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Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
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Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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wt: 9: 7 Axioms Logic and Equivalent Equations/
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wt: 9: 12 Comparison of Unsigned and Signed Numbers/
wt: 9: C Decimal Multiplication Methods/
wt: 9: 12 Webvideo Lessons on Area and Volume Calculation/
wt: 8: LAMP Lean Applied Mathematics Program/
wt: 8: 5 Factored Polynomial Sign Analysis Examples/
wt: 8: 3 Quadratics Geometrically/
wt: 8: 14 Degrees to Radians and Radians to Degrees/
wt: 8: 12 Function Translating and Rescaling/
wt: 8: 9 Lines and Slopes Take 2 with tangent function/
wt: 8: 1 Maps Plans Measurement/
wt: 8: A Origins of Counting and Figuring Methods/
wt: 8: 10 Examples of Algebraic Reasoning/
wt: 8: 9 Proportionality Backwards and Forwards/
wt: 8: 11 Squares and Square Roots/
wt: 8: Volume 3 Why Slopes A Calculus Intro Etc/
wt: 7: Progressive Observable Motivated Mathematics Education/
wt: 7: 2 Natural Logarithms Exponentials Powers Roots/
wt: 7: 10 Intersecting Straight Lines and Transversals/
wt: 7: 2 Euclidean Geometry Constructions Theory extras/
wt: 7: 3 Solving Linear Equations/
wt: 7: 9 Combinatorics Trees Tables and Products/
wt: 7: 7 Arithmetic and Fractions with Units/
wt: 7: 4 Remainder Arithmetic and Divisibility/
wt: 7: 3 Prime Factorization Skills/
wt: 7: D Decimal Long Division Methods/
wt: 7: 1 Decimal Place Value/
wt: 7: 38 Lessons on Calculating Derivatives/
wt: 6: Mathematics Education Essays/
wt: 6: 5 What is Similarity/
wt: 6: 4 Lines and Slopes Take 1/
wt: 6: 8 Unifying Theme For Algebra/
wt: 6: 10 LCM GCD and Euclid GCD Algorithm/
wt: 6: 6 Fractions and Ratios/
wt: 6: Advanced Calculus Volume 3 Appendices/
wt: 6: Volume 1B Mathematics Curriculum Notes/
wt: 6: Volume 1A Pattern Based Reason/
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wt: 5: B Real Numbers Extrinsic Development/
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wt: 9: C LAMP Introduction Culture in Mathematics Education
wt: 9: Quebec cahiers d apprentissage en mathematiques pour 4 16
wt: 9: 2 Radian Measure Numerical Value of one degree
wt: 9: 33 sines and cosines of 2A 3A 4A 5A
wt: 9: 13 Pythagorean spatial distance formulas
wt: 9: 9 Place Value Review Decimal form of Avogrados number included
wt: 9: 7 More on Groups of 3 Place Value in Mixed Decimal Fractions
wt: 9: 6 Groups of 3 Place Value in Mixed Decimal Fractions
wt: 9: 5 More on Groups of 3 Place Value in Decimal Fractions
wt: 9: 4 Groups of 3 Place Value in Decimal Fractions
wt: 9: 3 More on Groups of 3 Multi Digit Place Value
wt: 9: Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
wt: 8: B LAMP Introduction Curriculum Development Standards
wt: 8: 25 Absolute Value greatest integer and saw tooth functions
wt: 8: 5 Natural Logarithm Calculator Exercises
wt: 8: 3 Natural Logarithms and Exponentials Basic Properties
wt: 8: 6 Polynomial Operations and Equivalent Computation Rules
wt: 8: Rewriting algebraic substitution as function substitutions
wt: 8: 35 sines and cosines of 2A 3A 4A 5A
wt: 8: 34 sines and cosines of 2A 3A 4A 5A
wt: 8: 18 sum of sinusoidal waves as a single wave
wt: 8: PS F Scalar Multiplication Distributes over Addition
wt: 8: 3 Lengths and Areas on Maps and Plans
wt: 8: 9 Circle Area and Perimeter Formula Backwards Forwards
wt: 8: 4 Rectangle Area and Like Formulas Backwards
wt: 8: 3 Gaussian Elimination 3 unknowns first example
wt: 8: 8 Numerals Fractionals Quantals Take II
wt: 8: 7 Calculator Usage Notes and Cautions
wt: 8: 11 Place Value SI Standard International way
wt: 8: 2 Groups of Three Place Value for Multidigit Decimals
wt: 8: Chapter 29 Contrapositive and Vacuously True Implications
wt: 8: Chapter 22 Contrapositive and Vacuously True Implications
wt: 8: Montreal Basic and Advanced Mathematics Tutoring
wt: 7: chapitre 07 00 Des chaines plus longues de la raison
wt: 7: chapitre 04 10 Etapes pour une meilleur raison
wt: 7: 27 Graduated Correction and Penalties for Young Offenders
wt: 7: Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
wt: 7: Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
wt: 7: 6 quadratics numerical approach
wt: 7: 7 Coordinate Addition and Scalar Multiplication
wt: 7: Parallel Lines and Parallel Transversals
wt: 7: Construction Methods and Criteria for Isometric and Similar Triangles
wt: 7: 3 Straight Lines Slope as Tangent of Inclination Angle
wt: 7: 30 unit circle calculation of six trigonometric functions
wt: 7: 29 secant cosecant and cotangent for acute angles
wt: 7: 5 An Easy Proof of the Distributive Law
wt: 7: 13 Navigation Location from Angles to 2 Landmarks
wt: 7: 10 Similarity of Triangles Equivalent of Two Criteria
wt: 7: 9 Similarity of Triangles Usual Criteria
wt: 7: 10 Pythagorean plane distance formula
wt: 7: 8 Division and Mulplication of Compound Fractions
wt: 7: 5 Triangle Area Formula Backwards
wt: 7: 5 Gaussian Elimination for 3 unknowns 2nd example
wt: 7: 3 GE III Equation Addition and Multiplication
wt: 7: 6 Pythagorean Hypotenuse Calculation Example
wt: 7: 3 Triangle Area Formula Example
wt: 7: 2 Another Rectangle Area Formula Example
wt: 7: 5 Talking about Numbers and Quantities
wt: 7: 1 Squares and Square Roots Introduction
wt: 7: 15 GCD of 650 225 via Euclid Alg LCM via Product Rule
wt: 7: C Equality for Fractions and Two Term Ratios and Fractions
wt: 7: 7 Numerals Fractionals Quantals
wt: 7: A Decimals Modular and Remainder Arithmetic
wt: 7: 5 Prime Factorization and a Square Rule
wt: 7: Long Division forwards and backwards Example 3
wt: 7: 3 Harder Cases Convert to Compare and Subtract
wt: 7: 1 Comparison and Subtraction Easy Direct Cases
wt: 7: Quick history of numbers and algebra
wt: 7: 9 Comparison and Subtraction of Time Intervals
wt: 7: 33 Chain Rule Real Player video examples
wt: 7: 7 Evaluation by immediate or delayed substitution
wt: 7: Chapter 19. Exponentials and Natural Logarithms
wt: 7: Chapter 15. Algebraic Evaluation of Limits
wt: 7: Chapter 9 Talking about Numbers or Quantities
wt: 7: Chapter 2 Implication Rules Forwards and Backwards
wt: 7: Chapter 16 Origins and Limitations of Rules and Patterns
wt: 7: Chapter 14 Deductive and Empirical Views of Mathematics
wt: 7: Chapter 4 Implication Rules Forwards and Backwards
wt: 7: Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
wt: 7: Phase 1. Basics Skills with clear take home value 5 to 6 years
wt: 6: Ramblings Introduction Algebra Essay
wt: 6: need for a mixed mathematics curriculum
wt: 6: Leaner mathematics curriculum
wt: 6: 2 Conductance Resistance Duality02
wt: 6: 1 Conductance Resistance Duality01
wt: 6: E Wire Resistance Calculation03
wt: 6: A Wire Resistance Qualitative01
wt: 6: 25 Mathematics Education Leaving A Good Impression
wt: 6: 23 Modularized Skill Development Modularized Rigor Take IV
wt: 6: 23 Modularized Skill Development Modularized Rigor Take III
wt: 6: 23 Modularized Skill Development Modularized Rigor Take II
wt: 6: 21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
wt: 6: 20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
wt: 6: 5 Patience Please for Yourself and Your Charges
wt: 6: Objectives for Mathematics and Logic Language Skill Development
wt: 6: 17 Function maxima minima and their location
wt: 6: 11 Function Domain Range Source and Targets
wt: 6: 3 Formula or function graphing exercise
wt: 6: 2 Algebraic use of function notation
wt: 6: A Quadratics Summary
wt: 6: 9 quadratics physical and further context
wt: 6: 7 quadratic formulla derivation
wt: 6: 4 quadratics difference of two squares
wt: 6: 9 Summary Degrees to Radians and back
wt: 6: 8 Radian Measures of Common Angles
wt: 6: 7 Radian Measures in special Triangles
wt: 6: 4 Resultant of a Sum of Movements
wt: 6: Proportionality of Line Segments From Parallel Transversals
wt: 6: Parallel Lines and Alternating Corresponding Angles
wt: 6: 17 tangent function angle sum formulas
wt: 6: 27 Logarithmic use of products of sines and cosines
wt: 6: 22 sine of 22.5 degrees via half angle formulas
wt: 6: 17B sine cosine Angle Sum Formulas via cis
wt: 6: 17A The complex number valued trig function cis
wt: 6: 13 Graph of tangent function many periods
wt: 6: 10 sine cosine Angle Sum Formulas via cis
wt: 6: 2 Similar Triangles Equality of Corresponding Side Ratios
wt: 6: 5 Similarity of Circles Squares and Rectangles
wt: 6: 1 Numerical view of lines and their equations
wt: 6: 5 Cartesian Addition and Translation
wt: 6: 8 More Use of Maps Not Drawn to Scale
wt: 6: 4 Angles on Maps Plans drawn to scale
wt: 6: A Modular and Remainder Arithmetic
wt: 6: 15 Head to Tails in place Addition Associative
wt: 6: 14 Vector Head to Tail Sums and Resultants
wt: 6: 3 Location of Point in Decimal Multiplication
wt: 6: B Decimal Comparison and Subtraction
wt: 6: 4 Commutative Law Groups Counting Form
wt: 6: 3 Inequalities Algebraically
wt: 6: 1 Decimals Modular and Remainder Arithmetic
wt: 6: 8 Pythagorean Relation Forwards Backwards
wt: 6: 3 Linear Equation Literal Solution More
wt: 6: 2 More and Less Than for Counts and Measures
wt: 6: 3 Geometric Formulas and Function Notation
wt: 6: 2 Computation Rules Evaluation
wt: 6: 8 Compound Interest Formula Evaluation
wt: 6: 4 A Brief Story of numbers and algebra
wt: 6: 3 Comparison of Negative Numbers
wt: 6: 1 More and Less Than for Counts and Measures
wt: 6: 9 GCD of 360 110 via Primes and Euclid Algorithm
wt: 6: 3 signed coordinates for maps and planes
wt: 6: 16 Addition Subtraction Comparision Compared
wt: 6: 15 Adding and Subtracting with Unlike Denominators
wt: 6: 13 Fraction Comparison Algebraic View
wt: 6: 10 Simplification of Fractions and Mixed Numerals
wt: 6: 6 Multiplication Algebraically Take II
wt: 6: 3 Unit fraction of a fraction
wt: 6: 6 Multiplication by Natural Numbers
wt: 6: 10 video Prime Factorization upto 23 squared
wt: 6: 6 Sieve of Eratosthenes and Square Rule
wt: 6: Long Division forwards and backwards Example 2
wt: 6: Long Division forwards and backwards Example 1
wt: 6: A Elementary Basis for Multiplication Methods
wt: 6: 8 Subtraction with Units of Measure
wt: 6: 6. Counting and adding units and mixed units
wt: 6: Practical Methods Ends and Values for Arithmetic
wt: 6: 8 Addition of Time Intervals via subtotaling
wt: 6: Example 1. Area Between x and x squared
wt: 6: A Related Material in Volume 3
wt: 6: A Chain Rule Real Player video examples
wt: 6: 38 Formulas and derivatives for powers and roots
wt: 6: 28 Chain Rule Preparation for a Proof
wt: 6: 27 Chain Rule sinusoidal outer inner functions EGS
wt: 6: 25 Chain Rule Animated Examples Continued
wt: 6: 13 Limits with Parameters and Derivatives Take II
wt: 6: 5 Jumps and absence of unlimited error control
wt: 6: Chapter 14 Limits and Continuity with and sans Decimals
wt: 6: Appendix E. How To Study Mathematics and Why
wt: 6: Chapter 25. Mathematical Induction Examples
wt: 6: Chapter 25. Mathematical Induction Examples
wt: 6: Chapter 17. Pythagorean Theorem Chinese Square Proof
wt: 6: Chapter 10 Describing and Changing Calculations
wt: 6: Chapter 6 Change of Language
wt: 6: Chapter 5 Islands and Divisions of Knowledge
wt: 6: Chapter 6 Rule Based Reason in Mathematics
wt: 6: Chapter 2 For and Against Mathematics
wt: 6: Chapter 12 Islands and Divisions of Knowledge
wt: 6: Chapter 8 Change of Language
wt: 6: V Reasons and Motivations for Logic and Mathematics
wt: 6: Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
wt: 6: Phase 2. More Basic Skills with likely take home value 1 to 2 years
wt: 5: Appendix 1 primary and preschool mathematic
wt: 5: I LAMP Introduction Study Habits
wt: 5: H LAMP Introduction Instructional Concepts
wt: 5: F LAMP Introduction Prerequisites
wt: 5: E LAMP Introduction Modern Mathematics
wt: 5: Applied Maths Program14092009 POMME variant
wt: 5: Mathematics Education Professors
wt: 5: mathematics curriculum shifts
wt: 5: teaching tutoring algebraic reason
wt: 5: three goals for Mathematics Education
wt: 5: 04 29 New Mathematics Curriculum
wt: 5: standards for course material
wt: 5: Education in mathematics science and technology
wt: 5: education an empirical art
wt: 5: chapitre 07 01 principle D induction mathematique
wt: 5: chapitre 06 00 Chaines de la raison
wt: 5: chapitre 03 A Propos Des Prochains Chapitre
wt: 5: F Wire Resistance Calculation04
wt: 5: D Wire Resistance Calculation02
wt: 5: C Wire Resistance Calculation01
wt: 5: B Wire Resistance Qualitative02
wt: 5: 23 Modularized Skill Development Modularized Rigor
wt: 5: 13 Addition and Addition Tables
wt: 5: 6 Discipline Who is in Charge Conserving Authority
wt: 5: sign monoticity analysis example 3
wt: 5: 22 Square Root function graphically
wt: 5: 15 Sign analysis of functions
wt: 5: 4 Function notation in and beyond mathematics
wt: 5: 1 Geometric Introduction of Function Notation
wt: 5: 5 quadratics completing the square
wt: 5: 3 quadratics factoring by inspection
wt: 5: 2 quadratics graphing in general
wt: 5: 1 quadratics graphing exercises
wt: 5: 8 Formulas for Fractional Exponents with Logarithms
wt: 5: 2 Square Root Simplification a prequel
wt: 5: 1 Calculator Starter Exercises
wt: 5: 3 Polynomials Multiplication Addition
wt: 5: 13 cosecant function Definition Graph and Inverse
wt: 5: 11 arctan left inverse of tangent Graph
wt: 5: 4 Circle Sector Area proportional to Central Angle
wt: 5: 3 Circle Arclengh Proportional to Central Angle
wt: 5: 1 Degrees and Radians Introduction
wt: 5: A Global Time and Navigation
wt: 5: SAS Method For Isometric Or Proportional Triangle Construction
wt: 5: Analytic View of Triangle Construction or Line Instersection More
wt: 5: 14 Straight Lines Equations General Case
wt: 5: 7 Tangent Function is odd on this domain
wt: 5: 6 Tangent Function Inclination Angle Take 2
wt: 5: 2 Straight Lines Slopes As Rise Over Run
wt: 5: 32 seven rows of pascals triangle
wt: 5: 31 basic secant cosecant cotangent trig identities
wt: 5: 26 Formulas for products of sines and cosines
wt: 5: 25 tangent double angle formula Slope connection
wt: 5: 21 sine and cosine Half Angle Formulas
wt: 5: 20 sine and cosine Double Angle Formulas
wt: 5: 17D cis formulas for sine cosines and tangent
wt: 5: 17C sine and cosine double triple angle formulas
wt: 5: 11 tangent function undefined when terminal side vertical
wt: 5: 13 Trig Formulas for dot and cross Products
wt: 5: 12 cis formulas for sine cosines and tangent
wt: 5: 11 sine and cosine double triple angle formulas
wt: 5: 9 The complex number valued trig function cis
wt: 5: 7 Second Way to Calculate Products
wt: 5: 1 Rectangular Polar Coordinates Review
wt: 5: 5 Trigonometric Ratios For Tangent and Special Triangles
wt: 5: 7 Translations Rotations Reflections Dilatations
wt: 5: 11 A Partial Summary
wt: 5: 9 Pythagorean Theorem Chinese Square Proof
wt: 5: 6 Polar Multiplication and Rotation
wt: 5: 3 Rectangular Coordinates Review
wt: 5: PS H Distributive Law For Complex Numbers
wt: 5: PS G Rotation Distributes over Addition
wt: 5: PS E Multiplication with Polar Coordinates
wt: 5: PS D Addition with Cartesian Coordinates
wt: 5: PS B Parallelogram Construction Methods
wt: 5: 13 Angle Side Angle Failure
wt: 5: 6 Ruler and compass Angle Bisection
wt: 5: 3 Isometry of Triangles Congruence
wt: 5: A Measurement with Ruler Proper Use
wt: 5: 5 Drawing to Scale Avoids Angle Distortions
wt: 5: musings do not puiblish real numbers
wt: 5: 25 Mid way Convergence to Axiomatic Approach
wt: 5: 23 Distributive Law Two Derivations
wt: 5: 21 Addition of Multiples of a Single Vector
wt: 5: 20 Length and Direction of Collinear Vector Sums How to Add Definition
wt: 5: 13 Arrows and Vectors in a Plane
wt: 5: 5 Areas of Rectangles Revisited
wt: 5: 7 Pythagorean Theorem Chinese Square Proof
wt: 5: 6 Compound Interest Forward and Backwards
wt: 5: 2 Linear Equation Literal Solution
wt: 5: 6 Equations and Systems Equivalent or Implied
wt: 5: 4 Subtraction and Division Axioms
wt: 5: 2 Addition and Multiplication Axioms
wt: 5: 1 Equivalent Computation Rules
wt: 5: 4 Comparison of Negative Numbers
wt: 5: 13 Real Number Subtraction
wt: 5: 8 Coordinates for Maps and Planes
wt: 5: 1 Whole and Natural Numbers
wt: 5: 1 Formulas Dependence and Function Notation
wt: 5: 4 Solving a triangular system exercise
wt: 5: 3 Solving triangular system example
wt: 5: 5 Algebraic Solutions Introduction
wt: 5: Using Letters for Physical Quantities
wt: 5: Formula Usage Show Work Format
wt: 5: 7 Compound Interest Formula Introduction
wt: 5: 4 Circle Area Formula Example
wt: 5: 7 Cautious or Safe Set Construction
wt: 5: 6 Three Notions of What is a Variable
wt: 5: 3 Properties of Square Roots with example
wt: 5: 14 GCD of 650 110 via Primes LCM via Product Rule
wt: 5: 2 Least Common Multiple LCM intro via list method
wt: 5: 5 Counting with Tables Trees Product Rule Take II
wt: 5: 11 What are real lengths and numbers
wt: 5: 2 signed and unsigned numbers as coordinates
wt: 5: 5 Reciprocals and Division for Fractions with Units
wt: 5: 3 Multiplying Units and Numbers
wt: 5: 1 Addition and Subtraction with Units
wt: 5: A Similarities between Fractions and Two Term Ratios
wt: 5: 17 Efficient Ways to Add and Subtract
wt: 5: 14 Adding and Subtracting with Like Denominators
wt: 5: 1 What is a fraction Take II
wt: 5: A Associative Law Theorectical Note
wt: 5: 11 Adding Integers Formulas and Examples
wt: 5: 20 Remainder Arithmetic Rule of 9 for checking sums IV
wt: 5: 19 Remainder Arithmetic Rule of 9 for checking sums III
wt: 5: 18 Remainder Arithmetic Rule of 9 for checking sums II
wt: 5: 17 Remainder Arithmetic Rule of 9 for checking sums I
wt: 5: 13 Remainder Arithmetic Modulo 5 Example
wt: 5: 20 Uniqueness of Prime Factorization
wt: 5: 15 video Factors of 20 using Prime Factorization
wt: 5: 9 video Prime Factorization upto 19 squared
wt: 5: Appendix 1 Decimals Comparison Method Take II
wt: 5: 7 Subtraction for Decimal Fractions with Exercises
wt: 5: 2 Subtraction Easy Case Examples
wt: 5: 7 Adding decimal fractions using decimal point
wt: 5: 3. How to add with decimals A sans conversions
wt: 5: 10 Names for Big Numbers and Powers of Ten Expansion
wt: 5: Formula Evaluation how to show work
wt: 5: 016 Numbering Occidental Calendar Days
wt: 5: Example 1 volume of a pyramid
wt: 5: 5 Area Under Curve Exercise
wt: 5: 4 Definite Integrals Evaluation Exercises
wt: 5: 36 Cube root derivative animated
wt: 5: 34 Derivative of exponential function
wt: 5: 30Chain Rule A Proof
wt: 5: 26 Chain Rule Recognising outer inner functions
wt: 5: 24 Chain Rule Animated Examples
wt: 5: 17 Derivatives of quotients of sine and cosine
wt: 5: 16 Derivatives of reciprocals of sine and cosine
wt: 5: 1 Fall 1983 Why Slopes Appetizer
wt: 5: 12 Limits with Parameters and Derivatives Take I
wt: 5: .H1 First Fundamental Theorem of Calculus
wt: 5: G.2 Differentiable Functions Mean Value Theorem
wt: 5: F.1 What Functions are Continuous
wt: 5: Chapter 18. Slopes Areas Integration
wt: 5: Chapter 17. Area Approximation
wt: 5: Chapter 9 About First Courses in Calculus
wt: 5: Chapter 3. Slope Sign Analysis
wt: 5: Appendix A. Reading Guide For Next Appendices
wt: 5: Chapter 26 What is in chapters 27 to 31
wt: 5: Postscript Unifying Theme A Fourth Skill For Algebra
wt: 5: Chapter 12. Shorthand Usage Guide
wt: 5: Chapter 3 Chains of Reason
wt: 5: Chapter 4 Complex Numbers and Why Slopes
wt: 5: Chapter 3 Algebra Difficulties
wt: 5: Chapter 17 Objective Ways Trial and Error Discovery
wt: 5: Chapter 13 Geometric Thinking Euclidean Model For Reason
wt: 5: Chapter 3 What is in chapters 4 to 8
wt: 5: P Exact Arithmetic With Whole Numbers and Fractions
wt: 5: D. Check work a must with a caution
wt: 5: Phase 5. Calculus Light to Rigourous for 1 to 2 years
wt: 5: More Algebra and Slope based Calculus Preview
wt: 4: K LAMP Musings Science Education
wt: 4: Skills Chapter 3 Algebra
wt: 4: 7 logic review and decimals an odd combination
wt: 4: 5 logarithms and exponentials etc
wt: 4: 3 Euclidean Geometry Leanly
wt: 4: Teach the teachers plus goals
wt: 4: Math Ed if it must be short make it lean effective
wt: 4: grouping students according to ability
wt: 4: what should be learnt and When
wt: 4: Maps Plans Drawings
wt: 4: talk the algebra talk
wt: 4: 02 20 mathematics education references
wt: 4: three aims for mathematics students
wt: 4: Operational Viewpoint to Value
wt: 4: mathematics instruction in general
wt: 4: three kinds of reason in mathematics
wt: 4: Four ways to improve education reform
wt: 4: Prequel In For A Penny In For A Pound
wt: 4: fairness and inductive principles for instruction
wt: 4: chapitre 04 05 Implication versus suggestion
wt: 4: chapitre 04 04 Parlons de la logique
wt: 4: chapitre 04 03 Unidirectionnel versus bidirectionnel
wt: 4: chapitre 02 00 La Communication des idees
wt: 4: Trois Notions qui menent a algebre
wt: 4: 3 Like resistors in parallel
wt: 4: 2 Unlike resistors in parallel01
wt: 4: 19 Extending the Oral Dimension of Mathematics
wt: 4: 17 Math Booklets for children and young teenagers
wt: 4: 16 Secondary Mathematics Tips
wt: 4: 14 Multiplication and Times Tables
wt: 4: 12 Goals and Objectives For Mathematics
wt: 4: 11 Help and Defend Your Child or Teens Education
wt: 4: 10 Ends values for work study instruction
wt: 4: Ages 12 to 14 Skills with take home value
wt: 4: Ages 3 plus to 4 plus
wt: 4: sign monoticity analysis example 4
wt: 4: sign monoticity analysis example 2
wt: 4: sign monoticity analysis example 1
wt: 4: 21 Graphs of functions given by Horizontal Line Method
wt: 4: 8 Set view of relations and functions
wt: 4: 6 Set Existence Formation and Notation
wt: 4: 5 Function notation for geometric transformations
wt: 4: Introduction Reading Guide
wt: 4: 10 quadratic exercises
wt: 4: Quadratics in 10 steps
wt: 4: 9 Formulas for Real Exponents with Logarithms
wt: 4: 7 Formulas for Roots with Logarithms Derivation
wt: 4: 6 Formulas for Even and Odd Roots with Logarithms
wt: 4: 5 Polynomials Long division Nonlinear divisor
wt: 4: 4 Polynomials Long division linear divisor
wt: 4: 1 Polynomials Distributive Law
wt: 4: 16 cotangent function Definition Graph and Inverse
wt: 4: 15 cosecant function Definition Graph and Inverse
wt: 4: 14 secant function Definition Graph and Inverse
wt: 4: 10 arctan left inverse of tangent Definition
wt: 4: 6 Graph of arccos function
wt: 4: 5 Swapping Coordinates is a reflection
wt: 4: 6 Radian Measure to Degrees
wt: 4: 5 Degrees to Radian Measure
wt: 4: 12 From Applied To Pure Mathematics
wt: 4: 10 Parallelogram Addition Method
wt: 4: 5 Head To Tail Arrow Addition
wt: 4: 3 Navigation with Arrows or Vectors
wt: 4: 2 Graphing y=Af(x) Vertical Scaling
wt: 4: Parallel Lines and Interior Angles
wt: 4: Straight Lines ASA Intersection Study More
wt: 4: Straight Lines ASA Intersection Study
wt: 4: 13 Straight Lines Finding Equations from 2 points
wt: 4: 10 Straight Lines through Origin Equations More
wt: 4: 9 Straight Lines through Origin Equations
wt: 4: 8 Straight Lines Equation for vertical
wt: 4: 28 Expressing products of sines cosines as sums
wt: 4: 24 tangent Angle Difference Formula
wt: 4: 23 sine and cosine of 180 plus 22.5 degrees
wt: 4: 19 Pythagorean Identity For sine and cosine functions
wt: 4: 17E Trig Formulas for dot and cross Products
wt: 4: 16 Right Triangle Complementary Angle Relations
wt: 4: 14 cosine even and sine and tangent are odd
wt: 4: 12 Graph of tangent function for one period
wt: 4: 10 Graphs of sines and cosines many periods
wt: 4: 2 Quadrant I reference Angles
wt: 4: Appetizer A Complex Number Applet
wt: 4: 6 Trigonometry Sines of Supplementary Angles
wt: 4: 8 Similarity of Triangles and Polygons
wt: 4: 1 Early Concept of Like or Similar Shapes
wt: 4: 10 Midpoint of [a b] and [b a]
wt: 4: 5 Algebraic View of Slopes
wt: 4: 3 Slope product for perpendicular lines
wt: 4: What is and is not here
wt: 4: 1 Cartesian Coordinates sans signs
wt: 4: 16 Angles Subtended By Chords and Diameters
wt: 4: 15 Triangle Angle Sum is 180 degrees
wt: 4: 14 Parallel Lines Postulate
wt: 4: 9 Construction of a right bisector
wt: 4: 6 Figuring with Maps Not to Scale
wt: 4: 2 Measuring Area Directly
wt: 4: 26 More Less Greater Than Comparison
wt: 4: 22 Multiplication of Signed Numbers
wt: 4: 18 Geometrically Why Vector Addition Commutes
wt: 4: 17 Arrows Rotate to Reverse with Length Unchanged
wt: 4: 11 Signed Number Addition and Addition Properties
wt: 4: 10 Numbers given by Infinite Aperiodic Decimal Expansions
wt: 4: 4 Location of Point in Decimal Addition
wt: 4: 2 Counting Digits in Decimal Multiplication
wt: 4: A Decimal Addition Columm Methods
wt: 4: 8 Column Multiplication Methods in General
wt: 4: 7 Decimals Multiplication Methods Examples
wt: 4: 6 Column Methods for Decimal Multiplication
wt: 4: 5 Distributive Law for Whole Numbers
wt: 4: 3 Multiplicative Counting Skills Principles
wt: 4: 4 Fraction Operations Axiomatic Development
wt: 4: 5 Proportionality in Equivalent Fractions
wt: 4: 4 Rates Ratios and Proporitionality
wt: 4: 1 Changing Calculations
wt: 4: 5 Equality in Algebra
wt: 4: 3 More and Less Than with Unlike Signs
wt: 4: 1 Real Numbers Comparison
wt: 4: 16 Real Numbers Comparison
wt: 4: 14 Real Number Multiplication
wt: 4: 12 Real Number Additive Inverses or Negatives
wt: 4: 7 Real Numbers as Line Cordinates
wt: 4: 1 GE Substitution four examples
wt: 4: 6 Algebraic Solution Example
wt: 4: 4 Four Examples Fractional Coefficients
wt: 4: 1 Proper Equal Sign Usage
wt: 4: 13 Naming Identifying Formulas with Words
wt: 4: 5 Box Volume Formula Example
wt: 4: 9 Sets in Probability and Statistics
wt: 4: 2 What is a Variable
wt: 4: arithmetic videos Real Player Format
wt: 4: 1 Least Common Multiples LCM Introduction
wt: 4: 4 Counting with Trees Product Rule Take I
wt: 4: 3 Counting with Tables and Trees II
wt: 4: 6 Simplification of Fractions with Units
wt: 4: 2 Equality and Units
wt: 4: 11 Simplification an Algebraic View
wt: 4: 2 Unit Fraction Multiplication
wt: 4: 1 What is a fraction
wt: 4: D Remainders Modulo 11 Pair Rule
wt: 4: 13 Subtraction with Additive Inverse
wt: 4: 10 Integer Multiplication Formulas
wt: 4: 2 Integers Multiplies of a Unit Moverment
wt: 4: 23 Remainder Arithmetic Modulo 2
wt: 4: 22 Remainder Arithmetic Modulo 3 more
wt: 4: 21 Remainder Arithmetic Modulo 3
wt: 4: 16 Remainder Arithmetic Modulo 9 Example 2
wt: 4: 15 Remainder Arithmetic Modulo 9 Example
wt: 4: 14 Remainder Arithmetic Modulo 9 Example
wt: 4: 12 Remainder Arithmetic Modulo 10 Example
wt: 4: 11 Remainder Arithmetic Long Division by 5 Quickly more
wt: 4: 10 Remainder Arithmetic Long Division by 5 Quickly
wt: 4: 8 Remainder Arithmetic Morulo 5 Examples II
wt: 4: 7 Remainder Arithmetic Modulo 5 Examples I
wt: 4: 4 Remainder Arithmetic Modulo 10 in general
wt: 4: 3 Remainder Arithmetic Modulos 10 more still
wt: 4: 19 video Prime Factorization Unique
wt: 4: 18 video Count Factors given Prime Factorization
wt: 4: 17 Identify and Count Factors using Primes
wt: 4: 13 video Factors of 24 using prime
wt: 4: 11 Efficient Square Rule Use
wt: 4: 4 video Prime Factorization Introduction
wt: 4: 1 video how Products are bigger than factor
wt: 4: 7 Long Divison Mistake Catching
wt: 4: 6 Why Decimal Long Division Methods Works Take I
wt: 4: 3 Division Single Digit Divisor Example
wt: 4: C Counting Areas with Powers of Ten
wt: 4: 6 Multiplication Commutes Order Not Important
wt: 4: 5 Decimal Fraction Multiplication
wt: 4: Video Decimal Multiplication Geometric View Example 2
wt: 4: Video Decimal Multiplication Geometric View Example 2
wt: 4: Appendix 2 Three Decimal Subtraction Methods
wt: 4: 6 Subtraction with Conversion Example with Exercises
wt: 4: Appendix 1 Counting Revisited 15 minute video
wt: 4: 8 What skills and work habits to require
wt: 4: 1 Place Value in Three Digit Whole Numbers
wt: 4: Exact Arithmetic Wholes and Fractions
wt: 4: The 12 Times Table Visually
wt: 4: 015 School and work day counting tables
wt: 4: 014 Counting Days with Calendars
wt: 4: 012 Division of Time Intervals by Time Intervals
wt: 4: 011 Division of Time Intervals By Numbers
wt: 4: 010 Repeated Addition of Time Intervals
wt: 4: 4 Mixing and Changing Units of Time
wt: 4: 3 Units and Lengths of Time
wt: 4: Example 2 volume of a cone
wt: 4: Area Between Crossing Curves Lesson Take 2
wt: 4: Area Between Crossing Curves Lesson Take 1
wt: 4: Area Between Curves Lesson Take 2
wt: 4: Area Between Curves Lesson Take 1
wt: 4: 3 Two Chain Rule Method Exercises
wt: 4: A Related lessons in Volume 3
wt: 4: 1 Two cubic sketching exercises with 1st derivative
wt: 4: 31 Derivatives of inverse functions
wt: 4: 29 Chain Rule Optional Reading
wt: 4: 23 Chain Rule in general
wt: 4: 19 Chain Rule for linear functions
wt: 4: 18 Chain Rule Introduction
wt: 4: 7 Animated Differentiation Examples
wt: 4: 8 Four Animated Examples
wt: 4: 1 Numerical introduction
wt: 4: Postscript One Sided and Intermediate Value Theorems
wt: 4: G.6 Bounded Derivatives implies Lipshitz Continuity
wt: 4: G.4 Lipschitz Continuity implies EquiContinuity
wt: 4: F.3 Intermediate Value Theorem
wt: 4: PostScript For and Against Decimal Perspectives
wt: 4: Postscript Pythagorean Theorem yet another proof
wt: 4: Chapter 24 Logarithms Powers and Exponentials
wt: 4: Chapter 13. Acceleration
wt: 4: Chapter 12. Units and Slopes
wt: 4: Chapter 10 Slopes and Units
wt: 4: Chapter 6. Slopes and Vertical Shifts
wt: 4: Chapter 4. More Slope Sign Analysis
wt: 4: Chapter 2. Slopes and Ski Trails
wt: 4: Fall 1983 Calculus Appetizer
wt: 4: Appendix D. What to do in School and Why
wt: 4: Chapter 31 Direct and Indirect Reason
wt: 4: Chapter 30 Truth Tables
wt: 4: Chapter 27 Shorthand Symbols as Pronouns
wt: 4: Chapter 23. Notation For Sums
wt: 4: Chapter 22. Geometric Sums and Sequences
wt: 4: Chapter 20. Degrees and Radians
wt: 4: Chapter 18. Rules for Algebra
wt: 4: Chapter 15. Solving Linear Equations
wt: 4: Chapter 13. Second Reading Guide
wt: 4: Postscript What is a Variable
wt: 4: Chapter 7 Prep for Calculus Arithmetic Exercises
wt: 4: Chapter 4 Longer Chains of Reason
wt: 4: Chapter 1 Introduction to Chapters 2 to 6
wt: 4: Annotated Links to Material Elsehwere
wt: 4: Postscript B Mathematics Education References
wt: 4: Postscript C Consistency as a Tool for Reason
wt: 4: Chapter 23 Truth Tables
wt: 4: Chapter 20 Shorthand Symbols as Pronouns
wt: 4: Chapter 19 What is in chapters 20 to 24
wt: 4: Chapter 11 Accidental Patterns
wt: 4: Chapter 9 What is in Chapters 10 to 18
wt: 4: Chapter 7 Longer Chains of Reason
wt: 4: Chapter 6 Chains of Reason
wt: 4: R Why Learn Mathematics Skills
wt: 4: O On Learning Mathematics and Science
wt: 4: N Mathematics Prepare for College Studies
wt: 4: I. Logic and language skills
wt: 4: F. The student teacher tutor feedback loop
wt: 4: Ends Values Methods For Skill Development Framework Prequel
wt: 4: Multiple Ways to Improve Mathematics Skill Development
wt: 4: Systematic Algebra Skill Development Missing Links
wt: 3: Appendix 2 primary school Arithmetic 01
wt: 3: J LAMP Introduction Extrinsic Origins
wt: 3: G LAMP Introduction Problem Solving Skills
wt: 3: A Introduction Objectives
wt: 3: Skills Chapter 0 Introduction
wt: 3: 11 pure mathematics
wt: 3: 8 analytic geometry etc
wt: 3: 1 arithmetic with unsigned numbers
wt: 3: links Education Resources online
wt: 3: About site lesson plans
wt: 3: Education Reform Inconsistencies
wt: 3: five decades make a difference
wt: 3: how letters appear
wt: 3: Secondary Three Mathematics
wt: 3: Secondary Two Mathematics
wt: 3: Secondary One Mathematics
wt: 3: geometric implications for algebra
wt: 3: Lessening Algebra Difficulties
wt: 3: the trouble with algebra
wt: 3: 05 13 OldSiteEntrancePage
wt: 3: 04 25 when to stop or suspend mathemat
wt: 3: Different Kinds of Reasoning in maths
wt: 3: words for mathematics instructor
wt: 3: chapitre 04 07 RepetablesEtReproductibles
wt: 3: chapitre 01 00 Introduction
wt: 3: problemes algebre et arithmetique
wt: 3: deux definitions pour variable
wt: 3: 24 Standards For Skill Develoment Take II
wt: 3: 22 Student Centered Highschool Mathematics
wt: 3: 18 Primary School Mathematics
wt: 3: 9 Streaming by Student Cooperation
wt: 3: 8 The Effect of Negative Remarks
wt: 3: 4 Learning Takes Time and Effort
wt: 3: 3 Preparing for Science Studies
wt: 3: Ages 4 plus to 5 plus
wt: 3: 20 Interchanging coordinates a reflection
wt: 3: 19 Horizontal line rule and method
wt: 3: 18 Vertical Line Rule and Method
wt: 3: 16 Increasing or decreasing on intervals
wt: 3: 12 Function Domain Recognition Exercises
wt: 3: 10 Exponential Growth and Decay Models
wt: 3: 2 Column Multiplication Method
wt: 3: 12 motivation for term arctan
wt: 3: 9 motivation for name arcsin
wt: 3: 8 arcsin left inverse of sine Graph
wt: 3: 3 Left Inverse of cosine arccos definition
wt: 3: 9 Head to Tail Coordinate View
wt: 3: Vector and Complex Number Applet
wt: 3: 3 graphing y=f(x c) plus K
wt: 3: Triangle Angles Sum To 180 Degrees
wt: 3: Straight Lines Instersection Solving Equations
wt: 3: D Straight Lines Slope from Coordinates Examples
wt: 3: A Straight Line Slope Scaling Properties
wt: 3: 12 Straight Lines Graphing mx plus b
wt: 3: 5 Tangent Function Graph
wt: 3: 15 sine cosine Complementary Angle Relations
wt: 3: 9 Graphs of sine and cosine over one period
wt: 3: 8 period of tangent function
wt: 3: 6 sines and cosines for reference angle 30 degrees
wt: 3: 3 sines and cosines for reference angle 90 degrees
wt: 3: Right Triangle and Unit Circle Trigonometry
wt: 3: 21 Logarithms Powers and Exponentials
wt: 3: 17 Cube Roots of unity
wt: 3: 16 References and Originality Question
wt: 3: 2 Complex Numbers made easier we hope
wt: 3: 8 Triangles Cascade Problem Solving
wt: 3: 4 Trigonometric Ratios For Two Special Triangles
wt: 3: 3 Trigonometric Ratios sine and cosine
wt: 3: 1 Angle Measurement with Degrees
wt: 3: Why Trigonometry the whyslopes view
wt: 3: Right Triangle and Unit Circle Trigonometry
wt: 3: 11 Triangle Similarity Missing Side Problem
wt: 3: 6 Geometric Diagrams in Class
wt: 3: 3 Similarity by Design with coordinates
wt: 3: 9 Midpoint Coordinates Half Endpoint Sum
wt: 3: 7 Exercises to test skill and concept mastery
wt: 3: 2 point slope equation for a line
wt: 3: 12 Spatial Coordinates
wt: 3: 11 Triangle Inequality
wt: 3: 8 Distance Between Points on a Line
wt: 3: 4 Polar Coordinates to and from
wt: 3: 2 Cartesian Coordinates with signs
wt: 3: PS C Similarity Use Recognize it in Trigonometry
wt: 3: PS A Kite Construction Methods
wt: 3: 21 Parallelograms
wt: 3: 18 Triangle Similarity Take 1
wt: 3: 17 Right Bisectors of Triangle Sides
wt: 3: 12 Side Angle Side Failure
wt: 3: 11 Triangle Construction Fails
wt: 3: 10 Dropping a perpendicular to line
wt: 3: Short Course on Euclidean Geometry
wt: 3: A Signed Number Arithmetic Review
wt: 3: 16 Collinear Horizontal Arrows Vectors
wt: 3: 12 Real Numbers Line Signed Coordinates
wt: 3: 9 Division with Digits after Decimal Point
wt: 3: 7 Arithmetic with Infinite Decimal Expansions
wt: 3: 5 Fractions with Infinite Decimal Expansions
wt: 3: 1 Fractions with Finite Decimal Expansions
wt: 3: C Three Decimal Subtraction Methods
wt: 3: 2 Combing Counts Addition Skills and Principles
wt: 3: 1 The Counting Origins of Numbers
wt: 3: 2 Fraction Operations Physical Development
wt: 3: 3 Proportionality Examples
wt: 3: 1 What is Proportionality
wt: 3: 3 Product Axioms Two Forms
wt: 3: 5 Greater More Less Than Signs in General
wt: 3: 15 Real Number Division
wt: 3: 11 Real Number Addition
wt: 3: 10 Real Number Lengths and Signs
wt: 3: 6 Unsigned Real Numbers
wt: 3: 5 Rational Numbers More
wt: 3: 4 Rational Numbers
wt: 3: 4 GE III Animated Examples
wt: 3: 2 Essentially one exercises three with solution
wt: 3: 3 Four Examples
wt: 3: 10 Volume of Pyramid
wt: 3: 5 Product Builder Notation
wt: 3: 4 Subset Builder Notation
wt: 3: 3 Counting with Sets etc
wt: 3: 3 Adding Words To Arithmetic
wt: 3: 4 Greater More Less Than Signs in General
wt: 3: 2 More and Less Than with Unlike Signs
wt: 3: 17 GCD LCM of 85 and 60 via Prime
wt: 3: 16 GCD and LCM of 650 225 via Prime
wt: 3: 13 GCD from given Prime Factorization
wt: 3: 11 GCD 2700 288 via Euclid Algorithm
wt: 3: 10 Euclid Algorithm with 129 125 and with 45 14
wt: 3: 8 GCD from Euclidean Algorithm
wt: 3: 7 GCD and LCM from prime factorization
wt: 3: 4 LCM of 8 and 10 via Prime
wt: 3: LCM 60 45 Avoid List Method Use Prime
wt: 3: 2 Counting with Tables and Trees I
wt: 3: 1 Counting and Counting Methods I
wt: 3: 9 subtracting signed numbers
wt: 3: 7 negative and additive inverse
wt: 3: 5 lengths and signs of numbers
wt: 3: B Fractions and Two Term Ratios
wt: 3: 21 Reciprocals for Fractions and Wholes
wt: 3: 12 Fraction Comparison
wt: 3: 9 Improper Fractions and Mixed Numbers
wt: 3: 5 Equivalent Fractions
wt: 3: 4 Fraction Multiplication
wt: 3: 8 Multiplication by Signed Numbers Integers
wt: 3: 3 Adding Movements with same direction
wt: 3: 27 Divisibility by 2 3 6 5 9 10 Example
wt: 3: 26 Divisibility by 2 3 5 Example
wt: 3: 25 Divisibility Tests for 2 3 5 9 10 Example
wt: 3: 9 Remainder Arithmetic Divisibility by 5
wt: 3: 6 Remainder Arithmetic Modulo 5 Propertie
wt: 3: 5 Remainder Arithmetic Modulo 5
wt: 3: 2 Remainder Arithmetic Modulo 10 more
wt: 3: 1 Remainder Arithmetic Modulo 10
wt: 3: 16 video Factors of 980 using prime
wt: 3: 14 video Factors of 24 Take II
wt: 3: 8 video Prime Factorization upto 19
wt: 3: 3 video Primes and Composites from 9 times table
wt: 3: Long Division Backwards more
wt: 3: Long Division Backward
wt: 3: Division with Counts and Length
wt: 3: 12 Why Long Division Works Take III
wt: 3: 11 Another Single Digit Divisor Example
wt: 3: 10 Division by Five Long and Short Ways
wt: 3: 9 Why Long Division Works Take II
wt: 3: D Decimal Multiplication Methods Derived
wt: 3: Video Power Notation in Decimal Expansion
wt: 3: Subtraction with J Conversions Example
wt: 3: Subtraction Another Video Lesson
wt: 3: 9 22 Minute Subtraction Review Video
wt: 3: 5 A Tip for Efficent Subtraction
wt: 3: 4 Subtraction with Conversions Borrows and Letter J
wt: 3: 5. How to add decimals C. Examples
wt: 3: 2 Decimal Counting Practices
wt: 3: 1. Explaining Addition Table
wt: 3: Expression Evaluation how to show work
wt: 3: 013 Travel Time Tables
wt: 3: 7 Addition of Time Intervals
wt: 3: 2 Time and Date Matters in School
wt: 3: 1 Intro of Kids To Time Date Skills
wt: 3: Example 4 with x function of y
wt: 3: 1 Chain Rule in Reverse Integration Method
wt: 3: 4 Second derivative test exercise example
wt: 3: 22 Chain Rule for polynomials
wt: 3: 20 Chain Rule for Pulley Systems
wt: 3: 15 sine and cosine derivatives 3rd step
wt: 3: 13 sine and cosine derivatives 1st step
wt: 3: 12 Quotient rule examples
wt: 3: 8 Differentiation of polynomials
wt: 3: 6 Power rule from product rule
wt: 3: 3 Motivation for Limit Definition Take 2
wt: 3: 6 Continuity at a point
wt: 3: 3 Decimal insights for limits continuity convergence
wt: 3: 2 Algebraic codification
wt: 3: .H2 Lipshitz Conditions Integration Calculus Reform
wt: 3: G.3 Constant Difference Theorem Proof
wt: 3: F.5a Equicontinuity Theorems
wt: 3: E2 Algebraic Properties of Limits
wt: 3: D1 Sets and Sequences GLBs and LGBs
wt: 3: C Triangle Inequalities
wt: 3: B3 Bolzano Weierstrass Theorem
wt: 3: A1. Introduction
wt: 3: Chapter 21 Arrow Addition
wt: 3: Chapter 20 Vectors and Complex Numbers
wt: 3: Chapter 16. Velocity Approximation
wt: 3: Chapter 15. Slope Approximation
wt: 3: Chapter 11. Graphing Slope versus Position
wt: 3: Chapter 7 Slopes and Velocity
wt: 3: Chapter 1.Introduction
wt: 3: Chapter 28 Occurrence Tables
wt: 3: Chapter 24. Personal Investment and Pension EGS
wt: 3: Chapter 21. Third Reading Guide
wt: 3: Chapter 19. Functions and Sets
wt: 3: Chapter 11. Why Shorthand
wt: 3: Chapter 8 Three Skills For Algebra
wt: 3: Solutions For Arithmetic Exercises
wt: 3: Chapter 12 Four Phases
wt: 3: Chapter 11 Elementary Instruction
wt: 3: Chapter 7 Two Treatments of Geometry
wt: 3: Chapter 1 Introduction
wt: 3: Postscript D Reflections on Law of the Excluded Middle
wt: 3: Chapter 24 Direct and Indirect Reason
wt: 3: Chapter 21 Occurrence Tables
wt: 3: Chapter 1 Introduction
wt: 3: S Adding words to algebra
wt: 3: Q How Logic and Proofs extend Show Work Practices
wt: 3: L Skills with take home value
wt: 3: N Improving Marks on Tests and Finals
wt: 3: H Jigsaw puzzles and problem solving
wt: 3: C. Domino effect of being careful
wt: 3: Helping the Blind in Logic and Mathematics
wt: 3: Road Safety Questions
wt: 2: Skills Chapter 5 Calculus
wt: 2: Ramblings Extrinsic numbers theory
wt: 2: Skills Chapter 1 Arithmetic
wt: 2: 10 statistics
wt: 2: 9 combinatorics probability sets
wt: 2: 6 polynomials etc
wt: 2: 4 algebra
wt: 2: 2 arithmetic with signed numbers
wt: 2: What is POMME
wt: 2: three goals to set for students
wt: 2: permissions for teachers
wt: 2: activities for students
wt: 2: site eurekas
wt: 2: teacher certification
wt: 2: modern education
wt: 2: learning takes time
wt: 2: mathematics in context
wt: 2: teaching tips
wt: 2: What to Tell Students
wt: 2: formal or informal peer review
wt: 2: cultivating intelligence
wt: 2: How to be a better instructor
wt: 2: Motivation and Context Problem
wt: 2: chapitre 12 00 les iles et division
wt: 2: chapitre 04 09 Regles accidentelles
wt: 2: chapitre 04 08 Limitations et benefices
wt: 2: chapitre 04 06 engagements
wt: 2: chapitre 04 02 Deuxieme enigme
wt: 2: chapitre 04 00 Les regles d implication
wt: 2: logique deux enigme
wt: 2: 3 Energy Power Heat08
wt: 2: F Unlike Resistors in Series
wt: 2: E Kirchoffs Second Law
wt: 2: D Kirchoff First Law
wt: 2: C Electromotive force conventional current02
wt: 2: B Electromotive force conventional current01
wt: 2: A Circuit Elements
wt: 2: Home Tutoring and Home Schooling
wt: 2: 24 Standards For Skill Develoment
wt: 2: 15 Counting For Parents
wt: 2: 7 Student Motivation
wt: 2: 2 Reading and Writing Skills
wt: 2: Ages 12 to 14 Arithmetic
wt: 2: Ages 10 to 12 Arithmetic
wt: 2: 26 Function definitions done and coming
wt: 2: 24 Monotoncity Injectivity and Inverse Functions
wt: 2: 23 Inverse Functions
wt: 2: 13 From one to one to many to one
wt: 2: 10 Interval Notation
wt: 2: 7 Functions with finite domains
wt: 2: 11 Growth and Decay in Biology
wt: 2: 8 Notes for instructors or tutors
wt: 2: 7 arcsin left inverse of sine Definition
wt: 2: 4 possible motivation for term arccos
wt: 2: 15 Dot and Cross Product
wt: 2: 8 Parallel Vectors
wt: 2: 1 Unsigned Coordinates
wt: 2: 4 graphing y=Asin(x c)
wt: 2: 1 graphing y=f(x a)
wt: 2: Straight Lines Intersection of
wt: 2: C Straight Lines Slope from Coordinates
wt: 2: B Straight Line Slope Scaling Properties More
wt: 2: 11 Straight Lines Graphing y=mx
wt: 2: 4 Tangent Function Properties
wt: 2: 17G Pythagorean Theorem Converse
wt: 2: 17F Law of cosines
wt: 2: 7 period of sine and cosine
wt: 2: 5 sines and cosines for reference angle 60 degrees
wt: 2: 4 sines and cosines for reference angle 45 degrees
wt: 2: 1 Unit Points Reflections Rotations
wt: 2: Unit Circle Development of Trigonometry
wt: 2: 20 N th Roots of Complex Numbers
wt: 2: 19 N th Roots of Unity
wt: 2: 18 Sixth Roots of Unity
wt: 2: 15 Pythagorean Theorem Converse
wt: 2: 14 Law of cosines
wt: 2: 8 Unit Circle Development of Trigonometry
wt: 2: 6 Field Properties of Complex Number
wt: 2: 4 Multiplication Properties
wt: 2: 3 Addition Properties
wt: 2: 7 Trignometric Ratios Unit Circle
wt: 2: 12 Triangles Similarity More Problems
wt: 2: 4 Similarity Definition with Coordinate
wt: 2: Four Simple Exercises
wt: 2: 8 Mid Point Formula
wt: 2: 6 Intersection of lines by solving linear systems
wt: 2: 4 Equations for lines three forms
wt: 2: 7 Complex Numbers Appetizer
wt: 2: Euclidean Geometry Elsewhere LINKS
wt: 2: 19 Right Triangle Similarity
wt: 2: 8 Isoceles Triangles
wt: 2: 7 Angle Side Angle
wt: 2: 1 Initial Concepts and Terms
wt: 2: 1 Length Measurement
wt: 2: About Folder Contents
wt: 2: 24 Signed Numbers Arithmmetic Properties
wt: 2: 19 Signed Multiples of Vectors
wt: 2: 6 Infinite Decimals Ending in 9 repeating
wt: 2: 2 Algebraic View
wt: 2: 9 Coordinates for Regions in Space
wt: 2: 3 Fractions
wt: 2: 5 Independent versus Dependent Variables
wt: 2: 4 Changing Letters
wt: 2: 2 GE II Comparison
wt: 2: 1 Essentially One Unknown
wt: 2: 3 Two Examples
wt: 2: 11 Volume of Sphere
wt: 2: 9 Volume of Cone
wt: 2: 1 Written work formats for developing and showing skill
wt: 2: 10 Set View of Wordy Extensions To Arithmetic
wt: 2: 8 Sets of Numbers
wt: 2: 2 Venn Diagrams
wt: 2: 1 Three Skills For Algebra
wt: 2: About Folder Contents
wt: 2: 5 Square Roots with primes more still
wt: 2: 4 Square Roots with primes more
wt: 2: 2 Square Roots with Prime
wt: 2: 5 Common Divisors 60 45 via Prime
wt: 2: 8 multiplying signed numbers
wt: 2: 6 adding signed numbers
wt: 2: 4 signed coordinates for regions in space
wt: 2: 7 Converting or Changing Units
wt: 2: 4 Fractions with Units
wt: 2: 22 Complex Compound Fractions
wt: 2: 20 Dividing Fractions the Why
wt: 2: 18 Efficient Ways to Multiply
wt: 2: B Integer Long Division Multiple Choices
wt: 2: 12 Adding Integers More Examples
wt: 2: 7 Multiplication by Signs
wt: 2: 5 Zero Movement and Additive Inverses
wt: 2: 1 Integers as Coordinates
wt: 2: 24 Divisibility Tests for 2 3 5 9 10
wt: 2: 12 LCD GCD and LCM using Primes
wt: 2: 2 Prime and Composites less than 16
wt: 2: 8 Correcting the Mistake
wt: 2: 5 Long Division Include Zeroes or not
wt: 2: 2 Division with Single Digit Divisors
wt: 2: 1 Divsion Physical Examples
wt: 2: 4 Two and Three Digit Multipliers
wt: 2: 3 More One Digit Multipliers
wt: 2: 1 Why 3 times 5 gives 15
wt: 2: 4. How to add with decimals B with conversions
wt: 2: 8 Review Lesson 1 2 4 and 6 All in One
wt: 2: About folder contents
wt: 2: 6 How long is a million seconds
wt: 2: Volume of Solid by Cross Sections Lesson
wt: 2: Example 3
wt: 2: Summary
wt: 2: 2 Indefinite Integrals Exercises
wt: 2: 3 Second derivative test
wt: 2: 2 Second derivative test prequel
wt: 2: 21 Chain Rule for powers
wt: 2: 14 sine and cosine derivatives 2nd step
wt: 2: 11 Quotient rule
wt: 2: 10 Power rule for negative integers
wt: 2: 9 Reciprocal rule
wt: 2: 5 Product Rule
wt: 2: 4 Sum Rule
wt: 2: 2 Motivation for Limit Definition Take 1
wt: 2: 11 Limits at infinity Three Examples
wt: 2: 10 Three one sided limits with infinite values
wt: 2: 9 Limits Continuity and Composition
wt: 2: 4 Numerical properties
wt: 2: G.1 Differentiable Functions Rolles Theorem
wt: 2: F.5b Extreme Value Theorem
wt: 2: E1 Error Control Inequalities
wt: 2: D2 Limits of Monotone Sequences
wt: 2: Chapter 23 Links To Trigonometry
wt: 2: Chapter 22 Complex Numbers
wt: 2: Chapter 8. Slope Interpretation
wt: 2: Appendix C. How to Read
wt: 2: Appendix B. How To Learn
wt: 2: Chapter 16. Painless Theorem Proving
wt: 2: Postscript A Three Remarks
wt: 2: Chapter 10 Transition
wt: 2: Chapter 8 Modern Instruction
wt: 2: Chapter 5 Four References
wt: 2: Postscript B More on Story Telling and Reason
wt: 2: Chapter 18 Sense and Knowledge
wt: 2: 1 Links to Online Resources Elsewhere Take 1
wt: 2: H more Routine to non routine problem solving
wt: 2: G. Written work formats for developing and showing skill
wt: 2: A. Skill has to be seen to believed
wt: 2: How to Build Skills and Confidence
wt: 1: Skills Chapter 4 Logic
wt: 1: Skills Chapter 2 Geometry
wt: 1: why bother
wt: 1: which way to go
wt: 1: key notes and themes
wt: 1: three difficulties
wt: 1: 02 21 words for teachers
wt: 1: Theory of Knowledge
wt: 1: chapitre 05 00 Deception
wt: 1: chapitre 04 01 Premiere enigme
wt: 1: 4 Energy Power Heat09
wt: 1: 2 Energy Power Heat07
wt: 1: 1 Energy Power Heat06
wt: 1: C Energy Power03
wt: 1: A Energy Power01
wt: 1: 1 Like resistors in series
wt: 1: H Series Circuit02
wt: 1: G Series Circuit01
wt: 1: 1 Speaking Skills
wt: 1: Ages 12 to 14 Geometry
wt: 1: Ages 10 to 12 Geometry
wt: 1: Ages 9 to 10
wt: 1: Ages 8 to 9
wt: 1: Ages 7 to 8
wt: 1: Ages 6 to 7
wt: 1: 14 Surjections Injections Bijections
wt: 1: 9 Set theory term relation possible origins
wt: 1: 2 cosine function more properties
wt: 1: 1 cosine function properties
wt: 1: 13 Velocity Vectors in Physics
wt: 1: 6 Vectors with Coordinates
wt: 1: 2 Signed Coordinates
wt: 1: 1 Straight Lines Slope Concept
wt: 1: 2 Similarity By Design
wt: 1: 5 Side Angle Side
wt: 1: 2 Correspondence between Triangles
wt: 1: E Long Division Methods more
wt: 1: D Long Division Methods
wt: 1: More Exercises
wt: 1: Simple Exercises
wt: 1: 2 Three Examples
wt: 1: 10 One Example
wt: 1: 9 Three Examples
wt: 1: 8 One Example
wt: 1: 7 Two Examples
wt: 1: 6 Three Examples
wt: 1: 5 Three Examples
wt: 1: 4 Two Examples
wt: 1: 2 Three Examples
wt: 1: 12 Cone Cylinder Sphere Lesson Idea
wt: 1: 6 Power Set Notation
wt: 1: 12 GCD 2700 288 via Prime
wt: 1: 10 dividing signed numbers
wt: 1: D Three Term Ratios
wt: 1: 19 Dividing Fractions How TO
wt: 1: C Divisibility by 11 Integer Recognition Method
wt: 1: 9 Multiplying Integers
wt: 1: 4 Adding Movements wiht opposite directions
wt: 1: 4 Division with 2 Digit Divsors
wt: 1: B Powers of Ten
wt: 1: 2 One Digit Multipliers
wt: 1: The 20 Times Table
wt: 1: 5 Conversion Arithmetic
wt: 1: Example 2
wt: 1: Example 1
wt: 1: G.5 Motions With Bounded Velocities
wt: 1: F.2 Closed Range Theorem
wt: 1: B1 Pigeon Hole Principles from combinatorics
wt: 1: Chapter 5. Slope Sign Tests
wt: 1: Postscript More on Better Performance
wt: 1: Postscript For Better Performance
wt: 1: Chapter 9 The Two Ends
wt: 1: Postscript A Story Telling
wt: 1: Chapter 15 Objective Processes
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wt: 1: Chapter 5 Deception
wt: 1: Chapter 2 Skill Development
wt: 1: Three Remarks
wt: 1: M Words to extend arithmetic
wt: 1: J. More on written work and showing skill
wt: 1: E. When and how to correct errors
wt: 1: B. Domino effect of errors
wt: 1: Implementation Notes
wt: 1: Which Way To Go
wt: 12: Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
wt: 11: 8 quadratics backward use of various formulas
wt: 10: 14 Why Scalar Multiplication Distributes Physical Argument
wt: 10: Chapter 14. Forward and Backward Use of a Formula

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wt: 9: 5 Head To Tail Arrow Addition
wt: 9: 1 Straight Lines Slope Concept
wt: 9: 26 Formulas for products of sines and cosines
wt: 9: 25 tangent double angle formula Slope connection
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wt: 9: 17D cis formulas for sine cosines and tangent
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wt: 9: 16 Real Numbers Comparison
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wt: 9: 7 Real Numbers as Line Cordinates
wt: 9: 4 A Brief Story of numbers and algebra
wt: 9: 5 Common Divisors 60 45 via Prime
wt: 9: 7 Converting or Changing Units
wt: 9: 4 Fractions with Units
wt: 9: B Fractions and Two Term Ratios
wt: 9: 21 Reciprocals for Fractions and Wholes
wt: 9: 12 Fraction Comparison
wt: 9: 9 Improper Fractions and Mixed Numbers
wt: 9: 5 Equivalent Fractions
wt: 9: 4 Fraction Multiplication
wt: 9: A Associative Law Theorectical Note
wt: 9: 6 Multiplication by Natural Numbers
wt: 9: 12 LCD GCD and LCM using Primes
wt: 9: 2 Prime and Composites less than 16
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wt: 9: 5 Long Division Include Zeroes or not
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wt: 9: Practical Methods Ends and Values for Arithmetic
wt: 9: 015 School and work day counting tables
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wt: 9: 012 Division of Time Intervals by Time Intervals
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wt: 9: 010 Repeated Addition of Time Intervals
wt: 9: 4 Mixing and Changing Units of Time
wt: 9: 3 Units and Lengths of Time
wt: 9: A Related Material in Volume 3
wt: 9: A Related lessons in Volume 3
wt: 9: 1 Two cubic sketching exercises with 1st derivative
wt: 9: 21 Chain Rule for powers
wt: 9: 14 sine and cosine derivatives 2nd step
wt: 9: 11 Quotient rule
wt: 9: 10 Power rule for negative integers
wt: 9: 9 Reciprocal rule
wt: 9: 4 Sum Rule
wt: 9: 2 Motivation for Limit Definition Take 1
wt: 9: 8 Four Animated Examples
wt: 9: 1 Numerical introduction
wt: 9: .H2 Lipshitz Conditions Integration Calculus Reform
wt: 9: G.3 Constant Difference Theorem Proof
wt: 9: E2 Algebraic Properties of Limits
wt: 9: D1 Sets and Sequences GLBs and LGBs
wt: 9: C Triangle Inequalities
wt: 9: A1. Introduction
wt: 9: Chapter 5. Slope Sign Tests
wt: 9: Appendix E. How To Study Mathematics and Why
wt: 9: Chapter 25. Mathematical Induction Examples
wt: 9: Chapter 25. Mathematical Induction Examples
wt: 9: Chapter 17. Pythagorean Theorem Chinese Square Proof
wt: 9: Postscript Unifying Theme A Fourth Skill For Algebra
wt: 9: Chapter 10 Describing and Changing Calculations
wt: 9: Chapter 6 Change of Language
wt: 9: Chapter 5 Islands and Divisions of Knowledge
wt: 9: Chapter 3 Chains of Reason
wt: 9: Postscript A Three Remarks
wt: 9: Chapter 12 Four Phases
wt: 9: Chapter 11 Elementary Instruction
wt: 9: Chapter 7 Two Treatments of Geometry
wt: 9: Chapter 1 Introduction
wt: 9: Postscript D Reflections on Law of the Excluded Middle
wt: 9: Chapter 24 Direct and Indirect Reason
wt: 9: Chapter 21 Occurrence Tables
wt: 9: Chapter 1 Introduction
wt: 9: V Reasons and Motivations for Logic and Mathematics
wt: 9: Phase 5. Calculus Light to Rigourous for 1 to 2 years
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wt: 8: chapitre 04 07 RepetablesEtReproductibles
wt: 8: chapitre 01 00 Introduction
wt: 8: 2 Conductance Resistance Duality02
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wt: 8: E Wire Resistance Calculation03
wt: 8: 27 Graduated Correction and Penalties for Young Offenders
wt: 8: 23 Modularized Skill Development Modularized Rigor Take IV
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wt: 8: Ages 12 to 14 Skills with take home value
wt: 8: 22 Square Root function graphically
wt: 8: 15 Sign analysis of functions
wt: 8: 4 Function notation in and beyond mathematics
wt: 8: 1 Geometric Introduction of Function Notation
wt: 8: 5 Polynomials Long division Nonlinear divisor
wt: 8: 4 Polynomials Long division linear divisor
wt: 8: 1 Polynomials Distributive Law
wt: 8: 12 motivation for term arctan
wt: 8: 9 motivation for name arcsin
wt: 8: 8 arcsin left inverse of sine Graph
wt: 8: 3 Left Inverse of cosine arccos definition
wt: 8: 9 Head to Tail Coordinate View
wt: 8: Vector and Complex Number Applet
wt: 8: 28 Expressing products of sines cosines as sums
wt: 8: 23 sine and cosine of 180 plus 22.5 degrees
wt: 8: 19 Pythagorean Identity For sine and cosine functions
wt: 8: 17E Trig Formulas for dot and cross Products
wt: 8: 16 Right Triangle Complementary Angle Relations
wt: 8: 15 sine cosine Complementary Angle Relations
wt: 8: 14 cosine even and sine and tangent are odd
wt: 8: 12 Graph of tangent function for one period
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wt: 8: 6 sines and cosines for reference angle 30 degrees
wt: 8: 2 Quadrant I reference Angles
wt: 8: Appetizer A Complex Number Applet
wt: 8: 6 Trigonometry Sines of Supplementary Angles
wt: 8: 12 Triangles Similarity More Problems
wt: 8: 4 Similarity Definition with Coordinate
wt: 8: Four Simple Exercises
wt: 8: 8 Mid Point Formula
wt: 8: 6 Intersection of lines by solving linear systems
wt: 8: 4 Equations for lines three forms
wt: 8: 5 Side Angle Side
wt: 8: 2 Correspondence between Triangles
wt: 8: A Signed Number Arithmetic Review
wt: 8: 24 Signed Numbers Arithmmetic Properties
wt: 8: 16 Collinear Horizontal Arrows Vectors
wt: 8: 12 Real Numbers Line Signed Coordinates
wt: 8: 9 Division with Digits after Decimal Point
wt: 8: 7 Arithmetic with Infinite Decimal Expansions
wt: 8: 5 Fractions with Infinite Decimal Expansions
wt: 8: 1 Fractions with Finite Decimal Expansions
wt: 8: 15 Real Number Division
wt: 8: 11 Real Number Addition
wt: 8: 10 Real Number Lengths and Signs
wt: 8: 6 Unsigned Real Numbers
wt: 8: 5 Rational Numbers More
wt: 8: 4 Rational Numbers
wt: 8: More Exercises
wt: 8: Simple Exercises
wt: 8: 7 Cautious or Safe Set Construction
wt: 8: 6 Three Notions of What is a Variable
wt: 8: 12 GCD 2700 288 via Prime
wt: 8: 9 subtracting signed numbers
wt: 8: 7 negative and additive inverse
wt: 8: 5 lengths and signs of numbers
wt: 8: 22 Complex Compound Fractions
wt: 8: 20 Dividing Fractions the Why
wt: 8: 18 Efficient Ways to Multiply
wt: 8: D Remainders Modulo 11 Pair Rule
wt: 8: 13 Subtraction with Additive Inverse
wt: 8: 11 Adding Integers Formulas and Examples
wt: 8: 4 Division with 2 Digit Divsors
wt: 8: Expression Evaluation how to show work
wt: 8: 013 Travel Time Tables
wt: 8: 7 Addition of Time Intervals
wt: 8: 2 Time and Date Matters in School
wt: 8: 1 Intro of Kids To Time Date Skills
wt: 8: 5 Area Under Curve Exercise
wt: 8: 4 Definite Integrals Evaluation Exercises
wt: 8: 4 Second derivative test exercise example
wt: 8: 2 Second derivative test prequel
wt: 8: 6 Continuity at a point
wt: 8: 4 Numerical properties
wt: 8: 3 Decimal insights for limits continuity convergence
wt: 8: 2 Algebraic codification
wt: 8: G.1 Differentiable Functions Rolles Theorem
wt: 8: F.5b Extreme Value Theorem
wt: 8: E1 Error Control Inequalities
wt: 8: D2 Limits of Monotone Sequences
wt: 8: Foreword
wt: 8: Appendix A. Reading Guide For Next Appendices
wt: 8: Chapter 31 Direct and Indirect Reason
wt: 8: Chapter 30 Truth Tables
wt: 8: Chapter 26 What is in chapters 27 to 31
wt: 8: Chapter 23. Notation For Sums
wt: 8: Chapter 13. Second Reading Guide
wt: 8: Chapter 12. Shorthand Usage Guide
wt: 8: Chapter 10 Transition
wt: 8: Chapter 8 Modern Instruction
wt: 8: Chapter 5 Four References
wt: 8: Postscript B More on Story Telling and Reason
wt: 8: Chapter 18 Sense and Knowledge
wt: 8: P Exact Arithmetic With Whole Numbers and Fractions
wt: 8: D. Check work a must with a caution
wt: 8: Ends Values Methods For Skill Development Framework Prequel
wt: 8: Multiple Ways to Improve Mathematics Skill Development
wt: 8: Montreal Basic and Advanced Mathematics Tutoring
wt: 7: why bother
wt: 7: which way to go
wt: 7: key notes and themes
wt: 7: Postscript 2007 01 10
wt: 7: three difficulties
wt: 7: 02 21 words for teachers
wt: 7: chapitre 12 00 les iles et division
wt: 7: chapitre 04 09 Regles accidentelles
wt: 7: chapitre 04 08 Limitations et benefices
wt: 7: chapitre 04 06 engagements
wt: 7: chapitre 04 02 Deuxieme enigme
wt: 7: chapitre 04 00 Les regles d implication
wt: 7: Trois Notions qui menent a algebre
wt: 7: F Wire Resistance Calculation04
wt: 7: D Wire Resistance Calculation02
wt: 7: C Wire Resistance Calculation01
wt: 7: B Wire Resistance Qualitative02
wt: 7: 25 Mathematics Education Leaving A Good Impression
wt: 7: 23 Modularized Skill Development Modularized Rigor
wt: 7: 21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
wt: 7: 20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
wt: 7: 13 Addition and Addition Tables
wt: 7: 5 Patience Please for Yourself and Your Charges
wt: 7: Ages 4 plus to 5 plus
wt: 7: 21 Graphs of functions given by Horizontal Line Method
wt: 7: 8 Set view of relations and functions
wt: 7: 6 Set Existence Formation and Notation
wt: 7: 5 Function notation for geometric transformations
wt: 7: Introduction Reading Guide
wt: 7: 2 Column Multiplication Method
wt: 7: 7 arcsin left inverse of sine Definition
wt: 7: 4 possible motivation for term arccos
wt: 7: 15 Dot and Cross Product
wt: 7: 13 Velocity Vectors in Physics
wt: 7: 8 Parallel Vectors
wt: 7: 1 Unsigned Coordinates
wt: 7: 9 Graphs of sine and cosine over one period
wt: 7: 8 period of tangent function
wt: 7: 3 sines and cosines for reference angle 90 degrees
wt: 7: Right Triangle and Unit Circle Trigonometry
wt: 7: 21 Logarithms Powers and Exponentials
wt: 7: 17 Cube Roots of unity
wt: 7: 16 References and Originality Question
wt: 7: 3 Addition Properties
wt: 7: 2 Complex Numbers made easier we hope
wt: 7: 8 Triangles Cascade Problem Solving
wt: 7: 4 Trigonometric Ratios For Two Special Triangles
wt: 7: 3 Trigonometric Ratios sine and cosine
wt: 7: 1 Angle Measurement with Degrees
wt: 7: Why Trigonometry the whyslopes view
wt: 7: Right Triangle and Unit Circle Trigonometry
wt: 7: 2 Similarity By Design
wt: 7: 4 Side Side Side
wt: 7: 19 Signed Multiples of Vectors
wt: 7: 6 Infinite Decimals Ending in 9 repeating
wt: 7: 9 Coordinates for Regions in Space
wt: 7: 3 Fractions
wt: 7: 9 Sets in Probability and Statistics
wt: 7: 2 What is a Variable
wt: 7: arithmetic videos Real Player Format
wt: 7: 6 GCD from Prime
wt: 7: 8 multiplying signed numbers
wt: 7: 6 adding signed numbers
wt: 7: 4 signed coordinates for regions in space
wt: 7: D Three Term Ratios
wt: 7: 19 Dividing Fractions How TO
wt: 7: 10 Integer Multiplication Formulas
wt: 7: 3 Adding Movements with same direction
wt: 7: 2 Integers Multiplies of a Unit Moverment
wt: 7: Exact Arithmetic Wholes and Fractions
wt: 7: The 12 Times Table Visually
wt: 7: 6 How long is a million seconds
wt: 7: 3 Two Chain Rule Method Exercises
wt: 7: 3 Second derivative test
wt: 7: 11 Limits at infinity Three Examples
wt: 7: 10 Three one sided limits with infinite values
wt: 7: 9 Limits Continuity and Composition
wt: 7: G.5 Motions With Bounded Velocities
wt: 7: F.2 Closed Range Theorem
wt: 7: B1 Pigeon Hole Principles from combinatorics
wt: 7: Appendix D. What to do in School and Why
wt: 7: Chapter 27 Shorthand Symbols as Pronouns
wt: 7: Chapter 22. Geometric Sums and Sequences
wt: 7: Chapter 20. Degrees and Radians
wt: 7: Chapter 18. Rules for Algebra
wt: 7: Chapter 15. Solving Linear Equations
wt: 7: Postscript What is a Variable
wt: 7: Chapter 7 Prep for Calculus Arithmetic Exercises
wt: 7: Chapter 4 Longer Chains of Reason
wt: 7: Chapter 1 Introduction to Chapters 2 to 6
wt: 7: Chapter 9 The Two Ends
wt: 7: Postscript A Story Telling
wt: 7: Chapter 15 Objective Processes
wt: 7: Chapter 10 Responsibility
wt: 7: Chapter 5 Deception
wt: 7: Chapter 2 Skill Development
wt: 7: Three Remarks
wt: 7: R Why Learn Mathematics Skills
wt: 7: O On Learning Mathematics and Science
wt: 7: N Mathematics Prepare for College Studies
wt: 7: I. Logic and language skills
wt: 7: F. The student teacher tutor feedback loop
wt: 7: C. Domino effect of being careful
wt: 7: Helping the Blind in Logic and Mathematics
wt: 6: website reviews
wt: 6: site origins
wt: 6: chapitre 05 00 Deception
wt: 6: chapitre 04 01 Premiere enigme
wt: 6: problemes algebre et arithmetique
wt: 6: deux definitions pour variable
wt: 6: 3 Like resistors in parallel
wt: 6: 2 Unlike resistors in parallel01
wt: 6: 6 Discipline Who is in Charge Conserving Authority
wt: 6: Ages 12 to 14 Arithmetic
wt: 6: Ages 10 to 12 Arithmetic
wt: 6: 23 Inverse Functions
wt: 6: 20 Interchanging coordinates a reflection
wt: 6: 19 Horizontal line rule and method
wt: 6: 18 Vertical Line Rule and Method
wt: 6: 16 Increasing or decreasing on intervals
wt: 6: 13 From one to one to many to one
wt: 6: 12 Function Domain Recognition Exercises
wt: 6: 8 Notes for instructors or tutors
wt: 6: 2 cosine function more properties
wt: 6: 1 cosine function properties
wt: 6: 6 Vectors with Coordinates
wt: 6: 2 Signed Coordinates
wt: 6: 17G Pythagorean Theorem Converse
wt: 6: 17F Law of cosines
wt: 6: 7 period of sine and cosine
wt: 6: 5 sines and cosines for reference angle 60 degrees
wt: 6: 4 sines and cosines for reference angle 45 degrees
wt: 6: 1 Unit Points Reflections Rotations
wt: 6: Unit Circle Development of Trigonometry
wt: 6: 20 N th Roots of Complex Numbers
wt: 6: 19 N th Roots of Unity
wt: 6: 18 Sixth Roots of Unity
wt: 6: 15 Pythagorean Theorem Converse
wt: 6: 14 Law of cosines
wt: 6: 8 Unit Circle Development of Trigonometry
wt: 6: 6 Field Properties of Complex Number
wt: 6: 4 Multiplication Properties
wt: 6: 7 Trignometric Ratios Unit Circle
wt: 6: 12 Links Lessons elsewhere
wt: 6: 5 Product Builder Notation
wt: 6: 4 Subset Builder Notation
wt: 6: 3 Counting with Sets etc
wt: 6: 3 Adding Words To Arithmetic
wt: 6: 10 dividing signed numbers
wt: 6: 21 Working With Signs
wt: 6: 8 Multiplication by Signed Numbers Integers
wt: 6: 5 Conversion Arithmetic
wt: 6: 1 Chain Rule in Reverse Integration Method
wt: 6: F.4 Finite Covering Theorem
wt: 6: index
wt: 6: Appendix C. How to Read
wt: 6: Chapter 28 Occurrence Tables
wt: 6: Chapter 24. Personal Investment and Pension EGS
wt: 6: Chapter 21. Third Reading Guide
wt: 6: Chapter 19. Functions and Sets
wt: 6: Chapter 11. Why Shorthand
wt: 6: Chapter 8 Three Skills For Algebra
wt: 6: Solutions For Arithmetic Exercises
wt: 6: Foreword
wt: 6: Foreword
wt: 6: S Adding words to algebra
wt: 6: Q How Logic and Proofs extend Show Work Practices
wt: 6: L Skills with take home value
wt: 6: N Improving Marks on Tests and Finals
wt: 6: H Jigsaw puzzles and problem solving
wt: 6: Implementation Notes
wt: 5: logique deux enigme
wt: 5: B Electromotive force conventional current01
wt: 5: 19 Extending the Oral Dimension of Mathematics
wt: 5: 17 Math Booklets for children and young teenagers
wt: 5: 16 Secondary Mathematics Tips
wt: 5: 14 Multiplication and Times Tables
wt: 5: 12 Goals and Objectives For Mathematics
wt: 5: 11 Help and Defend Your Child or Teens Education
wt: 5: 10 Ends values for work study instruction
wt: 5: 3 Preparing for Science Studies
wt: 5: Ages 12 to 14 Geometry
wt: 5: Ages 10 to 12 Geometry
wt: 5: Ages 9 to 10
wt: 5: Ages 8 to 9
wt: 5: Ages 7 to 8
wt: 5: Ages 6 to 7
wt: 5: 26 Function definitions done and coming
wt: 5: 24 Monotoncity Injectivity and Inverse Functions
wt: 5: 10 Interval Notation
wt: 5: 7 Functions with finite domains
wt: 5: 11 Component Method
wt: 5: About Folder Contents
wt: 5: 2 Integers
wt: 5: 10 Set View of Wordy Extensions To Arithmetic
wt: 5: 8 Sets of Numbers
wt: 5: 2 Venn Diagrams
wt: 5: 1 Three Skills For Algebra
wt: 5: About Folder Contents
wt: 5: B Integer Long Division Multiple Choices
wt: 5: 12 Adding Integers More Examples
wt: 5: 7 Multiplication by Signs
wt: 5: 5 Zero Movement and Additive Inverses
wt: 5: 1 Integers as Coordinates
wt: 5: About folder contents
wt: 5: 2 Indefinite Integrals Exercises
wt: 5: Appendix B. How To Learn
wt: 5: Chapter 16. Painless Theorem Proving
wt: 5: 1 Links to Online Resources Elsewhere Take 1
wt: 5: M Words to extend arithmetic
wt: 5: H more Routine to non routine problem solving
wt: 5: G. Written work formats for developing and showing skill
wt: 5: A. Skill has to be seen to believed
wt: 5: How to Build Skills and Confidence
wt: 5: Which Way To Go
wt: 4: liens
wt: 4: 3 Energy Power Heat08
wt: 4: C Energy Power03
wt: 4: F Unlike Resistors in Series
wt: 4: E Kirchoffs Second Law
wt: 4: D Kirchoff First Law
wt: 4: C Electromotive force conventional current02
wt: 4: A Circuit Elements
wt: 4: 24 Standards For Skill Develoment Take II
wt: 4: 22 Student Centered Highschool Mathematics
wt: 4: 18 Primary School Mathematics
wt: 4: 9 Streaming by Student Cooperation
wt: 4: 8 The Effect of Negative Remarks
wt: 4: 4 Learning Takes Time and Effort
wt: 4: 14 Surjections Injections Bijections
wt: 4: 9 Set theory term relation possible origins
wt: 4: 7 Links Lessons Elsewhere
wt: 4: 6 Power Set Notation
wt: 4: C Divisibility by 11 Integer Recognition Method
wt: 4: 9 Multiplying Integers
wt: 4: 4 Adding Movements wiht opposite directions
wt: 4: The 20 Times Table
wt: 4: Postscript More on Better Performance
wt: 4: Postscript For Better Performance
wt: 4: J. More on written work and showing skill
wt: 4: E. When and how to correct errors
wt: 4: B. Domino effect of errors
wt: 3: problemes responses
wt: 3: 4 Energy Power Heat09
wt: 3: 2 Energy Power Heat07
wt: 3: 1 Energy Power Heat06
wt: 3: A Energy Power01
wt: 3: 1 Like resistors in series
wt: 3: H Series Circuit02
wt: 3: G Series Circuit01
wt: 3: Home Tutoring and Home Schooling
wt: 3: 24 Standards For Skill Develoment
wt: 3: 15 Counting For Parents
wt: 3: 7 Student Motivation
wt: 3: 2 Reading and Writing Skills
wt: 3: 1 Finite Sets
wt: 3: Foreword
wt: 3: Road Safety Questions
wt: 2: E Energy Power05
wt: 2: D Energy Power04
wt: 2: B Energy Power02
wt: 2: 1 Speaking Skills
wt: 20: 13 Pythagorean spatial distance formulas
wt: 20: 3 Gaussian Elimination 3 unknowns first example
wt: 19: 8 quadratics backward use of various formulas
wt: 19: 3 GE III Equation Addition and Multiplication
wt: 18: 5 Gaussian Elimination for 3 unknowns 2nd example
wt: 18: 3 Harder Cases Convert to Compare and Subtract
wt: 17: C LAMP Introduction Culture in Mathematics Education
wt: 17: 2 Radian Measure Numerical Value of one degree
wt: 17: 10 Pythagorean plane distance formula
wt: 17: 3 Solving triangular system example
wt: 17: 6 Pythagorean Hypotenuse Calculation Example
wt: 17: 3 Triangle Area Formula Example
wt: 17: 2 Another Rectangle Area Formula Example
wt: 17: 1 Comparison and Subtraction Easy Direct Cases
wt: 17: 3 More on Groups of 3 Multi Digit Place Value
wt: 16: B LAMP Introduction Curriculum Development Standards
wt: 16: 3 Natural Logarithms and Exponentials Basic Properties
wt: 16: Parallel Lines and Parallel Transversals
wt: 16: Parallel Lines and Alternating Corresponding Angles
wt: 16: 5 Cartesian Addition and Translation
wt: 16: 3 Rectangular Coordinates Review
wt: 16: 3 Lengths and Areas on Maps and Plans
wt: 16: 2 More and Less Than for Counts and Measures
wt: 16: 4 Solving a triangular system exercise
wt: 16: 5 Algebraic Solutions Introduction
wt: 16: 8 Compound Interest Formula Evaluation
wt: 16: 3 Comparison of Negative Numbers
wt: 16: 1 Squares and Square Roots Introduction
wt: 16: 8 Subtraction with Units of Measure
wt: 16: 6. Counting and adding units and mixed units
wt: 16: 3. How to add with decimals A sans conversions
wt: 16: 9 Place Value Review Decimal form of Avogrados number included
wt: 16: 7 More on Groups of 3 Place Value in Mixed Decimal Fractions
wt: 16: 6 Groups of 3 Place Value in Mixed Decimal Fractions
wt: 16: 5 More on Groups of 3 Place Value in Decimal Fractions
wt: 16: 4 Groups of 3 Place Value in Decimal Fractions
wt: 16: Example 1. Area Between x and x squared
wt: 16: Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
wt: 15: Ramblings Introduction Algebra Essay
wt: 15: 6 quadratics numerical approach
wt: 15: 5 Natural Logarithm Calculator Exercises
wt: 15: 14 Why Scalar Multiplication Distributes Physical Argument
wt: 15: Proportionality of Line Segments From Parallel Transversals
wt: 15: 3 Straight Lines Slope as Tangent of Inclination Angle
wt: 15: 9 Pythagorean Theorem Chinese Square Proof
wt: 15: 6 Polar Multiplication and Rotation
wt: 15: PS F Scalar Multiplication Distributes over Addition
wt: 15: 4 Comparison of Negative Numbers
wt: 15: 3 Geometric Formulas and Function Notation
wt: 15: 2 Computation Rules Evaluation
wt: 15: 1 GE Substitution four examples
wt: 15: 6 Algebraic Solution Example
wt: 15: 4 Four Examples Fractional Coefficients
wt: 15: 3 Four Examples
wt: 15: 1 Proper Equal Sign Usage
wt: 15: 7 Compound Interest Formula Introduction
wt: 15: 4 Circle Area Formula Example
wt: 15: 1 More and Less Than for Counts and Measures
wt: 15: A Decimals Modular and Remainder Arithmetic
wt: 15: 7 Calculator Usage Notes and Cautions
wt: 15: Long Division forwards and backwards Example 3
wt: 15: A Elementary Basis for Multiplication Methods
wt: 15: Video Decimal Multiplication Geometric View Example 2
wt: 15: Appendix 1 Decimals Comparison Method Take II
wt: 15: Subtraction Another Video Lesson
wt: 15: 7 Subtraction for Decimal Fractions with Exercises
wt: 15: 2 Subtraction Easy Case Examples
wt: 15: Appendix 1 Counting Revisited 15 minute video
wt: 15: 7 Adding decimal fractions using decimal point
wt: 15: 11 Place Value SI Standard International way
wt: 15: 2 Groups of Three Place Value for Multidigit Decimals
wt: 15: Example 1 volume of a pyramid
wt: 15: Chapter 19. Exponentials and Natural Logarithms
wt: 15: Chapter 15. Algebraic Evaluation of Limits
wt: 14: sign monoticity analysis example 3
wt: 14: A Quadratics Summary
wt: 14: 9 quadratics physical and further context
wt: 14: 7 quadratic formulla derivation
wt: 14: 4 quadratics difference of two squares
wt: 14: 9 Summary Degrees to Radians and back
wt: 14: 8 Radian Measures of Common Angles
wt: 14: 7 Radian Measures in special Triangles
wt: 14: 3 Circle Arclengh Proportional to Central Angle
wt: 14: Construction Methods and Criteria for Isometric and Similar Triangles
wt: 14: 14 Straight Lines Equations General Case
wt: 14: 34 sines and cosines of 2A 3A 4A 5A
wt: 14: 33 sines and cosines of 2A 3A 4A 5A
wt: 14: 13 Navigation Location from Angles to 2 Landmarks
wt: 14: 1 Cartesian Coordinates sans signs
wt: 14: 8 More Use of Maps Not Drawn to Scale
wt: 14: 4 Angles on Maps Plans drawn to scale
wt: 14: B Decimal Comparison and Subtraction
wt: 14: 4 Commutative Law Groups Counting Form
wt: 14: 3 Inequalities Algebraically
wt: 14: 1 Decimals Modular and Remainder Arithmetic
wt: 14: 9 Circle Area and Perimeter Formula Backwards Forwards
wt: 14: 4 Rectangle Area and Like Formulas Backwards
wt: 14: 6 Equations and Systems Equivalent or Implied
wt: 14: 4 Subtraction and Division Axioms
wt: 14: 2 Addition and Multiplication Axioms
wt: 14: 1 Equivalent Computation Rules
wt: 14: 3 More and Less Than with Unlike Signs
wt: 14: 1 Real Numbers Comparison
wt: 14: 1 Formulas Dependence and Function Notation
wt: 14: 4 GE III Animated Examples
wt: 14: 2 Essentially one exercises three with solution
wt: 14: 3 Two Examples
wt: 14: 13 Naming Identifying Formulas with Words
wt: 14: 5 Box Volume Formula Example
wt: 14: 3 Properties of Square Roots with example
wt: 14: 15 GCD of 650 225 via Euclid Alg LCM via Product Rule
wt: 14: 9 GCD of 360 110 via Primes and Euclid Algorithm
wt: 14: 8 Numerals Fractionals Quantals Take II
wt: 14: 19 Remainder Arithmetic Rule of 9 for checking sums III
wt: 14: 13 Remainder Arithmetic Modulo 5 Example
wt: 14: 10 video Prime Factorization upto 23 squared
wt: 14: 5 Prime Factorization and a Square Rule
wt: 14: Long Division forwards and backwards Example 2
wt: 14: Long Division forwards and backwards Example 1
wt: 14: Video Decimal Multiplication Geometric View Example 2
wt: 14: Appendix 2 Three Decimal Subtraction Methods
wt: 14: Subtraction with J Conversions Example
wt: 14: 6 Subtraction with Conversion Example with Exercises
wt: 14: 8 What skills and work habits to require
wt: 14: Example 2 volume of a cone
wt: 14: Area Between Crossing Curves Lesson Take 2
wt: 14: Area Between Crossing Curves Lesson Take 1
wt: 14: Example 4 with x function of y
wt: 14: Area Between Curves Lesson Take 2
wt: 14: Area Between Curves Lesson Take 1
wt: 14: 33 Chain Rule Real Player video examples
wt: 14: Chapter 14 Limits and Continuity with and sans Decimals
wt: 14: Chapter 3. Slope Sign Analysis
wt: 14: Chapter 22 Contrapositive and Vacuously True Implications
wt: 14: Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
wt: 13: Appendix 1 primary and preschool mathematic
wt: 13: I LAMP Introduction Study Habits
wt: 13: H LAMP Introduction Instructional Concepts
wt: 13: F LAMP Introduction Prerequisites
wt: 13: E LAMP Introduction Modern Mathematics
wt: 13: Skills Chapter 3 Algebra
wt: 13: 5 quadratics completing the square
wt: 13: 3 quadratics factoring by inspection
wt: 13: 2 quadratics graphing in general
wt: 13: 1 quadratics graphing exercises
wt: 13: 4 Circle Sector Area proportional to Central Angle
wt: 13: 1 Degrees and Radians Introduction
wt: 13: 2 Graphing y=Af(x) Vertical Scaling
wt: 13: Parallel Lines and Interior Angles
wt: 13: 13 Straight Lines Finding Equations from 2 points
wt: 13: 12 Straight Lines Graphing mx plus b
wt: 13: 10 Straight Lines through Origin Equations More
wt: 13: 9 Straight Lines through Origin Equations
wt: 13: 7 Tangent Function is odd on this domain
wt: 13: 6 Tangent Function Inclination Angle Take 2
wt: 13: 2 Straight Lines Slopes As Rise Over Run
wt: 13: 35 sines and cosines of 2A 3A 4A 5A
wt: 13: 10 Similarity of Triangles Equivalent of Two Criteria
wt: 13: 9 Similarity of Triangles Usual Criteria
wt: 13: 12 Spatial Coordinates
wt: 13: 11 Triangle Inequality
wt: 13: 8 Distance Between Points on a Line
wt: 13: 4 Polar Coordinates to and from
wt: 13: 2 Cartesian Coordinates with signs
wt: 13: 13 Angle Side Angle Failure
wt: 13: 3 Isometry of Triangles Congruence
wt: 13: A Measurement with Ruler Proper Use
wt: 13: 5 Drawing to Scale Avoids Angle Distortions
wt: 13: 3 Multiplicative Counting Skills Principles
wt: 13: 5 Areas of Rectangles Revisited
wt: 13: 5 Triangle Area Formula Backwards
wt: 13: 5 Equality in Algebra
wt: 13: 5 Greater More Less Than Signs in General
wt: 13: 2 GE II Comparison
wt: 13: 1 Essentially One Unknown
wt: 13: 10 Volume of Pyramid
wt: 13: 2 Least Common Multiple LCM intro via list method
wt: 13: 5 Counting with Tables Trees Product Rule Take II
wt: 13: C Equality for Fractions and Two Term Ratios and Fractions
wt: 13: 7 Numerals Fractionals Quantals
wt: 13: 3 Unit fraction of a fraction
wt: 13: 20 Remainder Arithmetic Rule of 9 for checking sums IV
wt: 13: 18 Remainder Arithmetic Rule of 9 for checking sums II
wt: 13: 17 Remainder Arithmetic Rule of 9 for checking sums I
wt: 13: 15 Remainder Arithmetic Modulo 9 Example
wt: 13: 14 Remainder Arithmetic Modulo 9 Example
wt: 13: 12 Remainder Arithmetic Modulo 10 Example
wt: 13: 11 Remainder Arithmetic Long Division by 5 Quickly more
wt: 13: 10 Remainder Arithmetic Long Division by 5 Quickly
wt: 13: 9 Remainder Arithmetic Divisibility by 5
wt: 13: 8 Remainder Arithmetic Morulo 5 Examples II
wt: 13: 7 Remainder Arithmetic Modulo 5 Examples I
wt: 13: 15 video Factors of 20 using Prime Factorization
wt: 13: 13 video Factors of 24 using prime
wt: 13: 9 video Prime Factorization upto 19 squared
wt: 13: 6 Sieve of Eratosthenes and Square Rule
wt: 13: C Counting Areas with Powers of Ten
wt: 13: 6 Multiplication Commutes Order Not Important
wt: 13: 5 Decimal Fraction Multiplication
wt: 13: Video Power Notation in Decimal Expansion
wt: 13: 9 22 Minute Subtraction Review Video
wt: 13: 5 A Tip for Efficent Subtraction
wt: 13: 4 Subtraction with Conversions Borrows and Letter J
wt: 13: 5. How to add decimals C. Examples
wt: 13: 2 Decimal Counting Practices
wt: 13: 1. Explaining Addition Table
wt: 13: Example 3
wt: 13: A Chain Rule Real Player video examples
wt: 13: 38 Formulas and derivatives for powers and roots
wt: 13: 28 Chain Rule Preparation for a Proof
wt: 13: 27 Chain Rule sinusoidal outer inner functions EGS
wt: 13: 25 Chain Rule Animated Examples Continued
wt: 13: Chapter 18. Slopes Areas Integration
wt: 13: Chapter 17. Area Approximation
wt: 13: Chapter 13. Acceleration
wt: 13: Chapter 9 About First Courses in Calculus
wt: 13: Chapter 14. Forward and Backward Use of a Formula
wt: 13: Chapter 16 Origins and Limitations of Rules and Patterns
wt: 13: Chapter 14 Deductive and Empirical Views of Mathematics
wt: 13: Chapter 4 Implication Rules Forwards and Backwards
wt: 12: K LAMP Musings Science Education
wt: 12: 3 Euclidean Geometry Leanly
wt: 12: teaching tutoring algebraic reason
wt: 12: need for a mixed mathematics curriculum
wt: 12: Leaner mathematics curriculum
wt: 12: chapitre 07 00 Des chaines plus longues de la raison
wt: 12: chapitre 04 10 Etapes pour une meilleur raison
wt: 12: Quebec cahiers d apprentissage en mathematiques pour 4 16
wt: 12: sign monoticity analysis example 4
wt: 12: sign monoticity analysis example 2
wt: 12: sign monoticity analysis example 1
wt: 12: 10 quadratic exercises
wt: 12: Quadratics in 10 steps
wt: 12: 8 Formulas for Fractional Exponents with Logarithms
wt: 12: 2 Square Root Simplification a prequel
wt: 12: 1 Calculator Starter Exercises
wt: 12: 6 Polynomial Operations and Equivalent Computation Rules
wt: 12: 6 Radian Measure to Degrees
wt: 12: 5 Degrees to Radian Measure
wt: 12: 7 Coordinate Addition and Scalar Multiplication
wt: 12: 3 graphing y=f(x c) plus K
wt: 12: Triangle Angles Sum To 180 Degrees
wt: 12: SAS Method For Isometric Or Proportional Triangle Construction
wt: 12: Analytic View of Triangle Construction or Line Instersection More
wt: 12: 8 Straight Lines Equation for vertical
wt: 12: 18 sum of sinusoidal waves as a single wave
wt: 12: 5 Similarity of Circles Squares and Rectangles
wt: 12: 1 Numerical view of lines and their equations
wt: 12: 7 Complex Numbers Appetizer
wt: 12: PS H Distributive Law For Complex Numbers
wt: 12: PS G Rotation Distributes over Addition
wt: 12: PS E Multiplication with Polar Coordinates
wt: 12: PS D Addition with Cartesian Coordinates
wt: 12: PS B Parallelogram Construction Methods
wt: 12: 6 Ruler and compass Angle Bisection
wt: 12: 6 Figuring with Maps Not to Scale
wt: 12: 2 Measuring Area Directly
wt: 12: 8 Division and Mulplication of Compound Fractions
wt: 12: A Decimal Addition Columm Methods
wt: 12: 8 Column Multiplication Methods in General
wt: 12: 7 Decimals Multiplication Methods Examples
wt: 12: 6 Column Methods for Decimal Multiplication
wt: 12: 5 Distributive Law for Whole Numbers
wt: 12: 4 Fraction Operations Axiomatic Development
wt: 12: 5 Proportionality in Equivalent Fractions
wt: 12: 4 Rates Ratios and Proporitionality
wt: 12: 3 Proportionality Examples
wt: 12: 8 Pythagorean Relation Forwards Backwards
wt: 12: 3 Linear Equation Literal Solution More
wt: 12: 3 Product Axioms Two Forms
wt: 12: 2 Three Examples
wt: 12: 10 One Example
wt: 12: 9 Three Examples
wt: 12: 8 One Example
wt: 12: 7 Two Examples
wt: 12: 6 Three Examples
wt: 12: 5 Three Examples
wt: 12: 4 Two Examples
wt: 12: 2 Three Examples
wt: 12: Using Letters for Physical Quantities
wt: 12: Formula Usage Show Work Format
wt: 12: 11 Volume of Sphere
wt: 12: 9 Volume of Cone
wt: 12: 1 Written work formats for developing and showing skill
wt: 12: 4 Greater More Less Than Signs in General
wt: 12: 2 More and Less Than with Unlike Signs
wt: 12: 14 GCD of 650 110 via Primes LCM via Product Rule
wt: 12: 1 Least Common Multiples LCM Introduction
wt: 12: 4 Counting with Trees Product Rule Take I
wt: 12: 3 Counting with Tables and Trees II
wt: 12: 5 Reciprocals and Division for Fractions with Units
wt: 12: 3 Multiplying Units and Numbers
wt: 12: 1 Addition and Subtraction with Units
wt: 12: 16 Addition Subtraction Comparision Compared
wt: 12: 15 Adding and Subtracting with Unlike Denominators
wt: 12: 13 Fraction Comparison Algebraic View
wt: 12: 10 Simplification of Fractions and Mixed Numerals
wt: 12: 6 Multiplication Algebraically Take II
wt: 12: 23 Remainder Arithmetic Modulo 2
wt: 12: 22 Remainder Arithmetic Modulo 3 more
wt: 12: 21 Remainder Arithmetic Modulo 3
wt: 12: 16 Remainder Arithmetic Modulo 9 Example 2
wt: 12: 6 Remainder Arithmetic Modulo 5 Propertie
wt: 12: 4 Remainder Arithmetic Modulo 10 in general
wt: 12: 3 Remainder Arithmetic Modulos 10 more still
wt: 12: 20 Uniqueness of Prime Factorization
wt: 12: 19 video Prime Factorization Unique
wt: 12: 18 video Count Factors given Prime Factorization
wt: 12: 4 video Prime Factorization Introduction
wt: 12: 3 video Primes and Composites from 9 times table
wt: 12: 1 video how Products are bigger than factor
wt: 12: Long Division Backward
wt: 12: 3 Division Single Digit Divisor Example
wt: 12: D Decimal Multiplication Methods Derived
wt: 12: 3 More One Digit Multipliers
wt: 12: 4. How to add with decimals B with conversions
wt: 12: 10 Names for Big Numbers and Powers of Ten Expansion
wt: 12: 9 Comparison and Subtraction of Time Intervals
wt: 12: Volume of Solid by Cross Sections Lesson
wt: 12: Example 2
wt: 12: Example 1
wt: 12: 36 Cube root derivative animated
wt: 12: 34 Derivative of exponential function
wt: 12: 31 Derivatives of inverse functions
wt: 12: 30Chain Rule A Proof
wt: 12: 26 Chain Rule Recognising outer inner functions
wt: 12: 24 Chain Rule Animated Examples
wt: 12: 17 Derivatives of quotients of sine and cosine
wt: 12: 16 Derivatives of reciprocals of sine and cosine
wt: 12: 1 Fall 1983 Why Slopes Appetizer
wt: 12: 7 Evaluation by immediate or delayed substitution
wt: 12: Postscript Pythagorean Theorem yet another proof
wt: 12: Chapter 24 Logarithms Powers and Exponentials
wt: 12: Chapter 12. Units and Slopes
wt: 12: Chapter 10 Slopes and Units
wt: 12: Chapter 6. Slopes and Vertical Shifts
wt: 12: Chapter 4. More Slope Sign Analysis
wt: 12: Chapter 2. Slopes and Ski Trails
wt: 12: Fall 1983 Calculus Appetizer
wt: 12: Chapter 6 Rule Based Reason in Mathematics
wt: 12: Chapter 3 Algebra Difficulties
wt: 12: Chapter 2 For and Against Mathematics
wt: 12: Chapter 13 Geometric Thinking Euclidean Model For Reason
wt: 12: Chapter 12 Islands and Divisions of Knowledge
wt: 12: Chapter 8 Change of Language
wt: 12: Chapter 3 What is in chapters 4 to 8
wt: 12: Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
wt: 11: Appendix 2 primary school Arithmetic 01
wt: 11: J LAMP Introduction Extrinsic Origins
wt: 11: G LAMP Introduction Problem Solving Skills
wt: 11: A Introduction Objectives
wt: 11: Ramblings Extrinsic numbers theory
wt: 11: Skills Chapter 0 Introduction
wt: 11: 7 logic review and decimals an odd combination
wt: 11: 5 logarithms and exponentials etc
wt: 11: Math Ed if it must be short make it lean effective
wt: 11: Applied Maths Program14092009 POMME variant
wt: 11: Mathematics Education Professors
wt: 11: grouping students according to ability
wt: 11: what should be learnt and When
wt: 11: Education Reform Inconsistencies
wt: 11: mathematics curriculum shifts
wt: 11: three goals for Mathematics Education
wt: 11: 04 29 New Mathematics Curriculum
wt: 11: standards for course material
wt: 11: Education in mathematics science and technology
wt: 11: education an empirical art
wt: 11: Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
wt: 11: Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
wt: 11: 25 Absolute Value greatest integer and saw tooth functions
wt: 11: 9 Formulas for Real Exponents with Logarithms
wt: 11: 7 Formulas for Roots with Logarithms Derivation
wt: 11: 6 Formulas for Even and Odd Roots with Logarithms
wt: 11: 4 Resultant of a Sum of Movements
wt: 11: 4 graphing y=Asin(x c)
wt: 11: 1 graphing y=f(x a)
wt: 11: Straight Lines ASA Intersection Study More
wt: 11: Straight Lines ASA Intersection Study
wt: 11: D Straight Lines Slope from Coordinates Examples
wt: 11: A Straight Line Slope Scaling Properties
wt: 11: 11 Straight Lines Graphing y=mx
wt: 11: 5 Tangent Function Graph
wt: 11: 30 unit circle calculation of six trigonometric functions
wt: 11: 29 secant cosecant and cotangent for acute angles
wt: 11: 5 An Easy Proof of the Distributive Law
wt: 11: 7 Translations Rotations Reflections Dilatations
wt: 11: 11 A Partial Summary
wt: 11: 3 Slope product for perpendicular lines
wt: 11: PS C Similarity Use Recognize it in Trigonometry
wt: 11: 16 Angles Subtended By Chords and Diameters
wt: 11: 15 Triangle Angle Sum is 180 degrees
wt: 11: 14 Parallel Lines Postulate
wt: 11: 9 Construction of a right bisector
wt: 11: A Modular and Remainder Arithmetic
wt: 11: 25 Mid way Convergence to Axiomatic Approach
wt: 11: 23 Distributive Law Two Derivations
wt: 11: 15 Head to Tails in place Addition Associative
wt: 11: 14 Vector Head to Tail Sums and Resultants
wt: 11: 3 Location of Point in Decimal Multiplication
wt: 11: C Three Decimal Subtraction Methods
wt: 11: 2 Combing Counts Addition Skills and Principles
wt: 11: 1 The Counting Origins of Numbers
wt: 11: 2 Fraction Operations Physical Development
wt: 11: 1 What is Proportionality
wt: 11: 7 Pythagorean Theorem Chinese Square Proof
wt: 11: 6 Compound Interest Forward and Backwards
wt: 11: 2 Linear Equation Literal Solution
wt: 11: 5 Independent versus Dependent Variables
wt: 11: 4 Changing Letters
wt: 11: Skill Development Notes
wt: 11: 12 Cone Cylinder Sphere Lesson Idea
wt: 11: 5 Square Roots with primes more still
wt: 11: 4 Square Roots with primes more
wt: 11: 2 Square Roots with Prime
wt: 11: 17 GCD LCM of 85 and 60 via Prime
wt: 11: LCM 60 45 Avoid List Method Use Prime
wt: 11: 2 Counting with Tables and Trees I
wt: 11: 1 Counting and Counting Methods I
wt: 11: 3 signed coordinates for maps and planes
wt: 11: 6 Simplification of Fractions with Units
wt: 11: 2 Equality and Units
wt: 11: A Similarities between Fractions and Two Term Ratios
wt: 11: 17 Efficient Ways to Add and Subtract
wt: 11: 14 Adding and Subtracting with Like Denominators
wt: 11: 1 What is a fraction Take II
wt: 11: 27 Divisibility by 2 3 6 5 9 10 Example
wt: 11: 26 Divisibility by 2 3 5 Example
wt: 11: 25 Divisibility Tests for 2 3 5 9 10 Example
wt: 11: 5 Remainder Arithmetic Modulo 5
wt: 11: 2 Remainder Arithmetic Modulo 10 more
wt: 11: 1 Remainder Arithmetic Modulo 10
wt: 11: 17 Identify and Count Factors using Primes
wt: 11: 16 video Factors of 980 using prime
wt: 11: 14 video Factors of 24 Take II
wt: 11: 11 Efficient Square Rule Use
wt: 11: 8 video Prime Factorization upto 19
wt: 11: Long Division Backwards more
wt: 11: Division with Counts and Length
wt: 11: 7 Long Divison Mistake Catching
wt: 11: 6 Why Decimal Long Division Methods Works Take I
wt: 11: 4 Two and Three Digit Multipliers
wt: 11: 1 Why 3 times 5 gives 15
wt: 11: 1 Place Value in Three Digit Whole Numbers
wt: 11: 8 Addition of Time Intervals via subtotaling
wt: 11: Summary
wt: 11: 29 Chain Rule Optional Reading
wt: 11: 23 Chain Rule in general
wt: 11: 22 Chain Rule for polynomials
wt: 11: 19 Chain Rule for linear functions
wt: 11: 18 Chain Rule Introduction
wt: 11: 12 Quotient rule examples
wt: 11: 7 Animated Differentiation Examples
wt: 11: 13 Limits with Parameters and Derivatives Take II
wt: 11: 5 Jumps and absence of unlimited error control
wt: 11: .H1 First Fundamental Theorem of Calculus
wt: 11: G.2 Differentiable Functions Mean Value Theorem
wt: 11: F.1 What Functions are Continuous
wt: 11: Chapter 23 Links To Trigonometry
wt: 11: Chapter 21 Arrow Addition
wt: 11: Chapter 20 Vectors and Complex Numbers
wt: 11: Chapter 16. Velocity Approximation
wt: 11: Chapter 15. Slope Approximation
wt: 11: Chapter 11. Graphing Slope versus Position
wt: 11: Chapter 7 Slopes and Velocity
wt: 11: Chapter 1.Introduction
wt: 11: Chapter 29 Contrapositive and Vacuously True Implications
wt: 11: Chapter 4 Complex Numbers and Why Slopes
wt: 11: Chapter 23 Truth Tables
wt: 11: Chapter 17 Objective Ways Trial and Error Discovery
wt: 11: Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
wt: 11: Phase 1. Basics Skills with clear take home value 5 to 6 years
wt: 10: Skills Chapter 5 Calculus
wt: 10: Skills Chapter 1 Arithmetic
wt: 10: 11 pure mathematics
wt: 10: 8 analytic geometry etc
wt: 10: 1 arithmetic with unsigned numbers
wt: 10: Teach the teachers plus goals
wt: 10: five decades make a difference
wt: 10: Maps Plans Drawings
wt: 10: talk the algebra talk
wt: 10: the trouble with algebra
wt: 10: 02 20 mathematics education references
wt: 10: three aims for mathematics students
wt: 10: Operational Viewpoint to Value
wt: 10: mathematics instruction in general
wt: 10: Different Kinds of Reasoning in maths
wt: 10: three kinds of reason in mathematics
wt: 10: Four ways to improve education reform
wt: 10: Prequel In For A Penny In For A Pound
wt: 10: fairness and inductive principles for instruction
wt: 10: chapitre 07 01 principle D induction mathematique
wt: 10: chapitre 06 00 Chaines de la raison
wt: 10: chapitre 03 A Propos Des Prochains Chapitre
wt: 10: Objectives for Mathematics and Logic Language Skill Development
wt: 10: 3 Formula or function graphing exercise
wt: 10: 10 Exponential Growth and Decay Models
wt: 10: Rewriting algebraic substitution as function substitutions
wt: 10: 16 cotangent function Definition Graph and Inverse
wt: 10: 15 cosecant function Definition Graph and Inverse
wt: 10: 13 cosecant function Definition Graph and Inverse
wt: 10: 11 arctan left inverse of tangent Graph
wt: 10: A Global Time and Navigation
wt: 10: 3 Navigation with Arrows or Vectors
wt: 10: Straight Lines Instersection Solving Equations
wt: 10: Straight Lines Intersection of
wt: 10: C Straight Lines Slope from Coordinates
wt: 10: B Straight Line Slope Scaling Properties More
wt: 10: 4 Tangent Function Properties
wt: 10: 17 tangent function angle sum formulas
wt: 10: 32 seven rows of pascals triangle
wt: 10: 31 basic secant cosecant cotangent trig identities
wt: 10: 27 Logarithmic use of products of sines and cosines
wt: 10: 22 sine of 22.5 degrees via half angle formulas
wt: 10: 17B sine cosine Angle Sum Formulas via cis
wt: 10: 17A The complex number valued trig function cis
wt: 10: 13 Graph of tangent function many periods
wt: 10: 13 Trig Formulas for dot and cross Products
wt: 10: 10 sine cosine Angle Sum Formulas via cis
wt: 10: 2 Similar Triangles Equality of Corresponding Side Ratios
wt: 10: 8 Similarity of Triangles and Polygons
wt: 10: 6 Geometric Diagrams in Class
wt: 10: 3 Similarity by Design with coordinates
wt: 10: 1 Early Concept of Like or Similar Shapes
wt: 10: 10 Midpoint of [a b] and [b a]
wt: 10: 5 Algebraic View of Slopes
wt: 10: What is and is not here
wt: 10: Euclidean Geometry Elsewhere LINKS
wt: 10: PS A Kite Construction Methods
wt: 10: 21 Parallelograms
wt: 10: 18 Triangle Similarity Take 1
wt: 10: 17 Right Bisectors of Triangle Sides
wt: 10: 12 Side Angle Side Failure
wt: 10: 11 Triangle Construction Fails
wt: 10: 10 Dropping a perpendicular to line
wt: 10: Short Course on Euclidean Geometry
wt: 10: 1 Length Measurement
wt: 10: musings do not puiblish real numbers
wt: 10: 26 More Less Greater Than Comparison
wt: 10: 22 Multiplication of Signed Numbers
wt: 10: 21 Addition of Multiples of a Single Vector
wt: 10: 20 Length and Direction of Collinear Vector Sums How to Add Definition
wt: 10: 13 Arrows and Vectors in a Plane
wt: 10: 2 Algebraic View
wt: 10: 1 Changing Calculations
wt: 10: 13 Real Number Subtraction
wt: 10: 8 Coordinates for Maps and Planes
wt: 10: 1 Whole and Natural Numbers
wt: 10: 5 Talking about Numbers and Quantities
wt: 10: 16 GCD and LCM of 650 225 via Prime
wt: 10: 13 GCD from given Prime Factorization
wt: 10: 11 GCD 2700 288 via Euclid Algorithm
wt: 10: 10 Euclid Algorithm with 129 125 and with 45 14
wt: 10: 8 GCD from Euclidean Algorithm
wt: 10: 7 GCD and LCM from prime factorization
wt: 10: 4 LCM of 8 and 10 via Prime
wt: 10: 11 What are real lengths and numbers
wt: 10: 2 signed and unsigned numbers as coordinates
wt: 10: 11 Simplification an Algebraic View
wt: 10: 2 Unit Fraction Multiplication
wt: 10: 1 What is a fraction
wt: 10: 24 Divisibility Tests for 2 3 5 9 10
wt: 10: 12 Why Long Division Works Take III
wt: 10: 11 Another Single Digit Divisor Example
wt: 10: 10 Division by Five Long and Short Ways
wt: 10: 9 Why Long Division Works Take II
wt: 10: B Powers of Ten
wt: 10: 2 One Digit Multipliers
wt: 10: Quick history of numbers and algebra
wt: 10: 016 Numbering Occidental Calendar Days
wt: 10: 20 Chain Rule for Pulley Systems
wt: 10: 15 sine and cosine derivatives 3rd step
wt: 10: 13 sine and cosine derivatives 1st step
wt: 10: 8 Differentiation of polynomials
wt: 10: 6 Power rule from product rule
wt: 10: 5 Product Rule
wt: 10: 3 Motivation for Limit Definition Take 2
wt: 10: 12 Limits with Parameters and Derivatives Take I
wt: 10: Postscript One Sided and Intermediate Value Theorems
wt: 10: G.6 Bounded Derivatives implies Lipshitz Continuity
wt: 10: G.4 Lipschitz Continuity implies EquiContinuity
wt: 10: F.5a Equicontinuity Theorems
wt: 10: F.3 Intermediate Value Theorem
wt: 10: B3 Bolzano Weierstrass Theorem
wt: 10: PostScript For and Against Decimal Perspectives
wt: 10: Chapter 22 Complex Numbers
wt: 10: Chapter 8. Slope Interpretation
wt: 10: Chapter 9 Talking about Numbers or Quantities
wt: 10: Chapter 2 Implication Rules Forwards and Backwards
wt: 10: Annotated Links to Material Elsehwere
wt: 10: Postscript B Mathematics Education References
wt: 10: Postscript C Consistency as a Tool for Reason
wt: 10: Chapter 20 Shorthand Symbols as Pronouns
wt: 10: Chapter 19 What is in chapters 20 to 24
wt: 10: Chapter 11 Accidental Patterns
wt: 10: Chapter 9 What is in Chapters 10 to 18
wt: 10: Chapter 7 Longer Chains of Reason
wt: 10: Chapter 6 Chains of Reason
wt: 10: More Algebra and Slope based Calculus Preview
wt: 10: Systematic Algebra Skill Development Missing Links
wt: 10: Phase 2. More Basic Skills with likely take home value 1 to 2 years

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Mathematics Skills For Ages 3 to 14

Skills with take home value

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

1 Decimal Place Value
2 Arithmetic with Decimals

A Decimal Counting and Adding Methods
B Decimal Comparing and Subtracting Methods
C Decimal Multiplication Methods
D Decimal Long Division Methods

3 Prime Factorization Skills
4 Remainder Arithmetic and Divisibility
5 Integers
6 Fractions and Ratios
7 Arithmetic and Fractions with Units
8 Arithmetic with Signed Numbers
9 Combinatorics - Trees Tables and Products
10 LCM GCD and Euclid GCD Algorithm
11 Squares and Square Roots
12 Comparison of Unsigned and Signed Numbers

Site coverage of primes, fractions and arithmetic with units is good - a must for students 11 to adult in school or remedial college mathematics. Site coverage of decimals is too much - Be selective.

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development

Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

13 Lessons on Limits and Continuity
38 Lessons on Calculating Derivatives
4 Lessons on Using Derivatives
5 Lessons on Integration
12 Webvideo Lessons on Area and Volume Calculation

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity

Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards

More Algebra
Logarithms-a^x & m/n^th roots