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What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

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43 matches:

1.    wt: 9:   6 Fractions and Ratios/
2.    wt: 7:   12 Comparison of Unsigned and Signed Numbers/
3.    wt: 7:   7 Arithmetic and Fractions with Units/
4.    wt: 6:   11 Squares and Square Roots/
5.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
6.    wt: 6:   9 Combinatorics Trees Tables and Products/
7.    wt: 6:   8 Arithmetic with Signed Numbers/
8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
9.    wt: 6:   3 Prime Factorization Skills/
10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
11.    wt: 6:   A Decimal Counting and Adding Methods/
12.    wt: 5:   5 Integers/
13.    wt: 5:   D Decimal Long Division Methods/
14.    wt: 5:   C Decimal Multiplication Methods/
15.    wt: 5:   2 Arithmetic with Decimals/
16.    wt: 5:   1 Decimal Place Value/
17.    wt: 5:   Arithmetic and Number Theory Skills/
18.    wt: 2:   Step 1 Stick diagram and fractions/
19.    wt: 1:   Mathematics Skills Year by Year/
20.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
21.    wt: 1:   12 Function Translating and Rescaling/
22.    wt: 1:   11 Parallel Straight Lines and Transversals/
23.    wt: 1:   10 Intersecting Straight Lines and Transversals/
24.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
25.    wt: 1:   7 Complex Numbers/
26.    wt: 1:   6 Trigonometry first steps/
27.    wt: 1:   4 Lines and Slopes Take 1/
28.    wt: 1:   3 Cartesian and Polar Coordinates/
29.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
30.    wt: 1:   B Real Numbers Extrinsic Development/
31.    wt: 1:   A Origins of Counting and Figuring Methods/
32.    wt: 1:   9 Proportionality Backwards and Forwards/
33.    wt: 1:   7 Axioms Logic and Equivalent Equations/
34.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
35.    wt: 1:   5 Real Numbers/
36.    wt: 1:   4 Computation Rules and Function Notation/
37.    wt: 1:   Time Date Matters/
38.    wt: 1:   Skills with take home value/
39.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
40.    wt: 1:   13 Lessons on Limits and Continuity/
41.    wt: 1:   Volume 2 Three Skills For Algebra/
42.    wt: 1:   Work and Study Tips/
43.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

363 matches:

1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
2.    wt: 4:   11 Signed Number Addition and Addition Properties
3.    wt: 3:   13 Addition and Addition Tables
4.    wt: 3:   2 Combing Counts Addition Skills and Principles
5.    wt: 3:   B Fractions and Two Term Ratios
6.    wt: 3:   A Similarities between Fractions and Two Term Ratios
7.    wt: 3:   9 Improper Fractions and Mixed Numbers
8.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
9.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
10.    wt: 2:   Ramblings Extrinsic numbers theory
11.    wt: 2:   2 Reading and Writing Skills
12.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
13.    wt: 2:   Vector and Complex Number Applet
14.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
15.    wt: 2:   14 cosine even and sine and tangent are odd
16.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
17.    wt: 2:   3 Trigonometric Ratios sine and cosine
18.    wt: 2:   5 Cartesian Addition and Translation
19.    wt: 2:   3 Lengths and Areas on Maps and Plans
20.    wt: 2:   8 Division and Mulplication of Compound Fractions
21.    wt: 2:   4 Rates Ratios and Proporitionality
22.    wt: 2:   2 Addition and Multiplication Axioms
23.    wt: 2:   2 More and Less Than for Counts and Measures
24.    wt: 2:   11 Real Number Addition
25.    wt: 2:   10 Real Number Lengths and Signs
26.    wt: 2:   1 Whole and Natural Numbers
27.    wt: 2:   3 GE III Equation Addition and Multiplication
28.    wt: 2:   5 Talking about Numbers and Quantities
29.    wt: 2:   4 A Brief Story of numbers and algebra
30.    wt: 2:   1 More and Less Than for Counts and Measures
31.    wt: 2:   11 What are real lengths and numbers
32.    wt: 2:   5 lengths and signs of numbers
33.    wt: 2:   2 signed and unsigned numbers as coordinates
34.    wt: 2:   5 Reciprocals and Division for Fractions with Units
35.    wt: 2:   3 Multiplying Units and Numbers
36.    wt: 2:   1 Addition and Subtraction with Units
37.    wt: 2:   21 Reciprocals for Fractions and Wholes
38.    wt: 2:   17 Efficient Ways to Add and Subtract
39.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
40.    wt: 2:   8 What skills and work habits to require
41.    wt: 2:   6. Counting and adding units and mixed units
42.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
43.    wt: 2:   Quick history of numbers and algebra
44.    wt: 2:   Exact Arithmetic Wholes and Fractions
45.    wt: 2:   38 Formulas and derivatives for powers and roots
46.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
47.    wt: 2:   Chapter 20 Vectors and Complex Numbers
48.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
49.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
50.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
51.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
52.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
53.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
54.    wt: 2:   I. Logic and language skills
55.    wt: 2:   How to Build Skills and Confidence
56.    wt: 1:   Appendix 1 primary and preschool mathematic
57.    wt: 1:   G LAMP Introduction Problem Solving Skills
58.    wt: 1:   B LAMP Introduction Curriculum Development Standards
59.    wt: 1:   Skills Chapter 5 Calculus
60.    wt: 1:   Skills Chapter 4 Logic
61.    wt: 1:   Skills Chapter 3 Algebra
62.    wt: 1:   Skills Chapter 2 Geometry
63.    wt: 1:   Skills Chapter 1 Arithmetic
64.    wt: 1:   Skills Chapter 0 Introduction
65.    wt: 1:   7 logic review and decimals an odd combination
66.    wt: 1:   5 logarithms and exponentials etc
67.    wt: 1:   2 arithmetic with signed numbers
68.    wt: 1:   1 arithmetic with unsigned numbers
69.    wt: 1:   key notes and themes
70.    wt: 1:   what should be learnt and When
71.    wt: 1:   standards for course material
72.    wt: 1:   Theory of Knowledge
73.    wt: 1:   Education in mathematics science and technology
74.    wt: 1:   Motivation and Context Problem
75.    wt: 1:   fairness and inductive principles for instruction
76.    wt: 1:   Home Tutoring and Home Schooling
77.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
78.    wt: 1:   24 Standards For Skill Develoment Take II
79.    wt: 1:   24 Standards For Skill Develoment
80.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
81.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
82.    wt: 1:   17 Math Booklets for children and young teenagers
83.    wt: 1:   14 Multiplication and Times Tables
84.    wt: 1:   12 Goals and Objectives For Mathematics
85.    wt: 1:   11 Help and Defend Your Child or Teens Education
86.    wt: 1:   5 Patience Please for Yourself and Your Charges
87.    wt: 1:   4 Learning Takes Time and Effort
88.    wt: 1:   1 Speaking Skills
89.    wt: 1:   Ages 12 to 14 Skills with take home value
90.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
91.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
92.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
93.    wt: 1:   26 Function definitions done and coming
94.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
95.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
96.    wt: 1:   19 Horizontal line rule and method
97.    wt: 1:   18 Vertical Line Rule and Method
98.    wt: 1:   17 Function maxima minima and their location
99.    wt: 1:   11 Function Domain Range Source and Targets
100.    wt: 1:   9 Set theory term relation possible origins
101.    wt: 1:   8 Set view of relations and functions
102.    wt: 1:   6 Set Existence Formation and Notation
103.    wt: 1:   4 Function notation in and beyond mathematics
104.    wt: 1:   9 quadratics physical and further context
105.    wt: 1:   11 Growth and Decay in Biology
106.    wt: 1:   10 Exponential Growth and Decay Models
107.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
108.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
109.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
110.    wt: 1:   3 Polynomials Multiplication Addition
111.    wt: 1:   16 cotangent function Definition Graph and Inverse
112.    wt: 1:   15 cosecant function Definition Graph and Inverse
113.    wt: 1:   14 secant function Definition Graph and Inverse
114.    wt: 1:   13 cosecant function Definition Graph and Inverse
115.    wt: 1:   9 Summary Degrees to Radians and back
116.    wt: 1:   1 Degrees and Radians Introduction
117.    wt: 1:   A Global Time and Navigation
118.    wt: 1:   15 Dot and Cross Product
119.    wt: 1:   10 Parallelogram Addition Method
120.    wt: 1:   5 Head To Tail Arrow Addition
121.    wt: 1:   Parallel Lines and Parallel Transversals
122.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
123.    wt: 1:   Parallel Lines and Interior Angles
124.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
125.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
126.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
127.    wt: 1:   29 secant cosecant and cotangent for acute angles
128.    wt: 1:   27 Logarithmic use of products of sines and cosines
129.    wt: 1:   26 Formulas for products of sines and cosines
130.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
131.    wt: 1:   21 sine and cosine Half Angle Formulas
132.    wt: 1:   20 sine and cosine Double Angle Formulas
133.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
134.    wt: 1:   17E Trig Formulas for dot and cross Products
135.    wt: 1:   17D cis formulas for sine cosines and tangent
136.    wt: 1:   17C sine and cosine double triple angle formulas
137.    wt: 1:   17A The complex number valued trig function cis
138.    wt: 1:   10 Graphs of sines and cosines many periods
139.    wt: 1:   9 Graphs of sine and cosine over one period
140.    wt: 1:   7 period of sine and cosine
141.    wt: 1:   6 sines and cosines for reference angle 30 degrees
142.    wt: 1:   5 sines and cosines for reference angle 60 degrees
143.    wt: 1:   4 sines and cosines for reference angle 45 degrees
144.    wt: 1:   3 sines and cosines for reference angle 90 degrees
145.    wt: 1:   Right Triangle and Unit Circle Trigonometry
146.    wt: 1:   21 Logarithms Powers and Exponentials
147.    wt: 1:   20 N th Roots of Complex Numbers
148.    wt: 1:   16 References and Originality Question
149.    wt: 1:   13 Trig Formulas for dot and cross Products
150.    wt: 1:   12 cis formulas for sine cosines and tangent
151.    wt: 1:   11 sine and cosine double triple angle formulas
152.    wt: 1:   9 The complex number valued trig function cis
153.    wt: 1:   6 Field Properties of Complex Number
154.    wt: 1:   3 Addition Properties
155.    wt: 1:   2 Complex Numbers made easier we hope
156.    wt: 1:   Appetizer A Complex Number Applet
157.    wt: 1:   7 Trignometric Ratios Unit Circle
158.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
159.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
160.    wt: 1:   Right Triangle and Unit Circle Trigonometry
161.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
162.    wt: 1:   8 Similarity of Triangles and Polygons
163.    wt: 1:   5 Similarity of Circles Squares and Rectangles
164.    wt: 1:   10 Midpoint of [a b] and [b a]
165.    wt: 1:   7 Exercises to test skill and concept mastery
166.    wt: 1:   1 Numerical view of lines and their equations
167.    wt: 1:   What is and is not here
168.    wt: 1:   7 Complex Numbers Appetizer
169.    wt: 1:   6 Polar Multiplication and Rotation
170.    wt: 1:   4 Polar Coordinates to and from
171.    wt: 1:   PS H Distributive Law For Complex Numbers
172.    wt: 1:   PS G Rotation Distributes over Addition
173.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
174.    wt: 1:   PS D Addition with Cartesian Coordinates
175.    wt: 1:   16 Angles Subtended By Chords and Diameters
176.    wt: 1:   6 Ruler and compass Angle Bisection
177.    wt: 1:   1 Initial Concepts and Terms
178.    wt: 1:   musings do not puiblish real numbers
179.    wt: 1:   A Modular and Remainder Arithmetic
180.    wt: 1:   A Signed Number Arithmetic Review
181.    wt: 1:   24 Signed Numbers Arithmmetic Properties
182.    wt: 1:   22 Multiplication of Signed Numbers
183.    wt: 1:   21 Addition of Multiples of a Single Vector
184.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
185.    wt: 1:   18 Geometrically Why Vector Addition Commutes
186.    wt: 1:   15 Head to Tails in place Addition Associative
187.    wt: 1:   14 Vector Head to Tail Sums and Resultants
188.    wt: 1:   13 Arrows and Vectors in a Plane
189.    wt: 1:   12 Real Numbers Line Signed Coordinates
190.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
191.    wt: 1:   5 Fractions with Infinite Decimal Expansions
192.    wt: 1:   4 Location of Point in Decimal Addition
193.    wt: 1:   1 Fractions with Finite Decimal Expansions
194.    wt: 1:   B Decimal Comparison and Subtraction
195.    wt: 1:   A Decimal Addition Columm Methods
196.    wt: 1:   5 Distributive Law for Whole Numbers
197.    wt: 1:   3 Multiplicative Counting Skills Principles
198.    wt: 1:   1 The Counting Origins of Numbers
199.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
200.    wt: 1:   5 Proportionality in Equivalent Fractions
201.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
202.    wt: 1:   6 Compound Interest Forward and Backwards
203.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
204.    wt: 1:   6 Equations and Systems Equivalent or Implied
205.    wt: 1:   4 Subtraction and Division Axioms
206.    wt: 1:   4 Comparison of Negative Numbers
207.    wt: 1:   3 More and Less Than with Unlike Signs
208.    wt: 1:   1 Real Numbers Comparison
209.    wt: 1:   16 Real Numbers Comparison
210.    wt: 1:   15 Real Number Division
211.    wt: 1:   14 Real Number Multiplication
212.    wt: 1:   13 Real Number Subtraction
213.    wt: 1:   12 Real Number Additive Inverses or Negatives
214.    wt: 1:   8 Coordinates for Maps and Planes
215.    wt: 1:   7 Real Numbers as Line Cordinates
216.    wt: 1:   6 Unsigned Real Numbers
217.    wt: 1:   5 Rational Numbers More
218.    wt: 1:   4 Rational Numbers
219.    wt: 1:   3 Fractions
220.    wt: 1:   3 Geometric Formulas and Function Notation
221.    wt: 1:   1 Formulas Dependence and Function Notation
222.    wt: 1:   4 Four Examples Fractional Coefficients
223.    wt: 1:   1 Written work formats for developing and showing skill
224.    wt: 1:   9 Sets in Probability and Statistics
225.    wt: 1:   8 Sets of Numbers
226.    wt: 1:   1 Three Skills For Algebra
227.    wt: 1:   3 Comparison of Negative Numbers
228.    wt: 1:   2 More and Less Than with Unlike Signs
229.    wt: 1:   1 Squares and Square Roots Introduction
230.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
231.    wt: 1:   16 GCD and LCM of 650 225 via Prime
232.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
233.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
234.    wt: 1:   7 GCD and LCM from prime factorization
235.    wt: 1:   4 LCM of 8 and 10 via Prime
236.    wt: 1:   3 Counting with Tables and Trees II
237.    wt: 1:   2 Counting with Tables and Trees I
238.    wt: 1:   1 Counting and Counting Methods I
239.    wt: 1:   10 dividing signed numbers
240.    wt: 1:   9 subtracting signed numbers
241.    wt: 1:   8 multiplying signed numbers
242.    wt: 1:   7 negative and additive inverse
243.    wt: 1:   6 adding signed numbers
244.    wt: 1:   3 signed coordinates for maps and planes
245.    wt: 1:   6 Simplification of Fractions with Units
246.    wt: 1:   4 Fractions with Units
247.    wt: 1:   2 Equality and Units
248.    wt: 1:   D Three Term Ratios
249.    wt: 1:   22 Complex Compound Fractions
250.    wt: 1:   20 Dividing Fractions the Why
251.    wt: 1:   19 Dividing Fractions How TO
252.    wt: 1:   18 Efficient Ways to Multiply
253.    wt: 1:   16 Addition Subtraction Comparision Compared
254.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
255.    wt: 1:   14 Adding and Subtracting with Like Denominators
256.    wt: 1:   5 Equivalent Fractions
257.    wt: 1:   11 Adding Integers Formulas and Examples
258.    wt: 1:   8 Multiplication by Signed Numbers Integers
259.    wt: 1:   6 Multiplication by Natural Numbers
260.    wt: 1:   5 Zero Movement and Additive Inverses
261.    wt: 1:   A Decimals Modular and Remainder Arithmetic
262.    wt: 1:   17 Identify and Count Factors using Primes
263.    wt: 1:   12 LCD GCD and LCM using Primes
264.    wt: 1:   11 Efficient Square Rule Use
265.    wt: 1:   7 Calculator Usage Notes and Cautions
266.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
267.    wt: 1:   5 Prime Factorization and a Square Rule
268.    wt: 1:   3 video Primes and Composites from 9 times table
269.    wt: 1:   2 Prime and Composites less than 16
270.    wt: 1:   Division with Counts and Length
271.    wt: 1:   Long Division forwards and backwards Example 3
272.    wt: 1:   Long Division forwards and backwards Example 2
273.    wt: 1:   Long Division forwards and backwards Example 1
274.    wt: 1:   10 Division by Five Long and Short Ways
275.    wt: 1:   4 Two and Three Digit Multipliers
276.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
277.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
278.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
279.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
280.    wt: 1:   7 Adding decimal fractions using decimal point
281.    wt: 1:   1. Explaining Addition Table
282.    wt: 1:   11 Place Value SI Standard International way
283.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
284.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
285.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
286.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
287.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
288.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
289.    wt: 1:   1 Place Value in Three Digit Whole Numbers
290.    wt: 1:   Practical Methods Ends and Values for Arithmetic
291.    wt: 1:   016 Numbering Occidental Calendar Days
292.    wt: 1:   015 School and work day counting tables
293.    wt: 1:   011 Division of Time Intervals By Numbers
294.    wt: 1:   010 Repeated Addition of Time Intervals
295.    wt: 1:   9 Comparison and Subtraction of Time Intervals
296.    wt: 1:   8 Addition of Time Intervals via subtotaling
297.    wt: 1:   7 Addition of Time Intervals
298.    wt: 1:   4 Mixing and Changing Units of Time
299.    wt: 1:   3 Units and Lengths of Time
300.    wt: 1:   2 Time and Date Matters in School
301.    wt: 1:   1 Intro of Kids To Time Date Skills
302.    wt: 1:   Example 1. Area Between x and x squared
303.    wt: 1:   17 Derivatives of quotients of sine and cosine
304.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
305.    wt: 1:   15 sine and cosine derivatives 3rd step
306.    wt: 1:   14 sine and cosine derivatives 2nd step
307.    wt: 1:   13 sine and cosine derivatives 1st step
308.    wt: 1:   13 Limits with Parameters and Derivatives Take II
309.    wt: 1:   12 Limits with Parameters and Derivatives Take I
310.    wt: 1:   9 Limits Continuity and Composition
311.    wt: 1:   5 Jumps and absence of unlimited error control
312.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
313.    wt: 1:   PostScript For and Against Decimal Perspectives
314.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
315.    wt: 1:   Chapter 22 Complex Numbers
316.    wt: 1:   Chapter 21 Arrow Addition
317.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
318.    wt: 1:   Chapter 12. Units and Slopes
319.    wt: 1:   Chapter 10 Slopes and Units
320.    wt: 1:   Chapter 7 Slopes and Velocity
321.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
322.    wt: 1:   Chapter 2. Slopes and Ski Trails
323.    wt: 1:   Appendix E. How To Study Mathematics and Why
324.    wt: 1:   Appendix D. What to do in School and Why
325.    wt: 1:   Chapter 31 Direct and Indirect Reason
326.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
327.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
328.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
329.    wt: 1:   Chapter 22. Geometric Sums and Sequences
330.    wt: 1:   Chapter 20. Degrees and Radians
331.    wt: 1:   Chapter 19. Functions and Sets
332.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
333.    wt: 1:   Chapter 12. Shorthand Usage Guide
334.    wt: 1:   Chapter 11. Why Shorthand
335.    wt: 1:   Chapter 10 Describing and Changing Calculations
336.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
337.    wt: 1:   Chapter 8 Three Skills For Algebra
338.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
339.    wt: 1:   Chapter 2 For and Against Mathematics
340.    wt: 1:   Postscript B More on Story Telling and Reason
341.    wt: 1:   Chapter 24 Direct and Indirect Reason
342.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
343.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
344.    wt: 1:   Chapter 18 Sense and Knowledge
345.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
346.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
347.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
348.    wt: 1:   R Why Learn Mathematics Skills
349.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
350.    wt: 1:   O On Learning Mathematics and Science
351.    wt: 1:   L Skills with take home value
352.    wt: 1:   N Improving Marks on Tests and Finals
353.    wt: 1:   J. More on written work and showing skill
354.    wt: 1:   H Jigsaw puzzles and problem solving
355.    wt: 1:   G. Written work formats for developing and showing skill
356.    wt: 1:   E. When and how to correct errors
357.    wt: 1:   Helping the Blind in Logic and Mathematics
358.    wt: 1:   More Algebra and Slope based Calculus Preview
359.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
360.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
361.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
362.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
363.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

702 matches:

1.    wt: 9:   1 More and Less Than for Counts and Measures
2.    wt: 9:   5 Reciprocals and Division for Fractions with Units
3.    wt: 9:   3 Multiplying Units and Numbers
4.    wt: 9:   1 Addition and Subtraction with Units
5.    wt: 9:   21 Working With Signs
6.    wt: 9:   13 Fraction Comparison Algebraic View
7.    wt: 9:   12 Fraction Comparison
8.    wt: 9:   11 Simplification an Algebraic View
9.    wt: 9:   8 Numerals Fractionals Quantals Take II
10.    wt: 9:   7 Numerals Fractionals Quantals
11.    wt: 9:   6 Multiplication Algebraically Take II
12.    wt: 9:   4 Fraction Multiplication
13.    wt: 9:   3 Unit fraction of a fraction
14.    wt: 9:   2 Unit Fraction Multiplication
15.    wt: 9:   1 What is a fraction Take II
16.    wt: 9:   1 What is a fraction
17.    wt: 8:   3 Comparison of Negative Numbers
18.    wt: 8:   2 More and Less Than with Unlike Signs
19.    wt: 8:   11 What are real lengths and numbers
20.    wt: 8:   5 lengths and signs of numbers
21.    wt: 8:   2 signed and unsigned numbers as coordinates
22.    wt: 8:   6 Simplification of Fractions with Units
23.    wt: 8:   4 Fractions with Units
24.    wt: 8:   2 Equality and Units
25.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
26.    wt: 8:   8 What skills and work habits to require
27.    wt: 8:   6. Counting and adding units and mixed units
28.    wt: 7:   4 Greater More Less Than Signs in General
29.    wt: 7:   1 Squares and Square Roots Introduction
30.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
31.    wt: 7:   16 GCD and LCM of 650 225 via Prime
32.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
33.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
34.    wt: 7:   7 GCD and LCM from prime factorization
35.    wt: 7:   4 LCM of 8 and 10 via Prime
36.    wt: 7:   3 Counting with Tables and Trees II
37.    wt: 7:   2 Counting with Tables and Trees I
38.    wt: 7:   1 Counting and Counting Methods I
39.    wt: 7:   10 dividing signed numbers
40.    wt: 7:   9 subtracting signed numbers
41.    wt: 7:   8 multiplying signed numbers
42.    wt: 7:   7 negative and additive inverse
43.    wt: 7:   6 adding signed numbers
44.    wt: 7:   3 signed coordinates for maps and planes
45.    wt: 7:   7 Converting or Changing Units
46.    wt: 7:   6 Multiplication by Natural Numbers
47.    wt: 7:   A Decimals Modular and Remainder Arithmetic
48.    wt: 7:   17 Identify and Count Factors using Primes
49.    wt: 7:   12 LCD GCD and LCM using Primes
50.    wt: 7:   11 Efficient Square Rule Use
51.    wt: 7:   7 Calculator Usage Notes and Cautions
52.    wt: 7:   5 Prime Factorization and a Square Rule
53.    wt: 7:   3 video Primes and Composites from 9 times table
54.    wt: 7:   2 Prime and Composites less than 16
55.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
56.    wt: 7:   6 Subtraction with Conversion Example with Exercises
57.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
58.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
59.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
60.    wt: 7:   7 Adding decimal fractions using decimal point
61.    wt: 7:   1. Explaining Addition Table
62.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
63.    wt: 7:   Quick history of numbers and algebra
64.    wt: 7:   Exact Arithmetic Wholes and Fractions
65.    wt: 6:   5 Square Roots with primes more still
66.    wt: 6:   4 Square Roots with primes more
67.    wt: 6:   3 Properties of Square Roots with example
68.    wt: 6:   2 Square Roots with Prime
69.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
70.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
71.    wt: 6:   13 GCD from given Prime Factorization
72.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
73.    wt: 6:   8 GCD from Euclidean Algorithm
74.    wt: 6:   6 GCD from Prime
75.    wt: 6:   5 Common Divisors 60 45 via Prime
76.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
77.    wt: 6:   2 Least Common Multiple LCM intro via list method
78.    wt: 6:   1 Least Common Multiples LCM Introduction
79.    wt: 6:   12 GCD 2700 288 via Prime
80.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
81.    wt: 6:   4 Counting with Trees Product Rule Take I
82.    wt: 6:   4 signed coordinates for regions in space
83.    wt: 6:   11 Adding Integers Formulas and Examples
84.    wt: 6:   8 Multiplication by Signed Numbers Integers
85.    wt: 6:   5 Zero Movement and Additive Inverses
86.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
87.    wt: 6:   26 Divisibility by 2 3 5 Example
88.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
89.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
90.    wt: 6:   23 Remainder Arithmetic Modulo 2
91.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
92.    wt: 6:   21 Remainder Arithmetic Modulo 3
93.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
94.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
95.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
96.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
97.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
98.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
99.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
100.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
101.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
102.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
103.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
104.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
105.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
106.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
107.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
108.    wt: 6:   5 Remainder Arithmetic Modulo 5
109.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
110.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
111.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
112.    wt: 6:   1 Remainder Arithmetic Modulo 10
113.    wt: 6:   20 Uniqueness of Prime Factorization
114.    wt: 6:   19 video Prime Factorization Unique
115.    wt: 6:   18 video Count Factors given Prime Factorization
116.    wt: 6:   16 video Factors of 980 using prime
117.    wt: 6:   15 video Factors of 20 using Prime Factorization
118.    wt: 6:   14 video Factors of 24 Take II
119.    wt: 6:   13 video Factors of 24 using prime
120.    wt: 6:   10 video Prime Factorization upto 23 squared
121.    wt: 6:   9 video Prime Factorization upto 19 squared
122.    wt: 6:   8 video Prime Factorization upto 19
123.    wt: 6:   4 video Prime Factorization Introduction
124.    wt: 6:   1 video how Products are bigger than factor
125.    wt: 6:   Division with Counts and Length
126.    wt: 6:   Long Division forwards and backwards Example 3
127.    wt: 6:   Long Division forwards and backwards Example 2
128.    wt: 6:   Long Division forwards and backwards Example 1
129.    wt: 6:   10 Division by Five Long and Short Ways
130.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
131.    wt: 6:   6 Multiplication Commutes Order Not Important
132.    wt: 6:   4 Two and Three Digit Multipliers
133.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
134.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
135.    wt: 6:   Subtraction with J Conversions Example
136.    wt: 6:   Subtraction Another Video Lesson
137.    wt: 6:   9 22 Minute Subtraction Review Video
138.    wt: 6:   8 Subtraction with Units of Measure
139.    wt: 6:   5 A Tip for Efficent Subtraction
140.    wt: 6:   2 Subtraction Easy Case Examples
141.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
142.    wt: 6:   5. How to add decimals C. Examples
143.    wt: 6:   4. How to add with decimals B with conversions
144.    wt: 6:   3. How to add with decimals A sans conversions
145.    wt: 6:   2 Decimal Counting Practices
146.    wt: 6:   11 Place Value SI Standard International way
147.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
148.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
149.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
150.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
151.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
152.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
153.    wt: 6:   1 Place Value in Three Digit Whole Numbers
154.    wt: 6:   Practical Methods Ends and Values for Arithmetic
155.    wt: 5:   11 Signed Number Addition and Addition Properties
156.    wt: 5:   arithmetic videos Real Player Format
157.    wt: 5:   D Remainders Modulo 11 Pair Rule
158.    wt: 5:   C Divisibility by 11 Integer Recognition Method
159.    wt: 5:   B Integer Long Division Multiple Choices
160.    wt: 5:   A Associative Law Theorectical Note
161.    wt: 5:   13 Subtraction with Additive Inverse
162.    wt: 5:   12 Adding Integers More Examples
163.    wt: 5:   10 Integer Multiplication Formulas
164.    wt: 5:   9 Multiplying Integers
165.    wt: 5:   7 Multiplication by Signs
166.    wt: 5:   4 Adding Movements wiht opposite directions
167.    wt: 5:   3 Adding Movements with same direction
168.    wt: 5:   2 Integers Multiplies of a Unit Moverment
169.    wt: 5:   1 Integers as Coordinates
170.    wt: 5:   Long Division Backwards more
171.    wt: 5:   Long Division Backward
172.    wt: 5:   12 Why Long Division Works Take III
173.    wt: 5:   11 Another Single Digit Divisor Example
174.    wt: 5:   9 Why Long Division Works Take II
175.    wt: 5:   8 Correcting the Mistake
176.    wt: 5:   7 Long Divison Mistake Catching
177.    wt: 5:   5 Long Division Include Zeroes or not
178.    wt: 5:   4 Division with 2 Digit Divsors
179.    wt: 5:   3 Division Single Digit Divisor Example
180.    wt: 5:   2 Division with Single Digit Divisors
181.    wt: 5:   1 Divsion Physical Examples
182.    wt: 5:   D Decimal Multiplication Methods Derived
183.    wt: 5:   C Counting Areas with Powers of Ten
184.    wt: 5:   B Powers of Ten
185.    wt: 5:   A Elementary Basis for Multiplication Methods
186.    wt: 5:   5 Decimal Fraction Multiplication
187.    wt: 5:   3 More One Digit Multipliers
188.    wt: 5:   2 One Digit Multipliers
189.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
190.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
191.    wt: 5:   Video Power Notation in Decimal Expansion
192.    wt: 5:   1 Why 3 times 5 gives 15
193.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
194.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
195.    wt: 5:   Formula Evaluation how to show work
196.    wt: 5:   Expression Evaluation how to show work
197.    wt: 5:   The 20 Times Table
198.    wt: 5:   The 12 Times Table Visually
199.    wt: 5:   About folder contents
200.    wt: 4:   2 Combing Counts Addition Skills and Principles
201.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
202.    wt: 3:   13 Addition and Addition Tables
203.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
204.    wt: 3:   6 Field Properties of Complex Number
205.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
206.    wt: 3:   3 Trigonometric Ratios sine and cosine
207.    wt: 3:   6 Polar Multiplication and Rotation
208.    wt: 3:   5 Cartesian Addition and Translation
209.    wt: 3:   6 Ruler and compass Angle Bisection
210.    wt: 3:   8 Division and Mulplication of Compound Fractions
211.    wt: 3:   4 Rates Ratios and Proporitionality
212.    wt: 3:   2 Addition and Multiplication Axioms
213.    wt: 3:   2 More and Less Than for Counts and Measures
214.    wt: 3:   11 Real Number Addition
215.    wt: 3:   10 Real Number Lengths and Signs
216.    wt: 3:   1 Whole and Natural Numbers
217.    wt: 3:   6 Three Examples
218.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
219.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
220.    wt: 3:   I. Logic and language skills
221.    wt: 3:   How to Build Skills and Confidence
222.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
223.    wt: 2:   Ramblings Extrinsic numbers theory
224.    wt: 2:   2 Reading and Writing Skills
225.    wt: 2:   Ages 12 to 14 Skills with take home value
226.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
227.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
228.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
229.    wt: 2:   9 Summary Degrees to Radians and back
230.    wt: 2:   1 Degrees and Radians Introduction
231.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
232.    wt: 2:   Vector and Complex Number Applet
233.    wt: 2:   Parallel Lines and Parallel Transversals
234.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
235.    wt: 2:   Parallel Lines and Interior Angles
236.    wt: 2:   14 cosine even and sine and tangent are odd
237.    wt: 2:   21 Logarithms Powers and Exponentials
238.    wt: 2:   20 N th Roots of Complex Numbers
239.    wt: 2:   16 References and Originality Question
240.    wt: 2:   13 Trig Formulas for dot and cross Products
241.    wt: 2:   12 cis formulas for sine cosines and tangent
242.    wt: 2:   11 sine and cosine double triple angle formulas
243.    wt: 2:   9 The complex number valued trig function cis
244.    wt: 2:   3 Addition Properties
245.    wt: 2:   2 Complex Numbers made easier we hope
246.    wt: 2:   Appetizer A Complex Number Applet
247.    wt: 2:   7 Trignometric Ratios Unit Circle
248.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
249.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
250.    wt: 2:   Right Triangle and Unit Circle Trigonometry
251.    wt: 2:   10 Midpoint of [a b] and [b a]
252.    wt: 2:   7 Exercises to test skill and concept mastery
253.    wt: 2:   6 Intersection of lines by solving linear systems
254.    wt: 2:   1 Numerical view of lines and their equations
255.    wt: 2:   What is and is not here
256.    wt: 2:   7 Complex Numbers Appetizer
257.    wt: 2:   4 Polar Coordinates to and from
258.    wt: 2:   PS H Distributive Law For Complex Numbers
259.    wt: 2:   PS G Rotation Distributes over Addition
260.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
261.    wt: 2:   PS D Addition with Cartesian Coordinates
262.    wt: 2:   16 Angles Subtended By Chords and Diameters
263.    wt: 2:   1 Initial Concepts and Terms
264.    wt: 2:   3 Lengths and Areas on Maps and Plans
265.    wt: 2:   musings do not puiblish real numbers
266.    wt: 2:   A Modular and Remainder Arithmetic
267.    wt: 2:   A Signed Number Arithmetic Review
268.    wt: 2:   24 Signed Numbers Arithmmetic Properties
269.    wt: 2:   22 Multiplication of Signed Numbers
270.    wt: 2:   21 Addition of Multiples of a Single Vector
271.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
272.    wt: 2:   18 Geometrically Why Vector Addition Commutes
273.    wt: 2:   15 Head to Tails in place Addition Associative
274.    wt: 2:   14 Vector Head to Tail Sums and Resultants
275.    wt: 2:   13 Arrows and Vectors in a Plane
276.    wt: 2:   12 Real Numbers Line Signed Coordinates
277.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
278.    wt: 2:   5 Fractions with Infinite Decimal Expansions
279.    wt: 2:   4 Location of Point in Decimal Addition
280.    wt: 2:   1 Fractions with Finite Decimal Expansions
281.    wt: 2:   B Decimal Comparison and Subtraction
282.    wt: 2:   A Decimal Addition Columm Methods
283.    wt: 2:   6 Column Methods for Decimal Multiplication
284.    wt: 2:   5 Distributive Law for Whole Numbers
285.    wt: 2:   3 Multiplicative Counting Skills Principles
286.    wt: 2:   1 The Counting Origins of Numbers
287.    wt: 2:   5 Proportionality in Equivalent Fractions
288.    wt: 2:   6 Equations and Systems Equivalent or Implied
289.    wt: 2:   4 Subtraction and Division Axioms
290.    wt: 2:   4 Comparison of Negative Numbers
291.    wt: 2:   3 More and Less Than with Unlike Signs
292.    wt: 2:   1 Real Numbers Comparison
293.    wt: 2:   16 Real Numbers Comparison
294.    wt: 2:   15 Real Number Division
295.    wt: 2:   14 Real Number Multiplication
296.    wt: 2:   13 Real Number Subtraction
297.    wt: 2:   12 Real Number Additive Inverses or Negatives
298.    wt: 2:   8 Coordinates for Maps and Planes
299.    wt: 2:   7 Real Numbers as Line Cordinates
300.    wt: 2:   6 Unsigned Real Numbers
301.    wt: 2:   5 Rational Numbers More
302.    wt: 2:   4 Rational Numbers
303.    wt: 2:   3 Fractions
304.    wt: 2:   3 Geometric Formulas and Function Notation
305.    wt: 2:   1 Formulas Dependence and Function Notation
306.    wt: 2:   3 GE III Equation Addition and Multiplication
307.    wt: 2:   Skill Development Notes
308.    wt: 2:   10 One Example
309.    wt: 2:   9 Three Examples
310.    wt: 2:   8 One Example
311.    wt: 2:   7 Two Examples
312.    wt: 2:   5 Three Examples
313.    wt: 2:   4 Two Examples
314.    wt: 2:   3 Two Examples
315.    wt: 2:   2 Three Examples
316.    wt: 2:   5 Talking about Numbers and Quantities
317.    wt: 2:   4 A Brief Story of numbers and algebra
318.    wt: 2:   016 Numbering Occidental Calendar Days
319.    wt: 2:   015 School and work day counting tables
320.    wt: 2:   011 Division of Time Intervals By Numbers
321.    wt: 2:   010 Repeated Addition of Time Intervals
322.    wt: 2:   9 Comparison and Subtraction of Time Intervals
323.    wt: 2:   8 Addition of Time Intervals via subtotaling
324.    wt: 2:   7 Addition of Time Intervals
325.    wt: 2:   4 Mixing and Changing Units of Time
326.    wt: 2:   3 Units and Lengths of Time
327.    wt: 2:   2 Time and Date Matters in School
328.    wt: 2:   1 Intro of Kids To Time Date Skills
329.    wt: 2:   Example 1. Area Between x and x squared
330.    wt: 2:   38 Formulas and derivatives for powers and roots
331.    wt: 2:   13 Limits with Parameters and Derivatives Take II
332.    wt: 2:   12 Limits with Parameters and Derivatives Take I
333.    wt: 2:   9 Limits Continuity and Composition
334.    wt: 2:   5 Jumps and absence of unlimited error control
335.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
336.    wt: 2:   Chapter 20 Vectors and Complex Numbers
337.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
338.    wt: 2:   Appendix E. How To Study Mathematics and Why
339.    wt: 2:   Appendix D. What to do in School and Why
340.    wt: 2:   Chapter 31 Direct and Indirect Reason
341.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
342.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
343.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
344.    wt: 2:   Chapter 22. Geometric Sums and Sequences
345.    wt: 2:   Chapter 20. Degrees and Radians
346.    wt: 2:   Chapter 19. Functions and Sets
347.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
348.    wt: 2:   Chapter 12. Shorthand Usage Guide
349.    wt: 2:   Chapter 11. Why Shorthand
350.    wt: 2:   Chapter 10 Describing and Changing Calculations
351.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
352.    wt: 2:   Chapter 8 Three Skills For Algebra
353.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
354.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
355.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
356.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
357.    wt: 2:   R Why Learn Mathematics Skills
358.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
359.    wt: 2:   O On Learning Mathematics and Science
360.    wt: 2:   L Skills with take home value
361.    wt: 2:   N Improving Marks on Tests and Finals
362.    wt: 2:   J. More on written work and showing skill
363.    wt: 2:   H Jigsaw puzzles and problem solving
364.    wt: 2:   G. Written work formats for developing and showing skill
365.    wt: 2:   E. When and how to correct errors
366.    wt: 1:   Appendix 1 primary and preschool mathematic
367.    wt: 1:   G LAMP Introduction Problem Solving Skills
368.    wt: 1:   B LAMP Introduction Curriculum Development Standards
369.    wt: 1:   Skills Chapter 5 Calculus
370.    wt: 1:   Skills Chapter 4 Logic
371.    wt: 1:   Skills Chapter 3 Algebra
372.    wt: 1:   Skills Chapter 2 Geometry
373.    wt: 1:   Skills Chapter 1 Arithmetic
374.    wt: 1:   Skills Chapter 0 Introduction
375.    wt: 1:   7 logic review and decimals an odd combination
376.    wt: 1:   5 logarithms and exponentials etc
377.    wt: 1:   2 arithmetic with signed numbers
378.    wt: 1:   1 arithmetic with unsigned numbers
379.    wt: 1:   key notes and themes
380.    wt: 1:   what should be learnt and When
381.    wt: 1:   standards for course material
382.    wt: 1:   Theory of Knowledge
383.    wt: 1:   Education in mathematics science and technology
384.    wt: 1:   Motivation and Context Problem
385.    wt: 1:   fairness and inductive principles for instruction
386.    wt: 1:   Home Tutoring and Home Schooling
387.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
388.    wt: 1:   24 Standards For Skill Develoment Take II
389.    wt: 1:   24 Standards For Skill Develoment
390.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
391.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
392.    wt: 1:   17 Math Booklets for children and young teenagers
393.    wt: 1:   14 Multiplication and Times Tables
394.    wt: 1:   12 Goals and Objectives For Mathematics
395.    wt: 1:   11 Help and Defend Your Child or Teens Education
396.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
397.    wt: 1:   5 Patience Please for Yourself and Your Charges
398.    wt: 1:   4 Learning Takes Time and Effort
399.    wt: 1:   1 Speaking Skills
400.    wt: 1:   Ages 12 to 14 Geometry
401.    wt: 1:   Ages 12 to 14 Arithmetic
402.    wt: 1:   Ages 10 to 12 Geometry
403.    wt: 1:   Ages 10 to 12 Arithmetic
404.    wt: 1:   Ages 9 to 10
405.    wt: 1:   Ages 8 to 9
406.    wt: 1:   Ages 7 to 8
407.    wt: 1:   Ages 6 to 7
408.    wt: 1:   Ages 4 plus to 5 plus
409.    wt: 1:   Ages 3 plus to 4 plus
410.    wt: 1:   26 Function definitions done and coming
411.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
412.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
413.    wt: 1:   19 Horizontal line rule and method
414.    wt: 1:   18 Vertical Line Rule and Method
415.    wt: 1:   17 Function maxima minima and their location
416.    wt: 1:   11 Function Domain Range Source and Targets
417.    wt: 1:   9 Set theory term relation possible origins
418.    wt: 1:   8 Set view of relations and functions
419.    wt: 1:   6 Set Existence Formation and Notation
420.    wt: 1:   4 Function notation in and beyond mathematics
421.    wt: 1:   9 quadratics physical and further context
422.    wt: 1:   11 Growth and Decay in Biology
423.    wt: 1:   10 Exponential Growth and Decay Models
424.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
425.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
426.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
427.    wt: 1:   3 Polynomials Multiplication Addition
428.    wt: 1:   16 cotangent function Definition Graph and Inverse
429.    wt: 1:   15 cosecant function Definition Graph and Inverse
430.    wt: 1:   14 secant function Definition Graph and Inverse
431.    wt: 1:   13 cosecant function Definition Graph and Inverse
432.    wt: 1:   8 Radian Measures of Common Angles
433.    wt: 1:   7 Radian Measures in special Triangles
434.    wt: 1:   6 Radian Measure to Degrees
435.    wt: 1:   5 Degrees to Radian Measure
436.    wt: 1:   4 Circle Sector Area proportional to Central Angle
437.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
438.    wt: 1:   2 Radian Measure Numerical Value of one degree
439.    wt: 1:   A Global Time and Navigation
440.    wt: 1:   15 Dot and Cross Product
441.    wt: 1:   10 Parallelogram Addition Method
442.    wt: 1:   5 Head To Tail Arrow Addition
443.    wt: 1:   4 graphing y=Asin(x c)
444.    wt: 1:   3 graphing y=f(x c) plus K
445.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
446.    wt: 1:   1 graphing y=f(x a)
447.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
448.    wt: 1:   Triangle Angles Sum To 180 Degrees
449.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
450.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
451.    wt: 1:   Straight Lines ASA Intersection Study More
452.    wt: 1:   Straight Lines ASA Intersection Study
453.    wt: 1:   Straight Lines Instersection Solving Equations
454.    wt: 1:   Straight Lines Intersection of
455.    wt: 1:   D Straight Lines Slope from Coordinates Examples
456.    wt: 1:   C Straight Lines Slope from Coordinates
457.    wt: 1:   B Straight Line Slope Scaling Properties More
458.    wt: 1:   A Straight Line Slope Scaling Properties
459.    wt: 1:   14 Straight Lines Equations General Case
460.    wt: 1:   13 Straight Lines Finding Equations from 2 points
461.    wt: 1:   12 Straight Lines Graphing mx plus b
462.    wt: 1:   11 Straight Lines Graphing y=mx
463.    wt: 1:   10 Straight Lines through Origin Equations More
464.    wt: 1:   9 Straight Lines through Origin Equations
465.    wt: 1:   8 Straight Lines Equation for vertical
466.    wt: 1:   7 Tangent Function is odd on this domain
467.    wt: 1:   6 Tangent Function Inclination Angle Take 2
468.    wt: 1:   5 Tangent Function Graph
469.    wt: 1:   4 Tangent Function Properties
470.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
471.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
472.    wt: 1:   1 Straight Lines Slope Concept
473.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
474.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
475.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
476.    wt: 1:   29 secant cosecant and cotangent for acute angles
477.    wt: 1:   27 Logarithmic use of products of sines and cosines
478.    wt: 1:   26 Formulas for products of sines and cosines
479.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
480.    wt: 1:   21 sine and cosine Half Angle Formulas
481.    wt: 1:   20 sine and cosine Double Angle Formulas
482.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
483.    wt: 1:   17E Trig Formulas for dot and cross Products
484.    wt: 1:   17D cis formulas for sine cosines and tangent
485.    wt: 1:   17C sine and cosine double triple angle formulas
486.    wt: 1:   17A The complex number valued trig function cis
487.    wt: 1:   10 Graphs of sines and cosines many periods
488.    wt: 1:   9 Graphs of sine and cosine over one period
489.    wt: 1:   7 period of sine and cosine
490.    wt: 1:   6 sines and cosines for reference angle 30 degrees
491.    wt: 1:   5 sines and cosines for reference angle 60 degrees
492.    wt: 1:   4 sines and cosines for reference angle 45 degrees
493.    wt: 1:   3 sines and cosines for reference angle 90 degrees
494.    wt: 1:   Right Triangle and Unit Circle Trigonometry
495.    wt: 1:   19 N th Roots of Unity
496.    wt: 1:   18 Sixth Roots of Unity
497.    wt: 1:   17 Cube Roots of unity
498.    wt: 1:   15 Pythagorean Theorem Converse
499.    wt: 1:   14 Law of cosines
500.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
501.    wt: 1:   8 Unit Circle Development of Trigonometry
502.    wt: 1:   7 Second Way to Calculate Products
503.    wt: 1:   5 An Easy Proof of the Distributive Law
504.    wt: 1:   4 Multiplication Properties
505.    wt: 1:   1 Rectangular Polar Coordinates Review
506.    wt: 1:   8 Triangles Cascade Problem Solving
507.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
508.    wt: 1:   1 Angle Measurement with Degrees
509.    wt: 1:   Why Trigonometry the whyslopes view
510.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
511.    wt: 1:   8 Similarity of Triangles and Polygons
512.    wt: 1:   5 Similarity of Circles Squares and Rectangles
513.    wt: 1:   Four Simple Exercises
514.    wt: 1:   12 Links Lessons elsewhere
515.    wt: 1:   11 A Partial Summary
516.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
517.    wt: 1:   8 Mid Point Formula
518.    wt: 1:   5 Algebraic View of Slopes
519.    wt: 1:   4 Equations for lines three forms
520.    wt: 1:   3 Slope product for perpendicular lines
521.    wt: 1:   2 point slope equation for a line
522.    wt: 1:   13 Pythagorean spatial distance formulas
523.    wt: 1:   12 Spatial Coordinates
524.    wt: 1:   11 Triangle Inequality
525.    wt: 1:   10 Pythagorean plane distance formula
526.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
527.    wt: 1:   8 Distance Between Points on a Line
528.    wt: 1:   3 Rectangular Coordinates Review
529.    wt: 1:   2 Cartesian Coordinates with signs
530.    wt: 1:   1 Cartesian Coordinates sans signs
531.    wt: 1:   Euclidean Geometry Elsewhere LINKS
532.    wt: 1:   PS E Multiplication with Polar Coordinates
533.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
534.    wt: 1:   PS B Parallelogram Construction Methods
535.    wt: 1:   PS A Kite Construction Methods
536.    wt: 1:   21 Parallelograms
537.    wt: 1:   19 Right Triangle Similarity
538.    wt: 1:   18 Triangle Similarity Take 1
539.    wt: 1:   17 Right Bisectors of Triangle Sides
540.    wt: 1:   15 Triangle Angle Sum is 180 degrees
541.    wt: 1:   14 Parallel Lines Postulate
542.    wt: 1:   13 Angle Side Angle Failure
543.    wt: 1:   12 Side Angle Side Failure
544.    wt: 1:   11 Triangle Construction Fails
545.    wt: 1:   10 Dropping a perpendicular to line
546.    wt: 1:   9 Construction of a right bisector
547.    wt: 1:   8 Isoceles Triangles
548.    wt: 1:   7 Angle Side Angle
549.    wt: 1:   5 Side Angle Side
550.    wt: 1:   4 Side Side Side
551.    wt: 1:   3 Isometry of Triangles Congruence
552.    wt: 1:   2 Correspondence between Triangles
553.    wt: 1:   Short Course on Euclidean Geometry
554.    wt: 1:   26 More Less Greater Than Comparison
555.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
556.    wt: 1:   23 Distributive Law Two Derivations
557.    wt: 1:   19 Signed Multiples of Vectors
558.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
559.    wt: 1:   16 Collinear Horizontal Arrows Vectors
560.    wt: 1:   9 Division with Digits after Decimal Point
561.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
562.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
563.    wt: 1:   3 Location of Point in Decimal Multiplication
564.    wt: 1:   2 Counting Digits in Decimal Multiplication
565.    wt: 1:   E Long Division Methods more
566.    wt: 1:   D Long Division Methods
567.    wt: 1:   C Three Decimal Subtraction Methods
568.    wt: 1:   8 Column Multiplication Methods in General
569.    wt: 1:   7 Decimals Multiplication Methods Examples
570.    wt: 1:   4 Commutative Law Groups Counting Form
571.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
572.    wt: 1:   3 Proportionality Examples
573.    wt: 1:   2 Algebraic View
574.    wt: 1:   1 What is Proportionality
575.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
576.    wt: 1:   6 Compound Interest Forward and Backwards
577.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
578.    wt: 1:   5 Equality in Algebra
579.    wt: 1:   3 Product Axioms Two Forms
580.    wt: 1:   1 Equivalent Computation Rules
581.    wt: 1:   5 Greater More Less Than Signs in General
582.    wt: 1:   9 Coordinates for Regions in Space
583.    wt: 1:   2 Integers
584.    wt: 1:   5 Independent versus Dependent Variables
585.    wt: 1:   4 Changing Letters
586.    wt: 1:   2 Computation Rules Evaluation
587.    wt: 1:   6 Algebraic Solution Example
588.    wt: 1:   4 Four Examples Fractional Coefficients
589.    wt: 1:   1 Written work formats for developing and showing skill
590.    wt: 1:   9 Sets in Probability and Statistics
591.    wt: 1:   8 Sets of Numbers
592.    wt: 1:   1 Three Skills For Algebra
593.    wt: 1:   014 Counting Days with Calendars
594.    wt: 1:   013 Travel Time Tables
595.    wt: 1:   012 Division of Time Intervals by Time Intervals
596.    wt: 1:   6 How long is a million seconds
597.    wt: 1:   5 Conversion Arithmetic
598.    wt: 1:   Example 2 volume of a cone
599.    wt: 1:   Example 1 volume of a pyramid
600.    wt: 1:   Volume of Solid by Cross Sections Lesson
601.    wt: 1:   Area Between Crossing Curves Lesson Take 2
602.    wt: 1:   Area Between Crossing Curves Lesson Take 1
603.    wt: 1:   Example 4 with x function of y
604.    wt: 1:   Example 3
605.    wt: 1:   Example 2
606.    wt: 1:   Example 1
607.    wt: 1:   Area Between Curves Lesson Take 2
608.    wt: 1:   Area Between Curves Lesson Take 1
609.    wt: 1:   Summary
610.    wt: 1:   17 Derivatives of quotients of sine and cosine
611.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
612.    wt: 1:   15 sine and cosine derivatives 3rd step
613.    wt: 1:   14 sine and cosine derivatives 2nd step
614.    wt: 1:   13 sine and cosine derivatives 1st step
615.    wt: 1:   11 Limits at infinity Three Examples
616.    wt: 1:   10 Three one sided limits with infinite values
617.    wt: 1:   8 Four Animated Examples
618.    wt: 1:   7 Evaluation by immediate or delayed substitution
619.    wt: 1:   6 Continuity at a point
620.    wt: 1:   4 Numerical properties
621.    wt: 1:   3 Decimal insights for limits continuity convergence
622.    wt: 1:   2 Algebraic codification
623.    wt: 1:   1 Numerical introduction
624.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
625.    wt: 1:   PostScript For and Against Decimal Perspectives
626.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
627.    wt: 1:   Chapter 22 Complex Numbers
628.    wt: 1:   Chapter 21 Arrow Addition
629.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
630.    wt: 1:   Chapter 12. Units and Slopes
631.    wt: 1:   Chapter 10 Slopes and Units
632.    wt: 1:   Chapter 7 Slopes and Velocity
633.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
634.    wt: 1:   Chapter 2. Slopes and Ski Trails
635.    wt: 1:   Postscript More on Better Performance
636.    wt: 1:   Postscript For Better Performance
637.    wt: 1:   Appendix C. How to Read
638.    wt: 1:   Appendix B. How To Learn
639.    wt: 1:   Appendix A. Reading Guide For Next Appendices
640.    wt: 1:   Chapter 30 Truth Tables
641.    wt: 1:   Chapter 28 Occurrence Tables
642.    wt: 1:   Chapter 26 What is in chapters 27 to 31
643.    wt: 1:   Chapter 25. Mathematical Induction Examples
644.    wt: 1:   Chapter 25. Mathematical Induction Examples
645.    wt: 1:   Chapter 23. Notation For Sums
646.    wt: 1:   Chapter 21. Third Reading Guide
647.    wt: 1:   Chapter 18. Rules for Algebra
648.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
649.    wt: 1:   Chapter 16. Painless Theorem Proving
650.    wt: 1:   Chapter 15. Solving Linear Equations
651.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
652.    wt: 1:   Chapter 13. Second Reading Guide
653.    wt: 1:   Postscript What is a Variable
654.    wt: 1:   Solutions For Arithmetic Exercises
655.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
656.    wt: 1:   Chapter 6 Change of Language
657.    wt: 1:   Chapter 4 Longer Chains of Reason
658.    wt: 1:   Chapter 3 Chains of Reason
659.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
660.    wt: 1:   Foreword
661.    wt: 1:   Chapter 2 For and Against Mathematics
662.    wt: 1:   Postscript B More on Story Telling and Reason
663.    wt: 1:   Chapter 24 Direct and Indirect Reason
664.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
665.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
666.    wt: 1:   Chapter 18 Sense and Knowledge
667.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
668.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
669.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
670.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
671.    wt: 1:   S Adding words to algebra
672.    wt: 1:   N Mathematics Prepare for College Studies
673.    wt: 1:   M Words to extend arithmetic
674.    wt: 1:   H more Routine to non routine problem solving
675.    wt: 1:   F. The student teacher tutor feedback loop
676.    wt: 1:   D. Check work a must with a caution
677.    wt: 1:   C. Domino effect of being careful
678.    wt: 1:   B. Domino effect of errors
679.    wt: 1:   A. Skill has to be seen to believed
680.    wt: 1:   Helping the Blind in Logic and Mathematics
681.    wt: 1:   More Algebra and Slope based Calculus Preview
682.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
683.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
684.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
685.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
686.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
687.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
688.    wt: 12:   B Fractions and Two Term Ratios
689.    wt: 12:   A Similarities between Fractions and Two Term Ratios
690.    wt: 12:   9 Improper Fractions and Mixed Numbers
691.    wt: 11:   21 Reciprocals for Fractions and Wholes
692.    wt: 11:   17 Efficient Ways to Add and Subtract
693.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
694.    wt: 10:   D Three Term Ratios
695.    wt: 10:   22 Complex Compound Fractions
696.    wt: 10:   20 Dividing Fractions the Why
697.    wt: 10:   19 Dividing Fractions How TO
698.    wt: 10:   18 Efficient Ways to Multiply
699.    wt: 10:   16 Addition Subtraction Comparision Compared
700.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
701.    wt: 10:   14 Adding and Subtracting with Like Denominators
702.    wt: 10:   5 Equivalent Fractions

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