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YOU are better than YOU think. Show yourself how:
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On the phone with a classmate or tutor,
or twiddla or
groupboard to write &
draw with each other on art, math & science etc.
Logic
Mastery
Amazing, Amusing, Amorous, Delicious, Delightful, Edifying,
Strengthening Elixir.
It eases work & learning difficulties Makes the hard easier. Opens eyes.
Leads to greater precision.
in reading and
writing
Do not leave here without it - Logic
mastery will develops critical thinking, improve reading and writing,
and give a firmer base for work and studies at many levels. Good luck.
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Caution: Site advice is approximately
correct, for some circumstances, not all. Site How-TOs are logically
developed, but not tried and tested. That leaves room for thought and
refinement.. |
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After logic,
(a) continue reading Three
Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving
linear2007 Equations ; or (b) see this calculus
starter lesson and Volume 3, Why
Slopes & More Math, chapters 2 to 6;
For online automated help in senior high school maths & calculus,
visit quickmath.com For Automatic
Calculus and Algebra Help with derivatives, integrals, graphs, linear equations,
matrix algebra, visit calc101.com
With overlap, each site quickmath
& calc101offers a different range of
services, some free, some not, all based on webmathematica. Good luck.
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Links
Top Study Geometry:
Seven Interactive (step by steps) online proofs of (1) vertically opposite
angles are equal, (2) Sum of angles in a triangle = 180 degrees (3) equality
of angles at base of an isosceles triangle ..
TopStudy More Geometry
More Seven More Interactive (step by steps) online proofs
Top Study MATH Link
Visit here for Arc, Area and Volume Calculation (Mensuration) formulas
Purplemath
modules (algebra
lessons) give practical tips, hints,
and examples, and point out common mistakes. They are cross-referenced to
each other, to help you find related material. Purple math
material in algebra complements this site material. Explore both sites.
More Links
Links below lead to
webpages with exercises or with explanations for arithmetic with fractions and
further numbers.
-
Visit learning
wave fractions front page to see the mechanics of computations with
fractions (explanations why were light or absent when I looked).
-
Explore the Math
League Help Topics
|| Whole
numbers & their basic properties || Decimals,
whole numbers & exponents || Using
data and statistics || Fractions
|| Geometry
|| Ratio and
proportion || Percent
and probability || Integers
|| Metric units
& measurement || Introduction
to algebra || Positive
& negative numbers ||
for a better command of arithmetic with whole numbers,
fractions and so on.
-
Visual
Fractions An on-line tutorial offers instruction and practice in identifying,
renaming, and operating on fractions. All examples are modeled with number lines or circles.
-
aaamath
- math topics here offers more help in basic arithmetic
-
Math Forum: Teacher2Teacher FAQ: Fraction Help
-
Math Forum: How do I find points on a number line?
What is a Negative Number? How do I graph points in the coordinate plane?
-
isit learning
wave fractions front page to see the mechanics of computations with
fractions (explanations why were light or absent when I looked).
-
Explore the Math
League Help Topics
|| Whole
numbers & their basic properties || Decimals,
whole numbers & exponents || Using
data and statistics || Fractions
|| Geometry
|| Ratio and
proportion || Percent
and probability || Integers
|| Metric units
& measurement || Introduction
to algebra || Positive
& negative numbers ||
for a better command of arithmetic with whole numbers,
fractions and so on.
-
Visual
Fractions An on-line tutorial offers instruction and practice in identifying,
renaming, and operating on fractions. All examples are modeled with number lines or circles.
-
aaamath
- math topics here offers more help in basic arithmetic
-
Math Forum: Teacher2Teacher FAQ: Fraction Help
-
Math Forum: How do I find points on a number line?
What is a Negative Number? How do I graph points in the coordinate plane?
| |
www.whyslopes.com
Fractions, Ratios, Units, Rates
& Proportionality
Fraction
Starter Lesson
(simplify, multiply, divide & then add or subtract)
An Alternative Starter
Lesson
(take your pick, or try both)
Area Intro Fraction Starter Lesson A Fraction Starter Lesson B 1 What is a Fraction 2 Multiplication I 3 Multiplication II 4 Multiplication III 5 Equivalent Fractions 6. Mixed Numbers 7 Comparison 8 Addition I 9 Addition II 10 Addition III 11 Multiplication IV 12 Division 13 Two Term Ratios 14 Implied Ratios 15 Multiple Ratios 16 Units in Arithmetic 16 Longer Explanation 16 Change Units 16 Products of Quantities 16. Fractions with Units 16. Division+Reciprocals 17 Proportionality 17 Examples 18 Rates & Slopes EGs 18 Constant Rate 18 Varying Rate 18 Velocity Calc., EGs 18 Changing Units 18 Slopes and Units 18 Slopes, No Units 19 RealPlayer Videos Links
Arithmetic Videos - Real Player Format
Decimal Addition
Methods
Decimal
Subtraction Methods
Decimal
Multiplication Methods
Decimal Division
Methods
Fractions
Primes
Greatest Common
Divisors
Least Common Multiples
Square Root
Simplification
Area Content Summary
- Fraction Starter Lesson
- Real Player Videos on Operations with Primes and
Fractions
- Continuous Ruler & Line Segment
model for fractions and operations on fractions - Number Theory Area
points to the general model.
- Distinction between Ratios and Fractions, a nuance:
While binary ratios a:b may be identified with a fraction, triple
ratios a:b:c and further multiple ratios cannot.
- Saying how to add and subtract like monomials in
units and their powers, and saying how multiply and divide like and
unlike monomials leads to fraction like expressions involving units
and a framework for discussion rates - ratios of quantities - a
framework for handling proportionality constants, and framework for
carrying units through calculation in quantitative disciplines
Hint: See site area on solving linear equations to strengthen
fraction sense and algebra skills together. Good luck.
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