Three Skills
For
Algebra
Volume 2
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Chapters and Appendices
Book Entrance
Addition with Decimals
Subtraction with Decimals
Multiplication with Decimals
Fraction Arithmetic
Recognizing Primes
Long Division for Decimals
Square Root Simplification
Greatest Common Divisors
Least Common Multiples
Foreword
1. Introduction
2. Implication Rules [4]
3. Chains of Reason [3]
4. Induction Mathematical
4. Romeo and Juliet
6 Old Language
5 Knowledge Islands [2]
7 Arith Skill Check [4 X 2]
Arith Webvideos
7. The Next Chapters
8 The Three Skills
8 VNR-Concise-Encyclopedia
PS. What is a Variable [8]
9. Algebra Talk [7]
10 Two More Skills[5]
11 Why Shorthand
12 Shorthand Usage [10]
13 What's Next
PS: The 4-th Skill For Algebra
14 Compound Interest [6]
15 Linear Equations [5]
16 Painless Proofs
17 Pythagoras
PS I. Distributive Law
PS II. Polynomials
18 Rules of Algebra [20]
19 Functions & Sets
20 Degrees & Radians
21 What's Next
22. Arith & Geometric Sums [2]
23 Summation Notation
24 Your Money [3]
25 Induction & Recursion [4]
26 What's Next
27 Pronouns in Logic
28 Occurrence Tables
29 Contrapositive
30 Truth Tables
31 Indirect Reason
Pathways for Learning
Would you like to show yourself or others how to be algebra
power users?
What is a Variable?
Introduction
Variation between Examples
Variation of Letters
A letter denotes a variable
Cases of Double Variation
Three Notions of a Variable
Constants, Parameters
& Variables
Talking about numbers
Dependent
or Independent
Variable, a Matter of Choice
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- [Play
Video] 2 minutes. Explaining and Justifying Decimal Column
Method for Subtraction, when digits subtracted are
smaller than those above them.
- [Play
Video] 3 ¼ minutes. Subtraction with all digits
being beneath zeros. Here is the Shop Keeper's
Method for giving change when paid with bills.
- [Play
Video] 3 minutes. A new Subtraction
Method with two steps, where the second step
involves a second subtraction with all digits being
beneath zeros, and the digits subtracted are not always
smaller than those above them.
- [Play
Video] 5¼ Two Examples of the new Subtraction Method,
one short, one long.
- [Play
Video] 2½ minutes. Example of the new Subtraction with
mixed units of time, seconds, minutes, hours and days.
- [Play
Video] 5. Minutes, The Old Borrowing Method. A
cleaner way to record borrows, a way that avoids
crossing-outs.
- [Play
Video] 4½ minutes. A variation of Old Borrowing
Method for Subtraction - for better or worse.. Explanation of
how conversion of tens into ones justifies borrows. Two Examples
are given.
- [Play
Video] 2¾ minutes - A variation of Old Borrowing
Method for Subtraction - two more examples.
- [Play
Video] 1½ minutes. Example of Borrows with units of
time to explain further the borrow or unit conversion process.
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More Videos: [ Up ] [ Addition with Decimals ] [ Subtraction with Decimals ] [ Multiplication with Decimals ] [ Fraction Arithmetic ] [ Recognizing Primes ] [ Long Division for Decimals ] [ Square Root Simplification ] [ Greatest Common Divisors ] [ Least Common Multiples ]
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www.whyslopes.com
site
search
Parents: Help
your Child/Teen Learn covers Speaking
Skills, Reading
& Writing,
Preparing for Science &
Having Patience, etc
Math How-TOs
1. Arithmetic
2. Algebra
3. More
Algebra 4. Geometry
5 More
Geometry 6. Calculus
>> densely written
>> use as skill checklists
Online Volumes (orders)
1, Elements of Reason.
1996
1A. Pattern Based
Reason 1995
1B. Math
Curriculum Notes 1996
2. Three
Skills for Algebra 1995
3 .Why.Slopes.&.More.Math.1995
Skill &
Concept
Review or Development
1. Decimal
Arith - Video Based ]
2 Fractions
3. Fractions
with Units
3. Solving
Linear Equations -
making alg easier
4. Formulas
forwards & Backwards - unifying theme for Algebra
5. Proportionality,
Back- & For-wards - theme at work.
6. Logic
- Math Free, good for precision in work & studies
7. Euclidean-Geometry
(leanly)
8. Slopes
and Lines
9. Why
Study Slopes - a context
10. Quadratics
11 Polynomials
12 Factored
Polys - a context
13 Functions
- For-& Back -wards
14 Number Theory,
Richly
15. Exponents, Radicals
& logs.
16 Calculus
- Examples & Advice
17. Real
Analysis
18 Electric
Circuits Etc (So So)
19 Maps,
Similarity & Trig, (alt view)
20 Complex
numbers
21
Logic with Symbols+truth tables
22 Consistent
Story Telling
23. Even
More Logic
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