YOU are better than YOU think. Show yourself how:
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Read logic
chapters 1 to 5 in online volume Three
Skills for Algebra for greater skills & confidence
in work |
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Logic chapters 1 to 5 re- appear not in sequence, as is or longer, in Volume 1A, Pattern Based Reason, Bon Appetite.
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
Logic mastery makes the hard, easier. Logic mastery leads to better, stronger and richer comprehension. Logic mastery improves reading and writing. Logic mastery ease learning difficulties. Logic mastery gives a headstart. In sum, logic mastery will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck.
After logic, (a) continue reading Three Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving liinear Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes & More Math, chapters 2 to 6;
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Caution: Site advice is approximately correct, for some circumstances, not all. That leaves room for thought |
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What may be learnt and when depends on how skills and concepts are developed. Making the hard easier and clearer will allow earlier & richer development of skills and concepts.
Try the Twiddla
Whiteboard. In principle, it allows
to people to draw and chat together online on a copy of this webpage or a clean
sheet. The chat may be via text or audio. Visit www.twiddla.com
to set up whiteboards to work with the webpage of your choice.
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.
4. Horizontal Arrows or Vectors - Directed Line Segments in the Line
Geometric View
Addition - Displacement, Head to Tail
Directed Line Segments which are placed head to tail, one after another, may be added using the head to tail vector addition method.
Isometry and Direction Preservation Assumption: A translation of an in-place head to tail addition of vectors and the resultant vectors in a line yields image vectors in one-to-one correspondence with the the vectors in the sum and the resultant such that corresponding vectors have the same length and direction.
5. A Rotation which keeps length but reverse's direction
6. Addition of Vectors is Commutative
7. Describing Vectors as multiples of a given unit length
Description or measurement of direction and length for directed line segments using a unit length or arrow, and numbers prefixed with a negative sign
The positive sign + is optional in front of unsigned numbers.
Measurement Assumption: For each horizontal non-zero vector k, our unit vector perhaps, and each horizontal vector v, that is a unique real number m > 0 such that v = m k or v = -m k, but not both unless m = 0. We further assume a vector v and all its horizontal translations have the same length m (are the same multiple m of the length of k.)
Further Assumption: The length and direction of a directed line segment is determined by its coordinates with respect to a unit vector.
www.whyslopes.com
Number TheoryStart of Number Theory
Origins of Counting or Tallying
Adding Wholes
Multipling Wholes
Distributive Law Preamble
Distributive Law for Wholes
Consequences
More Consequences
What is a Fraction
Compound Fractions Number Theory
Continued
Decimal Place Value Comparison Method Addition Method Subtraction Methods Multiplication Methods Division Methods Remainder Arithmetic I Primes & Composites Primes Factorization Primes & Composites Prime Factorization Aids Prime Factorization Examples Counting Whole No. Factors Arithmetic Videos Square Roots Fractions & Decimals Fractions as Decimals 1 = 0.999 Recurring Long Division Continued Ratio of Simple Fractions Ratio of Decimal Fractions Unsigned Reals Numbers Signed Coordinates Plane Vectors Horizontal Vectors How to Add Reals How to Multiply Reals Distributive Law for Reals Remainder Arithmetic II
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