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YOU are better than YOU think. Show yourself how:
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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 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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-/[]\- 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. |
Sign, Zero and Monotonicity Analysis of (i) graphs of functions and (ii) factored polynomialsHere are a few initial lessons on sign. zero and monotonicity analysis of function in general and polynomials. ..
The aim is develop algebraic reasoning skills and locate zeroes of a product by locating zeroes of the factors of the product. The concept of sign analysis is related. Monoticity is treated in the first example or lesson. Students who have mastered slopes and polynomial factorization should visit the leading chapters of Volume 3, Why Slopes and More Math, to see more examples of sign analysis for polynomials in an introduction to sign analysis of slopes (aka derivatives) in a simpler calculus preview. There-in appears a further discussion or indication of the monoticity of functions - where functions are increasing or decressing, and where maxima and minima (hilltops and valley bottoms). |
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