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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. |
Incomplete 5. Polynomials and Operations on them
Four Operations on PolynomialsFor polynomials, site lessons present the following
Together they point to a different approach for understanding and explaining four arithmetic operations on polynomials.
Let mastery of long division with linear or nonlinear factors be your aim. Explore the above lessons alone or with help. And for long division, do the checks. Division with nonlinear factors is optional - not part of the 436 program. LinksVisit www.purplemath.com lessons
to met and master the definition, addition, subtraction, multiplication and division of polynomials in a more traditional approach. Two online perspectives are better than one. Teachers 1. The area view of products - how
multiplication distributes over addition takes 20 minutes. Then you
can introduce multiplication of polynomials via the area approach. Then
introduce and shift to the column method for multiplication of polynomials in
general. That being said, the column method for addition is implicit or
very close to the surface in the column method for multiplication. So column
addition methods for adding polynomials comes next. Finally, the latter is
modified to imply a column method for subtraction. There-in goes two
lesson to cover addition, subtraction and multiplication. Long division
(with checks included) may take a few more lessons. The approach here might be
use in all or part in secondary III (314), secondary IV (416-426-436) and
secondary V (536) mathematics.
Site lessons here offer a different approach for understanding and explaining operations on polynomials. which is still under-construction - present form is sufficient for teachers, but not for students. Teachers: Chapter 3, Slope Sign Analysis, in Volume 3, Why Slopes and More Math , shows how to do sign and zero analysis for factored polynomials, alone or in rational functions. Those examples as is or adapted would improve the algebraic thinking skills of your students - focus of the sign analysis of the expressions in question and not on their role as slopes or derivatives to functions.
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