Check List (Math etc)

www.whyslopes.com Appetizers and Lessons for Mathematics and Reason Calculus and Preparation for Calculus Etc.
Online Volumes (Book Orders) 1, Elements of Reason. 1A. Pattern Based Reason 1B. Math Curriculum Notes 2. Three Skills for Algebra 3. Why Slopes & More Math Mathematics Course Designers: LAMP offers food for thought.	More Site Areas 1. Help Your Child/ Teen Learn 2. Solving Linear Equations 3. Fractions Ratios Rates Proportions, Units 4. Euclidean Geometry 5. Analytic Geometry/Functions 6. Number Theory. 7. More Calculus	More Site Areas 8. Complex Numbers 9. Qc Maths Education 10. Secondary IV(?) maths 11. Real Analysis 12. LaTeX2HotEqn: 13. Electric Circuits Etc 14. Français 15. Algebra, Odds & Ends, Etc	More Site Areas 16. Math Education Essays 17. Telling & Tracking Time 18. Maps, Plans & Drawings 19. Quantitative Skills for home and work, etc, etc 20. Statistics . ** Means Under-construction. Test the Twiddla Whiteboard
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Skill and Knowledge Checklist
with goals, values and standards to adopt
Identify what to learn to be better than you expect

From algebra to calculus, site appetizers and lessons introducing the shorthand roles of letters and symbols provide clearer and fuller explanations. In or for algebra and beyond, mastery of fractions, roots and powers, what they are, along with an exact, efficient written command of operations on them with proper notation is a must. Add all the foregoing to your goals.

Can you do Arithmetic with whole numbers and fractions efficiently without a calculator? Lack of emphasis on this in high school courses invites in mathematics difficulties beyond arithmetic. . See these arithmetic problems with hints of algebra. If they are too hard, get help - for instance, you could leave this site to explore aaamath. and Purplemath carefully and then return.

Fraction sense (what they are and an efficient command of their addition, multiplication and division) is a must for mathematics even if your high school do not emphasize it in what is therefore substandard instruction. Site pages on fractions need to be rewritten to make them clearer. None the less, follow what you can in them and be sure to master fractions here or elsewhere by yourself or with help.

Have you mastered Euclidean logic? This subject disappeared from mathematics courses due to the vanishing of Euclidean geometry with its theorems and proofs. But it can be mastered apart from mathematics. See Volumes 1A (all) or chapters 1 to 6 in Volume 2 to learn how. Mastery of Euclidean logic leads to precision reading and writing - two musts for school and work - and shows how and when to apply implication rules, one at a time and one after another, to arrive at conclusions directly and indirectly. The math-free treatment here would be a plus for course design in secondary school.

Do you know how to describe numbers and quantities precisely apart from arithmetic and algebra as this topic is new to your teachers. The skill of describing and talking about numbers is an missing in the description or exposition of mathematics. The essay what is a variable and chapters 8 to 12 in Volume 2, Three Skills for Algebra, offer a remedy and then introduce or review the shorthand role of letters in formulas and equations. The rhetorical introduction here to the description of numbers and quantities apart from and then besides the use of letters would be a plus for course design in secondary school.

Do you know how to use formulas directly and indirectly in algebra? Chapter 14 in Volume 2, gives arithmetic and algebraic solutions for problems involving compound growth problems, and in doing so develops another key skill in algebra. The skill is a must for all students high school and college. Chapter 15 goes further and says how to solve linear equations in one and more unknowns. The more part should be rewritten.

Can you visualize complex numbers and connect them to trig and the law of signs? Read this complex no intro and the associated site area to build upon an old way to visualize the square root of -1. The introduction here with rectangular and polar coordinates is useful for engineering and physics, if not mathematics. Students may read this introduction and its variations before or besides trig. The introduction here would be a plus for trig in secondary school. See Site Reviews.

Do you know to make Calculus simpler for your self or others? Site material gives a different starting point for calculus, one that puts the easiest material first. The path gradually develop algebraic skills instead of demanding them suddenly. See this Visual Preview and/or read chapters 2 to 18 in Volume 3 besides other notes or texts in calculus. Calculus Teachers: Make matters easier for your students by following the path and introducing in the first instance, only those limits strictly needed for continuity, derivatives and integrals. Discussion of infinite limits, one-sided limits, and limit evaluation tricks should be a late sideshow in one semester courses. The decimal viewpoint of limits is sufficient for all students outside of advanced mathematical courses and could be a starting point for the decimal free views of limits, continuity and compactness. See Chapter 14 and (?) the appendices in Volume 3. The path shown here would ease or avoid troubles in most calculus courses. See Site Reviews.

Skill and Knowledge Checklist with goals, values and standards to adopt Identify what to learn to be better than you expect

Skill and Knowledge Checklist
with goals, values and standards to adopt
Identify what to learn to be better than you expect