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.
More Algebra Hints
Description: This lesson summaries the properties of straight lines, their slope, equations, and the slopes of perpendicular or parallel lines
5. Straight Lines
| slope m = | Dy
Dx |
= | y2-y1
x2-x1 |
= | rise
run |
Two points are usually needed to compute the slope. For a straight line segment, the slope m is a constant of proportionality between Dy = y-y1 and Dx = x-x1. The change Dy in y is proportional to the change in Dx in x.
The point-slope form of equation for a line y-y1 = m·(x-x1) implies y = y1+m·(x-x1). In the case [x1, y1] = [0, b] is the y-intercept, equation y = y1+m·(x-x1) becomes the slope intercept form of equation for a line y = b +m·x or y = m·x + b. In answering questions, rewrite any equation you obtain for a non-vertical line into a slope intercept equation. After an equation of a line is written or given in form y = m·x + b, the coefficient of x gives m and the constant term b is the y-intercept, that is the value of y when x = 0.
Graphing: Two points are usually needed to draw a straight line. Use the x- and y- intercepts if the line does not pass through the origin. For best results (greatest accuracy) in drawing a line, take two points far apart. One point is enough is the line is horizontal or vertical. Label the horizontal and vertical axises with their names and coordinates.
If L has nonzero slope m=m1 and a line K perpendicular to L has slope m2 then -1= m1·m2 . Thus m2 = -1/m1 = negative reciprocal of m1. When slope m1 of L is known, it can be used to compute the slope m2 of K without being given two points on the line K.
To find the intersection point of a line y = m1x + b1 and y = m2x + b2 , solve the equation m1x + b1 = m2x + b2 for x and then compute y.
Algebra, Odds& Ends,
Etc, Etc
[ Back ] [ Up ] [ Next ]
1. Hints for Exams 2A. Exact Arithmetic 2B. Fractions Briefly 3. What is a Variable? 4.. Square Roots 5. Straight Lines 6. Problem Solving Methods 7. Trig and Complex No. 8. Complex Applet 9. History of No.s 10. ln(x) and exp(x) 13. Rename the > Sign 14. Problems: Quadratics 15. Problems: Algebra Test 16. Problems: Linear Eqns I 17. Problems: Linear Eqns II 18. Problem Solving Hints 19. Functions & Sets 20. Independent Variables 21. Why Logic 22. Why Math 23. The 15 Times Table 24. The 20 Times Table 25. Algebra Formulas 26. On Learning Maths 27. Maths in Biology 28. Navigation +Time 29 Quibble-What is Algebra 30. Logic in Maths
Odd and Ends, Essays
Constant Retirement Rate Road Safety 3 Strikes Law in California. Math HOW-TOs 9 Steps in Maths
Study With Others: twiddla.com has developed a collaborative whiteboard with audio & text chat that allows students, tutors & teachers to explore & scribble on blank pages and copies of webpages together, If scribbling is awkward with one browser, try another.
In Volume 2, Three Skills for Algebra, Chapters 8 to 14 and postscript What is a Variable point to a greater & clear use of words in algebra. Chapter 14 introduces a 4th skill for algebra, an elaboration of the third: - The direct and indirect use of formulas, numerically and algebraically, is unifying theme that should be mentioned aloud, with words, in each and every use of formula.