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1,  Elements of Reason. 1996
1A. Pattern Based Reason  1995
1B. Math Curriculum Notes 1996
2. Three Skills for Algebra  1995
3.
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Site  Folders
1. Arithmetic Videos  11-2008
2.  Algebra Videos (to appear)
3. Solving Linear Equations  04-2005
4.- Fractions-Rates-Proprtns-Units-2006
5.  Algebra, Odds & Ends, HS level-2001
6.-Euclidean-Geometry/Complex No.s
7.  Analytic Geometry/Functions 2006
8.  Number Theory. 2006-7
9.  Complex Numbers More 2001.  10  Exponents & Radicals Exactly 2008
11. Calculus  2005
12.Real  Analysis 1995
13. Electric Circuits Etc  2007
More Folders
Mathematics How TOs & site 
content guides  08- 2008
1. Arithmetic
2. Algebra 
3. More Algebra 
4. Geometry  
5. More Geometry
6. Calculus
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Stick Equation Examples 

Here are several examples in which we solve equations  without the use of stick diagrams.  Here are more examples. 

(i) x + 20 = 29 WS
(ii) 2x + 5 = 20 WS
(iii) 3x + 10 = 32 WS
(iv) 5a + 16 = 3a+ 24 WS
(v)  (½)x + 8 = 24½ WS
(vi)  (¾)a + 16 = (¼)a+ 24 WS
(vii) (¾)q + 17 = 32 WS
(viii) 13 =[2/3]x +7 twice WS
(ix) Animated Examples WS
(a) Integral Coefficients (A)
(b) Integral Coefficients (B)
(c) Fractional Coefficients
(d) With parameters

Explore them one at a time, one after another. Bon Appetite.

 

 

Solving Linear
Equations
|(Feb 14, 2005)
with & then without stick diagrams plus testing solutions -do not hand-in untested solutions;  solving word problems; and solving systems: -  essentially one unknown, essentially triangular & general

Skill in arithmetic with fractions is a must for algebra. 

Folder Chapters -
lesson groups

Proper Use of Equal Sign
A. Letters and Lengths
B.. Solving Linear Eq'ns - WS
C. Solving Linear Eq'ns - No Sticks
D. Almost One
E: 2D Systems - Sub Method.
E:  Continued
E: Still More
F. Larger Systems


Area Intro
(i) x + 20 = 29 WS
(ii) 2x + 5 = 20 WS
(iii) 3x + 10 = 32 WS
(iv) 5a + 16 = 3a+ 24 WS
(v)  (½)x + 8 = 24½ WS
(vi)  (¾)a + 16 = (¼)a+ 24 WS
(vii) (¾)q + 17 = 32 WS
(viii) 13 =[2/3]x +7 twice WS
(ix) Animated Examples WS
(a) Integral Coefficients (A)
(b) Integral Coefficients (B)
(c) Fractional Coefficients
(d) With parameters


Up
Proper Use of Equal Sign
A. Letters and Lengths
B.. Solving Linear Eq'ns - WS
C. Solving Linear Eq'ns - No Sticks
D. Almost One
E: 2D Systems - Sub Method.
E:  Continued
E: Still More
F. Larger Systems
 



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