Lesson 3 - Solving Equations using Balance Strategies.notebook

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Lesson 3 Solving Equations using Balance Strategies.notebook April 18, 2015 Outcome 1. Model and solve problems, using linear equaons of the form where a, b, c, d, e and f are raonal numbers: ax = b = b, a ≠0 ax + b = c + b = c, a ≠0 ax = b + cx a(x + b) = c ax + b = cx + d a(bx + c) = d(ex + f) = b, x ≠0 2. Explain and illustrate strategies to solve single variable linear inequalies with raonal coefficients within a problem‐solving context.

Transcript of Lesson 3 - Solving Equations using Balance Strategies.notebook

Page 1: Lesson 3 - Solving Equations using Balance Strategies.notebook

Lesson 3 ­ Solving Equations using Balance Strategies.notebook April 18, 2015

Outcome1. Model and solve problems, using linear equaons of the form where a, b, c, d, e and f are raonal numbers:

• ax = b 

•  = b, a ≠ 0

• ax + b = c 

•  + b = c, a ≠ 0

• ax = b + cx 

• a(x + b) = c

• ax + b = cx + d

• a(bx + c) = d(ex + f)

•  = b, x ≠ 0

        2. Explain and illustrate strategies to solve single variable linear inequalies with raonal coefficients within a problem‐solving context.

Page 2: Lesson 3 - Solving Equations using Balance Strategies.notebook

Lesson 3 ­ Solving Equations using Balance Strategies.notebook April 18, 2015

Page 3: Lesson 3 - Solving Equations using Balance Strategies.notebook

Lesson 3 ­ Solving Equations using Balance Strategies.notebook April 18, 2015

Two Strategies:

1. Using Pictures/Manipulatives

2. Algebraic Solution (Drawing the Line)

Page 4: Lesson 3 - Solving Equations using Balance Strategies.notebook

Lesson 3 ­ Solving Equations using Balance Strategies.notebook April 18, 2015

Page 5: Lesson 3 - Solving Equations using Balance Strategies.notebook

Lesson 3 ­ Solving Equations using Balance Strategies.notebook April 18, 2015

Practice Your Skills!

Page 280­283

Stage 1: 4, 5, 6, 7

Stage 2: 10 ace, 11 bdf, 14, 15

Feeling Lucky? #18

Page 6: Lesson 3 - Solving Equations using Balance Strategies.notebook

Lesson 3 ­ Solving Equations using Balance Strategies.notebook April 18, 2015

Review your Skills!