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Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 1 November 02, 2014 Learning Target: Finding equivalent expressions

Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

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Page 1: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

1

November 02, 2014

Learning Target: Finding equivalent expressions

Page 2: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

2

November 02, 2014

Practice:

e. f.

Page 3: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

3

November 02, 2014

Homework: 2­122 through 2­124

Page 4: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

4

November 02, 2014

Warm­up ­ Nov. 4, 2014

1. 2x0

2. (3x2y3)2

3. 

4. 

Page 5: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

5

November 02, 2014

Learning Targets

I can discuss the algebraic properties of addition and multiplication, which will help identify "legal maneuvers" in solving.

I can use an area model to identify and create equivalent expressions, which will help me in solving.

Page 6: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

6

November 02, 2014

Agenda

1. Algebraic properties.

2. Problem solving with equivalent expressions and area models.

3. Pass back quadratics tests.

Page 7: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

7

November 02, 2014

Algebraic Properties of addition and multiplication

Page 8: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

8

November 02, 2014

Page 9: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

9

November 02, 2014

Page 10: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

10

November 02, 2014

Use an area model to find an equivalent expression.

Extend: Prove (without graphing) thaty = (x­4)(x+6)y = x2 + 2x ­ 24y = (x+1)2 ­ 25

all describe the same parabola.

Page 11: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

11

November 02, 2014

Challenge!

Page 12: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

12

November 02, 2014

Exit Ticket

On an index card, answer the following questions:

1. Which algebraic property describes the following?  3 + 4 = 4 + 3

2. Give an example that does not obey the commutative property.

3. Write a complete sentence explaining what it means for expressions to be equivalent.

Page 13: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

13

November 02, 2014

Homework: 

2­132(a,b,c), 2­134(b,d)

Page 14: Alg 3-4 Day 29 02Nov 2.2.1 2.2.2.notebook · 2019. 10. 7. · Alg 34 Day 29 02Nov 2.2.1_2.2.2.notebook 5 November 02, 2014 Learning Targets I can discuss the algebraic properties

Alg 3­4 Day 29 02Nov 2.2.1_2.2.2.notebook

14

November 02, 2014