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Proportions. Skill Maintenance Page 61 Commutative Property Addition 3 + 4 = 4 + 3 5 + 17 + 43 =...

Date post: 18-Jan-2018
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Commutative Property Addition  =  = Multiplication  3 * 4 = 4 * 3  2 * 7 * 8 = 8 * 2 * 7
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Proportions
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Page 1: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Proportions

Page 2: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Skill MaintenancePage 61

Page 3: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Commutative Property

• Addition 3 + 4 = 4 + 3 5 + 17 + 43 = 17 + 43 + 5

• Multiplication 3 * 4 = 4 * 3 2 * 7 * 8 = 8 * 2 * 7

Page 4: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Substitution

• Important concept when working with variables

• Substitution: Replace a variable with a number value

Page 5: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Ratios

• Ratio: Compares two numbers– Represent a part-to-whole relationship– Represent a part-to-part relationship

• Fraction is a special type of ratio (part-to-whole)

Page 6: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Variables in Formulas

• One of the most powerful uses of variables in formulas.

• We use substitution to replace the values we know.

• Variables and formulas help solve problems in geometry.

Page 7: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Proportions

• Proportion: Two ratios that are equal• Work for multiplication type ratios

Page 8: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 9: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 10: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 11: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 12: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 13: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 14: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 15: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 16: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 17: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 18: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 19: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 20: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 21: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 22: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 23: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 24: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 25: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 26: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 27: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 28: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 29: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 30: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 31: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 32: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 33: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 34: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 35: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 36: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 37: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 38: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 39: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 40: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 41: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 42: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 43: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Apply SkillsPage 62

Page 44: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 45: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Word Problems with Proportions

Page 46: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 47: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 48: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Word Problems with Proportions

Read the problem

Page 49: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

What is the problem asking?

Page 50: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 51: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

What do we Know?

Page 52: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 53: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 54: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 55: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 56: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 57: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 58: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *
Page 59: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

Problem Solving ActivityPage 63

Page 60: Proportions. Skill Maintenance Page 61 Commutative Property Addition  3 + 4 = 4 + 3  5 + 17 + 43 = 17 + 43 + 5 Multiplication  3 * 4 = 4 * 3  2 *

HomeworkPages 163All ActivitiesAll Problems


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