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Module 7.3 lesson 12
1.
Module 7.3 Lesson 12.notebook 1 November 18, 2015 AIM: Properties of
Inequalities Do Now 11/18/15 Homework: Problem Set 12 #1-3Module 3 Lesson 12 Lesson 12 Sprint
2.
Module 7.3 Lesson 12.notebook 2 November 18, 2015 4 3 2 1 0 1 2 7 9 11 13 15 5 4 2 0 1 2 3 6 18 6 35 35 35 35 35 4 4 4 4 4 7 5 3 1 1 3 1 1 1 5 1 5 Module 3 Lesson
12 Sprint Round 1
3.
Module 7.3 Lesson 12.notebook 3 November 18, 2015 2 3 4 5 6 7 8 10 12 14 16 20 3 2 1 0 1 3 4 8 12 4 50 50 50 50 50 4 4 4 4 4 1/2 3/2 7/2 4 9/2 1 1 1 1 5/2 2 1 Module 3 Lesson
12 Sprint Round 2
4.
Module 7.3 Lesson 12.notebook 4 November 18, 2015 1.) What numbers
could you substitute for the variable in this mathematical sentence? x > 3 2.) What numbers can not be substituted for x? x > 3 is an INEQUALITY- a mathematical sentence that contains Inequalities
5.
Module 7.3 Lesson 12.notebook 5 November 18, 2015 means the inequality symbol stays the same means the inequality symbol switches direction S.59
6.
Module 7.3 Lesson 12.notebook 6 November 18, 2015 S.59 When adding and subtracting, the inequality symbol is preserved
7.
Module 7.3 Lesson 12.notebook 7 November 18, 2015 4 3> 4 + 3 > 3 + 3 1 > 6 Preserved 3
> 2 3 2 > 2 2 1 > 0 Preserved 3 4> 3 (1) > 4 (1) 2 > 3 2 5< 2 + 1 < 5 + 1 1 < 6 Preserved Preserved S.59 When adding and subtracting, the inequality symbol is preserved
8.
Module 7.3 Lesson 12.notebook 8 November 18, 2015 S.60 When multiplying by 1, the inequality symbol is reversed
9.
Module 7.3 Lesson 12.notebook 9 November 18, 2015 -3 < 4 -3(-1)
< 4(-1) Plot the points on the number line below based on multiplying both values by -1. What is the result to the inequality symbol?
10.
Module 7.3 Lesson 12.notebook 10 November 18, 2015 -3 < 4 -3(-1)
< 4(-1) 3 > -4 The symbol is reversed
11.
Module 7.3 Lesson 12.notebook 11 November 18, 2015 4 3> 3 >
2 3 4> 2 5< 4(1) > (3)(1) 4 < 3 Reversed Reversed Reversed 3(1) > 2(1) 3 < 2 3(1) > (4)(1) 3 < 4 2(1) < 5(1) 2 > 5 Reversed S.60 When multiplying by 1, the inequality symbol is reversed
12.
Module 7.3 Lesson 12.notebook 12 November 18, 2015 S.61 When multiplying or dividing by a positive value, the inequality symbol is preserved
13.
Module 7.3 Lesson 12.notebook 13 November 18, 2015 4 3> 3 >
2 3 4> 2 5< 4(2) > (3)(2) 8 > 6 3 > 2 2 2 1.5 > 1 3 > (4) 6 > 8 2(3) < 5(3) 6 < 15 Preserved Preserved Preserved Preserved S.61 When multiplying or dividing by a positive value, the inequality symbol is preserved
14.
Module 7.3 Lesson 12.notebook 14 November 18, 2015 S.62 When multiplying and dividing by a negative, the inequality symbol is reversed.
15.
Module 7.3 Lesson 12.notebook 15 November 18, 2015 4 3> 3 >
2 3 4> 2 5< 4(3) > (3)(3) 12 < 9 3 > (4) 6 < 8 2( ) < 5( ) 1 > 2.5 Reversed Reversed Reversed Reversed 3 > 2 2 2 1.5 < 1 S.62 When multiplying and dividing by a negative, the inequality symbol is reversed.
16.
Module 7.3 Lesson 12.notebook 16 November 18, 2015 Discussion To summarize, when did the inequality symbol change and when did it stay the same? Preserved Reversed 1.) Add
or subtract any number 2.) Multiply or divide by a positive 1.) Multiply or divide by a negative S.63
17.
Module 7.3 Lesson 12.notebook 17 November 18, 2015 4 < 7 4(-1)
< 7(-1) -4 > -7
18.
Module 7.3 Lesson 12.notebook 18 November 18, 2015 S.63
19.
Module 7.3 Lesson 12.notebook 19 November 18, 2015 2 + 1 < 5 + 1 3 < 6 2(1) < 5(1) 2 > 5 Multiplying by a negative reverses the symbol. 4 1 > 6 1 5 > 7 4 > 6 2 2 2 < 3 Dividing by a negative reverses the symbol. 1(6) 2(6) 6 12 1(4) 2(4) 4 8 Multiplying by a negative reverses the symbol. 5 + 5 < 4 + 5 0 < 1 5 < 4 5 < 4 1 1 5 > 4 Dividing by a negative reverses the symbol. S.63
20.
Module 7.3 Lesson 12.notebook 20 November 18, 2015 Closing: 1.) What does
it mean for an inequality to be preserved? What does it mean for the inequality to be reversed? 2.) When does a greater than become a less than? S.74
21.
Module 7.3 Lesson 12.notebook 21 November 18, 2015
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