Lesson 12 NYS COMMON CORE MATHEMATICS CURRICULUM 7ͻ3 Name: _____________________________ Thursday, February 19, 2015 'A' Week Lesson 12: Properties of Inequalities **You will use the template hand-out to create your inequalities below** Classwork Example 1 Preserves the inequality symbol: Preserves the inequality symbol means "Keep the Same - DO NOT CHANGE" Reverses the inequality symbol: Reverses the inequality symbol means "CHANGE the Symbol's direction" Station 1 Die 1 Inequality Die 2 Operation െ3 < 5 Add 2 (on both sides) New Inequality Inequality Symbol Preserved or Reversed? െ3 + 2 < 5 + 2 െ1 < 7 TRUE Preserved Add െ3 Subtract 2 Subtract െ1 Add 1 Examine the results. Make a statement about what you notice, and justify it with evidence. Lesson 12: Date: Properties of Inequalities 9/11/14 © 2014 Common Core, Inc. Some rights reserved. commoncore.org S.76 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 12 NYS COMMON CORE MATHEMATICS CURRICULUM 7ͻ3 Station 2 Die 1 െ3 Inequality < Die 2 4 Operation Multiply by െ1 (on both sides) New Inequality Inequality Symbol Preserved or Reversed? (െ1)(െ3) < (െ1)(4) NOT TRUE: 3 < െ4 TRUE: 3 > െ4 In order to make the inequality statement true, we must reverse the symbol. Reversed Multiply by െ1 Multiply by െ1 Multiply by െ1 Multiply by െ1 Examine the results. Make a statement about what you notice and justify it with evidence. Lesson 12: Date: Properties of Inequalities 9/11/14 © 2014 Common Core, Inc. Some rights reserved. commoncore.org S.77 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 12 NYS COMMON CORE MATHEMATICS CURRICULUM 7ͻ3 Station 3 Die 1 Inequality Die 2 Operation New Inequality Inequality Symbol Preserved or Reversed? െ2 > െ4 Multiply by ଵ 1 1 (െ2) ൬ ൰ > (െ4) ൬ ൰ 2 2 െ1 > െ2 TRUE Preserved ଶ (on both sides) Multiply by 2 Divide by 2 Divide by ଵ ଶ Multiply by 3 Examine the results. Make a statement about what you notice, and justify it with evidence. Lesson 12: Date: Properties of Inequalities 9/11/14 © 2014 Common Core, Inc. Some rights reserved. commoncore.org S.78 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Lesson 12 NYS COMMON CORE MATHEMATICS CURRICULUM 7ͻ3 Station 4 Die 1 Inequality Die 2 Operation New Inequality -6 > 4 3 > െ2 Multiply by െ2 Inequality Symbol Preserved or Reversed? Is this true ? 3(െ2) > (െ2)(െ2) െ6 < 4 We had to reverse the symbol because -6 is not greater than 4. By reversing the symbol, we make the inequality statement true. Reversed (on both sides) Multiply by െ3 Divide by െ2 Divide by ଵ െ ଶ Multiply by ଵ െ ଶ Examine the results. Make a statement about what you notice and justify it with evidence. Lesson 12: Date: Properties of Inequalities 9/11/14 © 2014 Common Core, Inc. Some rights reserved. commoncore.org S.79 This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.