Unit 4B: Percents & Proportional Relationships: Teacher Notes

Assessments - available in EdmodoSAUSD Math 7 Group

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Unit Overview

Topic & subtopics

Common Core State Core Standards:

Concept, Definition, Application

*

7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns,gratuities and commissions, fees, percent increase and decrease, percent error.

7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers.

7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

Supporting Standards

7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

7.EE.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

7.EE.4Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

BIG IDEAS
Overarching: Relationships serve a purpose.
Topical: Proportional relationships can be used to solve real-world problems.

Essential Questions:

How can proportional relationships be used to solve real-world problems involving percents? (Mark-up, Discounts, tips, tax commission)

FOCUS In this section, students work towards developing a deeper understanding of the following: Multi-step percent problems involving percent increase and decrease--Building on Proportional understanding from previous unit using various representations (see 7th Grade Framework pgs. 14-17 for further explanation, examples, and ways to model problems).

EdmodoSAUSD Math 7 GroupUnit Overview

Topic & subtopicsCommon Core State Core Standards:*

7.RP.3Use proportional relationships to solve multistep ratio and percent problems.Examples: simple interest, tax, markups and markdowns,gratuities and commissions, fees, percent increase and decrease, percent error.7.NS.3Solve real-world and mathematical problems involving the four operations with rational numbers.7.EE.3Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.Supporting Standards7.NS.2Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.7.EE.1.Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.7.EE.4Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.BIG IDEAS

Overarching: Relationships serve a purpose.

Topical: Proportional relationships can be used to solve real-world problems.

Essential Questions:

- How can proportional relationships be used to solve real-world problems involving percents? (Mark-up, Discounts, tips, tax commission)

FOCUSIn this section, students work towards developing a deeper understanding of the following:Multi-step percent problems involving percent increase and decrease--Building on Proportional understanding from previous unit using various representations(see 7th Grade Framework pgs. 14-17 for further explanation, examples, and ways to model problems).

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