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- 7.RP.A.1Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.
- 7.RP.A.2Recognize and represent proportional relationships between quantities.
- 7.RP.A.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.RP.A.2aDecide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
- 7.RP.A.2bIdentify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
- 7.RP.A.2cRepresent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
- 7.RP.A.2dExplain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Writing Equations for Proportional Relationships

7th Grade Math

» Unit:

Proportional Relationships

Big Idea:We're writing simple equations to represent proportional relationships.

Mine Craft Inspired Unit Project

8th Grade Math

» Unit:

Solving Linear Equations in One Variable

Big Idea:Culminate solving equations using this unit project and the 3-D design program Google Sketch-up.

Graphs of Proportional Relationships - What are the two important characteristics?

7th Grade Math

» Unit:

Proportional Reasoning

Big Idea:Is your graph a straight line? Does it pass through the origin? This lesson helps you determine if graphs are proportional!

End of Grade Review: Tables, Graphs, and Equations of Proportional Relationships

7th Grade Math

» Unit:

Culminating Unit: End of Grade Review

Big Idea:The origin makes all the difference in this relationship.

Proportional Reasoning Test - Time to Put it All Together!

7th Grade Math

» Unit:

Proportional Reasoning

Big Idea:Time to test! Let the students show you what they have learned about proportional relationships!

Problem Solving Connections - Can you apply what you know about proportional reasoning?

7th Grade Math

» Unit:

Proportional Reasoning

Big Idea:If it doesn't apply, I don't care - heard that before? Well, this lesson applies what students have learned about proportional reasoning!

Equations of Proportional Relationships - Who needs a table?

7th Grade Math

» Unit:

Proportional Reasoning

Big Idea:Don't feel like continuing your table of values to 100? Try writing an equation!

Equations of Proportional Relationships - Fluency Practice!

7th Grade Math

» Unit:

Proportional Reasoning

Big Idea:Rates, tables, and now equations?! Students take a day to review what we have learned so far before we move to graphing!

The Constant of Proportionality

7th Grade Math

» Unit:

Ratios and Proportional Relationships

Big Idea:students work to identify and apply the constant of proportionality to solve word problems and display them on chart paper to present and explain at the end of class

Proportional Reasoning Review - Remember Hollywood Squares?

7th Grade Math

» Unit:

Proportional Reasoning

Big Idea:Remember Hollywood Squares? Step back a decade or two in this lesson to review proportional reasoning and have fun!

Quiz + The Constant of Proportionality in Equations and Tables

7th Grade Math

» Unit:

Ratios and Proportional Relationships

Big Idea:students work on a quiz and then work with partners to use equations to answer questions and create and equation by identifying the constant of proportionality in a table

Proportional Reasoning Retest - REWIND and Try Again!

7th Grade Math

» Unit:

Proportional Reasoning

Big Idea:If at first you are not proficient, try, try again!

Unit 5 Test

7th Grade Math

» Unit:

Ratios and Proportional Relationships

Big Idea:Students take a test on ratios and proportion; data is analyzed to inform reteaching and remediation strategies

The Distance Formula

7th Grade Math

» Unit:

Proportional Relationships

Big Idea:Use the distance formula to solve problems about rate, distance and time.

Determine the Constant of Proportionality Between the Sides of Right Triangles

7th Grade Math

» Unit:

Proportional Relationships

Big Idea:Students will use MP1, 2, 3, 4, 6, and 8 to solve problems involving identifying the constant of proportionality between the sides of right triangles in order to deepen their understanding of constant proportionality.

7.RP.A.2a

Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

7.RP.A.2b

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

7.RP.A.2c

Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

7.RP.A.2d

Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.