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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.

Proportional Reasoning and Percent - Can you apply the concepts? (3 Day Lesson)

7th Grade Math

Â» Unit:

Percents

Big Idea:What's the point of learning it if you can't apply it in the real world? Students will apply concepts learned in the RP strand of the common core to real world problems.

Scaling a Recipe

7th Grade Math

Â» Unit:

Proportional Relationships

Big Idea:In this task, students scale recipes up so that there is enough for seconds and thirds!

Write It Wednesday - Analyzing Matters

7th Grade Math

Â» Unit:

Proportional Relationships

Big Idea:Students will have the opportunity to continue their critique of the reasoning of others and sharpen their own problem-solving skills with a set of problems.

The Number Line Project, Part 2: Two Dimensional Number Lines

Algebra I

Â» Unit:

The Number Line Project

Big Idea:The mathematical structures we build today will be used to justify many algebraic ideas in the coming months.

Mini Me

7th Grade Math

Â» Unit:

Proportional Relationships

Big Idea:The big idea behind the next two lessons is for students to apply what they have learned about ratios and construct themselves using that knowledge.

Unit Assessment Feedback Lesson

7th Grade Math

Â» Unit:

Proportional Relationships II

Big Idea:Students reflect on how they performed on the the unit assessment.

Solving Multi-Step Word Problems Given a Part to Part Ratio

7th Grade Math

Â» Unit:

Proportional Reasoning

Big Idea:Using MP 1, 2, 3, 4, and 6 students will grapple through and solve rigorous multi-step real world problems given a part to part ratio.

Additional Discounts ( Lesson 4 in lesson progression)

7th Grade Math

Â» Unit:

Proportional Reasoning with Percents

Big Idea:Students will enjoy becoming mathematical translators to help solve real world problems involving additional discounts.

Mini Me II

7th Grade Math

Â» Unit:

Proportional Relationships

Big Idea:The big idea behind this lesson is for students to apply what they have learned about rates and ratios and construct themselves using that knowledge.

Designing the floor pattern

7th Grade Math

Â» Unit:

Writing and comparing ratios

Big Idea:The ratio can be scaled up or down by multiplying or dividing.

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

7th Grade Math

Â» 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

Â» Unit:

Culminating Unit: End of Grade Review

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

Proportional and Nonproportional Relationships - Can you find the constant?

7th Grade Math

Â» Unit:

Proportional Reasoning

Big Idea:You have heard of moving at a constant speed or doing something at a constant rate - but did you know that was a proportional relationship?

Proportional Reasoning Test - Time to Put it All Together!

7th Grade Math

Â» Unit:

Proportional Reasoning

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

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.