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Equivalent Ratios (Grade 6)




 


Videos, solutions, and lessons to help Grade 6 students learn to use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

A. Make tables of equivalent ratios relating quantities with whole- number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios

B. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed?

C. Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.

D. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Common Core: 6.RP.3a

Suggested Learning Targets


  • I can make a table of equivalent ratios using whole numbers.
  • I can find the missing values in a table of equivalent ratios.
  • I can plot pairs of values that represent equivalent ratios on the coordinate plane.
  • I can use tables to compare proportional quantities.
  • I can solve real-world and mathematical problems involving ratio and rate, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

Related Topics:
Common Core for Grade 6

More Lessons for Grade 6

Component Skills from Previous Grades

6.RP.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
6.RP.2
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.


Solving ratio problems using tables and the coordinate plane --Lesson 1 of 7 (CCSS: 6.RP.3a)
In this lesson you will learn to solve ratio problems by using tables and addition.



Solving ratio problems using tables and the coordinate plane --Lesson 2 of 7 (CCSS: 6.RP.3a)
In this lesson you will learn to solve ratio problems by using tables and multiplication.
Solving ratio problems using tables and the coordinate plane --Lesson 3 of 7 (CCSS: 6.RP.3a)
In this lesson you will learn to solve ratio problems by using double number lines.


 
Solving ratio problems using tables and the coordinate plane --Lesson 4 of 7
In this lesson you will learn to solve ratio problems by using a tape diagram.
Solving ratio problems using tables and the coordinate plane --Lesson 5 of 7
In this lesson you will learn to solve ratio problems by graphing on a coordinate plane.


Solving ratio problems using tables and the coordinate plane --Lesson 6 of 7
In this lesson you will learn to solve ratio problems by choosing the strategy you like the best.
Solving ratio problems using tables and the coordinate plane--Lesson 7 of 7
In this lesson you will learn to convert measurement units by using ratio tables.


 
Find equivalent ratios - 6.RP.3
Strategy:
1) Understand the ratio
2) Manipulate the ratio to generate equivalent ratios.
Find equivalent ratios using ratio tables - 6.RP.3
Strategy:
1) Understand the ratio
2) Use that understanding to write equivalent ratios in a table.


Compare ratios using a ratio table - 6.RP.3

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