Curriculum / Math / 6th Grade / Unit 1: Understanding and Representing Ratios / Lesson 3
Math
Unit 1
6th Grade
Lesson 3 of 18
Jump To
Define and find equivalent ratios.
The core standards covered in this lesson
6.RP.A.1 — Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."
The foundational standards covered in this lesson
5.NF.B.5 — Interpret multiplication as scaling (resizing), by:
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
This is the first of two lessons that introduce the concept of equivalent ratios. In this lesson, students understand what equivalent ratios are by thinking about multiple batches of a recipe in which the ratio of ingredients is the same even when the quantity of the ingredients changes. In the next lesson, students will analyze ratios to determine if they are equivalent.
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
On Saturday morning, you decide to make pancakes for your family. To make a batch of pancakes, your recipe calls for 1 cup of milk and 2 cups of flour.
a. Draw a diagram to represent the ratio of milk to flour in one batch of pancakes.
b. Your sister invites some friends to your house for pancakes. You decide that you need to make 2 batches of pancakes. Draw a diagram to represent the flour and milk needed for 2 batches. Write a ratio statement.
c. Your neighbors hear that you’re making pancakes and they come over as well. Now you need to make 3 batches of pancakes to feed everyone. Draw a diagram and write a ratio statement to represent the flour and milk needed for 3 batches.
d. In general, if you were to make $$c$$ batches of pancakes, then how many cups of milk and flour would you need? What ratio statement would describe this?
A baker is making sugar cookies for a local bakery. For one large batch of cookies, she needs 6 eggs and 4 cups of sugar.
a. Write a ratio statement to represent the eggs and sugar needed for 1 batch.
b. How much of each ingredient does she need for 5 batches? Write an equivalent ratio to represent this situation.
c. How much of each ingredient does she need for $$\frac{1}{2}$$ of a batch? Write an equivalent ratio to represent this situation.
Pam and her brother both open savings accounts. Each begins with a balance of zero dollars. For every $5 that Pam saves in her account, her brother saves $2 in his account.
a. Determine a ratio to describe the amount of money in Pam’s account compared to the amount of money in her brother’s account.
b. Create two equivalent ratios that describe the amount of money in Pam’s account and the amount of money in her brother’s account.
Grade 6 Mathematics > Module 1 > Topic A > Lesson 3 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
A set of suggested resources or problem types that teachers can turn into a problem set
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
For each problem, write the ratio that represents the situation and find an equivalent ratio. Explain your thinking or show your thinking with diagrams.
a. Rubi was paid $24 to sweep 4 walks.
b. Anthea hiked 6 miles in 2 hours.
Equivalent Ratios 1, accessed on July 18, 2017, 3:20 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 2
Lesson 4
Topic A: Understanding & Describing Ratios
Define ratio and use ratio language to describe associations between two or more quantities.
6.RP.A.1
Represent ratios using discrete drawings. Understand that the order of numbers in a ratio matters.
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: Equivalent Ratios
Reason with equivalent ratios and determine if two ratios are equivalent.
Represent ratios using double number lines and identify equivalent ratios.
6.RP.A.3
Solve ratio problems using strategies including double number lines.
Find equivalent ratios using ratios with “per 1” unit.
6.RP.A.3 6.RP.A.3.B
Compare situations using equivalent ratios and double number lines.
Use ratio reasoning to solve a three-act task.
Topic C: Representing Ratios in Tables
Represent ratios in tables.
6.RP.A.3 6.RP.A.3.A
Understand the structure of tables of equivalent ratios. Solve ratio problems using tables.
Solve ratio problems using tables, including those involving total amounts.
Compare ratios using tables.
6.RP.A.3.A
Solve ratio problems using different strategies.
6.RP.A.1 6.RP.A.3 6.RP.A.3.A
Topic D: Solving Part:Part:Whole Ratio Problems
Solve part:part ratio problems using tape diagrams.
6.RP.A.1 6.RP.A.3
Solve part:whole ratio problems using tape diagrams.
Solve more complex ratio problems using tape diagrams.
Solve ratio problems using a variety of strategies, including reasoning about diagrams, double number lines, tables, and tape diagrams. Summarize strategies for solving ratio problems.
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
Yes
No
Access rigorous, relevant, and adaptable math lesson plans for free