Curriculum / Math / 6th Grade / Unit 1: Understanding and Representing Ratios / Lesson 9
Math
Unit 1
6th Grade
Lesson 9 of 18
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Use ratio reasoning to solve a three-act task.
The core standards covered in this lesson
6.RP.A.3 — 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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Act 1: Watch the prologue video to the "Nana's Paint Mixup" three-act task.
What do you notice? What do you wonder?
Nana's Paint Mixup by Dan Meyer is made available on 101Questions under the CC BY 3.0 license. Accessed July 18, 2017, 4:33 p.m..
Act 2: How can we use equivalent ratios to fix this mix-up?
Act 3: Watch the video answer.
Was your answer reasonable? Why or why not?
Sequel: How many other ways to fix the mix-up can you find?
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
You’re mixing ingredients for cookies. The recipe says to combine 6 tablespoons, or ¾ stick, of butter with 1 cup of sugar. You accidentally mix in a whole stick of butter (8 tablespoons) with the cup of sugar. How can you fix this?
An example response to the Target Task at the level of detail expected of the students.
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 8
Lesson 10
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.
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Topic B: Equivalent Ratios
Define and find 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.
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.
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