Unit Rates and Percent

Lesson 14

Math

Unit 2

6th Grade

Lesson 14 of 14

Objective


Solve multi-step problems involving rate and percent.

Common Core Standards


Core Standards

  • 6.RP.A.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. Expectations for unit rates in this grade are limited to non-complex fractions. For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger."
  • 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.
  • 6.RP.A.3.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.
  • 6.RP.A.3.D — Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Criteria for Success


  1. Apply efficient strategies from toolkit to solve rate and percent problems.
  2. Organize information and workspace to keep track of solution pathway.

Tips for Teachers


This is a flex lesson that can be used in a variety of ways, depending on the individual class. There are no Anchor Problems, as teachers can determine what specific concepts are best to look at with the whole class. The Problem Set Guidance is a collection of problems and activities that engage students in modeling with math by applying their rate reasoning to real-world problems (MP.4).

Problem Set

Fishtank Plus Content

Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

Target Task


For lunch, you order a pizza and drink some milk. 

  • The pizza is cut into 8 slices, and you eat 3 of the slices. The pizza box says that the serving size is 2 slices, and there are 570 calories per serving. 
  • The milk is in a quart container, and you drink 1 cup of it. The milk carton says that there are 580 calories in the entire quart.

How many calories did you eat for lunch? If you are trying to stick to a limit of 2,000 calories for the day, then what percent of your daily calories did you just eat for lunch?

Student Response

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Additional Practice


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.

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Lesson 13

Lesson Map

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Topic A: Defining Rate & Solving Rate Problems

Topic B: Measurement Unit Conversions

Topic C: Percent

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