Unit Rates
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Topics
- Ratios
- Proportional Reasoning
- Double Number Line
- Unit Rate
Description
Discover the unit rate while shopping for fruits, vegetables, and candy. Construct a double number line and look for patterns. Challenge yourself on the race track as you compare cars with different rates!
Sample Learning Goals
- Interpret ratios of mixed units (e.g. $/lb)
- Define the unit rate and determine a method to calculate it
- Predict how changing the numerator or denominator of a rate will affect the unit rate
- Use the double number line to reason about rates and solve real-world problems
- Develop strategies to use the unit rate to solve problems
- Compare unit rates between two simultaneous situations
Standards Alignment
Common Core - Math
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. 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."1
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.3b
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?
6.RP.A.3d
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Version 1.0.9
Teacher Tips
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Overview of sim controls, model simplifications, and insights into student thinking ( PDF ). |
Video Primer
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Teacher-Submitted Activities
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Authors | Level | Type | Subject |
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| Finding and Using Unit Rates |
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Karina K. R. Hensberry | MS | Guided | Mathematics |
| Using Ratios and Rates to Solve Problems |
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Ian Whitacre, Sebnem Tekin | MS | Guided | Mathematics |
| Comparing Unit Rates |
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Ian Whitacre, Sebnem Tekin | MS | Guided | Mathematics |
| CCSS Math Alignment with Sims |
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Amanda McGarry | MS HS K-5 |
Other | Mathematics | |
| Finding Unit Rates Using Addition, Subtraction, Multiplication, and Division | Bethany Konz | MS | Guided | Mathematics | ||
| Preguntas de razonamiento para todas las simulaciones HTML5 |
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Diana López | UG-Intro Grad UG-Adv K-5 MS HS |
Discuss HW |
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