6.RP.2 - About the Math, Learning Targets, and Increasing Rigor
Grade 5 AGL Ratio and Proportion
6.RP.2
Full Standard
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.”
Learning Targets (I can)
- Describe unit rate.
- Identify common or prevalent real-world unit rates and explain what those rates determine.
- Use unit rates to solve problems.
About the Math
We can write ratios in different ways depending on the purpose they are serving. We use unit rates in many ways during our day. We can solve unit rates and/or ratios in different ways as well. Students should be able to use representations, such as tape diagrams or bar models, before acquiring abstract, computation-based procedures. Essential vocabulary for this standard includes: ratio and unit rate. Visit the online dictionary Links to an external site. or visual math dictionary Links to an external site. for vocabulary support.
Progression of Standard within Grade 6 (5 AGL)
This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.
| Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
|---|---|---|---|
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Progression of this Standard Across Grades
This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.
| Grade 5 | Grade 7 |
|---|---|
|
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TASKS
These tasks can be used with small group or whole group instruction.
- Jim's car drives 255 miles using 15 gallons of gas. Asha's drives 228 miles using 12 gallons of gas. Who's car gets the better gas mileage? Explain how you know.
- A 32-gram serving of Cinnamon Life contains 9 grams of sugar. A 55-gram serving of Raisin Nut Bran contains 16 grams of sugar. Which cereal has less sugar per gram of cereal? Explain how you know.
- How would you describe a unit rate? Give some examples of unit rates you have seen in your home, your school, and/or a store.
- It cost Amel $6.00 for every 2 pounds of apples bought. If Amel spent $24.00 explain how many pounds of apples she bought. Justify your reasoning.
- My mom can do 57 sit-ups in 3 minutes. What is her unit rate of sit-ups per minute? Show this in 2 different ways.
SLIDE-BASED TASKS
These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.
Module 8 • Ratio And Proportion
Understand Unit Rate, Solve Real-World Problems with Unit Rates:
Additional Tasks
These links provide instructional ideas connected to this standard [NOTE: NCTM membership required for access to Illuminations lessons.]
- Lesson 3.1 - The Burj Khalifa Links to an external site. - (Illustrative Math)
- Voting for Two, Variation 1 Links to an external site.(Illustrative Math)
- Voting for Two, Variation 2 Links to an external site.(Illustrative Math)
- Voting for Two, Variation 3 Links to an external site. (Illustrative Math)
- Voting for Two, Variation 4 Links to an external site.(Illustrative Math)
- Price per pound and pounds per dollar Links to an external site.(Illustrative Math)
- Riding at a Constant Speed, Assessment Variation Links to an external site.(Illustrative Math)
- The Escalator, Assessment Variation Links to an external site. (Illustrative Math)
- Hippos Love Pumpkins Links to an external site. (Illustrative Math)
- Mangoes For Sale Links to an external site.(Illustrative Math)
- Lesson 2.10 Comparing Situation by Examining Ratios Links to an external site.( Illustrative Math)
- What's Your Rate Links to an external site.(NCTM Illuminations Lesson)
- Understanding Rational Numbers and Proportions Links to an external site. Links to an external site.(NCTM Illuminations Lesson)
- Candies Download Candies (NOYCE Foundation Lesson)
- Gas Mileage Download Gas Mileage (Lesson Collection)
- Unit Rates in EveryDay Life Links to an external site.(Math Snacks video clip)
Tasks From Print Resources
These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them.
| Book Thumbnail | Book Title | Grade | Pages |
|---|---|---|---|
| Teaching Student-Centered Mathematics | 6-8 | Different Objects, Same Ratios, Activity 11.5, Page 207 | |
|
Hands-On Standards Common Core
|
6 | 12-15 (Lesson 2) | |
|
Groundworks: Algebraic Thinking |
5 | 16-23 (Better Buy) | |
|
Groundworks: Reasoning about Number |
6 | 32-39 (Best Buy) |
Centers
These print resources can be used during independent or center time. These resources could also be used as lesson seeds. [NOTE: NCTM membership required for access to Illuminations lessons.]
- Orange Drink Links to an external site. (Nrich Math, print resource)
- What's Your Rate Links to an external site. (NCTM Illuminations print resource/activity)
INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT
These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.
- Understand Unit Rate a Links to an external site.
- Understand Unit Rate b Links to an external site.
- Word Problems with Unit Rate Links to an external site.
- Write Unit Rates for Given Relationships Links to an external site.
- Write Ratios and Unit Rates for Given Relationships Links to an external site.
- Use Ratios to Compare Rates Links to an external site.
- Use Ratios to Compare Rates_2 Links to an external site.
- Solve Problems Involving Unit Rates Links to an external site.
- Solve Problems Involving Unit Rates_2 Links to an external site.
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Learning Targets
- Describe unit rate.
- Identify common or prevalent real-world unit rates and explain what those rates determine.
- Use unit rates to solve problems.
Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading.
Rubric for Tasks Links to an external site.
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This course content is offered under a CC Attribution Non-Commercial Share Alike
Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.