 # Standard #: MAFS.6.RP.1.2

This document was generated on CPALMS - www.cpalms.org

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.”

### General Information

Subject Area: Mathematics
Domain-Subdomain: Ratios & Proportional Relationships
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand ratio concepts and use ratio reasoning to solve problems. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

### Test Item Specifications

N/A

Assessment Limits :
Items using the comparison of a ratio will use whole numbers. Rates can be expressed as fractions, with “:” or with words. Items may involve mixed units within each system (e.g. convert hours/min to seconds). Context itself does not determine the order. Name the amount of either quantity in terms of the other as long as one of the values is one unit.
Calculator :

No

Context :

Required

### Sample Test Items (2)

 Test Item # Question Difficulty Type Sample Item 1 Which statement describes a unit rate? N/A MC: Multiple Choice Sample Item 2 Dominic is buying candy by the pound for a party. For every 10 pounds of candy he buys, he pays \$12.What is the cost, per pound, for the candy? N/A EE: Equation Editor

#### Related Courses

 Course Number1111 Course Title222 1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond) 1205020: M/J Grade 6 Accelerated Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022 (current), 2022 and beyond) 1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond) 7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 and beyond) 7912110: Fundamental Explorations in Mathematics 1 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))

#### Assessments

 Name Description Sample 4 - Sixth Grade Math State Interim Assessment This is a State Interim Assessment for sixth grade. Sample 3 - Sixth Grade Math State Interim Assessment This is a State Interim Assessment for sixth grade. Sample 2 - Sixth Grade Math State Interim Assessment This is a State Interim Assessment for sixth grade. Sample 1 - Sixth Grade Math State Interim Assessment This is a State Interim Assessment for sixth grade.

#### Formative Assessments

 Name Description Writing Unit Rates Students are given verbal descriptions of rates and asked to write them as unit rates. Identifying Unit Rates Students are asked to decide if given statements express unit rates. Explaining Rates Students are asked to explain the meaning of given rates and identify any that are unit rates. Book Rates Students write and explain the meaning of a ratio and corresponding unit rate in the context of a word problem.

#### Lesson Plans

 Name Description Build Me a Beach House This is a multi-day activity that reinforces science, math, and technology skills by taking the students through the design process. Students will be tasked with designing and building a structure that could withstand high winds and water as would be found close to the seashore. Rate Your Local Produce Market The students will rank the local produce markets by using qualitative and quantitative data. The students will have to calculate unit rates and compare and order them. Recognizing Proportional Relationships to Develop Sense of Scale This 90-minute lesson (15-minute pre-lesson, 60-minute lesson and 15-minute follow up lesson or homework) asks students to analyze proportional relationships to solve real world and mathematical problems. The examples use recipes, paint, and buildings. Students begin by working individually, then in pairs or threes, and then as a whole class. Student will need calculators, large sheets of paper to make a poster and the lesson materials. Catapult a Rate This lesson uses student created data to find the unit rate of distance per time. Students catapult three different coins, measure time and distance to find the rate of flight for each coin. "Analyzing Wordless Stories" An Introduction to Solving Unit Rates In this lesson, students will apply their understanding of ratios and prior knowledge of division to determine the unit rate for a given ratio. After some initial instruction on unit rates, students will determine unit rates from diagrams with teacher guidance, and they will determine unit rates from narrative descriptions independently. The Best Domestic Car In this MEA students will use problem-solving strategies to determine which car to recommend to Americans living in India. Savvy Shopper This a culminating activity for unit rates that has students apply knowledge to purchasing groceries. Specifically how knowledge of unit rates can help save money over time. What Does a Ratio Look Like? The class will use a PowerPoint presentation to take a stroll down the beach for some ice cream. The students must investigate how to write the number of ice cream cones in relation to the cost of ice cream. Best Day Care Center in the Neighborhood This MEA requires students to formulate a comparison-based solution to a problem involving choosing the best day care center in the neighborhood for the residents of Dream Living Housing Community. Students are provided the context of the problem, a request letter from a client asking them to provide a recommendation, and data relevant to the situation. Students utilize the data to create a defensible model solution to present to the client. Orange Juice Conversion In this MEA, the students will be able to convert measurements within systems and between systems. They will be able to use problem solving skills to create a process for ranking orange juices for a Bed and Breakfast. Is It Fair? In this lesson students will use their understanding of ratios and unit rate to solve problems where they must decide whether various situations are fair. Pancakes over a Campfire! In this activity, students will learn how to set up ratios and calculate unit rates using a recipe.

#### Original Student Tutorial

 Name Description Farmers Market: Ratios, Rates and Unit Rates Learn how to identify and calculate unit rates by helping Milo find prices per item at a farmer's market in this interactive tutorial.

#### Perspectives Video: Expert

 Name Description Statistical Sampling Results in setting Legal Catch Rate Fish Ecologist, Dean Grubbs, discusses how using statistical sampling can help determine legal catch rates for fish that may be endangered. Download the CPALMS Perspectives video student note taking guide.

#### Perspectives Video: Professional/Enthusiasts

 Name Description Running at a Constant Speed, Assessment Variation In this assessment, students are asked questions involving distance, rate, and time. Students will use and analyze concepts of ratio, unit rate, proportion, and proportional units. The Escalator, Assessment Variation Students are provided seven choices and are asked to determine the ratios that are correct for the given context. Mangos for Sale Students are asked to determine if two different ratios are both appropriate for the same context. Price Per Pound and Pounds Per Dollar Students are asked to use a given ratio to determine if two different interpretations of the ratio are correct and to determine the maximum quantity that could be purchased within a given context. Ratio - Make Some Chocolate Crispies In this activity students calculate the ratio of chocolate to cereal when making a cake. Students then use that ratio to calculate to amount of chocolate and cereal necessary to make 21 cakes.

#### Virtual Manipulative

 Name Description Planet Size Comparison: Ratio Images of two planets selected on two drop-down menus with a display of their respective diameters and the applicable ratio.

#### Original Student Tutorial

 Name Description Farmers Market: Ratios, Rates and Unit Rates: Learn how to identify and calculate unit rates by helping Milo find prices per item at a farmer's market in this interactive tutorial.