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Computing Unit Rates Resource ID#: 55436 Primary Type: Formative Assessment This document was generated on CPALMS - www.cpalms.org Students are asked to compute and interpret unit rates in two different ways from values that include fractions and mixed numbers. Subject(s): Mathematics Grade Level(s): 7 Intended Audience: Educators Freely Available: Yes Keywords: MFAS, ratio, rate, unit rate Instructional Component Type(s): Formative Assessment Resource Collection: MFAS Formative Assessments ATTACHMENTS MFAS_ComputingUnitRates_Worksheet.docx FORMATIVE ASSESSMENT TASK Instructions for Implementing the Task This task can be implemented individually, with small groups, or with the whole class. 1. The teacher asks the student to complete the problems on the Computing Unit Rates worksheet. 2. The teacher asks follow-up questions, as needed. TASK RUBRIC Getting Started Misconception/Error The student writes ratios that are not unit rates. Examples of Student Work at this Level The student: Writes the ratio using the given values, and then reverses the order to get a second ratio (e.g., to an Changes the ratio to to decimal form, then puts the number one under each part of the gear ratio, fo Questions Eliciting Thinking What is a ratio? What two quantities are being compared in this problem? How are they being compared? Do you know what a unit rate is? What do you think the ratio to How would you interpret the ratio means in the context of this problem? ? (Ask only if the student wrote such a ratio.) Instructional Implications Review the concept of ratio and point out that the associated quantities in ratios may or may not contain the sam rates and unit rates. Model how to determine unit rates from given rates. Be sure the student understands the con Consider implementing CPALMS lesson plan It’s Carnival Time! (Resource ID: 47394), and then assessing the Next, model finding unit rates with quantities that include fractions and mixed numbers. Review operations with describing the meaning. Consider implementing MFAS tasks Unit Rate Area (7.RP.1.1) and Unit Rate Length (7.RP.1.1). Moving Forward Misconception/Error The student is unable to determine the second unit rate. Examples of Student Work at this Level The student correctly writes 3 to 1 for the first unit rate, but: Reverses it and writes 1 to 3 for the second unit rate. Cannot determine the second unit rate. Questions Eliciting Thinking Can you tell me what the rate 3:1 means? Can you rewrite this rate so that it tells us how many times the larger g Do ratios and rates have to contain only whole numbers? Instructional Implications Clarify the definition of unit rate as a comparison of some quantity to one unit of another quantity. Emphasize th describing the meaning of unit rates in context. Using a table, tape diagram or double number line, model how to Consider implementing MFAS tasks Explaining Rates (6.RP.1.2) and Unit Rate Length (7.RP.1.1). Almost There Misconception/Error The student is unable to correctly interpret the unit rates in the context of the problem. Examples of Student Work at this Level The student: Explains the procedure used for calculating the unit rates rather than interpreting them in the context of t Does not use ratio language when interpreting the rates and says, "The smaller gear turns three times and Questions Eliciting Thinking What does 3:1 mean in the context of this problem? How are the gears related? What does 3:1 mean about the relationship between how the gears turn? Instructional Implications Model explaining the meaning of rates in the context of problems. Use unit rate language (e.g., "for each one," " When the student is ready, consider editing the worksheet to include different rational values and then implemen Got It Misconception/Error The student provides complete and correct responses to all components of the task. Examples of Student Work at this Level The student: to 1 or 0.3333… to 1 and Writes both unit rates correctly: 3 to 1 and Explains that the smaller gear turns three times for each one turn of the larger gear and the larger gear tur Questions Eliciting Thinking How did you determine the unit rates? If a student said the unit rates are 3:1 and 1:3, what did that student do wrong? Why? Why does the second part of the ratio have to be one? Instructional Implications Have the student use the unit rate to solve problems (e.g., "How many times will the smaller gear rotate when th Pair the student with a Moving Forward student. Have the student explain to the Moving Forward partner how t Challenge the student with the following problem: If Gear A turns n times for every one turn of Gear B, then ho ACCOMMODATIONS & RECOMMENDATIONS Special Materials Needed: o Computing Unit Rates worksheet SOURCE AND ACCESS INFORMATION Contributed by: MFAS FCRSTEM Name of Author/Source: MFAS FCRSTEM District/Organization of Contributor(s): Okaloosa Is this Resource freely Available? Yes License: CPALMS License - no distribution - non commercial Related Standards Name MAFS.7.RP.1.1: Description Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.