Lesson LESSON 25 Overview Convert Measurement Units CCSS Focus Lesson Objectives Prerequisite Skills Domain Content Objectives • Distinguish between the customary and Measurement and Data metric measurement systems. • Convert from a larger unit of • Be familiar with measurement units used measurement to a smaller unit Cluster in each system, as well as units of time. A. Convert like measurement units within of measurement within the same a given measurement system. measurement system. • Compute using whole numbers, decimals, and fractions, including mixed • Convert from a smaller unit of Standard numbers. 5.MD.A.1 Convert among different-sized measurement to a larger unit standard measurement units within a of measurement within the same given measurement system (e.g., convert measurement system. Lesson Vocabulary 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems. Language Objectives There is no new vocabulary. Review the Additional Standards • List mathematical relationships of following key terms. 5.NBT.A.2, 5.NF.B.3 (See Standards measurement units within the same • convert to write an equivalent Correlations at the end of the book for system; for example, between ounces measurement using a different unit. full text.) and pounds, or among centimeters, • customary system the measurement meters, and kilometers. system commonly used in the United Standards for Mathematical • Record conversions between different- States that measures length in inches, Practice (SMP) sized measurement units. feet, yards, and miles; liquid volume in SMPs 1, 2, 3, 4, 5, and 6 are cups, pints, quarts, and gallons; and integrated in every lesson through the weight in ounces and pounds. Try-Discuss-Connect routine.* • metric system the measurement In addition, this lesson particularly system that measures length based on emphasizes the following SMPs: meters, liquid volume based on liters, 2 Reason abstractly and and mass based on grams. quantitatively. 5 Use appropriate tools strategically. 7 Look for and make use of structure. Learning Progression * See page 305m to see how every lesson includes these SMPs. In Grade 4 students became familiar with system and reason about converting from the relative sizes of different units within one unit of measurement to another. both the metric system and the customary Students convert measurement units of system. Students used models, such as bar length, capacity, weight, and mass in both models and number lines, to show the the metric and customary systems of relationship between two units of measurement, as well as units of time. measurement and used multiplication to Students multiply and divide with whole convert from the larger unit to the smaller numbers, decimals, and fractions in order unit. Earlier in Grade 5, students multiply to convert measurements. and divide with whole numbers, decimals, In the next lesson, students will solve and fractions, including mixed numbers. word problems involving conversions of In this lesson students gain a conceptual measurement units. In Grade 6 students understanding of the relative sizes of will work with measurement units when measurement units within a measurement they learn about ratios and unit rates. 507a Lesson 25 Convert Measurement Units ©Curriculum Associates, LLC Copying is not permitted. Lesson Pacing Guide Teacher Toolbox Whole Class Instruction Small Group Differentiation SESSION 1 Interactive Tutorial* (Optional) Additional Practice PREPARE Explore Prerequisite Review: Lesson pages 511–512 Multiply and Divide Decimals by Powers Ready Prerequisite Lessons 45–60 min of Ten Grade 4 • Lesson 13 Use Multiplication to Convert Converting Measurement Units Measurements • Start 5 min • Lesson 15 Divide Four-Digit Numbers • Try It 10 min • Discuss It 10 min RETEACH • Connect It 15 min • Close: Exit Ticket 5 min Tools for Instruction Grade 4 SESSION 2 Converting Larger Units to Smaller Additional Practice • Lesson 13 Find Equivalent Measurements Units Lesson pages 517–518 Develop • Lesson 15 Divide Four-Digit by One-Digit • Start 5 min Numbers 45–60 min • Try It 10 min Fluency Grade 5 • Discuss It 10 min Converting Larger Units • Lesson 25 Convert Measurement Units • Model It & Solve It 5 min to Smaller Units • Connect It 10 min • Close: Exit Ticket 5 min REINFORCE Math Center Activity SESSION 3 Converting Smaller Units to Larger Additional Practice Grade 5 Units Lesson pages 523–524 Develop • Lesson 25 Converting Units Vocabulary • Start 5 min Fluency Match 45–60 min • Try It 10 min Converting Smaller Units • Discuss It 10 min to Larger Units • Model It & Solve It 5 min EXTEND • Connect It 10 min Enrichment Activity • Close: Exit Ticket 5 min Grade 5 • Lesson 25 Animal Races SESSION 4 Converting Measurement Units Lesson Quiz Refine • Start 5 min or Digital • Example & Problems 1–3 15 min Comprehension Check 45–60 min • Practice & Small Group Differentiation 20 min Independent Learning • Close: Exit Ticket 5 min PERSONALIZE Lesson Materials i-Ready Lesson* Lesson Per pair: 2 sets of fraction tiles or circles Grade 5 (Required) Activity Sheet: Math Reference Sheet • Express Measurements in Larger Units Activities Per pair: meterstick Per group: 1-cup measuring cup, 1 pint container, 1 quart container, 6 cups of rice or dried beans Activity Sheet: 1-Centimeter Grid Paper Math Toolkit base-ten blocks, fraction tiles, fraction circles, ruler, fraction bars, number lines, grid paper, thousandths decimal place-value charts, math reference sheet * We continually update the Interactive Tutorials. Check the Teacher Toolbox for the most up-to-date offerings for this lesson. ©Curriculum Associates, LLC Copying is not permitted. Lesson 25 Convert Measurement Units 507b LESSON 25 Connect to Family, Community, and Language Development The following activities and instructional supports provide opportunities to foster school, family, and community involvement and partnerships. Connect to Family Use the Family Letter—which provides background information, math vocabulary, and an activity— to keep families apprised of what their child is learning and to encourage family involvement. Available in Spanish Teacher Toolbox Convert Measurement Units ACTIVITY CONVERTING MeMe Un Dear Family, 25 Do this activity with your child to convert measurement units. Materials ruler or measuring tape, sheet of paper This week your child is learning to convert from Play a game with your child to convert measurements in real-life situations. one measurement unit to another. • Choose a place to mark a starting line. It can be inside your home or outside. Your child is learning to make measurement conversions, such as: Make sure there is enough open space if you choose to play inside. • from one unit of length to another, using kilometers, meters, and centimeters. • Make a paper ball by crumpling a sheet of paper. • from one unit of weight to another, using pounds and ounces. • Have your child stand at the starting line and toss the paper ball. • from one unit of capacity to another, using gallons, quarts, and cups. • Together, measure the length of the toss to the nearest foot. Then convert the length of the toss from feet to inches. [1 foot 5 12 inches] So, multiply the You can describe the same measurement using diff erent units. For example, number of feet by 12 to fi nd the number of inches. 1 kilometer describes the same distance as 1,000 meters. The length is the same. The units used to measure the length are diff erent, so the number of units in the • Take turns tossing the ball, measuring, and converting measurements. measurement is diff erent, too. Look out for other real-life opportunities to practice converting measurements Kilometers are a larger unit of with your child. You might convert measurements when you use a recipe, do a measurement than meters. Since 4.5 kilometers 5 ? meters craft project together, make a home repair, or plan a trip. 4.5 3 1,000 5 4,500 there are 1,000 meters in each 4.5 kilometers 5 4,500 meters kilometer, you can multiply the length, or distance, in kilometers by 1,000 to convert the measurement to meters. Meters are a smaller unit of measurement than kilometers. 6,700 meters 5 ? kilometers 6,700 4 1,000 5 6.7 Since 1 kilometer is equivalent 6,700 meters 5 6.7 kilometers to 1,000 meters, you can divide the length, or distance, in meters by 1,000 to convert the measurement to kilometers. Your child is becoming familiar with the relative sizes of units by identifying which units are larger and which units are smaller. Also, as your child practices converting units, he or she is applying multiplication and division skills. Invite your child to share what he or she knows about converting measurement units by doing the following activity together. 507 508 ©Curriculum Associates, LLC Copying is not permitted. Lesson 25 Convert Measurement Units 507 508 Lesson 25 Convert Measurement Units ©Curriculum Associates, LLC Copying is not permitted. Goal Math Talk at Home The goal of the Family Letter is to provide opportunities for Encourage students to look for objects at home that can be students and their families to practice converting from one measured and then decide what unit of measurement is best to use. measurement unit to another. Conversation Starters Below are additional conversation starters students can write in their Family Letter or math journal to engage Activity family members: Applying what students know about units of measurement and • When measuring a long distance, what unit of measurement do benchmark measurements will help them identify relationships you use? between one measurement unit and another. Students will make paper balls and measure the distance that the paper balls are • Have you ever had to convert from one unit of measurement to thrown in feet and then convert to inches. another? When? 507–508 Lesson 25 Convert Measurement Units ©Curriculum Associates, LLC Copying is not permitted.