Grade 4 Module 2. Unit Conversions and Problem Solving with Metric Measurement. Grade 4 Mathematics Curriculum Guide

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1 Table of Contents Grade 4 Module 2 Time Frame: About 7 Days Unit Conversions and Problem Solving with Metric Measurement Topic A: Metric Unit Conversions 3 4 days By the end of Topic A, your students will be able to: o Express metric length measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric length. o Express metric mass measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric mass. o Express metric capacity measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric capacity Topic B: Application of Metric Unit Conversions 2 3 days By the end of Topic B, your students will be able to: o Know and relate metric units to place value units in order to express measurements in different units. o Use addition and subtraction to solve multi step word problems involving length, mass, and capacity. Module 2: Unit Conversions and Problem Solving with Metric Measurement CPSD 8/31/2016 Page 1

2 Grade 4 Common Core State Standards Checklist by Module This grade level chart provides an at a glance view of when each standard is addressed. Shaded boxes indicate standards assessed in Module 2. Some standards may be assessed again in a future module. Note that standards included in major clusters are followed by an asterisk (*). Please refer to the Curriculum Overview of A Story of Units for a curriculum map and detailed grade level descriptions including a summary of the year, a rationale of the module sequence, and a standards alignment chart. GRADE 4 MODULES CCSS OA 4.NBT 4.NF 4.MD 4.G 1* X X 2* X X 3* X X X 4 X 5 X 1* X 2* X 3* X 4* X 5* X 6* X 1* X 2* X 3* X 4a* X 4b* X 4c* X 5* X 6* X 7* X 1 X X 2 X X X 3 X 4 X 5 X 6 X 7 X 1 X 2 X 3 X Module 2: Unit Conversions and Problem Solving with Metric Measurement CPSD 8/31/2016 Page 2

3 CPSD Stage 1 Learning Goals Stage 1: Desired Results Transfer Goals Students will be able to independently use their learning to Use four operations to solve real world word problems that require expressing measurements given in a larger unit in terms of a smaller unit Meaning Goals UNDERSTANDINGS Students will understand that Measurement can be used to solve problems Units can be converted within the same measurement system The relative size does not change when converted from larger to smaller units The object being measured influences the unit and system selected to measure ESSENTIAL QUESTIONS How can my knowledge of place value help me attend to precision? How big or small can a unit be? Are all units the same? How do I know when units are related? Students will know Metric units of measure Units can be converted from larger to smaller units within the same system of measure. Strategies for converting units Vocabulary Terminology Kilometer (km, a unit of measure for length) Mass (the measure of the amount of matter in an object) Milliliter (ml, a unit of measure for liquid volume) Mixed units (e.g., 3 m 43 cm) From Engage NY Feb Familiar Terms and Symbols From Engage NY Feb =, <, > (equal, less than, greater than) Capacity (the maximum amount that something can contain) Convert (to express a measurement in a different unit) Distance (the length of the line segment joining two points) Equivalent (equal) Estimate (an approximation of the value of a number or quantity) Kilogram (kg), gram (g) (units of measure for mass) Larger or smaller unit (used in a comparison of units) Length (the measurement of something from end to end) Acquisition Goals Students will be skilled at Expressing measurement by relating metric units to place value units Using addition and subtraction to solve multi step word problems involving length, mass, and capacity. Model and solve addition and subtraction word problems involving metric length, mass and capacity. Express measurements in larger unit in terms of a smaller unit Converting mixed units to a single unit before or after computation Generate a two column conversion table Solve word problems involving metric units of measure Module 2: Unit Conversions and Problem Solving with Metric Measurement CPSD 8/31/2016 Page 3

4 EngageNY Recommended Materials by Lesson NOTE: Below is the list of materials recommended by EngageNY. Teachers may substitute other items as needed. Lesson Materials 1 (T) Staples, ruler, meter stick, teacher made poster with metric units ( S) Personal white board (T) 1 liter water bottle, 1,000 small paper clips, dollar bill, dictionary, balance scale, weights (1 kg and 1 g); 2 (S) Personal white board (T) 3 liter beaker, bucket of water (S) 3 liter graduated beaker (marked with liters and milliliters), bucket 3 of water, Personal white board (T) Unlabeled hundred thousands place value chart (Template) (S) Unlabeled hundred thousands place 4 value chart (Template), Add Meters and Centimeters Pattern Sheet, Personal white board 5 (S) Convert to Kilograms and Grams Sprint, Personal white board PSD Stage 2 Module 2 Assessments Standards Module Topics & Lesson Sequence Available Assessments 4.MD.A.1 4.MD.A.2 Topic A Metric Unit Conversions Lessons 1 3 Exit Tickets 4.MD.A.1 4.MD.A.2 Topic B Application of Metric Unit Conversions Lessons 4 6 Exit Tickets All Standards End Of Module Assessment Administer after Topic B Module 2: Unit Conversions and Problem Solving with Metric Measurement CPSD 8/31/2016 Page 4

5 Topic A: Metric Unit Conversions CPSD Stage 2: Evidence of Learning Topic A Stage 2 Evidence Evaluative Criteria/Assessment Level Descriptors (ALDs): (3 5 Only) 4.MD.A Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Level 3 students should be able to use the four operations to solve problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit; represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale; and apply the area formula to rectangles in mathematical problems. 4.MD.A.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36),... Available Assessment Evidence PERFORMANCE TASK(S) Module 2: Lesson 1 Exit Ticket Module 2: Lesson 2 Exit Ticket Module 2: Lesson 3 Exit Ticket 4.MD.A.2. Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Topic A: Metric Unit Conversions CPSD Stage 3: Instructional Sequence and Additional Resources Topic A Stage 3 Learning Activities A Teaching Sequence Towards Mastery of Metric Unit Conversions Engage NY Lessons Objective 1: Express metric length measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric length. (Lesson 1) Objective 2: Express metric mass measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric mass. (Lesson 2) Objective 3: Express metric capacity measurements in terms of a smaller unit; model and solve addition and subtraction word problems involving metric capacity. (Lesson 3) Module 2: Unit Conversions and Problem Solving with Metric Measurement CPSD 8/31/2016 Page 5

6 Topic B: Application of Metric Unit Conversions CPSD Stage 2: Evidence of Learning Topic B Stage 2 Evidence Evaluative Criteria/Assessment Level Descriptors (ALDs): (3 5 Only) 4.MD.A Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. Level 3 students should be able to use the four operations to solve problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit; represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale; and apply the area formula to rectangles in mathematical problems. Available Assessment Evidence PERFORMANCE TASK(S): Module 2: Lesson 4 Exit Ticket Module 2: Lesson 5 Exit Ticket 4.MD.A.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36),... 4.MD.A.2. Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. Module 2: Unit Conversions and Problem Solving with Metric Measurement CPSD 8/31/2016 Page 6

7 Topic B: Application of Metric Unit Conversions CPSD Stage 3: Instructional Sequence and Additional Resources Topic B Stage 3 Learning Activities A Teaching Sequence Towards Mastery of Application of Metric Unit Conversions Engage NY Lessons Objective 1: Know and relate metric units to place value units in order to express measurements in different units. (Lesson 4) Objective 2: Use addition and subtraction to solve multi step word problems involving length, mass, and capacity. (Lesson 5) Additional Resources by Standard UNIT 2 DEALS WITH THE METRIC SYSTEM ONLY CUSTOMARY UNIT MEASUREMENT WILL BE ADDRESSED IN UNIT 7. Additional Assessment Problems as needed are located in P: drive Van de Walle Elementary and Middle School Mathematics Teaching Developmentally Georgia Dept. of Education Common Core Grade 4 parts of Unit 7 apply to this unit (MD1, MD2) Standards/Pages/Math K 5.aspx Bridges Grade 4 Supplemental Sets: D1: Weight Measurement D3: Capacity Measurement D10: Measurement Conversions Module 2: Unit Conversions and Problem Solving with Metric Measurement CPSD 8/31/2016 Page 7