In this unit, students will combine competencies from different domains to solve measurement problems using the four operations. Measurement is combined with this unit to provide a context for problem solving such as distance, intervals of time, liquid volumes, masses of objects, and money. These problems could require students to express measurements given in a larger unit in terms of a smaller unit (e.g., feet to inches, meters to centimeters, dollars to cents). All problem types from Table One and Table Two from the Common Core State Standards for Mathematics are included in this unit. Students’ experiences in solving these problems will enable them to develop an understanding of the importance of measurement with working with various concepts and skills. Students will also begin to use letters in equations to represent these problems. This unit also connects with students’ prior knowledge by assessing the reasonableness of their answers using mental computation strategies and estimation.
Key Concepts:
 We can represent problems using equations with letters standing for the unknown quantity.
 In addition to rounding, we can use mental computation strategies to assess the reasonableness of responses.
 We can use addition, subtraction, multiplication, and division to solve multistep measurement problems.
Prior Knowledge Needed:
 Solve addition and subtraction problems using measurement; (Grade 3, Unit 6; 3.MD.A.1)
 Investigating pattern in number and operations; (Grade 3, Unit 8; 3.OA.D.8)
 Using multiplication and division to solve measurement problems; (Grade 3, Unit 14; 3.MD.A.2)
 Using multiplication and division strategies with larger numbers; (Grade 4, Unit 2; 4.OA.A.3)
 Introducing measurement conversions; (Grade 4, Unit 6; 4.MD.A.1)
Units on the Horizon:
 Comparing decimal fractions and understanding notation (Grade 4, Unit 12)
 Problem solving with whole numbers (Grade 4, Unit 14)
 Solving problems involving volume (Grade 5, Unit 9)
 Performing operations with decimals (Grade 5, Unit 10)
Lessons

Lesson objective: Understand that we can represent problems using equations with letters standing for the unknown quantity. Students bring prior knowledge of writing equations from 3.OA.D.8. This prior knowledge is extended to replacing boxes, question ...

Lesson objective: Fluently write equations from word problems with a letter representing unknown values. This lesson helps to build fluency with writing equations from word problems involving measurement. Bar models are used here because it supports the...

Lesson objective: Connect the ideas of using a letter to stand for an unknown value and writing area/perimeter equations. This lesson provides an opportunity for students to apply their knowledge and understanding of using letters to represent an unknow...

Lesson objective: Understand that mental estimation strategies, other than rounding, may be more efficient when working with word problems. Students bring prior knowledge of rounding from 3.NBT.A.1 and 3.OA.D.8. This prior knowledge is extended to inclu...

Lesson objective: Use estimation stategies, such as frontend estimation, to determine reasonableness of responses in measurement problems. This lesson helps to build procedural skill with frontend estimation. A tape diagram is used here because it sup...

Lesson objective: Use cluster estimation to estimate sums and products when the numbers being added or multiplied cluster near or are close in value to a single number. This lesson helps to build procedural skill with cluster estimation and help student...

Lesson objective: Extend understanding that addition, subtraction, multiplication, and division can be used to solve multistep measurement problems. Students bring prior knowledge of solving addition, subtraction, multiplication, and division measureme...

Lesson objective: Solve multistep measurement word problems using the standard algorithm for addition and subtration. This lesson helps to build procedural skill with multidigit addition and subtraction using the standard algorithm. Equations are used...

Lesson objective: Analyze realworld division problems to determine how to interpret a remainder. This lesson helps to build procedural skill with interpreting remainders in division word problems. Tape diagrams are used here because it supports student...

Lesson objective: Solve multistep problems involving addition, subtraction, multiplication, and/or division within the context of measurement. This lesson provides an opportunity for students to apply their knowledge and understanding of addition, subt...