In this unit students will build a conceptual understanding of the relative sizes of units of measure within a single system of measurement. Students will be introduced to customary and metric units of measure (km, m, cm; kg, g; lb, oz; l, ml; hr, min, sec). Students will use place value charts, double number lines, and function tables to model the multiplicative comparison and convert units of measure from larger units to smaller units within the same system.
Key Concepts:
 In a multidigit whole number, a digit in one place represents ten times what it represents in the place to the right.
 Multiplication can be thought of as a comparison in contexts other than place value.
 Multiplicative comparison can be used to convert units of length, mass, volume, and time.
 Within one system of measurement, different units of measure can be used to represent the same quantity.
Prior Knowledge Needed:
 100 can be thought of as a bundle of ten tens — called a "hundred”; (Grade 2, Unit 6; 2.NBT.A.1a)
 There is an inverse relationship between the size of a unit of measurement and the number of those units it takes to equal a given length; (Grade 2 Unit 2; 2.MD.A.2)
 Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l); (Grade 3 Unit 14; 3.MD.A.2)
 Multiply a whole number of up to four digits by a onedigit whole number, and multiply two twodigit numbers, using strategies based on place value and the properties of operations; (Grade 4, Unit 2; 4.NBT.B.5)
Units on the Horizon:
 Solving Problems Using Multiplicative Comparison (Grade 4, Unit 7)
 Solving Measurement Problems Using the Four Operations (Grade 4, Unit 8)
 Performing Operations with Decimals (Grade 5, Unit 10)
Lessons

Lesson objective: Understand that the metric system is related to the base 10 place value system and that structure can be used to convert units of metric length. Students bring prior knowledge of place value from 2.NBT.A.1.A. This prior knowledge is ex...

Lesson objective: Convert metric units of length from larger units to smaller units by looking at the relationship between the metric system and the base 10 system. This lesson helps to build procedural skill with metric conversions. A place value table...

Lesson objective: Convert metric measures of mass and capacity from larger units to smaller units by looking at the relationship between the metric system and the base 10 system. This lesson helps to build procedural skill with metric conversions. A pla...

Lesson objective: Use conversions to compare metric measurements. This lesson provides an opportunity for students to apply their knowledge and understanding of the metric system to a mathematical situation. Students are given a set of measurements of m...

Lesson objective: Understand that larger units of customary measurement can be converted to smaller units with multiplication. Students bring prior knowledge of measurement from 2.MD.A.1. This prior knowledge is extended to converting units of length fr...

Lesson objective: Convert customary units of measure from larger units to smaller units. This lesson helps to build procedural skill with measurement conversions. A double number line is used here because it supports the idea that two different measurem...

Lesson objective: Convert customary units of length using a double number line. This lesson provides an opportunity for students to apply their knowledge and understanding of converting units of measure to a mathematical situation. Students are asked to...

Lesson objective: Understand that larger units of time can be converted to smaller units of time using multiplication. Students bring prior knowledge of units of time from 2.MD.C.7. This prior knowledge is extended to conversions of time as students con...

Lesson objective: Practice converting units of time from larger units to smaller units. This lesson helps to build procedural skill with conversions of time. A function table is used here because it highlights the connection between converting from larg...

Lesson objective: Solve problems converting units of time from larger units to smaller units. This lesson provides an opportunity for students to apply their knowledge and understanding of conversions of time to a reallife situation. Students are asked...