# Using the Four Operations to Solve Problems Involving Measurement and Conversion

## Measurement & Data – 4th Grade

**Solve problems involving measurement and conversion of measurements.**

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.

**Teacher Notes**

Students should know some benchmarks for units of measurement and when measuring objects, we must decide which unit (a smaller or larger unit) is most appropriate for expressing measurements.

**Student Knowledge Goals**

I know there are different ways we can display measurements.

I know different tools and strategies that you can use to solve measurement problems.

I understand measurement concepts helps us communicate mathematically and make sense of real-life situations.

I can use +, -, x, and ÷ to solve word problems.

I can solve measurement word problems that include whole numbers, fractions, and decimals.

I can convert larger units into equivalent smaller units to solve a problem.

**Vocabulary**

convert

distance

intervals

mass

measurement

measurement scale

number line

scale

volume

**Lessons**

Engage NY Module 7 B-6 - Solve problems involving mixed units of capacity.

Engage NY Module 7 B-7 – Solve problems involving mixed units of length.

Engage NY Module 7 B-8 – Solve problems involving mixed units of weight.

Engage NY Module 7 B-9 – Solve problems involving mixed units of time.

Engage NY Module 7 B-10 – Solve multi-step measurement word problems.

Engage NY Module 7 B-11 – Solve multi-step measurement word problems.

Engage NY Module 7 C-12 – Use measurement tools to convert mixed number measurements to smaller units.

Engage NY Module 7 C-13 – Use measurement tools to convert mixed number measurements to smaller units.

Engage NY Module 7 C-14 – Solve multi-step word problems involving converting mixed number measurements to a single unit.

**Student Video Lessons**

**The lessons below come from Standard 4.MD.A.1, but are useful for 4.MD.A.2 if not viewed yet.*

Virtual Nerd – Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec.

Study Jams – Units of Measurement

Study Jams – US Customary Units of Measurement

Study Jams – Tools of Measurement

Study Jams – Measurement of Length

Study Jams – Measurement of Temperature

**Online Problems and Assessments**

Khan Academy – Questions and Video Lessons

Making change

Price lists with addition and subtraction

Price lists with multiplication

Unit prices

Add and subtract mixed customary units

Add and subtract mixed time units

Elapsed time

Elapsed time: word problems

Find start and end times: multi-step word problems

Add and subtract fractions with unlike denominators in recipes

Solve decimal problems using diagrams

** Online Games**

Measurement Word Problems

**Printables**

Measurement Word Problems

Assessment Task 1

Assessment Task 2

Assessment Task 3

Assessment Task 4

Assessment Task 5Assessment Task 6