Videos to help Grade 5 students learn how to write and interpret numerical expressions and compare expressions using a visual model.

Common Core Standards: 5.OA.1, 5.OA.2, 5.NBT.5

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Common Core For Grade 5

New York State Common Core Math Module 2, Grade 5, Lesson 3

Lesson 3 Concept Development

What is an expression?

An expression consists of numbers, symbols and operators grouped together that show the value of something. What is 3 times the sum of 26 and 4? Show a tape diagram and expression.

Lesson 3 Problem Set

From word form to numerical expressions and diagrams.

1. Draw a model. Then write the numerical expressions.

a. The sum of 8 and 7, doubled

b. 4 times the sum of 14 and 26

e. The difference between 4 twenty-fives and 3 twenty-fives

4. Mr. Huynh wrote the sum of 7 fifteens and 38 fifteens on the board. a. Draw a model and write the correct expression.

Problems 1–2: From word form to numerical expressions and diagrams.

3 times the sum of 26 and 4

6 times the difference between 60 and 51

Problem 4: From numerical expressions to word form.

8 × (43 – 13)

Problem 7: Comparison of expressions in word form and numerical form.

9 × 13 ___ 8 thirteens

From word form to numerical expressions and diagrams.

1. Draw a model. Then write the numerical expressions.

a. The sum of 8 and 7, doubled

b. 4 times the sum of 14 and 26

c. 3 times the difference between 37.5 and 24.5

From numerical expressions to word form.

2. Write the numerical expressions in words.

a. 12 × (5 + 25)

b. (62 – 12) × 11

Comparison of expressions in word form and numerical form.

3. Compare the two expressions using >, <, or =. In the space beneath each pair of expressions, explain how you can compare without calculating. Draw a model if it helps you.

a. 24 × (20 + 5) and (20 + 5) × 12

b. 18 × 27 and 20 twenty-sevens minus 1 twenty-seven

c. 19 × 9 and 3 nineteens, tripled

This video demonstrates how to model numerical expressions utilizing tape diagrams. You will also learn how to compare and evaluate expressions.

1. Draw a model then write the numerical expressions.

a. The sum of 21 and 4, doubled

b. 5 times the sum of 7 and 23

2. Write the numerical expressions in words.

a. 10 × (2.5 + 13.5)

3. Compare the two expressions using >, <, or =. In the space beneath each pair of expressions, explain how you can compare without calculating. Draw a model if it helps you.

a. 93 × (40 + 2), (40 + 2) × 39

c. 2 times the difference between 49.5 and 37.5

e. The difference between 9 thirty-sevens and 8 thirty-sevens

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