Videos to help Grade 6 students learn how to identify parts of an expression and expand multiplication expressions.

New York State Common Core Math Module 4, Grade 6, Lesson 10

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Common Core For Grade 6

Lesson 10 Student Outcomes

Students identify parts of an expression using mathematical terms for multiplication. They view one or more parts of an expression as a single entity.

Discussion

When we want to show multiplication of two numbers, like 5 and 7, we typically write 5 × 7, using the “×” to show the operations. When we start to use variables with multiplication, we can use other forms.

1. a × b

2. a • b

3. ab

4. (a)(b)

When writing expressions using the fewest number of symbols, we will have to refrain from using the symbols ×, •, or ().

We will also be using math terms to describe expressions and the parts of an expression. We will be using words like factor, product, quotient, coefficient, and term.

A **term** is a part of an expression that can be added to or subtracted from the rest of the expression. In the expression 7g + 8h + 3, 7g, 8h and 3 are all terms

A **coefficient** is a constant factor in a variable term. For example, in the term 4m, 4 is the coefficient and it is multiplied with m.

Example 1

Write each expression using the fewest number of symbols and characters. Use math terms to describe the expressions and parts of the expressions.

a. 6 × b

b. 4
• 3 • h

c. 2 × 2 × 2 × a × b

d. 5 × m × 3 × p

e. 1 × g × w

Example 2

To expand multiplication expressions we will rewrite the expressions by including the “ • ” back into the expressions.

a. 3g

b. 7abc

c. 12g

d. 3h
• 8

e. 7g • 9h

Example 3

a. Find the product of 4f • 7g

b 3de
• 9yz

c. Double the product of 6y and 3bc.

Lesson Summary

**An Expression in Expanded Form**: An expression that is written as sums (and/or differences) of products whose factors are numbers, variables, or variables raised to whole number powers is said to be in expanded form. A single number, variable, or a single product of numbers and/or variables is also considered to be in expanded form.

Part 1: Writing Multiplication Expressions

Part 2: Expanding Multiplication Expressions

Part 3: Finding Products.

Lesson 10 Exit Ticket

1. Rewrite the expression using the fewest number of symbols and characters possible.

a. 5g • 7h

b. 3 • 4 • 5 • m • n

2. Name the parts of the expression. Then expand.

a. 14b

b. 30jk

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