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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

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

b. 4 • 3 • h

c. 2 × 2 × 2 × a × b

d. 5 × m × 3 × p

e. 1 × g × w

Example 2

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 Lesson 10 Problem Set

1.Rewrite the expression in standard form (use the fewest number of symbols and characters possible).

a. 5 · y

b. 7 · d · e

c. 5 · 2 · 2 · y · z

d. 3 · 3 · 2 · 5 · d

2. Write the following expressions in expanded form.

a. 3g

b. 11mp

c. 20yz

d. 15abc

3. Find the product.

a. 5d · 7g

b. 12ab · 3cd

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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

Related Topics:

Lesson Plans and Worksheets for Grade 6

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 6

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)

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

A

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 × bb. 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. 3gb. 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

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 Lesson 10 Problem Set

1.Rewrite the expression in standard form (use the fewest number of symbols and characters possible).

a. 5 · y

b. 7 · d · e

c. 5 · 2 · 2 · y · z

d. 3 · 3 · 2 · 5 · d

2. Write the following expressions in expanded form.

a. 3g

b. 11mp

c. 20yz

d. 15abc

3. Find the product.

a. 5d · 7g

b. 12ab · 3cd

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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