• ##### Device
• TI-Nspire™ CX
• TI-Nspire™ CX CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

• ##### TI-Nspire Version

3.0

Middle Grades Math: The Distributive Property
by Texas Instruments - Action Consequence
TI-Nspire Navigator Lesson

Published on August 31, 2011

#### Objectives

• Students will learn the distributive property of multiplication over addition for real numbers.
• Students will verify that algebraic expressions involving the distributive property are equivalent both graphically and algebraically.
• Apply the properties of operations to generate equivalent expressions (CCSS).
• Identify when two expressions are equivalent (CCSS).
• Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients (CCSS).
• Reason abstractly and quantitatively (CCSSM Mathematical Practice).
• Look for and make use of structure (CCSSM Mathematical Practice).

#### Vocabulary

• Distributive Property of Multiplication over Addition
• real numbers
• equivalent expressions
• coinciding lines

This lesson involves using the graphs of two lines to create equivalent expressions.
As a result, students will:

• Change the values of a and b in the second line until the graphs coincide and explain why this shows that they now have equivalent expressions.
• Generate several other examples and derive a rule for generating equivalent algebraic expressions using the distributive rule, i.e. a(x + c) = ax + ac.
• Change the values of a and c so that the graph a(x + c)matches the graph of one of the form ax + b.
• Generate several other examples and derive a rule for generating equivalent algebraic expressions using the distributive rule in reverse, i.e. ax + aca(x + c).