Algebra 1 (Honors) Lesson

Rewriting Expressions Using Real Number Properties

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8th GradeBTC Style / Thinking ClassroomsUse the structure of an expression to write it in multiple ways.50 min

Learning Objective

Students will identify, name, and apply the addition properties (identity, inverse), multiplicative identity, multiplicative inverse, multiplicative property of zero, associative property, and commutative property to rewrite expressions in equivalent forms and evaluate efficiently.

Lesson Overview

Students progress from identifying named properties in simple numeric expressions to strategically applying multiple properties to rewrite and evaluate algebraic expressions, building flexibility in how they see and manipulate structure.

Materials

Vertical whiteboards or large paper on desks
Dry-erase markers (one per student)
Pencils and notebook paper for notes

Scaffolded Task Progression

1Task 1

Match each equation to the property it illustrates. Write the property name next to each equation on your board.
a)

8 + 0 = 8

- 3 + 3 = 0

7 \cdot 1 = 7

6 \cdot 0 = 0

\frac{2}{3} \cdot \frac{3}{2} = 1

2Task 2

Each equation below has a blank. Fill in the blank AND name the property used.
a)

- 15 + = 0

\cdot \frac{4}{7} = 1

99 \cdot = 99

+ (- 6.2) = - 6.2

\frac{5}{8} \cdot = 0

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