Objective 7.2.1: Demonstrate the commutative, associative, and identity properties of addition and multiplication of whole numbers. Objective 7.2.2: Apply the distributive property to evaluate numerical expressions.

Additional content to be taught:

Computing absolute values

Finding square roots of perfect squares through 225

Evaluating powers

Applying properties of operations to compute with integers, fractions, and decimals

No discussion of the order of operations would be complete without "Please Excuse My Dear Aunt Sally!"
What else can help our students learn this important idea?

Interwrite Lesson Evaluate Expressions
Students will evaluate expressions using order of operations and add parentheses to get certain outcomes.

TI-73 Lessons The Right Combination
In this activity, students use the order of operations and number properties to create a unique expression from a set of numbers that must equal a given number. They will also determine how to correct an expression that does not equal that number. Students also explore the placement of parentheses to ensure number sentences evaluate correctly. Finally, students identify if the Commutative or Associative Properties of Addition and Multiplication are used in different scenarios.Students also explore the placement of parentheses to ensure number sentences evaluate correctly. Finally, students identify if the Commutative or Associative Properties of Addition and Multiplication are used in different scenarios. I have taught this lesson with 7th graders, and it went really well! The students were engaged and seemed to enjoy solving the problems in the lesson. These problems would also work well as bellringers.

Squares - Perfect or Not
In this activity, students explore the relationship between a number and its square roots. Students estimate square roots by finding the next closest perfect square. Then, students look at the use of square roots in different situations, including finding the perimeter of a square, given the area.

Understanding the Properties of Arithmetic: A Prerequisite for Succes in Algebra Mathematics Teaching in the Middle School, Aug. 2006, pp. 23-25.

## Table of Contents

## ACOS Objective 2

Use order of operations to evaluate numerical expressions.ARMT Possible Points = 4 (MC, GR)

Sample problems from Item Specs

## Prerequisites from Curriculum Guide

Objective 7.2.1:Demonstrate the commutative, associative, and identity properties of addition and multiplication of whole numbers.Objective 7.2.2:Apply the distributive property to evaluate numerical expressions.Additional content to be taught:No discussion of the order of operations would be complete without "Please Excuse My Dear Aunt Sally!"

What else can help our students learn this important idea?

Interwrite LessonEvaluate Expressions

Students will evaluate expressions using order of operations and add parentheses to get certain outcomes.

TI-73 LessonsThe Right Combination

In this activity, students use the order of operations and number properties to create a unique expression from a set of numbers that must equal a given number. They will also determine how to correct an expression that does not equal that number. Students also explore the placement of parentheses to ensure number sentences evaluate correctly. Finally, students identify if the Commutative or Associative Properties of Addition and Multiplication are used in different scenarios.Students also explore the placement of parentheses to ensure number sentences evaluate correctly. Finally, students identify if the Commutative or Associative Properties of Addition and Multiplication are used in different scenarios.

I have taught this lesson with 7th graders, and it went really well! The students were engaged and seemed to enjoy solving the problems in the lesson. These problems would also work well as bellringers.Squares - Perfect or Not

In this activity, students explore the relationship between a number and its square roots. Students estimate square roots by finding the next closest perfect square. Then, students look at the use of square roots in different situations, including finding the perimeter of a square, given the area.

Understanding the Properties of Arithmetic: A Prerequisite for Succes in AlgebraMathematics Teaching in the Middle School,Aug. 2006, pp. 23-25.