**Subject Area:**Mathematics

**Grade:**5

**Domain-Subdomain:**Operations and Algebraic Thinking

**Cluster:**Level 1: Recall

**Cluster:**Write and interpret numerical expressions. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

**Date Adopted or Revised:**02/14

**Date of Last Rating:**02/14

**Status:**State Board Approved

**Assessed:**Yes

**Assessment Limits :**

Expressions may contain whole numbers and up to one fraction with a denominator of 10 or less. Items may not require division with fractions. Items may not contain nested grouping symbols.**Calculator :**No

**Context :**No context

**Test Item #:**Sample Item 1**Question:**What is the value of the expression ?

**Difficulty:**N/A**Type:**EE: Equation Editor

**Test Item #:**Sample Item 2**Question:**A numerical expression is evaluated as shown.

Step 1:

Step 2:

Step 3:

Step 4:

In which step does a mistake first appear?

**Difficulty:**N/A**Type:**MC: Multiple Choice

**Test Item #:**Sample Item 3**Question:**What is the value of the expression ?

**Difficulty:**N/A**Type:**EE: Equation Editor

## Related Courses

## Related Access Points

## Related Resources

## Assessments

## Formative Assessments

## Lesson Plans

## Original Student Tutorials

## Problem-Solving Tasks

## Tutorials

## Unit/Lesson Sequence

## Virtual Manipulative

## STEM Lessons - Model Eliciting Activity

This MEA is designed so that students will practice knowledge learned from Order of Operations. In the process, students will analyze marketing and advertising data in order to help Fly Runners Running Shoes choose the appropriate magazine to advertise with.

## MFAS Formative Assessments

Students are asked to evaluate two similar expressions and explain why the answers are different.

Students are asked to insert parentheses into an expression in two different ways, evaluate each way, and explain why the answers are different.

Students are given an equation and asked to place parentheses within the equation to make the equation true.

Students consider two different yet similar equations and determine if they are true.

## Original Student Tutorials Mathematics - Grades K-5

Learn to evaluate expressions that have all four operations (multiplication, division, addition, and subtraction) and parentheses as you settle debates in this interactive tutorial.

## Computer Science Original Student Tutorials

Construct efficient lines of code using condition- and if-statements to solve equations as you complete this interactive tutorial. You'll also review the order of operations in expressions. This is part 2 of a 4-part series on coding.

Learn how to perform instructions using an if statement and explore relational operators (less than, greater than, equal and not equal to) and how they are used to compare to values in this interactive tutorial.

Learn how to use repeat loops in this interactive tutorial. Repeat loops iterate though a list of instructions based on a desired number of times. Combined with variables, condition statements, if statements, and repeat loops we practice using order of operations to code.

Click below to check out the other tutorials in the series.

## Student Resources

## Original Student Tutorials

Learn how to use repeat loops in this interactive tutorial. Repeat loops iterate though a list of instructions based on a desired number of times. Combined with variables, condition statements, if statements, and repeat loops we practice using order of operations to code.

Click below to check out the other tutorials in the series.

Type: Original Student Tutorial

Learn how to perform instructions using an if statement and explore relational operators (less than, greater than, equal and not equal to) and how they are used to compare to values in this interactive tutorial.

Type: Original Student Tutorial

Construct efficient lines of code using condition- and if-statements to solve equations as you complete this interactive tutorial. You'll also review the order of operations in expressions. This is part 2 of a 4-part series on coding.

Type: Original Student Tutorial

Learn to evaluate expressions that have all four operations (multiplication, division, addition, and subtraction) and parentheses as you settle debates in this interactive tutorial.

Type: Original Student Tutorial

## Problem-Solving Task

This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. This type of problem helps students to see structure in numerical expressions. In later grades they will be working with similar ideas in the context of seeing and using structure in algebraic expressions.

Type: Problem-Solving Task

## Tutorials

This Khan Academy tutorial video presents the application of parentheses notation in an expression.

Type: Tutorial

In this video, you will work through an example to correctly use the order of operations.

Type: Tutorial

In this video, you will see why it is important to have one agreed upon order of operations.

Type: Tutorial

## Virtual Manipulative

In this activity, students practice solving algebraic expressions using order of operations. The applet records their score so the student can track their progress. This activity allows students to practice applying the order of operations when solving problems. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Virtual Manipulative

## Parent Resources

## Problem-Solving Tasks

The purpose of this game is to help students think flexibly about numbers and operations and to record multiple operations using proper notation. Students eager to knock down all of the pins quickly develop patterns in their expressions. They may re-use parts of an expression, perhaps changing just the final operation.

Type: Problem-Solving Task

This problem asks the student to evaluate six numerical expressions that contain the same integers and operations yet have differing results due to placement of parentheses. This type of problem helps students to see structure in numerical expressions. In later grades they will be working with similar ideas in the context of seeing and using structure in algebraic expressions.

Type: Problem-Solving Task