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Order of Operations and Use of Parentheses**

Fifth Grade Independent Study Packet - Week 1

Workbook

Fifth Grade Independent Study Packet - Week 1

Week 1 of our series contains 5 days of independent activities in reading, writing, math, science, and social studies for fifth grade.

5th grade

Reading & writing

Workbook

Order of Operations: PEMDAS

Worksheet

Order of Operations: PEMDAS

Please excuse my dear aunt sally! Help your child learn and memorize this mnemonic for PEMDAS, the order of operations.

5th grade

Math

Worksheet

Order of Operations Puzzle

Worksheet

Order of Operations Puzzle

Use the rules for the order of operations to write in the missing parenthesis that make each equation true.

4th grade

Math

Worksheet

Math Card Game: Lucky 13

Worksheet

Math Card Game: Lucky 13

Fifth grade is an important time to master addition, subtraction, multiplication, and division. This math card game challenges your child to do just that!

5th grade

Math

Worksheet

Order of Operations and use of Parentheses

Exercise

Order of Operations and use of Parentheses

Reinforce students’ understanding of PEMDAS by practicing the order of operations and using parentheses in this exercise.

5th grade

Math

Exercise

Baseball Math

Workbook

Baseball Math

Get math practice off the bench to calculate percentages, read graphs, add fractions and round decimals to bring math skills all the way home. This book knocks one out of the park for baseball lovers.

5th grade

Math

Workbook

Power Play: Exponents and Equations

Workbook

Power Play: Exponents and Equations

Students familiarize themselves with pre-algebra concepts and vocabulary — including factors, base numbers, exponents, variables, and value — in this introductory overview. This workbook offers plenty of hands-on practice so that students can gain confide

5th grade

Math

Workbook

Expressions & Word Problems

Worksheet

Expressions & Word Problems

Students will review the order of operations and numerical expressions to solve word problems.

5th grade

Math

Worksheet

Expressions and Equations

Guided Lesson

Expressions and Equations

If you think about math as a language, expressions and equations are the sentences. This unit brings students into the world of “math language”, learning how to write complex expressions in different forms and convert numbers in one form to another (i.e.decimals to fractions). Last, students will apply the order of operations to interpret and solve simple algebraic equations.

5th grade

Guided Lesson

Algebra Practice Problems #2

Worksheet

Algebra Practice Problems #2

Need some help with algebra? Your child will practice simplifying algebra equations as he solves for 'x'.

5th grade

Math

Worksheet

Algebra Adventures

Workbook

Algebra Adventures

These math exercises will help your child practice finding coordinates, solving integer problems and factoring numbers to boost his or her algebra skills.

4th grade

Math

Workbook

Algebra Expressions

Worksheet

Algebra Expressions

Assist your child with algebra and review the order of operations: division and multiplication before addition and subtraction, left to right.

5th grade

Math

Worksheet

Number Puzzle: Four Fours

Worksheet

Number Puzzle: Four Fours

Try to create every number from 1 to 50 with the number four by using addition, subtraction, multiplication, division... even exponents and decimals!

5th grade

Math

Worksheet

Evaluating Expressions: Order of Operations with Exponents

Worksheet

Evaluating Expressions: Order of Operations with Exponents

This worksheet introduces fifth graders to a friend who can help them remember the order of operations: PEMDAS! This acronym stands for parentheses, exponents, multiplication, division, addition and subtraction.

5th grade

Math

Worksheet

Multiplication and Addition

Worksheet

Multiplication and Addition

Here's a more challenging review of times tables for master math students. Each problem is a combination of multiplication and addition.

4th grade

Math

Worksheet

Order of Operations Practice #1

Worksheet

Order of Operations Practice #1

Get ready for algebra with some basic order of operations practice problems. After your child solves the equations, he'll have a picture to color in!

5th grade

Math

Worksheet

Parentheses First! Find the Missing Operation #2

Worksheet

Parentheses First! Find the Missing Operation #2

Your fourth grader will use her knowledge of arithmetic to find the missing sign that makes each equation ring true.

4th grade

Math

Worksheet

Order of Operations: First Things First

Worksheet

Order of Operations: First Things First

Hunting for a worksheet that practices basic arithmetic? This printable works with basic computation and order of operations.

3rd grade

Math

Worksheet

Baseball Math: Games Back

Worksheet

Baseball Math: Games Back

Baseball provides great opportunities to learn math concepts. Here's a concept, games back, that requires an algebra formula simple even for 4th grade.

4th grade

Math

Worksheet

Introduction to Algebraic Expressions

Worksheet

Introduction to Algebraic Expressions

Two important concepts are needed for algebraic success: order of operations and combining like terms. Learn all about them with this practice sheet.

5th grade

Math

Worksheet

PEMDAS: Order Up!

Lesson Plan

PEMDAS: Order Up!

Teach students that order matters with this lesson about PEMDAS. Students will practice both in a group and individually to ensure their understanding.

5th grade

Math

Lesson Plan

Parentheses First! Find the Missing Operation #1

Worksheet

Parentheses First! Find the Missing Operation #1

Work on your fourth grader's pre-algebra foundation with this worksheet that reinforces order of operations. He'll figure out which operation is missing!

4th grade

Math

Worksheet

Order of Operations Puzzle 3

Worksheet

Order of Operations Puzzle 3

Practice the rules of the order of operations with a logic puzzle! Write in the missing parentheses to make each equation true.

4th grade

Math

Worksheet

From Words to Symbols: Test Your Math Vocabulary (Part One)

Worksheet

From Words to Symbols: Test Your Math Vocabulary (Part One)

This worksheet provides a great way to test students' knowledge of math vocabulary and math reasoning.

5th grade

Math

Worksheet

Practice with Exponents: There’s More Than One Way to Write a Number!

Worksheet

Practice with Exponents: There’s More Than One Way to Write a Number!

This year, fifth graders will be introduced to the idea that there are many ways to write or represent numbers that are multiplied by themselves.

5th grade

Math

Worksheet

Once students master the basics of arithmetic—addition, subtraction, multiplication, division—they will encounter more complex problems in which more than one operation will be needed to solve the problem. The order of operations is an important concept that must be mastered, for it is the foundation on which the mathematical expression rests. Solve the problem in the wrong order and the answer will also be wrong. Our resources will teach your student how to follow the order of operations and set them up for understanding more complex equations.

The order of operations is a series of rules that tells us which procedures to perform first when evaluating a mathematical expression that has more than one operation (addition, subtraction, multiplication or division). The order of operations is a universal convention that’s followed in mathematics and was established as far back as the 1500s!

Learning the order of operations is so important that when students first learn it, they are taught a mnemonic device:**PEMDAS** (or “Please Excuse My Dear Aunt Sally”)

**P** Parentheses first

**E** Exponents (powers and square root)

**MD** Multiplication and division

**AS** Addition and subtraction

Let’s look at a basic equation with more than one operation:

**2 + 3 x 4**

According to the order of operations, multiplication is done before addition. To make this problem easier to visualize, set off the multiplication problem with parentheses, so we know to solve that first.

Therefore: 2 + (3 x 4)

2 + (12) =**14**

If we didn’t follow the order of operations and just solved the equation from left to right, we would get: (2 + 3) x 4, or 5 x 4 = 20. This answer would be incorrect.

Let’s look at another example with an exponent, which students learn around fifth or sixth grade.

**2 + 3 × 4**^{2}

According to the order of operations, we would solve this equation in this order:

Exponents: 4^{2} = 16

Multiplication: 3 x 16 =48

Addition: 2 + 48 =**50**

Teach your students the order of operations using our worksheets and resources and they’ll have a solid foundation for more advanced algebraic operations!

Learning the order of operations is so important that when students first learn it, they are taught a mnemonic device:

Let’s look at a basic equation with more than one operation:

According to the order of operations, multiplication is done before addition. To make this problem easier to visualize, set off the multiplication problem with parentheses, so we know to solve that first.

Therefore: 2 + (3 x 4)

2 + (12) =

If we didn’t follow the order of operations and just solved the equation from left to right, we would get: (2 + 3) x 4, or 5 x 4 = 20. This answer would be incorrect.

Let’s look at another example with an exponent, which students learn around fifth or sixth grade.

According to the order of operations, we would solve this equation in this order:

Exponents: 4

Multiplication: 3 x 16 =48

Addition: 2 + 48 =

Teach your students the order of operations using our worksheets and resources and they’ll have a solid foundation for more advanced algebraic operations!