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Handy Worksheets and Lesson Plan For Order of Operations

written by: KellenKautzman • edited by: Trent Lorcher • updated: 8/25/2014

Download some order of operations worksheets, free to educators.These worksheets can be used in your math class to help your students learn the proper order of operations in a simple and straightforward way.

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    Basic, Intermediate, and Advanced Worksheets

    Check out the order of operations worksheets. Below the links you will samples from each worksheet. The link should provide an Numbers Calculations immediate download.

    Download Basic Worksheet / Samples

    1. 19 - 5 + 13

    2. (20 ÷ 5) × 12

    Download Intermediate Worksheet / Samples

    1. 21 ÷ 7 × (6 ÷ 3) + 1

    2. 16 + 16 × 24 + 3

    Download Advanced Worksheet / Sample

    1. 26 × 2 × 2 + 7 × 13 + 10 × 11 - 9

    2. 55 - 13 + 5 × (26 × 3 × 14) + (21 ÷ 7) - 11

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    Order of Operations : Brief Overview (Excluding Exponents)

    Teach your class using the examples below. Tell them when you have an expression with more than one operation you need to know the order of operations.

    1. Look for (parentheses). If you see an equation that looks like this:

    8+(4-1)

    You would first take 4-1 because it is inside the parentheses.

    2. Working from left to right, finish all multiplication and division.

    8 x 4/2

    This can be done in two ways.

    8 x 4 = 32/2 = 16

    or

    4/2 = 2 x 8 = 16

    3. Working from left to right, finish all addition and subtraction.

    17 + 6 – 3 = 20

    There you have it!

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    Sites to Find Order of Operations Worksheets

    You will find more free order of operations worksheets at the sites listed below:

    Teach-nology - has over 28 order of operations worksheets, ranging from basic to advanced in HTML format.

    Teacher's corner - has an order of operation worksheet builder where you can include or exclude addition, subtraction, multiplication, division, parentheses, and exponents from the worksheet you build. Click on a box to avoid negative numbers. Choose the font size, number of problems and columns and click on create.

    About - offers free order of operation worksheets in PDF format that you can download and print.

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    Teaching Order of Operations - Differentiated Learning

    The first lesson that you teach involving order of operations will involve the basic steps. Once you have finished the main lesson have multiple worksheets printed out, ready for your students. Have your students begin with the basic worksheet to see if they can complete it without help. The GT (Gifted/Talented) students that you have might be bored with the basic worksheet and should complete it quickly. Make sure to give your students the opportunity to advance to their appropriate level and both they, and you, will be happy about that decision.

    By having the Basic, Intermediate, and Advanced worksheets at your students' fingertips they will be able to advance at their own pace. This simple differentiated learning offering will make all the difference to your students!

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    Order of Operation: Full Example Problem

    (From www.math.com)

    4 x 20/4 - 7 x 3 + 55 =

    Either multiply 4 x 20 to get 80, or take 20/4 to get 5.

    4 x 5 - 21 + 55 =

    OR

    80/4 - 21 + 55 =

    (4 x 5 and 80/4 both = 20)

    20 - 21 + 55 =

    Now finish adding and subtracting and you will get the answer.

    54

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