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Lesson Summary: In this lesson students will learn how to use order of operations. This lesson includes an introductory discussion, expressions, and game cards.Subject:
Math: Order of Operations
Grade Level:
Target Grade: 7
Upper Bound: 8
Lower Bound: 6
Time Required: 1 class periodAuthors:
Undergraduate Fellow Name: Andrew Shuff Graduate Fellow Name: Bruce Ngo Teacher Mentor Name: Mrs. StallingsDate Submitted: Jan. 2, 2006 Date Last Edited: Jan. 9, 2006Lesson Introduction / Motivation:
If you were asked what the answer to 4 + 3 x 4 equals, what would your answer be? 28? 16? How do you know which is the correct answer. This lesson teaches the order of operations in mathematical expressions so that students can learn how to find which one of those is the correct answer. Lesson Plan:
Ask the students, Why is it important that we do things in a certain order? Try to emphasize the reasoning behind having standards and making sure everyone does things the same way in order to achieve the same answer.
Explain what mnemonics are. Have the students come up with some examples. Write the following on the board:
Please
Excuse
My Dear
Aunt Sally
See if they can figure out why you wrote what you did. It may help to write an expression as an example to work out. They should realize that the mnemonic represents parenthesis, exponent, multiplication, division, addition, and subtraction where the ones on the same line share the same priority.
Choose problems from the list at random. Work through the first few with the students as freebies. Students should be able to match the answer on their Bingo card.
At this point, students should be able to begin solving expressions by themselves. Write one or two more problems on the board chosen randomly from the list. Allow the students ample time to solve the problems.
Continue doing this until you have a bingo. Have that student confirm the answers to the problems on the board. When the bingo is confirmed, the student should get a prize.
Continue with the game until several students bingo or until class is nearly over.
Lesson Closure:
At the beginning of the lesson you were asked what the answer to 4 + 3 x 4 is. So using what you learned is 28 or 16 the right answer? Make sure the students remember the mnemonic for the order of operations.Assessment:
Ask the students to solve more problems using order of operations like these:
6 + 2 x 5 = (16)
(4 + 3)2 5 * 6 = (19)
42 - (7-2) * 3 = (1)
Learning Objectives:
Be able to solve mathematical equations using the correct order of operations.
Prerequisites for this Lesson:
This lesson requires a basic knowledge of exponents.
Background & Concepts for Teachers:
Order of operations in math follow the saying Please Excuse My Dear Aunt Sally for Parenthesis, Exponents, Multiplication, Division, Addition, then Subtraction.
Multimedia Support and Attachments:
There is an HYPERLINK "Order%20of%20Operations.xls" Excel worksheet with the Bingo cards and the equations for each number.
Lesson Scaling:
Students can come up with their own version of the game and find people to play with them.
Please email us your comments on this lesson: E-mail to HYPERLINK "mailto:ljohnson@cvm.tamu.edu" ljohnson@cvm.tamu.eduPlease include the title of the lesson, whether you are a teacher, resident scientist or college faculty and what grade you used it for.
Teacher's Comments: It usually takes a while for someone to bingo. Try not to spend so long on the introduction of the concepts that nobody is able to get a bingo before class ends. Also make sure that you have plenty of prizes, as there is a fairly good chance that you get multiple bingos with the same sets of numbers, depending on how the cards are laid out.
TEKS:
Math
7.2 (E) Simplify numerical expressions by order of operations and exponents
7.2 (F) Select and use appropriate operations to solve problems
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