Order of Operations Please!
I.
Goal/Objective.
• Math teachers/participants will use effective strategies for
teaching order of operations.
II.
Math Concepts
•
•
•
•
Ability to Use Order of Operations
Understanding the Rule of Order of Operations
Creating Expressions with Order of Operations
Using Symbols to Show Order of Operations
III. Materials
• 3 bags of 1-6 number cubes for groups of four faculty
• Game Board from Teacher’s Resource Workbook pg 123
Great Source Educational Group – Math on Call
• Bingo Cards and Bingo Chips
• Order of Operations Model Handout(student copy and example)
IV. Management
Things to prepare ahead of time
• Check with building administration to check staff development
calendar to set date and time.
• Create an Expression to Make a “Whole”
• Bingo Cards (Hard Stock)
http://illuminations.nctm.org/LessonDetail.aspx?id=L730
• Order of Operations Model Handout(student copy and example)
Participant Grouping
• Teachers will break up in groups of four
• Each group will need a game board and 3 dies
• Each group will get bingo cards and bingo chips
• Each teacher will need Order of Operations Model handouts
V.
Procedure – Activities can be done in any order.
a. Introduction
The instructor will lead the staff in an oral review in the
properties. The following are some questions to lead the
discussion:
• What does PEMDAS mean?
• Does order matter?
b. Content Activities
Activity 1 Look Out Below!
Math on Call - Teacher’s Resource Workbook pg 59
Great Source Educational Group – Math on Call
This activity allows the teachers to put real events in order. This
demonstrates the importance of order in mathematics. This activity
could be modified by letting the groups create their own sequence of
events and then let the other groups try to put in order. Each Group
will present their results to the class.
Activity 2 Create an Expression to Make a “Whole”
Math on Call - Teacher’s Resource Workbook pg 59
Great Source Educational Group – Math on Call
This activity allows the teachers to play a game to create an
expression that can be simplified to a “whole number”. This activity
could be modified by using 2 different color dice to create an
expression that can be simplified to an “integer”. If a whole number
is produced, then teacher will move that many spaces. If not,
movement is forfeited.
Activity 3 Order of Operation Model
The teacher will practice step-by-step the order of operations and see
the letters that are formed. Then, the teacher will check their results
using a calculator.
Activity 4 Order of Operations Bingo
http://illuminations.nctm.org/LessonDetail.aspx?id=L730
This activity allows the teachers to play bingo to practice order of
operations. The teachers will be given blank bingo cards. The
problems will be displayed up on the sympodium.
Closure
Complete the Exit Evaluation Form
NAME:_____________________PERIOD:_______DATE:____________
Order of Operations MODEL EXAMPLE
Summary of the Basic Steps :
1. Write the problem.
2. Draw a PEMDAS table or GEMDAS table
3. Simplify any groupings first, and write the "G" in the box.
Groupings: ( ), [ ], { }, I I (absolute value) , square root, and / (division
bar)
4. Simplify any exponents and write the "E" in the box.
5. Perform the multiplication and division in order from left to right and
write the "M" or "D" in box.
6. Perform the addition and subtraction from left to right and write the
"A" or "S" box.
G E M D A S
E
D
D
M
S
A
P E M D A S
45 – 56 ÷ 8 – 27 ÷ -(3)2 • 4
45 – 56 ÷ 8 – 27 ÷ -(3)2 • 4
45 – 56 ÷ 8 – 27 ÷ - 9 • 4
45 – 7 – 27 ÷ - 9 • 4
45 – 7 + 3 • 4
45 – 7 + 12
38 + 12
50
Step 1
NAME:_____________________PERIOD:_______DATE:____________
Order of Operations MODEL
Summary of the Basic Steps :
1. Write the problem.
2. Draw a PEMDAS table or GEMDAS table
3. Simplify any groupings first, and write the "G" in the box.
Groupings: ( ), [ ], { }, I I (absolute value) , square root, and / (division
bar)
4. Simplify any exponents and write the "E" in the box.
5. Perform the multiplication and division in order from left to right and
write the "M" or "D" in box.
6. Perform the addition and subtraction from left to right and write the
"A" or "S" box.
G E M D A S
P E M D A S
EXIT EVALUATION
At the end of the activities, each participant will complete an evaluation.
Please do not write your name on the evaluation form.
1. Will you use this lesson in any way in your classroom? If yes, briefly
describe how you will use or modify activities in your classroom.
2. Will you use this lesson in any way in your classroom? If no, give the
reason.
3. Please write ways to improve the lesson and how it to make it better for
my students.