Course: Sixth Grade Math DETAIL LESSON PLAN
Student Objective
6.EE.2c TSW… evaluate expressions using substitution and the order of operation steps.
Lesson
Writing and Evaluating Expressions
Using order of operations with exponents
Bellwork
Prior Knowledge
· Review bellwork.
· Review homework.
· This week we have been learning about Order of Operations.
Anticipatory Set
· Today we are going to learn how to evaluate a variable expression by first using substitution and then using the order of operation steps.
· Display picture of Colin playing baseball.
In baseball, what does it mean to substitute players? (Listen to responses from students.)
Then explain that in baseball when you substitute players, it means that you replace one player for another player.
· Display an example of a variable expression that is to be evaluated.
When evaluating variable expressions you are doing the same thing.
You are taking the variable out and replacing it with real number.
· Let’s look at a couple of examples, and then we are going to do a quick activity.
Teacher Input
· Pass out student notes.
· Review how to evaluate a variable expression using substitution and the order of operation steps (flow map).
· Activity (math-to-music):
Work practice problems timed to music.
Review answers.
· Pass out independent work/homework.
Assessment
Question the students for understanding. Monitor students as they work on you- try problems.
Closure
1. Who can tell me why mathematicians invented exponents?
2. Who can tell me why mathematicians invented order of operations?
3. Explain how you handle the multiplication/division. (Always messes students up the most).
4. Explain how you handle the addition/subtractions.
5. How do you evaluate a variable expression?
What is substitution in baseball?
Evaluating Variable Expressions
4 + (x + 3) ∙ 5 , where x = 8
Sixth Grade Evaluating Variable Expressions Lesson 6.2.2
To EVALUATE a variable expression:
Evaluate each expression (examples).
1. 4 + (x + 3) ∙ 5 , if x = 8 2. 6(18 - 2y)² , if y = 7
4 + (8 + 3) ∙ 5 6(18 – 2 ∙ 7)²
= 4 + 11 ∙ 5 = 6(18 – 14)²
= 4 + 55 = 6 ∙ 4²
= 59 = 6 ∙ 16
= 96
You Try
Evaluate if a = 5, b = 6, c = 4, and d = 3
1. ab + cd 2. (9 + a) ÷ 7 ∙ b 3. (a – d)⁴ + (c – d)
Sixth Grade Evaluating Variable Expressions Lesson 6.2.2
To EVALUATE a variable expression:
Evaluate each expression (examples).
1. 4 + (x + 3) ∙ 5 , if x = 8 2. 6(18 - 2y)² , if y = 7
You Try
Evaluate if a = 5, b = 6, c = 4, and d = 3
1. ab + cd 2. (9 + a) ÷ 7 ∙ b 3. (a – d)⁴ + (c – d)
Name: ______Date: ______Period: _____
Remember… no work shown, no credit!
1. Compare using >, < or =. (32 ÷ 4) + (5 ∙ 3) ____ 9 ÷ 3 ∙ 2 + 32
A)
B)
C) =
2.
3. Evaluate the following expression: 3a2- 2 ,where a= 5
4. Evaluate the following expression: y2+ 2y+5 ,where y= 6
5. Evaluate the following expression: 3 ∙ 2m+5² , where m=2