1 Warm Up 2 OBJECTIVE SWBAT evaluate algebraic expressions Language Objective SWBAT describe the steps to evaluating expressions A magic store is selling exploding pens for 3 each plus 1 for tax ID: 440522
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Slide1
Evaluating Expression
1Slide2
Warm Up
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OBJECTIVE: SWBAT evaluate algebraic expressions.
Language Objective: SWBAT describe the steps to evaluating expressions.
A magic store is selling exploding pens for $3 each plus $1 for tax.
Do you agree or disagree?
Explain.
Kyle thinks you can figure out the cost of 10 pens with the below.
numerical expression
Quick Discussion:
Algebraic Expression?
3p+1
Click to reveal next partSlide3
Launch- Shopping with Marvin
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Marvin
the Math
Magician has a problem
for you.
How
much will Marvin have to pay for 12 wands and 7 hats?
He wants to buy some magic wands
and some magician
hats.
The wands cost $8 each and $5 for each hat. Slide4
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How
much will Marvin have to pay for
12
wands and 7 hats?
The wands cost $8 each and $5 for each hat.
How did you get your answer?
How can we write a to show our answer of 131?
numerical expression
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Launch- Shopping with MarvinSlide5
Explore 1- Evaluating with Marvin
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How much will Marvin have to pay for 6 wands and 3 hats?
Remember: the wands cost $8 each and $5 for each hat.
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Write an numerical expression to
find the answer. Slide6
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What changed in the two examples?
8w+5h
Sometimes it helps to represent a problem as an
algebraic expression.
Numerical Expression
The wands cost $8 each and $5 for each hat.
w
= # of wands
h
= # of hats
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12 wands
7 hats
6 wands
3 hats
12
7
6
3
12
7
6
3
Explore 1- Evaluating with MarvinSlide7
7
Algebraic
Expression
10
2
w
h
This is called substitution!!
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We just
evaluated
the expression.
w =
10
h
=
2
How much will Marvin have to pay for 10 wands and 2 hats?
Explore 1- Evaluating with MarvinSlide8
8
w
=
h
=
9
7
w
h
Find the cost of buying 9 wands and 7 hats.
Steps:
1. Copy
the
expression.
2. Substitute the value in for the variable.
3. Evaluate using the order of operations.
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9
7
Explore 1- Evaluating with MarvinSlide9
Explore 2- Formulas
9
Flashback…
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Objective:
evaluate algebraic
expressions.
For example: engineers, architects and builders use geometric formulas every day.
Circumference
Volume Rectangular Prism
Surface Area
Cylinder
We can use the
process of evaluating
to solve problems in the real world.Slide10
Explore 2- Formulas
10
Volume is the amount of space a shape takes up. The expression for calculating the volume of the rectangular
prism is below.
Find the volume
9
ft
4
ft
5
ft
5
9
4
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Steps:
1. Copy
the
expression.
2. Substitute the value in for the variable.
3. Evaluate using the order of operations.
orSlide11
9
ft
4
ft
5
ft
11
Surface Area is the total of the area of all sides. The expression for calculating the surface area of a rectangular
prism is below.
Find the volume.
Click to reveal next part
Steps:
1. Copy
the expression. 2. Substitute the value in for the variable.
3. Evaluate using the order of operations.
9
4
5
9
4
5
Explore 2- FormulasSlide12
Practice- Class work
12
Can’t Wait To Evaluate!
Directions: Each group receives a set of Evaluation Cards along with two different colored number cubes. Before starting, the team decides which color cube stands for which variable. (Example: the red cube replaces
a
, the green cube replaces
b.) One person in the group rolls the number cubes. Students use the numbers to evaluate the expression.a=____ b=____ Slide13
Summary
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a=____
b
=____
Click each problem for demonstration
Can’t Wait To Evaluate!Slide14
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Exit Slip
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Kiara
was asked to evaluate the expression . Her answer was
14.
Did she substitute 11, 13, or 15? How do you know?
Answer : 13
27 –
13
14