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# 21 st Century Lessons - PowerPoint PPT Presentation

21 st Century Lessons. Evaluating Expression. Primary Lesson Designers: Kristie Conners Sean Moran. Warm Up. OBJECTIVE: SWBAT evaluate algebraic expressions. Language Objective: SWBAT describe the steps to evaluating expressions. .

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21st Century Lessons

Evaluating Expression

Primary Lesson Designers:

Kristie Conners

Sean Moran

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.

Kyle thinks you can figure out the cost of 10 pens with the below.

numerical expression

Quick Discussion:

Algebraic Expression?

Do you agree or disagree?

Explain.

3p+1

Click to reveal next part

Agenda

OBJECTIVE: SWBAT evaluate algebraic expressions.

Language Objective: SWBAT describe the steps to evaluating expressions.

1) Warm Up

Individual

2) Launch

Shopping with Marvin- Whole Class/Pairs

3) Explore- 1

Evaluating with Marvin- Whole Class

4)Explore- 2

Practice with Formulas- Whole Class

Class work: Can’t Wait to Evaluate – Groups

5)Practice

6) Assessment

Exit Slip- Individual

Marvin the Math Magician has a problem for you.

He wants to buy some magic wands

and some magician hats.

The wands cost \$8 each and \$5 for each hat.

How much will Marvin have to pay for 12 wands and 7 hats?

Agenda

The wands cost \$8 each and \$5 for each hat.

How much will Marvin have to pay for 12 wands and 7 hats?

How can we write a to show our answer of 131?

numerical expression

Click to reveal next part

Agenda

How much will Marvin have to pay for 6 wands and 3 hats?

Write an numerical expression to find the answer.

Remember: the wands cost \$8 each and \$5 for each hat.

Click to reveal next part

Agenda

The wands cost \$8 each and \$5 for each hat.

Numerical Expression

7

7

12

12

12 wands

7 hats

3

3

6

6

6 wands

3 hats

What changed in the two examples?

Sometimes it helps to represent a problem as an

algebraic expression.

8w+5h

w= # of wands

h= # of hats

Click to reveal next part

Agenda

How much will Marvin have to pay for 10 wands and 2 hats?

w = 10

h = 2

Algebraic

Expression

This is called substitution!!

h

w

2

10

We just evaluated the expression.

Click to reveal next part

evaluate

Agenda

Find the cost of buying 9 wands and 7 hats.

Steps:

1. Copy the expression.

9

w=

7

h=

h

7

w

9

2. Substitute the value in for the variable.

3. Evaluate using the order of operations.

Click to reveal next part

Agenda

Flashback…

Objective: evaluate algebraic expressions.

We can use the process of evaluating to solve problems in the real world.

For example: engineers, architects and builders use geometric formulas every day.

Circumference

Surface Area

Cylinder

Volume Rectangular Prism

Click to reveal next part

Agenda

Volume is the amount of space a shape takes up. The expression for calculating the volume of the rectangular

prism is below.

or

5ft

Find the volume

5

Steps:

1. Copy the expression.

4ft

9ft

2. Substitute the value in for the variable.

4

9

3. Evaluate using the order of operations.

Click to reveal next part

Agenda

Surface Area is the total of the area of all sides. The expression for calculating the surface area of a rectangular

prism is below.

5ft

Find the volume.

Steps:

1. Copy the expression.

4ft

9ft

2. Substitute the value in for the variable.

4

5

9

5

9

4

3. Evaluate using the order of operations.

Click to reveal next part

Agenda

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=____

Agenda

Can’t Wait To Evaluate!

Click each problem for demonstration

a=____ b=____

Agenda

Kiara was asked to evaluate the expression . Her answer was 14.

Did she substitute 11, 13, or 15? How do you know?