8/11/11 ©evergreen public schools 2010 1 the other vancouver teacher notes supplies note paper and...

8/11/11

©Evergreen Public Schools 2010

1

The Other VancouverTeacher Notes

Suppliesnote paper and calculator

Vocabularyformula

• This lesson is intended to have students see a purpose for rewriting formulas.

• They convert one way, like Celsius to Fahrenheit.• Then they need to rewrite to convert the other way so they don’t have to

keep solving equations.

NOTE: this lesson is very long. Consider finishing the slide show on the second day.


2

Rewriting Equations & Formulas

The Other Vancouver

You need paper, pencil and a calculator.

©Evergreen Public Schools 2010 3

Practice 4. Model with mathematics.


4

A.CED I can create equations that describe numbers or relationships.

A.CED.4

What is the inverse of multiplication?


5

There is another

Vancouver.

Do you know where it is?


6

What is the temperature in the other Vancouver?


• Let’s find out.• Look in the upper left corner of their

online newspaper.• Is it cold, hot or nice?


7


8



• It may look cold, but notice how the temperature is measured.

• This equation is used to convert temperature in Celsius to Fahrenheit.

• Find the current temperature for the other Vancouver in Fahrenheit.

• Is it cold, hot or nice?

932

5F C


9



• Write down the predicted high and low temperatures for today and the all time

record high and low temperatures for today.

newspaper• Use the equation to convert these

temperatures from Celsius to Fahrenheit.

• Record the data in a table.

932

5F C

°F °C


10

Canadians go south.• If Canadians go south for the winter what

would they think of our temperatures in, our newspaper?

• Be prepared to copy down the predicted high and low temperature for today and tomorrow in our Vancouver.

The Columbian


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Canadians go south.The Columbian

• Convert the high and low temperatures for the next two days from Fahrenheit to Celsius.

• Add this data to your table.

• Is the formula harder to use for us or the Canadians?

932

5F C °F °C


12

Find current Write a Celsius temperature conversion

___ 9

5C 32

32 32

___ 9

5C

5 ___ 9

5C

5

___ 9C

___

9C

F 9

5C 32

32 32

F 329

5C

5 F 32 9

5C

5

5 F 32 9C

5 F 32 9

C

What do you notice about both solutions?

What do you notice about both solutions?


13

The Columbian• The inverse of the Fahrenheit function to

convert the high and low temperatures for the next two days from Fahrenheit to Celsius.

• How does using this formula compare to the other?

Canadians go south.

°F °C

C 5 F 32

9


14

Perimeters of RectanglesPerimeters of Rectangles

What is the formula for the perimeter of a rectangle?

P = 2L + 2WComplete the table.

Perimeter

Length

Width

3 4

5 7

10 9

6 6


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Perimeters of RectanglesPerimeters of Rectangles

Find the inverse of the the function P = 2L + 2W to write a conversion you can use to complete the table.

Perimeter

Length

Width

12 4

18 5

26 10

19 7


16

Areas of TrianglesAreas of Triangles

What is the formula for the area of a triangle?

Complete the table. Area Base Height

3 4

5 7

10 9

6 6

A bh

2


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Areas of TrianglesAreas of Triangles

Find the inverse of the the function to write a conversion you can use to complete the table.

Perimeter

Length

Width

12 4

18 5

26 10

19 7

A bh

2


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Team PracticeTeam Practice

1. Solve for w: V = l w h2. Solve for a: v = 4 + at3. Challenge: Sam says that the following

equations are two ways to write the SAME formula. Decide whether or not you agree with Sam. Explain how you made your decision.

s

n

n 1 n

s

s 1


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DebriefDebrief

Why could it be helpful to rewrite a formula by solving for a different variable?


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5

3

12

4

Did you hit the target?A.CED I can create

equations that describe numbers or relationships.

Rate your understanding of the target from 1 to 5.

5 is a bullseye!


21

PracticePractice


22

Ticket Out

Solve for x.

3x + 6 = 24

3x + 4y = 24

How are the processes the same?

How are they different?

How are the processes the same?

How are they different?

8/11/11 ©evergreen public schools 2010 1 the other vancouver teacher notes supplies note paper and...

Documents

fcevergreen public schools

low temperatures

current temperature

fahrenheit function

time record high

columbianthe inverse

inverse of multiplication

function p