1. 8/11/11 ©Evergreen Public Schools 2010 1 The Other Vancouver Teacher Notes Supplies note paper and calculator Vocabulary formula 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. ©Evergreen Public Schools 2010 2 Rewriting Equations & Formulas The Other Vancouver You need paper, pencil and a calculator.

3. ©Evergreen Public Schools 20103 Practice Target Practice 4. Model with mathematics.

4. ©Evergreen Public Schools 2010 4 Learning Target A.CED I can create equations that describe numbers or relationships. A.CED.4 What is the inverse of multiplication?

5. ©Evergreen Public Schools 2010 5 There is another Vancouver. Do you know where it is?

6. ©Evergreen Public Schools 2010 6 What is the temperature in the other Vancouver? Let’s find out. Look in the upper left corner of their online newspaper.newspaper Is it cold, hot or nice?

7. ©Evergreen Public Schools 2010 7 ExploreExplore

8. 8 What is the temperature in the other Vancouver? 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?

9. ©Evergreen Public Schools 2010 9 What is the temperature in the other Vancouver? 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. °F°C

10. ©Evergreen Public Schools 2010 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

11. ©Evergreen Public Schools 2010 11 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? °F°C

12. ©Evergreen Public Schools 2010 12 Find current Write a Celsius temperature conversion What do you notice about both solutions?

13. ©Evergreen Public Schools 2010 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

14. ©Evergreen Public Schools 2010 14 Perimeters of Rectangles What is the formula for the perimeter of a rectangle? P = 2 L + 2 W Complete the table. PerimeterLengthWidth 34 57 109 66

15. ©Evergreen Public Schools 2010 15 Perimeters of Rectangles Find the inverse of the the function P = 2 L + 2 W to write a conversion you can use to complete the table. PerimeterLengthWidth 124 185 2610 197

16. ©Evergreen Public Schools 2010 16 Areas of Triangles What is the formula for the area of a triangle? Complete the table. AreaBaseHeight 34 57 109 66

17. ©Evergreen Public Schools 2010 17 Areas of Triangles Find the inverse of the the function to write a conversion you can use to complete the table. PerimeterLengthWidth 124 185 2610 197

18. ©Evergreen Public Schools 2010 18 Team Practice 1.Solve for w : V = l w h 2.Solve for a : v = 4 + at 3. 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.

19. ©Evergreen Public Schools 2010 19 Debrief Why could it be helpful to rewrite a formula by solving for a different variable?

20. ©Evergreen Public Schools 2010 20 5 3 1 2 4 Learning Target 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. ©Evergreen Public Schools 2010 21 Practice

22. ©Evergreen Public Schools 2010 22 Solve for x. 3 x + 6 = 24 3 x + 4 y = 24 How are the processes the same? How are they different? How are the processes the same? How are they different?