1. Chapter 4 4.4 & 4.5 Relating Area Units & Expressing Area in Different Systems You will need your data pages to complete the following. Use only these data pages not your workbook for the conversions. Power Point Presentation 4.4

2. The following is a lesson on how to do an area conversion. This is slightly different than a linear conversion. So pay close attention to the set up and the order things are done, because this is how you are to set up your conversions. (When marking assignments and tests we will be looking for the set up). As well as look for the difference(s) between area conversions and linear conversions.

3. Question: How many m 2 are there in 45 000 cm 2 ?

4. To begin start with what you know: 45 000 cm 2

5. How many m 2 are there in 45 000 cm 2 ? Next set up your conversion factor by adding a times sign and a line 45 000 cm 2 x ________

6. How many m 2 are there in 45 000 cm 2 ? Write the units you want on the top and the units your getting rid of on the bottom - this way the units cancel out 45 000 cm 2 x ________ m 2 cm 2

7. How many m 2 are there in 45 000 cm 2 ? Write the units you want on the top and the units your getting rid of on the bottom - this way the units cancel out 45 000 cm 2 x ________ m 2 cm 2

8. How many m 2 are there in 45 000 cm 2 ? Then look at your data pages, you will see that you do not have the correct units to fill in your conversion. The data pages only include linear measurements. So you will have to build your conversion factor. When converting within the same system of units begin with the larger unit, in this case it is m 2 (meters square).

9. How many m 2 are there in 45 000 cm 2 ? Remember that square comes from area which is determined by length and width, so:

10. How many m 2 are there in 45 000 cm 2 ? Remember that square comes from area which is determined by length and width, so: 1 m 2 = 1 m x 1 m (however 1 m = 100 cm) therefore

11. How many m 2 are there in 45 000 cm 2 ? Remember that square comes from area which is determined by length and width, so: 1 m 2 = 1 m x 1 m (however 1 m = 100 cm) therefore 1 m 2 = 100 cm x 100 cm

12. How many m 2 are there in 45 000 cm 2 ? Remember that square comes from area which is determined by length and width, so: 1 m 2 = 1 m x 1 m (however 1 m = 100 cm) therefore 1 m 2 = 100 cm x 100 cm 1 m 2 = 10 000 cm 2

13. How many m 2 are there in 45 000 cm 2 ? Remember that square comes from area which is determined by length and width, so: 1 m 2 = 1 m x 1 m (however 1 m = 100 cm) therefore 1 m 2 = 100 cm x 100 cm 1 m 2 = 10 000 cm 2 You have now created a conversion factor that you can use in your conversion

14. How many m 2 are there in 45 000 cm 2 ? Now substitute your conversion factor into the formula so that the numbers match up with the units: 45 000 cm 2 x _1______ m 2 10 000 cm 2 Remember to include your units.

15. How many m 2 are there in 45 000 cm 2 ? Solve the question (45 000 x 1 ÷ 10 000)= 45 000 cm 2 x _1______ m 2 = 4.5 m 2 10 000 cm 2 Remember to include your units.

16. By setting up your conversion the same each time you will ensure that you get a correct answer. This is the process that is to be used to complete all assignments, even if it is simple and you “know” how to do it, it is good to practice on those questions so that you will know how to do it on the harder questions.

17. Question How many square inches are there in 48 square feet?

18. To begin start with what you know: 48 ft 2

19. How many square inches are there in 48 square feet? Next set up your conversion factor by adding a times sign and a line 48 ft 2 x _________

20. How many square inches are there in 48 square feet? Write the units you want on the top and the units your getting rid of on the bottom - this way the units cancel out 48 ft 2 x _________ in 2 ft 2

21. How many square inches are there in 48 square feet? Write the units you want on the top and the units your getting rid of on the bottom- this way the units cancel out 48 ft 2 x _________ in 2 ft 2

22. How many square inches are there in 48 square feet? Remember that your data pages do not have the numbers you need to fill in your conversion, so you will have to build your conversion factor. When converting within the same system of units begin with the larger unit, in this case it is ft 2.

23. How many square inches are there in 48 square feet? Remember that “squared” comes from area which is determined by length and width, so: 1 ft 2 = 1 ft x 1 ft (however 1 ft = 12 inches) therefore

24. How many square inches are there in 48 square feet? Remember that “squared” comes from area which is determined by length and width, so: 1 ft 2 = 1 ft x 1 ft (however 1 ft = 12 inches) therefore 1 ft 2 = 12 in x 12 in

25. How many square inches are there in 48 square feet? Remember that “squared” comes from area which is determined by length and width, so: 1 ft 2 = 1 ft x 1 ft (however 1 ft = 12 inches) therefore 1 ft 2 = 12 in x 12 in 1 ft 2 = 144 in 2

26. How many square inches are there in 48 square feet? Remember that “squared” comes from area which is determined by length and width, so: 1 ft 2 = 1 ft x 1 ft (however 1 ft = 12 inches) therefore 1 ft 2 = 12 in x 12 in 1 ft 2 = 144 in 2 This is your conversion factor.

27. How many square inches are there in 48 square feet? Fill in the conversion factor so that the numbers match up with the units. 48 ft 2 x __144____ in 2 1 ft 2

28. How many square inches are there in 48 square feet? Solve the question (48 x 144 ÷ 1 = ) 48 ft 2 x __144____ in 2 = 6912 in 2 1 ft 2 Remember to include your units.