1. Come to the front of the classroom and Pick up: 1 sheet of ¼” graph paper 1 Drafting Ruler Find ¼” scale on your drafting ruler. In the upper left corner of graph paper: Key: 1 square equals 1 sq. ft. Draw a 12x16 rectangle. Then Draw a 4x8 to the right of it. Drawing examples are on board. DO NOT PUT YOUR NAME IN THE UPPER RIGHT HAND CORNER unless you wish to receiveCREDIT FOR THIS ASSIGNMENT 1

2. Today we are going to determine the # of plywood sheets it takes to cover our 12x16 floor. »1

3. ? How do we do that? ?? What type of shape is our 12x 16 floor?

4. What is the Formula for the area of a.. Rectangle? 2

5. What is the formula for the area of a… Rectangle? L x W=A L ength Multiplied by W idth equals A rea

6. L x W=A L ength Multiplied by W idth equals A rea What is area?? ??

8. What about A Square? L x W=A Length Multiplied by Width equals Area What is another mathematical formula? Is there another way?

9. A Square? L x W=A L ength Multiplied by W idth equals A rea What is another mathematical formula? Side squared? When is that the best formula?

10. Add columns or rows? 8+8+8+8=32 4+4+4+4+4+4+4+4=32

11. What about a Triangle? How do you find the area of a triangle? What is the formula for a triangle?

12. ½ the base of a triangle multiplied by the height gives you the total area? Area=½ bxh ?

13. Can the area be found with this formula Area=½ hxb?

14. Nice work! But no more fun with Triangles Today! Back to square footage!!

15. Plywood comes in what size?

16. Four Feet by Eight feet. 4’x8’ Why 4x8?

17. Standardization Baby! Uniformity Conformity Predictability

18. Prove It!! Enter Mr. Tape Measure!

19. 4x8=32 Look at our sheet of plywood it is chalk lined to show square feet. If you count, there are 32 squares.(32 sq. ft.) Each square represents 12 inches by 12 “

20. Review Formula for area is?

21. Review Formula for area is? Length times Width (L X W) Our floor is how wide and how long?

22. Review Formula for area is? Length times Width (L X W) Our floor is how wide and how long? 12 feet by 16 feet (12’ x 16’) 12x16

23. Review Formula for area is? Length times Width (L X W) Our floor is how wide and how long? 12 feet by 16 feet (12’ x 16’) Therefore the formula with the answer is…

24. Review Formula for area is? Length times Width (L X W) Our floor is how wide and how long? 12 feet by 16 feet (12’ x 16’) Therefore the formula with the answer is… 12x16=192

25. 12x16=192 square feet There are _______ square feet in a sheet of plywood?

26. 12x16= 192 square feet There are _ 32 _square feet in a sheet of plywood. What is a mathematical formula that will reveal how many sheets of plywood it takes to fit this floor.

27. 12x16= 192 square feet There are _ 32 _square feet in a sheet of plywood? What is a mathematical formula that will reveal how many sheets of plywood it takes to fit this floor. Total Area / unit 192 / 32 = ____

28. 12x16= 192 square feet There are _ 32 _square feet in a sheet of plywood? What is a mathematical formula that will reveal how many sheets of plywood it takes to fit this floor. 192 / 32 = 6 sheets

29. Therefore if we were to optimize our efficiency, we have and even fit of (6) 4x8 plywood with no waste. Note the mathematical formula here. (6)4x8= 6x(4x8) =192

30. If only it always worked out that way.

31. Warning!! The home owner has changed their mind on the Size of the shed!! They must trim expenses!! Allow $75.00 for cost of plywood. Shed must utilize a exactly 5 sheets of plywood

32. The customer wants to see a Different shape shed than a Rectangle. One that uses 5 pieces of plywood.

33. By the end of this lesson you will have turned in: 5 Scale Drawings on graph paper of: 1) 12x16 floor of cabin with plywood laid out. (10pts.) 2) 4x8 plywood(5pts) Name and Period in upper right corner. Change Order 3) 10x16 cabin floor plan showing how plywood will be laid out. (10) 4) 12x14 floor plan for cabin with plywood laid out. (15pts.) 5) Show non rectangle shape that uses (5) 4x8 pieces of plywood. Plywood may be cut. (20pts) For each drawing: Show mathematical formulas by each of the five drawings that demonstrates your understanding. (see fine print) Bonus of up to 30 pts for neatness, detail or creativity beyond my instruction. For each drawing there is double points for showing formula) (150pts possible with bonus)