classroom and Pick up 1 sheet of graph

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 12 x 16 rectangle. Then Draw a 4 x 8 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 receive CREDIT FOR THIS ASSIGNMENT

• Today we are going to determine the # of plywood sheets it takes to cover our 12 x 16 floor. » 1

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

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

• What is the formula for the area of a… • Rectangle? • L x W=A • Length Multiplied by Width equals Area

• L x W=A • Length Multiplied by Width equals Area • What is area? ? • ? ?

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

• A Square? • L x W=A • Length Multiplied by Width equals Area • What is another mathematical formula? • Side squared? • When is that the best formula?

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

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

• What is the formula for a triangle? • ½ the base of a triangle multiplied by the height gives you the total area? • Area=½ bxh ?

• Area=½ bxh ? • Can the area be found with this formula • Area=½ hxb?

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

Plywood comes in what size?

Four Feet by Eight feet. 4’x 8’ Why 4 x 8?

• Standardization Baby! • Uniformity • Conformity • Predictability

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

• 4 x 8=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 “

• Review • Formula for area is?

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

• 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’) • 12 x 16

• 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…

• 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… • 12 x 16=192

• 12 x 16=192 square feet • There are _______ square feet in a sheet of plywood?

192 square feet There are _32_square feet in a sheet of plywood. • 12 x 16= • • What is a mathematical formula that will reveal how many sheets of plywood it takes to fit this floor.

192 square feet There are _32_square feet in a sheet of plywood? • 12 x 16= • • What is a mathematical formula that will reveal how many sheets of plywood it takes to fit this floor. • Total Area / unit • 192 / 32 = ____

192 square feet There are _32_square feet in a sheet of plywood? • 12 x 16= • • What is a mathematical formula that will reveal how many sheets of plywood it takes to fit this floor. • 192 / 32 = 6 sheets

• Therefore if we were to optimize our efficiency, we have and even fit of (6) 4 x 8 plywood with no waste. • Note the mathematical formula here. • (6)4 x 8= 6 x(4 x 8) =192

• If only it always worked out that way.

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

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

• By the end of this lesson you will have turned in: • 5 Scale Drawings on graph paper of: • • 1) 12 x 16 floor of cabin with plywood laid out. (10 pts. ) 2) 4 x 8 plywood (5 pts) Name and Period in upper right corner. Change Order 3) 10 x 16 cabin floor plan showing how plywood will be laid out. (10) 4) 12 x 14 floor plan for cabin with plywood laid out. (15 pts. ) • 5) Show non rectangle shape that uses (5) 4 x 8 pieces of plywood. Plywood may be cut. (20 pts) • 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) (150 pts possible with bonus)