Learning Goal:  IWBAT determine how a scale factor affects the area and perimeter of a geometric figure. Homework :  HW 6.6: Satellite Over Flight Analysis of Letter “H” or “S” Do Now: January 30, ) Sit. 2) Materials out. 3) Backpacks away. 4) Do Now SILENTLY.

Learning Goal:  IWBAT determine how a scale factor affects the area and perimeter of a geometric figure. Homework :  HW 6.6: Satellite Over Flight Analysis of Letter “H” or “S” Do Now: January 30, ) Sit. 2) Materials out. 3) Backpacks away. 4) Do Now SILENTLY.

Agenda  Do Now (5 min)  Homework Check (5 min)  Scale Factor Investigation (45 min)  Satellite Investigation (40 min)  Satellite Discussion (15 min)  Closure (5 min)

Homework Check Goal: Each group will check the homework for completion and accuracy. 1.Lead Facilitators will have group members rotate their homework around the group. 2.Each student checks and grades the homework for completion and accuracy. 3.The Lead Facilitator will write the homework grade below the appropriate date. 4.Place the homework tracker sheet in the Lead Facilitator’s binder. Life Skills Grade : 4.0 : 10 problems 3.7 : 09 problems 3.3 : 08 problems 2.9 : 07 problems 2.5 : 06 problems 2.1 : 05 problems 1.7 : 04 problems 1.3 : 02 problems 1.0 : 01 problem

Opening Question  Jack and Becky walk into the Pizza Palace to get some pizza after seeing a movie. There is a large sign above the counter. “Save Big! Don’t buy two 8-inch pizzas at $7 each when you can buy one 16- inch pizza for $14.” Jack’s not impressed. He doesn’t think you are saving anything. Becky is thrilled because she thinks it’s a great deal. Who do you agree with and why?

P-6 Scale Factor Investigation Goal : Investigate the area and perimeter of scaled figures.  Rectangle A has a base of 2 and a height of 3. Draw Rectangle A on the grid paper.  Calculate the perimeter and area of Rectangle A. Record these in Table 1.

P-7 Scale Factor Investigation Goal : Investigate the area and perimeter of scaled figures.  Rectangle B is created from Rectangle A by using a scale factor of 2. What are the base and height of Rectangle B?  Draw Rectangle B on the grid paper.  Calculate the perimeter and area of Rectangle B. Record these in Table 1.  How many Rectangle A’s fit inside Rectangle B? Record this in Table 1.

P-8 Scale Factor Investigation Goal : Investigate the area and perimeter of scaled figures.  Rectangle C is created from Rectangle A by using a scale factor of 3. What are the base and height of Rectangle C?  Draw Rectangle C on the grid paper.  Calculate the perimeter and area of Rectangle C. Record these in Table 1.  How many Rectangle A’s fit inside Rectangle C? Record this in Table 1.

P-9 Scale Factor Investigation Goal : Investigate the area and perimeter of scaled figures.  Rectangle D is created from Rectangle A by using a scale factor of 4. What are the base and height of Rectangle D?  Draw Rectangle D on the grid paper.  Calculate the perimeter and area of Rectangle D. Record these in Table 1.  How many Rectangle A’s fit inside Rectangle D? Record this in Table 1.

P-10 Scale Factor Investigation Goal : Investigate the area and perimeter of scaled figures.  Look at Table 2. How can I find the “new” perimeters by using the scale factor and the “original” perimeter? (The Perimeter of A is considered the “original” perimeter.) Write a formula using words.  Look at Table 2. How can I find the “new” areas by using the scale factor and the “original” area? (The Area of A is considered the “original” area.) Write a formula using words.

P-11 Scale Factor Investigation Goal : Investigate the area and perimeter of scaled figures.  If a scale factor of 5 is used to change the dimensions of Rectangle A to get Rectangle E, what do you think Rectangle E’s perimeter would be? Explain or show work.  If a scale factor of 5 is used to change the dimensions of Rectangle A to get Rectangle E, what do you think Rectangle E’s area would be? Explain or show work.

P-12 Scale Factor Investigation Goal : Investigate the area and perimeter of scaled figures.  If the dimensions of a rectangle with a perimeter of 16 inches and an area of 15 square inches are changed by using a scale factor of 2, what would the new perimeter and area be? Explain or show work.

P-13 Scale Factor Investigation Goal : Investigate the area and perimeter of scaled figures.  At the Pizza Palace, the diameter of the 8-inch pizza was doubled to create the 16-inch pizza. If you were the owner of the Pizza Palace and charged $7 for an 8-inch pizza, what should you charge for a 16-inch pizza? Explain how you determined the price for the 16-inch pizza.

P-14 Satellite Over Flight: Introduction You have learned that a NASA satellite will be taking photos of your community next month, and the imagery will be used to update Google Earth. A group of students conceives the idea of spelling “GO HUSKIES” on the football field on the day the satellite is scheduled to fly over. The whole school is getting involved in making giant block letters out of white fabric. A student committee comes up with the first design: The letters will be made out of donated bed sheets. A gold fringe will be sewn around the edge of each letter. This design will require a total of 113 square meters of fabric and 215 meters of fringe.

P-15 Satellite Over Flight: Problem After reading about satellite imagery, you realize that the letters will have to be much larger. Suppose each letter is enlarged by a scale factor of 5. How many square meters of fabric and how many meters of fringe will be required? If the letters are enlarged by a scale factor of 10 instead, how many square meters of fabric and how many meters of fringe will be required?

P-16 Satellite Over Flight

P-17 Satellite Over Flight

P-18 Satellite Over Flight: Scale 4

P-19 Satellite Over Flight: Scale 5

P-20 Satellite Over Flight: Perimeter

P-21 Satellite Over Flight: Area

Closure Answer the following prompts in your Do Now log.  How does the perimeter of a rectangle change when the length and width of the rectangle are multiplied by a scale factor of n ?  How does the area of a rectangle change when the length and width of the rectangle are multiplied by a scale factor of n ?