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Warm-up Transformation rules:

Warm-up Transformation rules: If the Perimeter _________ or ___________ by a factor of ____, then the new perimeter __________ or __________ by a factor of _____. If the Area __________ or __________ by a factor of ______, then the new area ____________ or _____________ by a factor of _____.

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Warm-up Transformation rules:

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  1. Warm-up Transformation rules: • If the Perimeter _________ or ___________ by a factor of ____, then the new perimeter __________ or __________ by a factor of _____. • If the Area __________ or __________ by a factor of ______, then the new area ____________ or _____________ by a factor of _____.

  2. Notes: Make some predictions… • If the sides of a rectangle where increased by a factor of 12, by what factor would the perimeter increase? • If the sides of a rectangle where decreased by a factor of 1/6, by what factor would the perimeter decrease? • If the sides of a rectangle where increased by a factor of 8, by what factor would the area increase? • If the sides of a rectangle where decreased by a factor of 1/5, by what factor would the area decrease?

  3. A room that was 3 feet by 5 feet in the floor plans has had the dimensions enlarged by a factor of 4. How much carpet will you need for the new room? A.     A. 16 square feet B.     B. 240 square feet C.     C. 60 square feet 2 D. 56 square feet

  4. The Smith family got a new puppy and fenced in a rectangular area with a length of 5 feet and a width of 4 feet. After a year they needed to enlarge the fenced area. They decided to keep the same shape but increase the dimensions by a factor of 3. Which of the following statements is true about the new area the dog now has? A.     A. Area = 3 (4 * 5) B.     B. Area = 32 (4 * 5)      C. Area = 1/3 (4 * 5) D. Area = (1/3)2 (4 * 5)

  5. John Brown grew a garden in his back yard every year. He decided to rotate the garden 90 degrees clockwise. How was the area of the garden effected by the rotation? • The same • Doubled • Tripled • D.Quadrupled

  6. An area has been decreased by a factor of 4/9. By what factor has the dimensions been decreased? • Use the same factor of 4/9 • Take the square root of the factor and use 2/3 • Square the factor and use 16/81 • D.Add two to the numerator and denominator and use 6/11

  7. Area of a Triangle 7 5 2 4

  8. Triangle Stations Go to the station you are assigned to… You have 10 minutes and only 10 minutes to complete the Area or perimeter or both of a triangle worksheet. Change stations when times up.

  9. Area and “Perimeter” of a Circle 5 10

  10. Area and Circumference worksheet You have 10 minutes and only 10 minutes to complete and turn in.

  11. Transformation rules: • If the Perimeter _________ or ___________ by a factor of ____, then the new perimeter __________ or __________ by a factor of _____. • If the Area __________ or __________ by a factor of ______, then the new area ____________ or _____________ by a factor of _____.

  12. You have a friend camping in yellow stone national park. She is located 24 miles north of the Park Headquarters. The airport where rescue helicopters are located is 32 miles due east of the Park Headquarters. What would be the shortest distance a rescue team would need to fly to reach your friend? • 35 miles • 38 miles • 40 miles • D.56 miles

  13. A triangle’s area is 12 cm2. Its area is increased by a factor of 5. How should the dimensions be changed if it is to keep the same shape? Multiply by: • 5 • 10 • Square root of 5 • D.Square root of 10

  14. To save money Momma’s Pizza is decreasing the size of their large pie which has a diameter of 7 inches. If she wants to reduce the area by .69, what size should she use for the new diameter? • 3.08 inches • 4.83 inches • 4.86 inches • D.5.81 inches

  15. A triangle’s area is 12 cm2. Its area is increased by a factor of 5. What factor should the dimensions of the triangle be increased? A.        5 B.         5/2 C.        Square root of 5 D.cubed root of 5

  16. A model of a circular running track is to be made 1/9 of the original area. What factor should be used for the radius of the model? Reduce the radius by: A. 1/81 B. 1/9 C. 2/9 D. 1/3

  17. A circular pond with a radius of 18 inches is to be enlarged so the area will be doubled. What must the new radius be? • 22.5 inches • 25.9 inches • 27 inches • D.36 inches

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