Unit 8 – 6 Dimensional changes

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Presentation transcript:

Unit 8 – 6 Dimensional changes Regular polygons and simple shapes with algebraic expressions

Changing Units and Changing Dimensions 16 cm 10 cm 1. Find the perimeter and area of the rectangle 2. If the base is doubled, what would be the new perimeter and area? 3. What was the EFFECT on the perimeter and area? 4. If the base and height are both doubled, what would be the new perimeter and area? 5. What was the EFFECT on the perimeter and area?

Changing Units and Changing Dimensions 6 ft 6 ft 1. Find the perimeter and area of the rectangle 6 ft 2. If the base is tripled, what would be the new perimeter and area? 3. What was the EFFECT on the perimeter and area? 4. If the base and height are both tripled, what would be the new perimeter and area? 5. What was the EFFECT on the perimeter and area?

Changing Units and Changing Dimensions 1. Find the perimeter and area of the rectangle 2. If the apothem is cut in half, what would be the new perimeter and area? 3. What was the EFFECT on the perimeter and area? 4. If the apothem and side lengths are all cut in half, what would be the new perimeter and area? 5. What was the EFFECT on the perimeter and area?

Changing Dimensions A triangle has a base of 4 inches and a height of 6 inches. Describe the change in area for each of the following: The base is doubled the height is doubled c. The base is doubled and the height is tripled

Changing Dimensions A rectangular room measures 20 feet by 12.5 feet. How many 5-inch square tiles will it take to cover the floor of the room? 2. Ms. Bell has a circular gazebo with a diameter of 12 feet that she decorates with colored lights around the circumference. Using the same length of lights, she is going to decorate her square garden shed. What is the maximum side length of the shed?

Word problems Graph the points A (-2, -2) B (-2, 3) C ( 2, -1) This shape is a _______________________________________ Find the Perimeter Find the Area

Word problems Graph the points A (-1, 1) B (3, 4) C (6, 0) D (2, -3) This shape is a _______________________________________ Find the Perimeter Find the Area

Word problems 1. A rectangle with an area of 360 square yards is 10 times as long as it is wide. Find the length and width (base and height) of the rectangle. 2. The diameter of the most popular brand of flying disc used in disc golf measures between 8 – 10 inches. Find the range of possible circumferences and area for these flying discs.