5 Minute Check Find the area. Complete on the back of 9-3. 1. 2. 3. 4.

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Presentation transcript:

5 Minute Check Find the area. Complete on the back of

5 Minute Check Find the area. Complete on the back of your homework. 1.

5 Minute Check

Find the area. Complete on the back of your homework. 2.

5 Minute Check

Find the area. Complete on the back of your homework. 3.

5 Minute Check

Find the area. Complete on the back of your homework. 4.

5 Minute Check

Flashcards

Friday, Feb 7 Chapter 9.4 Changes in Dimension

Objective: To determine the effect of changing dimensions on perimeter and area.

Changes in Dimension The perimeter is the distance around the outside of a two dimensional shape.

Changes in Dimension To compare two shapes, compare a side of one shape to the same side of the other shape. 4in 8in 6in 12in Let’s compare the bases of each shape.

Changes in Dimension To compare two shapes, compare a side of one shape to the same side of the other shape. 4in 8in 6in 12in 6in x ? = 12in

Changes in Dimension To compare two shapes, compare a side of one shape to the same side of the other shape. 4in 8in 6in 12in 6in x 2 = 12in The sides of the larger shape are 2 times the sides of the smaller shape.

Changes in Dimension To compare two shapes, compare a side of one shape to the same side of the other shape. 4in 8in 6in 12in What is the change in perimeter between the two shapes?

Changes in Dimension To compare two shapes, compare a side of one shape to the same side of the other shape. 4in 8in 6in 12in 20in x ? = 40in

Changes in Dimension To compare two shapes, compare a side of one shape to the same side of the other shape. 4in 8in 6in 12in 20in x 2 = 40in The perimeter of the larger shape is 2 times the perimeter of the smaller shape.

Changes in Dimension To compare two shapes, compare a side of one shape to the same side of the other shape. 4in 8in 6in 12in What is the change in area between the two shapes?

Changes in Dimension To compare two shapes, compare a side of one shape to the same side of the other shape. 4in 8in 6in 12in 24in² x ? = 96in²

Changes in Dimension To compare two shapes, compare a side of one shape to the same side of the other shape. 4in 8in 6in 12in 24in² x 4 = 96in² The area of the larger shape is 2² (or 4) times the area of the smaller shape.

Changes in Dimension If each side of a polygon is multiplied by x, then the perimeter is also multiplied by x. e.g. If you multiply the sides of a shape by 4, the perimeter will be 4 times larger.

Changes in Dimension If each side of a polygon is multiplied by x, then the area of the polygon changes by x². e.g. If you multiply the sides of a shape by 4, the area will be 4² times larger.

Changes in Dimension Suppose the side lengths of the rectangle below are tripled. What effect would this have on the perimeter? 3in 4in

Changes in Dimension Suppose the side lengths of the rectangle below are tripled. What effect would this have on the perimeter? 3in 4in If we triple all the side lengths, the perimeter is also tripled.

Changes in Dimension Suppose the side lengths of the rectangle below are tripled. What effect would this have on the perimeter? P= 2(3) + 2(4) = 14 3in 4in P= 2(9) + 2(12) = 42 9in Since14 · 3 = 42 12in

Changes in Dimension Suppose the side lengths of the rectangle below are tripled. What effect would this have on the area? 3in 4in

Changes in Dimension Suppose the side lengths of the rectangle below are tripled. What effect would this have on the area? 3in 4in If we triple all the side lengths, the area is increase by 3², or 9.

Changes in Dimension Suppose the side lengths of the rectangle below are tripled. What effect would this have on the area? A= 4 x 3= 12in² 3in 4in A= 9 x 12 = 108in ² 9in Since 12 · 9 = 108, the area is increased by 9 times. 12in

Changes in Dimension What is the change in perimeter from the first regular pentagon to the second? Do this on your own.

Changes in Dimension What is the change in perimeter from the first regular pentagon to the second? 4 · x = 8 x = 2 The perimeter of the second pentagon is 2 times the perimeter of the first.

Changes in Dimension What is the change in area from the first regular pentagon to the second? Do this on your own.

Changes in Dimension What is the change in area from the first regular pentagon to the second? 4 · x = 8 x = 2 The area of the second pentagon is 4 (2²) times the area of the first.

Changes in Dimension Agenda Notes Homework– Homework Practice 9-4 Due Monday, Feb 10 Chapter 9 Test–Thursday, Feb 13