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10-4

10-4. Comparing Perimeter and Area. Course 1. HOMEWORK & Learning Goal. Lesson Presentation. AIMS Prep. Chapter 10 Section 3 6 th M. HOMEWORK Answers. Page 510 #1-6 & #10-14. Chapter 10 Section 4 6 th Grade Math HOMEWORK. Page 512-513 #1-4 and #11-14 (SR). Our Learning Goal.

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10-4

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  1. 10-4 Comparing Perimeter and Area Course 1 HOMEWORK & Learning Goal Lesson Presentation AIMS Prep

  2. Chapter 10 Section 36th M. HOMEWORK Answers Page 510 #1-6 & #10-14

  3. Chapter 10 Section 46th Grade Math HOMEWORK Page 512-513 #1-4 and #11-14 (SR)

  4. Our Learning Goal Students will be able to find the perimeter and area of polygons; find the area and circumference of circles and find the surface area and volume of 3D shapes.

  5. Our Learning Goal Assignments • Learn to find the perimeter and missing side lengths of a polygon. • Learn to estimate the area of irregular figures and to find the area of rectangles, triangles, and parallelograms. • Learn to break a polygon into simpler parts to find its area. • Learn to make a model to explore how area and perimeter are affected by changes in the dimensions of a figure. • Learn to identify the parts of a circle and to find the circumference and area of a circle. • Learn to name solid figures. • Learn to find the surface areas of prisms, pyramids, and cylinders. • Learn to estimate and find the volumes of rectangular prisms and triangular prisms. • Learn to find volumes of cylinders.

  6. Comparing Perimeter and Area 10-4 Course 1 Today’s Learning Goal Assignment Learn to make a model to explore how area and perimeter are affected by changes in the dimensions of a figure.

  7. Break into Simpler Parts 10-3 Course 1 REVIEW (Period 5) Example 2 Yvonne made quilt design. All the sides are 4 inches long, except for the two longer sides that are each 16 inches. All the angles are right angles. What is the area of the quilt design? Think: Divide the quilt design into 10 squares. Find the area of one square that has a side length of 4 in. 16 in. 4 in. 16 in. A = lw Write the formula. A = 4•4 = 16 Multiply to find the area of the 10 squares. 10 • 16 = 160 The area of the quilt design is 160 in2.

  8. Break into Simpler Parts 10-3 Course 1 Insert Lesson Title Here REVIEW!!!Don’t forget your proper heading! Trade & Grade! 10-3 Lesson Quiz Find the area of the figure shown. 220 units2

  9. Comparing Perimeter and Area 10-4 P = 29.2 in. P = 14.6 in. Course 1 Additional Example 1: Changing Dimensions Find how the perimeter and the area of the figure change when its dimensions change. Divide each dimension by 2. A = 35 in.2 A = 8.75 in.2 When the dimensions of the triangle are divided by 2, the perimeter is divided by 2, and the area is divided by 4, or 22.

  10. Comparing Perimeter and Area 10-4 Course 1 Try This: Example 1 Find how the perimeter and the area of the figure change when its dimensions change. 4 in. 8 in. 2 in. 4 in. Multiply each dimension by 2. P = 12 in. P = 24 in. A = 8 in.2 A = 32 in.2 When the dimensions of the rectangle are multiplied by 2, the perimeter is multiplied by 2, and the area is multiplied by 4, or 22.

  11. Comparing Perimeter and Area 10-4 A = 6 cm2 A = 96 cm2 Multiply each dimension by 4. P = 10 cm P = 40 cm When the dimensions of the rectangle are multiplied by 4, the perimeter is multiplied by 4, and the area is multiplied by 16, or 42. Course 1 Additional Example 2: Application Draw a rectangle whose dimensions are 4 times as large as the given rectangle. How do the perimeter and area change? 12 cm 3 cm 8 cm 2 cm

  12. Comparing Perimeter and Area 10-4 A = 15 cm2 A = 60 cm2 Multiply each dimension by 2. P = 16 cm P = 32 cm When the dimensions of the rectangle are multiplied by 2, the perimeter is multiplied by 2, and the area is multiplied by 4, or 22. Course 1 Try This: Example 2 Draw a rectangle whose dimensions are 2 times as large as the given rectangle. How do the perimeter and area change? 10 cm 5 cm 6 cm 3 cm

  13. Comparing Perimeter and Area 10-4 Course 1 Insert Lesson Title Here Don’t forget your proper heading! Trade & Grade! 10-4 Lesson Quiz Find how the perimeter and area of the triangle change when its dimensions change. The perimeter is multiplied by 2, and the area is multiplied by 4; perimeter = 24, area = 24; perimeter = 48, area = 96.

  14. Chapter 10 Section 46th Grade Math HOMEWORK Page 512-513 #1-4 and #11-14 (SR)

  15. 6th Grade AIMS Prep Recall some test-taking tricks that you use to “win” on the AIMS Math. Use at least one to solve the following example!

  16. AIMS Example 2

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