1 / 106

Splash Screen

Chapter 11 Measurement: Perimeter, Area, and Volume Click the mouse or press the space bar to continue. Splash Screen. Measurement: Perimeter, Area, and Volume. 11. Lesson 11-1 Perimeter Lesson 11-2 Area of Parallelograms Lesson 11-3 Problem-Solving Strategy: Make a Model

derek-hood
Download Presentation

Splash Screen

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 11 Measurement: Perimeter, Area, and Volume Click the mouse or press the space bar to continue. Splash Screen

  2. Measurement: Perimeter, Area, and Volume 11 Lesson 11-1 Perimeter Lesson 11-2Area of Parallelograms Lesson 11-3 Problem-Solving Strategy: Make a Model Lesson 11-4 Area of Triangles Lesson 11-5Problem-Solving Investigation: Choose the Best Strategy Lesson 11-6 Volume of Rectangular Prisms Lesson 11-7Surface Area of Rectangular Prisms Chapter Menu

  3. Perimeter 11-1 Five-Minute Check (over Chapter 10) Main Idea and Vocabulary California Standards Key Concept: Perimeter of a Square Key Concept: Perimeter of a Rectangle Example 1 Example 2 Lesson 1 Menu

  4. Perimeter 11-1 • I will find the perimeters of squares and rectangles. • perimeter Lesson 1 MI/Vocab

  5. Perimeter 11-1 Standard 5MG1.4Differentiate between, and use appropriate units of measures for two-and three-dimensionalobjects (i.e., find the perimeter,area, volume). Lesson 1 Standard 1

  6. Perimeter 11-1 Lesson 1 Key Concept 1

  7. Perimeter 11-1 Lesson 1 Key Concept 2

  8. Perimeter 11-1 The base of the Eiffel Tower is shaped like a square with each side measuring 125 meters. What is the perimeter of the base? P = 4s Perimeter of a square P = 4(125) Replace s with 125. P = 500 Multiply. Answer: The perimeter of the base of the Eiffel Tower is 500 meters. Lesson 1 Ex1

  9. Perimeter 11-1 The park is shaped like a square with each side measuring 100 yards. What is the perimeter of the park? • 400 feet • 400 yards • 200 yards • 100 yards Lesson 1 CYP1

  10. Perimeter 11-1 7 m 4 m P = 2+ 2w Replace with 7 and w with 4. Find the perimeter of the rectangle. Write the formula. P = 2(7) + 2(4) P = 14 + 8 Multiply. P = 22 Add. Answer: The perimeter is 22 meters. Lesson 1 Ex2

  11. Perimeter 11-1 3 cm 1 cm Find the perimeter of the rectangle. • 7 cm • 6 cm • 8 cm • 10 cm Lesson 1 CYP2

  12. End of Lesson 1

  13. Area of Parallelograms 11-2 Five-Minute Check (over Lesson 11-1) Main Idea California Standards Key Concept: Area of a Parallelogram Example 1 Example 2 Example 3 Lesson 2 Menu

  14. Area of Parallelograms 11-2 • I will find the areas of parallelograms. • base • height Lesson 2 MI/Vocab

  15. Area of Parallelograms 11-2 Standard 5MG1.1Derive and use the formula for the area of atriangle and of a parallelogram by comparing it with the formula for the area of a rectangle. Standard 5MG1.4Differentiate between, and use appropriate units of measures for two-and three-dimensional objects. Lesson 2 Standard 1

  16. Area of Parallelograms 11-2 Lesson 2 Key Concept

  17. Area of Parallelograms 11-2 Find the area of the parallelogram. The base is 3 and the height is 10. A = bh Area of parallelogram A = 3•10 Replace b with 3 and h with 10. A = 30 Multiply. Answer:The area is 30 square units or 30 units2. Lesson 2 Ex1

  18. Area of Parallelograms 11-2 Find the area of the parallelogram. • 35 units2 • 28 units2 • 49 units2 • 64 units2 Lesson 2 CYP1

  19. Area of Parallelograms 11-2 Find the area of the parallelogram. A = bh Area of parallelogram A= 8.2 • 4.5 Replace b with 8.2 and h with 4.5. A = 36.9 Multiply. Answer:The area is 36.9 square centimeters or 36.9 cm2. Lesson 2 Ex2

  20. Area of Parallelograms 11-2 Find the area of the parallelogram. • 68 mm2 • 70 mm2 • 68.64 mm2 • 70.42 mm2 Lesson 2 CYP2

  21. Area of Parallelograms 11-2 1 2 1 Estimate 6 is about 6 and 10 is about 11. 4 A particular area rug is shaped like a parallelogram. Estimate the area of the floor it will cover. A = bh Area of parallelogram A= 11 • 6 Replace b with 11 and h with 6. A = 66 Multiply. Answer:The area of the rug is about 66 ft2. Lesson 2 Ex3

  22. Area of Parallelograms 11-2 A parking lot is shaped like a parallelogram. Estimate the area of ground it will cover. • 7,000 sq. yds. • 7,200 sq. yds. • 7,140 sq. yds. • 7,080 sq. yds. Lesson 2 CYP3

  23. End of Lesson 2

  24. Problem-Solving Strategy: Make a Model 11-3 Five-Minute Check (over Lesson 11-2) Main Idea California Standards Example 1: Problem-Solving Strategy Lesson 3 Menu

  25. Problem-Solving Strategy: Make a Model 11-3 • I will solve problems by making a model. Lesson 3 MI/Vocab

  26. Problem-Solving Strategy: Make a Model 11-3 Standard 5MR2.3Use a variety of methods, such aswords, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. Standard 5MG1.4 Differentiate between, and use appropriate units of measures for two-and three-dimensionalobjects. Lesson 3 Standard 1

  27. Problem-Solving Strategy: Make a Model 11-3 While volunteering at the local farm market, Julia was asked to make a display for the oranges. She needs to stack the oranges in the shape of a square pyramid. The base should have 100 oranges and one orange needs to be on top. There are 400 oranges total. Are 400 oranges enough to make a square pyramid with a base of 100 oranges? Lesson 3 Ex1

  28. Problem-Solving Strategy: Make a Model 11-3 Understand What facts do you know? • The oranges need to be in the shape of a square pyramid with 100 oranges in the base and 1 orange on top. • There are 400 oranges altogether. What do you need to find? • Are 400 oranges enough to make a square pyramid with a base of 100 oranges? Lesson 3 Ex1

  29. Problem-Solving Strategy: Make a Model 11-3 Plan Make a model using pennies to find the number of oranges needed. Lesson 3 Ex1

  30. Problem-Solving Strategy: Make a Model 11-3 second layer third layer fourth layer bottom layer 81 64 49 100 Solve Begin with 100 pennies. For each consecutive layer, place 1 penny where 4 meet. Lesson 3 Ex1

  31. Problem-Solving Strategy: Make a Model 11-3 Solve Answer: By continuing this pattern, 100 + 81 + 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 or 385 oranges will be needed. Since 385 < 400, 400 oranges are enough to make a square pyramid. Lesson 3 Ex1

  32. Problem-Solving Strategy: Make a Model 11-3 Check Look back at the problem. 400 – 100 – 81 – 64 – 49 – 36 – 25 – 16 – 9 – 4 – 1 leaves 15 oranges. Lesson 3 Ex1

  33. End of Lesson 3

  34. Area of Triangles 11-4 Five-Minute Check (over Lesson 11-3) Main Idea California Standards Key Concept: Area of a Triangle Example 1 Example 2 Example 3 Area of Triangles Lesson 4 Menu

  35. Area of Triangles 11-4 • I will find the areas of triangles. Lesson 4 MI/Vocab

  36. Area of Triangles 11-4 Standard 5MG1.1Derive and use the formula for the area of a triangleand of a parallelogram by comparing it with the formula for the area of a rectangle. Standard 5MG1.4Differentiate between, and use appropriate units of measures for two-and three-dimensionalobjects. Lesson 4 Standard 1

  37. Area of Triangles 11-4 Lesson 4 Key Concept

  38. Area of Triangles 11-4 1 1 2 2 A = bh A = (5)•(8) Find the area of the triangle. By counting, you find that the measure of the base of the triangle is 5 and the height is8. Area of a triangle Replace b with 5 and h with 8. Lesson 4 Ex1

  39. Area of Triangles 11-4 1 2 A = (40) Multiply. A = 20 Multiply. Answer: The area of the triangle is 20 square units. Lesson 4 Ex1

  40. Area of Triangles 11-4 1 2 C. 12 sq. units Find the area of the triangle. A. 25 sq. units B. 16 sq. units D. 20 sq. units Lesson 4 CYP1

  41. Area of Triangles 11-4 1 1 2 2 A = bh A = (16.4)•(7.9) Find the area of the triangle. Area of a triangle Replace b with 16.4 and h with 7.9. Lesson 4 Ex2

  42. Area of Triangles 11-4 1 2 A= (129.56) Multiply. Divide. 129.56 ÷ 2 = 64.78 A = 64.78 Answer: The area of the triangle is 64.78 square meters. Lesson 4 Ex2

  43. Area of Triangles 11-4 1 1 2 2 C. 49 cm D. 49 sq. cm Clio cut out a banner in the shape of a triangle. What is the area of the banner? • 99 sq. cm B. 99 cm Lesson 4 CYP2

  44. Area of Triangles 11-4 1 1 2 2 A = bh A = (12)•(6) Find the area of the triangle. Area of a triangle Replace b with 12 and h with 6. Lesson 4 Ex3

  45. Area of Triangles 11-4 1 2 A = (72) Multiply. Divide. 72 ÷2 = 36.5 A = 36.5 Answer: The area of the triangle is 36.5 square inches. Lesson 4 Ex3

  46. Area of Triangles 11-4 Kira drew a triangle on the sidewalk with chalk. What is the area of her triangle? • 21 sq. ft • 10.5 sq. ft • 20 sq. ft • 11 sq. ft Lesson 4 CYP3

  47. End of Lesson 4

  48. Problem-Solving Investigation: Choose the Best Strategy 11-5 Five-Minute Check (over Lesson 11-4) Main Idea California Standards Example 1: Problem-Solving Investigation Lesson 5 Menu

  49. Problem-Solving Investigation: Choose the Best Strategy 11-5 • I will choose the best strategy to solve a problem. Lesson 5 MI/Vocab

  50. Problem-Solving Investigation: Choose the Best Strategy 11-5 Standard 5MR2.3Use a variety of methods, such aswords, numbers,symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning. Standard 5MG1.4Differentiate between, and use appropriate units of measures for two-and three-dimensionalobjects. Lesson 5 Standard 1

More Related