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  1. Chapter 10 Measurement and Geometry Click the mouse or press the space bar to continue. Splash Screen

  2. Measurement and Geometry 10 Lesson 10-1Polygons Lesson 10-2Perimeter Lesson 10-3Measurement: Area Lesson 10-4Problem-Solving Strategy: Solve a Simpler Problem Lesson 10-5Triangles and Angles Lesson 10-6Quadrilaterals Lesson 10-7Problem-Solving Investigation: Choose a Strategy Lesson 10-8Solid Figures Lesson 10-9 Complex Solid Figures Lesson 10-10 Measurement: Volume Chapter Menu

  3. Polygons 10-1 Five-Minute Check (over Chapter 9) Main Idea and Vocabulary California Standards Example 1 Example 2 Lesson 1 Menu

  4. Polygons 10-1 • I will identify, describe, and classify polygons. • plane figure • polygon • triangle • quadrilateral • pentagon • hexagon • octagon Lesson 1 MI/Vocab

  5. Polygons 10-1 Standard 3MG2.1 Identify, describe, and classify polygons (including pentagons, hexagons, and octagons). Lesson 1 Standard 1

  6. Polygons 10-1 Classify the polygon. Answer:not a polygon Lesson 1 Ex1

  7. Polygons 10-1 Classify the polygon. • polygon; pentagon • polygon; hexagon • polygon; octagon • not a polygon Lesson 1 CYP1

  8. Polygons 10-1 Classify the polygon. Answer:polygon; hexagon Lesson 1 Ex2

  9. Polygons 10-1 Classify the polygon. • polygon; triangle • polygon; square • polygon; pentagon • polygon; hexagon Lesson 1 CYP2

  10. End of Lesson 1

  11. Perimeter 10-2 Five-Minute Check (over Lesson 10-1) Main Idea and Vocabulary California Standards Key Concept: Find Perimeter Example 1 Example 2 Lesson 2 Menu

  12. Perimeter 10-2 • I will find the perimeter of a polygon. • perimeter Lesson 2 MI/Vocab

  13. Perimeter 10-2 Standard 3MG1.3 Find the perimeter of a polygon with integer sides. Lesson 2 Standard 1

  14. Perimeter 10-2 Lesson 2 Key Concept 1

  15. Perimeter 10-2 Find the perimeter of the parallelogram. Answer:34 yards Lesson 2 Ex1

  16. Perimeter 10-2 Find the perimeter of this rectangle. • 56 units • 40 units • 28 units • 30 units Lesson 2 CYP1

  17. Perimeter 10-2 Find the perimeter of the rectangle. Answer: 18 units Lesson 2 Ex2

  18. Perimeter 10-2 Find the perimeter of the square, if all its sides where equal to 4 cm. • 16 cm • 20 cm • 18 cm • 8 cm Lesson 2 CYP2

  19. End of Lesson 2

  20. Measurement: Area 10-3 Five-Minute Check (over Lesson 10-2) Main Idea and Vocabulary California Standards Example 1 Example 2 Example 3 Measurement: Area Lesson 3 Menu

  21. Measurement: Area 10-3 • I will find the area of a plane figure. • area Lesson 3 MI/Vocab

  22. Measurement: Area 10-3 Standard 3MG1.2 Estimate or determine the areaand volume of solid figures by covering them with squaresor by counting the number of cubes that will fill them. Lesson 3 Standard 1

  23. Measurement: Area 10-3 Find the perimeter of the rectangle. Answer:40 square units Lesson 3 Ex1

  24. Measurement: Area 10-3 Find the area of the figure. • 20 square units • 18 square units • 21 square units • 14 square units Lesson 3 CYP1

  25. Measurement: Area 10-3 Find the area of the figure. Answer:5 square units Lesson 3 Ex2

  26. Measurement: Area 10-3 Find the area of the figure. • 36 square units • 40 square units • 48 square units • 30 square units Lesson 3 CYP2

  27. Measurement: Area 10-3 The figure below shows the size of Jeff’s driveway. What is the area of the driveway? Answer: 26 square units Lesson 3 Ex3

  28. Measurement: Area 10-3 The figure below shows the top view of a land plot. What is the area of the land plot? • 64 square units • 60 square units • 50 square units • 48 square units Lesson 3 CYP3

  29. End of Lesson 3

  30. Problem-Solving Strategy: Solve a Simpler Problem 10-4 Five-Minute Check (over Lesson 10-3) Main Idea California Standards Example 1: Problem-Solving Strategy Lesson 4 Menu

  31. Problem-Solving Strategy: Solve a Simpler Problem 10-4 • I will solve problems by working a simpler problem. Lesson 4 MI/Vocab

  32. Problem-Solving Strategy: Solve a Simpler Problem 10-4 Standard 3MG1.3Find the perimeter of a polygon with integer sides. Standard 3MR1.2Determine when and how to break a problem into simpler parts. Lesson 4 Standard 1

  33. Problem-Solving Strategy: Solve a Simpler Problem 10-4 Julianna is placing a border around a rectangular bulletin board. The perimeter of the bulletin board is 10 feet. One side measures 2 feet. What will be the length of the border for each side? Lesson 4 Ex1

  34. Problem-Solving Strategy: Solve a Simpler Problem 10-4 Understand What facts do you know? • The bulletin board is rectangular with a perimeter of 10 feet. • The length of one side is 2 feet. What do you need to find? • The length of the border for each side. Lesson 4 Ex1

  35. Problem-Solving Strategy: Solve a Simpler Problem 10-4 Plan Solve a simpler problem to find the length of the border for each side. Lesson 4 Ex1

  36. Problem-Solving Strategy: Solve a Simpler Problem 10-4 total of 2 sides total of remaining sides perimeter 10 feet 4 feet 6 feet Solve Two sides are 2 feet long. 2 feet + 2 feet = 4 feet Find the total length of the other two sides. – = Lesson 4 Ex1

  37. Problem-Solving Strategy: Solve a Simpler Problem 10-4 Solve The two unknown sides add up to 6 feet. Since both sides are the same length, divide by 2. 6 feet ÷ 2 feet = 3 feet Answer: So, two pieces of border should be 2 feet long, and the other two should be 3 feet long each. Lesson 4 Ex1

  38. Problem-Solving Strategy: Solve a Simpler Problem 10-4 Check Look back at the problem. Add up all of the sides. 2 feet + 2 feet + 3 feet + 3 feet = 10 feet So, the answer is correct. Lesson 4 Ex1

  39. End of Lesson 4

  40. Triangles and Angles 10-5 Five-Minute Check (over Lesson 10-4) Main Idea and Vocabulary California Standards Key Concept: Identify Triangles by its Sides Example 1 Example 2 Example 3 Lesson 5 Menu

  41. Triangles and Angles 10-5 • I will identify and classify different triangles and compare angles. • scalene triangle • right triangle • equilateral triangle • isosceles triangle Lesson 5 MI/Vocab

  42. Triangles and Angles 10-5 Standard 3MG2.2Identify attributes of triangles (e.g., two equal sides for the isosceles triangle, three equal sides for the equilateral triangle, right angle for the right triangle). Lesson 5 Standard 1

  43. Triangles and Angles 10-5 Standard 3MG2.4 Identify right angles in geometric figures and determine whether other angles are greater or less than a right angle. Lesson 5 Standard 2

  44. Triangles and Angles 10-5 Lesson 5 Key Concept 1

  45. Triangles and Angles 10-5 Identify the triangle. Answer: scalene triangle Lesson 5 Ex1

  46. Triangles and Angles 10-5 Identify the triangle shown in the grid. • isosceles triangle • equilateral triangle • scalene triangle • right triangle Lesson 5 CYP1

  47. Triangles and Angles 10-5 Identify the triangle. Answer: equilateral Lesson 5 Ex2

  48. Triangles and Angles 10-5 Identify the triangle shown below. • isosceles triangle • equilateral triangle • scalene triangle • right triangle Lesson 5 CYP2

  49. Triangles and Angles 10-5 Identify the bottom triangle on the tree. Tell if each angle of the triangle is a right angle, less than a right angle or greater than a right angle. Answer: isosceles; 2 angles are less than a right angle and 1 angle is greater than a right angle Lesson 5 Ex3

  50. Triangles and Angles 10-5 Identify the triangle below. Tell if each triangle is a right angle, less than a right angle, or greater than a right angle. • scalene; right angle • isosceles; all angles are less than a right angle • equilateral; all angles are less than a right angle • right; right angle Lesson 5 CYP3