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Chapter 10 Measurement and Geometry Click the mouse or press the space bar to continue. Measurement and Geometry 10 Lesson 10-1 Polygons Lesson 10-2 Perimeter Lesson 10-3 Measurement: Area Lesson 10-4 Problem-Solving Strategy: Solve a Simpler Problem Lesson 10-5 Triangles and Angles Lesson 10-6 Quadrilaterals Lesson 10-7 Problem-Solving Investigation: Choose a Strategy Lesson 10-8 Solid Figures Lesson 10-9 Complex Solid Figures Lesson 10-10 Measurement: Volume 10-1 Polygons Five-Minute Check (over Chapter 9) Main Idea and Vocabulary California Standards Example 1 Example 2 10-1 Polygons • I will identify, describe, and classify polygons. • plane figure • pentagon • polygon • hexagon • triangle • octagon • quadrilateral 10-1 Polygons Standard 3MG2.1 Identify, describe, and classify polygons (including pentagons, hexagons, and octagons). 10-1 Polygons Classify the polygon. Answer: not a polygon 10-1 Polygons Classify the polygon. A. polygon; pentagon B. polygon; hexagon C. polygon; octagon D. not a polygon 10-1 Polygons Classify the polygon. Answer: polygon; hexagon 10-1 Polygons Classify the polygon. A. polygon; triangle B. polygon; square C. polygon; pentagon D. polygon; hexagon 10-2 Perimeter Five-Minute Check (over Lesson 10-1) Main Idea and Vocabulary California Standards Key Concept: Find Perimeter Example 1 Example 2 10-2 Perimeter • I will find the perimeter of a polygon. • perimeter 10-2 Perimeter Standard 3MG1.3 Find the perimeter of a polygon with integer sides. 10-2 Perimeter 10-2 Perimeter Find the perimeter of the parallelogram. Answer: 34 yards 10-2 Perimeter Find the perimeter of this rectangle. A. 56 units B. 40 units C. 28 units D. 30 units 10-2 Perimeter Find the perimeter of the rectangle. Answer: 18 units 10-2 Perimeter Find the perimeter of the square, if all its sides where equal to 4 cm. A. 16 cm B. 20 cm C. 18 cm D. 8 cm 10-3 Measurement: Area Five-Minute Check (over Lesson 10-2) Main Idea and Vocabulary California Standards Example 1 Example 2 Example 3 Measurement: Area 10-3 Measurement: Area • I will find the area of a plane figure. • area 10-3 Measurement: Area Standard 3MG1.2 Estimate or determine the area and volume of solid figures by covering them with squares or by counting the number of cubes that will fill them. 10-3 Measurement: Area Find the perimeter of the rectangle. Answer: 40 square units 10-3 Measurement: Area Find the area of the figure. A. 20 square units B. 18 square units C. 21 square units D. 14 square units 10-3 Measurement: Area Find the area of the figure. Answer: 5 square units 10-3 Measurement: Area Find the area of the figure. A. 36 square units B. 40 square units C. 48 square units D. 30 square units 10-3 Measurement: Area The figure below shows the size of Jeff’s driveway. What is the area of the driveway? Answer: 26 square units 10-3 Measurement: Area The figure below shows the top view of a land plot. What is the area of the land plot? A. 64 square units B. 60 square units C. 50 square units D. 48 square units 10-4 Problem-Solving Strategy: Solve a Simpler Problem Five-Minute Check (over Lesson 10-3) Main Idea California Standards Example 1: Problem-Solving Strategy 10-4 Problem-Solving Strategy: Solve a Simpler Problem • I will solve problems by working a simpler problem. 10-4 Problem-Solving Strategy: Solve a Simpler Problem Standard 3MG1.3 Find the perimeter of a polygon with integer sides. Standard 3MR1.2 Determine when and how to break a problem into simpler parts. 10-4 Problem-Solving Strategy: Solve a Simpler Problem 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? 10-4 Problem-Solving Strategy: Solve a Simpler Problem 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. 10-4 Problem-Solving Strategy: Solve a Simpler Problem Plan Solve a simpler problem to find the length of the border for each side. 10-4 Problem-Solving Strategy: Solve a Simpler Problem Solve Two sides are 2 feet long. 2 feet + 2 feet = 4 feet Find the total length of the other two sides. total of total of perimeter 2 sides remaining sides 10 feet – 4 feet = 6 feet 10-4 Problem-Solving Strategy: Solve a Simpler Problem 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. 10-4 Problem-Solving Strategy: Solve a Simpler Problem 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. 10-5 Triangles and Angles 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 10-5 Triangles and Angles • I will identify and classify different triangles and compare angles. • equilateral triangle • scalene triangle • isosceles triangle • right triangle 10-5 Triangles and Angles Standard 3MG2.2 Identify 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). 10-5 Triangles and Angles Standard 3MG2.4 Identify right angles in geometric figures and determine whether other angles are greater or less than a right angle. 10-5 Triangles and Angles 10-5 Triangles and Angles Identify the triangle. Answer: scalene triangle 10-5 Triangles and Angles Identify the triangle shown in the grid. A. isosceles triangle B. equilateral triangle C. scalene triangle D. right triangle 10-5 Triangles and Angles Identify the triangle. Answer: equilateral 10-5 Triangles and Angles Identify the triangle shown below. A. isosceles triangle B. equilateral triangle C. scalene triangle D. right triangle 10-5 Triangles and Angles 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 10-5 Triangles and Angles Identify the triangle below. Tell if each triangle is a right angle, less than a right angle, or greater than a right angle. A. scalene; right angle B. isosceles; all angles are less than a right angle C. equilateral; all angles are less than a right angle D. right; right angle 10-6 Quadrilaterals Five-Minute Check (over Lesson 10-5) Main Idea and Vocabulary California Standards Key Concept: Types of Quadrilaterals Example 1 Example 2 Example 3 10-6 Quadrilaterals • I will identify, describe, and classify different quadrilaterals. • parallel • square • rectangle • parallelogram 10-6 Quadrilaterals Standard 3MG2.3 Identify attributes of quadrilaterals (e.g., parallel sides for the parallelogram, right angles for the rectangle, equal sides and right angles for the square). 10-6 Quadrilaterals Standard 3MG2.4 Identify right angles in geometric figures or in appropriate objects and determine whether other angles are greater or less than a right angle. 10-6 Quadrilaterals 10-6 Quadrilaterals Identify the quadrilateral. Answer: rectangle 10-6 Quadrilaterals Identify the quadrilateral. A. square B. parallelogram C. rectangle 10-6 Quadrilaterals Identify the quadrilateral. Answer: square 10-6 Quadrilaterals Identify the quadrilateral. A. square B. parallelogram C. rectangle 10-6 Quadrilaterals Identify the quadrilateral. Tell if each angle shown is a right angle, less than a right angle, or greater than a right angle. Answer: parallelogram; two angles are less than a right angle and two angles are greater than a right angle. 10-6 Quadrilaterals Identify the quadrilateral. Tell if each angle shown is a right angle, less than a right angle, or greater than a right angle. A. square; all angles are right angles B. parallelogram; two angles are less than a right angle, two angles are greater than a right C. rectangle; all angles are right angles 10-7 Problem-Solving Investigation: Choose a Strategy Five-Minute Check (over Lesson 10-6) Main Idea California Standards Example 1: Problem-Solving Investigation 10-7 Problem-Solving Investigation: Choose a Strategy • I will choose the best strategy to solve a problem. 10-7 Problem-Solving Investigation: Choose a Strategy Standard 3MG1.2 Estimate or determine the area and volume of solid figures by covering them with squares or by counting the number of cubes that will fill them. 10-7 Problem-Solving Investigation: Choose a Strategy Standard 3MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns. 10-7 Problem-Solving Investigation: Choose a Strategy CASSANDRA: My family is making a sandbox. It has the shape of a rectangle with a width of 4 feet and a length of 6 feet. The plastic that goes under the sand costs $2 for each square foot. YOUR MISSION: Determine if $50 will be enough to pay for the plastic. 10-7 Problem-Solving Investigation: Choose a Strategy Understand What facts do you know? • You know the length and width of the sandbox. • The cost of the plastic per square foot. What do you need to find? • Find the total cost of the plastic. 10-7 Problem-Solving Investigation: Choose a Strategy Plan Draw a picture to help you solve the problem. 10-7 Problem-Solving Investigation: Choose a Strategy Solve The drawing shows that the area of the sandbox is 24 square feet. Multiply 24 square feet by $2 per square foot to find the total cost of the plastic. 24 × $2 = $48 $48 is less than $50 Answer: So, $50 will be enough to pay for the plastic. 10-7 Problem-Solving Investigation: Choose a Strategy Check Look back at the problem. Use addition to check. $24 + $24 < $50. So, the answer is correct. 10-8 Solid Figures Five-Minute Check (over Lesson 10-7) Main Idea and Vocabulary California Standards Key Concept: Solid Figures Example 1 Example 2 10-8 Solid Figures • I will identify, describe, and classify solid figures. • cube • pyramid • rectangular solid • cylinder • cone • sphere 10-8 Solid Figures Standard 3MG2.5 Identify, describe, and classify common three-dimensional geometric objects (e.g., cube, rectangular solid, sphere, prism, pyramid, cone, cylinder). 10-8 Solid Figures 10-8 Solid Figures Identify the solid figure. Answer: cylinder 10-8 Solid Figures Identify the figure. A. cone B. cube C. cylinder D. rectangular solid 10-8 Solid Figures Identify the solid figure. Answer: rectangular solid 10-8 Solid Figures Identify the figure. A. cone B. cube C. cylinder D. rectangular solid 10-9 Complex Solid Figures Five-Minute Check (over Lesson 10-8) Main Idea California Standards Example 1 Example 2 10-9 Complex Solid Figures • I will identify common solid objects that make more complex solid objects. 10-9 Complex Solid Figures Standard 3MG2.6 Identify common solid objects that are the components needed to make a more complex solid object. 10-9 Complex Solid Figures Identify the figures that make the complex solid. Answer: cone, cylinder 10-9 Complex Solid Figures Identify the figures that make each complex solid. Answer: rectangular solids 10-10 Measurement: Volume Five-Minute Check (over Lesson 10-9) Main Idea and Vocabulary California Standards Example 1 Example 2 Volume 10-10 Measurement: Volume • I will determine the volume of solid figures. • volume • cubic unit 10-10 Measurement: Volume Standard 3MG1.2 Estimate or determine the area and volume of solid figures by covering them with squares or by counting the number of cubes that would fill them. 10-10 Measurement: Volume Estimate how many cubic units the box can hold? Answer: 27 cubic units 10-10 Measurement: Volume How much cement will the container hold? A. 3 cubic units B. 4 cubic units C. 5 cubic units D. 6 cubic units 10-10 Measurement: Volume Estimate the volume of the figure. Answer: 54 cubic units 10-10 Measurement: Volume Estimate the volume of the figure. A. 48 cubic units B. 36 cubic units C. 12 cubic units D. 24 cubic units Measurement and Geometry 10 Five-Minute Checks Measurement: Area Volume Measurement and Geometry 10 Lesson 10-1 (over Chapter 9) Lesson 10-2 (over Lesson 10-1) Lesson 10-3 (over Lesson 10-2) Lesson 10-4 (over Lesson 10-3) Lesson 10-5 (over Lesson 10-4) Lesson 10-6 (over Lesson 10-5) Lesson 10-7 (over Lesson 10-6) Lesson 10-8 (over Lesson 10-7) Lesson 10-9 (over Lesson 10-8) Lesson 10-10 (over Lesson 10-9) Measurement and Geometry 10 (over Chapter 9) Convert to a smaller unit. 8 L = ___ mL. A. 8,000 B. 80 C. 10 D. 120 Measurement and Geometry 10 (over Chapter 9) Convert to a smaller unit. 3 km = ___ m. A. 10 B. 33 C. 15 D. 3,000 Measurement and Geometry 10 (over Chapter 9) Convert to a larger unit. 5,000 g = ___ kg. A. 15 B. 5 C. 55 D. 120 Measurement and Geometry 10 (over Chapter 9) Convert to a larger unit. 16,000 mL = ___ L. A. 16 B. 140 C. 160 D. 320 Measurement and Geometry 10 (over Lesson 10-1) Classify each polygon. A. triangle B. pentagon C. square D. hexagon Measurement and Geometry 10 (over Lesson 10-1) Classify each polygon. A. triangle B. pentagon C. square D. hexagon Measurement and Geometry 10 (over Lesson 10-1) Classify each polygon. A. triangle B. pentagon C. square D. hexagon Measurement and Geometry 10 (over Lesson 10-1) Classify each polygon. A. triangle B. pentagon C. square D. hexagon Measurement and Geometry 10 (over Lesson 10-2) Find the perimeter of the figure. A. 26 cm B. 12 cm C. 24 cm D. 30 cm Measurement and Geometry 10 (over Lesson 10-2) Find the perimeter of the figure. A. 22 in. B. 10 in. C. 8 in. D. 24 in. Measurement and Geometry 10 (over Lesson 10-2) Find the perimeter of the figure. Pascal wants to enclose his garden with a small fence. If his garden is a rectangle 3 yards by 2 yards, how many yards of fencing material does he need? A. 6 yards B. 12 yards C. 10 yards D. 16 yards Measurement and Geometry 10 (over Lesson 10-3) Find the area of the figure. A. 35 square units B. 25 square units C. 7 square units D. 40 square units Measurement and Geometry 10 (over Lesson 10-3) Find the area of the figure. A. 3 square units B. 18 square units C. 8 square units D. 9 square units Measurement and Geometry 10 (over Lesson 10-3) Find the area and perimeter of the figure. A. 14 units; 6 square units B. 12 units; 6 square units C. 10 units; 10 square units Measurement and Geometry 10 (over Lesson 10-4) Solve. Use the Solve a Simpler Problem strategy. Afua bought 8 red ribbons, 4 blue ribbons, and 5 yellow ribbons from the fabric store. Each piece of ribbon cost $1.00. How much did she spend in all? A. $12 B. $4 C. $8 D. $17 Measurement and Geometry 10 (over Lesson 10-5) Identify the triangle. Write equilateral, isosceles, or scalene. A. isosceles B. equilateral C. scalene Measurement and Geometry 10 (over Lesson 10-5) Identify the triangle. Write equilateral, isosceles, or scalene. A. scalene B. equilateral C. isosceles Measurement and Geometry 10 (over Lesson 10-5) Identify the triangle. Write equilateral, isosceles, or scalene. A. scalene B. equilateral C. isosceles Measurement and Geometry 10 (over Lesson 10-6) Identify the quadrilateral. A. rectangle B. square C. parallelogram Measurement and Geometry 10 (over Lesson 10-6) Identify the quadrilateral. A. square B. rectangle C. parallelogram Measurement and Geometry 10 (over Lesson 10-6) Identify the quadrilateral. A. square B. rectangle C. parallelogram Measurement and Geometry 10 (over Lesson 10-7) Indu has 27¢ in his pocket. If he has 6 coins altogether, what coins does he have? A. 1 quarter, 2 pennies, 2 dimes B. 1 dime, 3 nickels, 2 pennies C. 1 nickel, 2 dimes, 1 quarter Measurement and Geometry 10 (over Lesson 10-8) Identify the solid figure. A. cylinder B. cube C. square Measurement and Geometry 10 (over Lesson 10-8) Identify the solid figure. A. square B. cylinder C. cube Measurement and Geometry 10 (over Lesson 10-8) Identify the solid figure. A. sphere B. cube C. square Measurement and Geometry 10 (over Lesson 10-8) Identify the solid figure. A. square B. cube C. rectangular solid Measurement and Geometry 10 (over Lesson 10-9) Identify the figures that makes this a complex solid. A. cone, cylinder B. sphere, cone Measurement and Geometry 10 (over Lesson 10-9) Identify the figures that makes this a complex solid. A. square, cone B. rectangular solid, cylinders This slide is intentionally blank.