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

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

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

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

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

Lesson 1 Ex1 Classify the polygon Polygons A polygon has sides, and this figure does not have sides. Answer: This is not a polygon.

A.polygon; pentagon B.polygon; hexagon C.polygon; octagon D.not a polygon Lesson 1 CYP Polygons Classify the polygon.

Lesson 1 Ex Polygons Classify the polygon. There are 6 sides and 6 angles. Answer: So, it is a hexagon.

A.polygon; triangle B.polygon; square C.polygon; pentagon D.polygon; hexagon Lesson 1 CYP Polygons Classify the polygon.

End of Lesson 1

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

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

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

Lesson 2 Key Concept Perimeter

Lesson 2 Ex Perimeter Find the perimeter of the triangle. To find the perimeter, add the lengths of the sides. Answer: So, the perimeter is 12 centimeters. 5 cm + 3 cm + 4 cm = 12 cm

Lesson 2 CYP Perimeter A.16 cm B.20 cm C.18 cm D.8 cm Find the perimeter of the square, if all its sides are equal to 4 cm.

Lesson 2 Ex Perimeter Find the perimeter of the square. To find the perimeter, add the lengths of the sides. Answer: So, the perimeter is 20 units. 5 units + 5 units + 5 units + 5 units = 20 units

Lesson 2 CYP Perimeter Find the perimeter of this rectangle. A.56 units B.40 units C.28 units D.30 units

End of Lesson 2

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

10-3 Measurement: Area Lesson 3 MI/Vocab I will determine area. area

10-3 Measurement: Area Lesson 3 Standard 1 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. Standard 3MR2.1 Use estimation to verify the reasonableness of calculated results.

Lesson 3 Ex Measurement: Area Find the area of the figure. Count the number of whole squares. Answer: The area is 9 square units.

A.20 square units B.18 square units C.21 square units D.14 square units Lesson 3 CYP Measurement: Area Find the area of the figure.

Lesson 3 Ex2 Find the area of the figure Measurement: Area Count the number of squares. Answer: The area of this figure is 6 square units.

A.36 square units B.40 square units C.48 square units D.30 square units Lesson 3 CYP Measurement: Area Find the area of the figure.

Lesson 3 Ex Measurement: Area The figure below shows the size of Filipa’s porch. What is the area of the porch? Step 1 Count the number of whole squares. There are 6 of them. Step 2 Count the half squares. There are 2 halves. Two halves equal 1 whole square.

Lesson 3 Ex Measurement: Area Step 3 Add. 6 square units + 1 square unit = 7 square units Answer: The area of Filipa’s porch is 7 square units.

A.64 square units B.60 square units C.50 square units D.48 square units Lesson 3 CYP Measurement: Area The figure below shows the top view of a land plot. What is the area of the land plot?

End of Lesson 3

Lesson 4 Menu 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

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

10-4 Problem-Solving Strategy: Solve a Simpler Problem Lesson 4 Standard 1 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.

Lesson 4 Ex1 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

Lesson 4 Ex1 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 Problem-Solving Strategy: Solve a Simpler Problem

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

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

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

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

End of Lesson 4

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

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

10-5 Triangles and Angles Lesson 5 Standard 1 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 Lesson 5 Standard 2 Standard 3MG2.4 Identify right angles in geometric figures and determine whether other angles are greater or less than a right angle.

Lesson 5 Key Concept Triangles and Angles

Lesson 5 Ex Triangles and Angles Identify the triangle shown on the grid. This triangle has two sides of equal length. Answer: It is an isosceles triangle.

Lesson 5 CYP Triangles and Angles Identify the triangle shown in the grid. A.isosceles triangle B.equilateral triangle C.scalene triangle

Lesson 5 Ex2 Identify the triangle Triangles and Angles This triangle has three sides of equal length. Answer: It is an equilateral triangle.

A.isosceles triangle B.equilateral triangle C.scalene triangle Lesson 5 CYP Triangles and Angles Identify the triangle shown below.

Lesson 5 Ex Triangles and Angles Identify the triangle. Tell if each angle of the triangle is a right angle, less than a right angle, or greater than a right angle. This triangle has three sides that are equal. Answer: It is an equilateral triangle. Every angle is less 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 Lesson 5 CYP Triangles and Angles Identify the triangles below. Tell if each triangle is a right angle, less than a right angle, or greater than a right angle.

End of Lesson 5

Lesson 6 Menu Five-Minute Check (over Lesson 10-5) Main Idea and Vocabulary California Standards Key Concept: Types of Quadrilaterals Example 1: Identify Quadrilaterals Example 2: Identify Quadrilaterals Example 3: Identify Angles 10-6 Quadrilaterals

10-6 Quadrilaterals Lesson 6 MI/Vocab I will identify, describe, and classify different quadrilaterals. parallel rectangle square parallelogram

10-6 Quadrilaterals Lesson 6 Standard 1 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 Lesson 6 Standard 2 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.

Lesson 6 Key Concept Quadrilaterals

Lesson 6 Ex1 Identify the quadrilateral Quadrilaterals This quadrilateral has opposite sides that are the same length and are parallel. Answer: It is a parallelogram.

A.square B.parallelogram C.rectangle Lesson 6 CYP Quadrilaterals Identify the quadrilateral.

Lesson 6 Ex Quadrilaterals Identify the quadrilateral. This quadrilateral has 4 right angles, opposite sides that are equal, and opposite sides that are parallel. Answer: It is a rectangle.

Lesson 6 CYP Quadrilaterals A.square B.parallelogram C.rectangle Identify the quadrilateral.

Lesson 6 Ex Quadrilaterals Identify the quadrilateral. Tell if each angle shown is a right angle, less than a right angle, or greater than a right angle. This quadrilateral has opposite sides that are parallel, 4 sides that are the same length, and 4 right angles. Answer: It is a square. All angles are right angles.

Lesson 6 CYP Quadrilaterals 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 Identify the quadrilateral. Tell if each angle shown is a right angle, less than a right angle, or greater than a right angle.

End of Lesson 6

Lesson 7 Menu Five-Minute Check (over Lesson 10-6) Main Idea California Standards Example 1: Problem-Solving Investigation 10-7 Problem-Solving Investigation: Choose a Strategy

10-7 Problem-Solving Investigation: Choose a Strategy Lesson 7 MI/Vocab I will choose the best strategy to solve a problem.

10-7 Problem-Solving Investigation: Choose a Strategy Lesson 7 Standard 1 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 Lesson 7 Standard 2 Standard 3MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

Lesson 7 Ex1 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 Problem-Solving Investigation: Choose a Strategy

Lesson 7 Ex1 Understand What facts do you know? You know the length and width of the sandbox. The cost of the plastic is $2 per square foot. What do you need to find? Find the total cost of the plastic Problem-Solving Investigation: Choose a Strategy

Lesson 7 Ex1 Plan Draw a picture to help you solve the problem Problem-Solving Investigation: Choose a Strategy

Lesson 7 Ex1 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 Problem-Solving Investigation: Choose a Strategy 24 × $2 = $48$48 is less than $50. Answer: So, $50 will be enough to pay for the plastic.

Lesson 7 Ex1 Check 10-7 Problem-Solving Investigation: Choose a Strategy Look back at the problem. Use addition to check. $24 + $24 < $50 So, the answer is correct.

End of Lesson 7

Lesson 8 Menu Five-Minute Check (over Lesson 10-7) Main Idea and Vocabulary California Standards Key Concept: Solid Figures Example 1: Identify Solid Figures Example 2: Identify Solid Figures 10-8 Solid Figures

10-8 Solid Figures Lesson 8 MI/Vocab I will identify, describe, and classify solid figures. cube rectangular solid cone pyramid cylinder sphere

10-8 Solid Figures Lesson 8 Standard 1 Standard 3MG2.5 Identify, describe, and classify common three-dimensional geometric objects (e.g., cube, rectangular solid, sphere, prism, pyramid, cone, cylinder).

Lesson 8 Key Concept Solid Figures

Lesson 8 Ex1 Identify the solid figure Solid Figures Answer: cone

A.cone B.cube C.cylinder D.rectangular solid Lesson 8 CYP Solid Figures Identify the figure.

Lesson 8 Ex2 Identify the solid figure Solid Figures Answer: sphere

A.cone B.cube C.cylinder D.rectangular solid Lesson 8 CYP Solid Figures Identify the figure.

End of Lesson 8

Lesson 9 Menu Five-Minute Check (over Lesson 10-8) Main Idea California Standards Example 1: Complex Solid Figures Example 2: Complex Solid Figures 10-9 Complex Solid Figures

10-9 Complex Solid Figures Lesson 9 MI/Vocab I will identify common solid objects that make more complex solid objects.

10-9 Complex Solid Figures Lesson 9 Standard 1 Standard 3MG2.6 Identify common solid objects that are the components needed to make a more complex solid object. Standard 3MR1.2 Determine when and how to break a problem into simpler parts.

Lesson 9 Ex1 Identify the figures that make the complex solid Complex Solid Figures Answer: cone, cylinder

Lesson 9 Ex2 Identify the figures that make each complex solid Complex Solid Figures Answer: rectangular solids

End of Lesson 9

Lesson 10 Menu Five-Minute Check (over Lesson 10-9) Main Idea and Vocabulary California Standards Example 1: Find Volume Example 2: Find Volume Measurement: Volume Volume

10-10 Measurement: Volume Lesson 10 MI/Vocab/Standard 1 I will determine the volume of solid figures. volume cubic unit

10-10 Measurement: Volume Lesson 10 Standard 1 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.

Lesson 10 Ex Measurement: Volume How much sand does the sand box hold? There are 15 cubic units on the bottom layer. The sand box can hold two layers. Answer: The sand box can hold 30 cubic units of sand = 30

Lesson 10 CYP 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

Lesson 10 Ex Measurement: Volume Estimate the volume of the figure. There are 16 cubic units in each layer. The figure has 4 layers. Answer: The volume of the figure is 64 cubic units = 64

Lesson 10 CYP Measurement: Volume Estimate the volume of the figure. A.48 cubic units B.36 cubic units C.12 cubic units D.24 cubic units

End of Lesson 10

10 Measurement and Geometry 10 Measurement and Geometry CR Menu Five-Minute Checks Math Tool Chest Image Bank Measurement: Area Volume

10 Measurement and Geometry IB Instructions To use the images that are on the following four slides in your own presentation: 1.Exit this presentation. 2.Open a chapter presentation using a full installation of Microsoft ® PowerPoint ® in editing mode and scroll to the Image Bank slides. 3.Select an image, copy it, and paste it into your presentation.

10 Measurement and Geometry IB 1

10 Measurement and Geometry IB 2

10 Measurement and Geometry IB 3

10 Measurement and Geometry IB 4

10 Measurement and Geometry 10 Measurement and Geometry 5Min Menu Lesson 10-1Lesson 10-1(over Chapter 9) Lesson 10-2Lesson 10-2(over Lesson 10-1) Lesson 10-3Lesson 10-3(over Lesson 10-2) Lesson 10-4Lesson 10-4(over Lesson 10-3) Lesson 10-5Lesson 10-5(over Lesson 10-4) Lesson 10-6Lesson 10-6(over Lesson 10-5) Lesson 10-7Lesson 10-7(over Lesson 10-6) Lesson 10-8Lesson 10-8(over Lesson 10-7) Lesson 10-9Lesson 10-9(over Lesson 10-8) Lesson 10-10Lesson 10-10(over Lesson 10-9)

10 Measurement and Geometry 5Min 1-1 (over Chapter 9) Convert to a smaller unit. A.8,000 B.80 C.10 D L = __ mL

10 Measurement and Geometry 5Min 1-2 (over Chapter 9) Convert to a smaller unit. A.10 B.33 C.15 D.3,000 3 km = __ m

10 Measurement and Geometry 5Min 1-3 (over Chapter 9) Convert to a larger unit. A.15 B.5 C.55 D.120 5,000 g = __ kg

10 Measurement and Geometry 5Min 1-4 (over Chapter 9) Convert to a larger unit. A.16 B.140 C.160 D ,000 mL = __ L

10 Measurement and Geometry 5Min 2-1 (over Lesson 10-1) Classify the polygon. A.triangle B.pentagon C.square D.hexagon

10 Measurement and Geometry 5Min 2-2 (over Lesson 10-1) Classify the polygon. A.triangle B.pentagon C.square D.hexagon

10 Measurement and Geometry 5Min 2-3 (over Lesson 10-1) Classify the polygon. A.triangle B.pentagon C.square D.hexagon

10 Measurement and Geometry 5Min 2-4 (over Lesson 10-1) Classify the polygon. A.triangle B.pentagon C.square D.hexagon

10 Measurement and Geometry 5Min 3-1 (over Lesson 10-2) Find the perimeter of the figure. A.26 cm B.12 cm C.24 cm D.36 cm

10 Measurement and Geometry 5Min 3-2 Find the perimeter of the figure. A.22 in. B.10 in. C.8 in. D.24 in. (over Lesson 10-2)

10 Measurement and Geometry 5Min 3-3 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 (over Lesson 10-2)

10 Measurement and Geometry 5Min 4-1 (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

10 Measurement and Geometry 5Min 4-2 (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

10 Measurement and Geometry 5Min 4-3 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 (over Lesson 10-3)

10 Measurement and Geometry 5Min 5-1 (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

10 Measurement and Geometry 5Min 6-1 Identify the triangle. Write equilateral, isosceles, or scalene. (over Lesson 10-5) A.isosceles B.equilateral C.scalene

10 Measurement and Geometry 5Min 6-2 Identify the triangle. Write equilateral, isosceles, or scalene. (over Lesson 10-5) A.scalene B.equilateral C.isosceles

10 Measurement and Geometry 5Min 6-3 (over Lesson 10-5) Identify the triangle. Write equilateral, isosceles, or scalene. A.scalene B.equilateral C.isosceles

10 Measurement and Geometry 5Min 7-1 (over Lesson 10-6) Identify the quadrilateral. A.rectangle B.square C.parallelogram

10 Measurement and Geometry 5Min 7-2 A.square B.rectangle C.parallelogram (over Lesson 10-6) Identify the quadrilateral.

10 Measurement and Geometry 5Min 7-3 A.square B.rectangle C.parallelogram (over Lesson 10-6) Identify the quadrilateral.

10 Measurement and Geometry 5Min 8-1 (over Lesson 10-7) Solve. 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

10 Measurement and Geometry 5Min 9-1 Identify the solid figure. A.cylinder B.cube C.square (over Lesson 10-8)

10 Measurement and Geometry 5Min 9-2 A.square B.cylinder C.cube (over Lesson 10-8) Identify the solid figure.

10 Measurement and Geometry 5Min 9-3 A.sphere B.cube C.square (over Lesson 10-8) Identify the solid figure.

10 Measurement and Geometry 5Min 9-4 A.square B.cube C.rectangular solid (over Lesson 10-8) Identify the solid figure.

10 Measurement and Geometry 5Min 10-1 Identify the figures that make this complex solid. A.cone, cylinder B.sphere, cone (over Lesson 10-9)

10 Measurement and Geometry 5Min 10-2 (over Lesson 10-9) A.square, cone B.rectangular solid, cylinders Identify the figures that make this complex solid.

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