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Lesson 11-1 Geometry: Congruent Lesson 11-2 Geometry: Symmetry Geometry and Measurement 11 Lesson 11-1 Geometry: Congruent Lesson 11-2 Geometry: Symmetry Lesson 11-3 Measurement: Perimeter Lesson 11-4 Problem-Solving Strategy: Solve a Simpler Problem Lesson 11-5 Measurement: Area Lesson 11-6 Problem-Solving Investigation: Choose a Strategy Lesson 11-7 Measurement: Area of Complex Figures Chapter Menu

Five-Minute Check (over Chapter 10) Main Idea and Vocabulary 11-1 Geometry: Congruent Five-Minute Check (over Chapter 10) Main Idea and Vocabulary California Standards Example 1: Identify Congruent Figures Example 2: Identify Congruent Figures Example 3: Identify Congruent Figures Geometry: Congruent Lesson 1 Menu

I will identify congruent figures. 11-1 Geometry: Congruent I will identify congruent figures. congruent Lesson 1 MI/Vocab

Standard 4MG3.3 Identify congruent figures. 11-1 Geometry: Congruent Standard 4MG3.3 Identify congruent figures. Lesson 1 Standard 1

Tell whether the figures are congruent. 11-1 Geometry: Congruent Tell whether the figures are congruent. The figures have the same size and shape. Answer: The pentagons are congruent. Lesson 1 Ex1

Tell whether the figures are congruent. 11-1 Geometry: Congruent Tell whether the figures are congruent. yes no Lesson 1 CYP1

Tell whether the figures are congruent. 11-1 Geometry: Congruent Tell whether the figures are congruent. The figures do not have the same shape or the same size. Answer: The triangles are not congruent. Lesson 1 Ex2

Tell whether the figures are congruent. 11-1 Geometry: Congruent Tell whether the figures are congruent. yes no Lesson 1 CYP2

Determine whether the gardens are congruent. 11-1 Geometry: Congruent Determine whether the gardens are congruent. Mr. Smith 10 ft 5 ft Mr. Bose 8 ft 4 ft Lesson 1 Ex3

11-1 Geometry: Congruent The diagrams show that both classrooms have the same shape. They are both rectangles. Mr. Smith’s garden has a larger length and a larger width. So, the gardens are not the same size. Answer: Since the gardens have different sizes, they are not congruent. Lesson 1 Ex3

Determine whether the windows are congruent. 11-1 Geometry: Congruent Determine whether the windows are congruent. 5 ft 3 ft 6 ft 3 ft yes no Lesson 1 CYP3

End of Lesson 1

Five-Minute Check (over Lesson 11-1) Main Idea and Vocabulary 11-2 Geometry: Symmetry Five-Minute Check (over Lesson 11-1) Main Idea and Vocabulary California Standards Example 1: Line Symmetry Example 2: Line Symmetry Example 3: Identify Rotational Symmetry Lesson 2 Menu

I will identify figures that have bilateral and rotational symmetry. 11-2 Geometry: Symmetry I will identify figures that have bilateral and rotational symmetry. line symmetry line of symmetry bilateral symmetry rotational symmetry Lesson 2 MI/Vocab

11-2 Geometry: Symmetry Standard 4MG3.4 Identify figures that have bilateral and rotational symmetry. Lesson 2 Standard 1

Answer: Yes; the figure has 1 line of symmetry. 11-2 Geometry: Symmetry Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has. Answer: Yes; the figure has 1 line of symmetry. Lesson 2 Ex1

11-2 Geometry: Symmetry Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has. yes; 1 yes; 2 yes; 4 no Lesson 2 CYP1

Answer: Yes; the figure has 2 lines of symmetry. 11-2 Geometry: Symmetry Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has. Answer: Yes; the figure has 2 lines of symmetry. Lesson 2 Ex2

11-2 Geometry: Symmetry Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has. yes; 1 yes; 2 yes; 3 no Lesson 2 CYP2

Tell whether the figure has rotational symmetry. 11-2 Geometry: Symmetry Tell whether the figure has rotational symmetry. Lesson 2 Ex3

11-2 Geometry: Symmetry Answer: The figure has rotational symmetry because it is the same after each rotation. Lesson 2 Ex3

Tell whether the figure has rotational symmetry. 11-2 Geometry: Symmetry Tell whether the figure has rotational symmetry. yes no Lesson 2 CYP3

End of Lesson 2

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

I will find the perimeter of a polygon. 11-3 Measurement: Perimeter I will find the perimeter of a polygon. perimeter Lesson 3 MI/Vocab

11-3 Measurement: Perimeter Standard 4MG1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes. Lesson 3 Standard 1

11-3 Measurement: Perimeter Standard 4AF1.4 Use and interpret formulas to answer questions about quantities and their relationships. Lesson 3 Standard 2

11-3 Measurement: Perimeter Lesson 3 Key Concept 1

11-3 Measurement: Perimeter Meli is creating a pen for her puppy. The picture shows the layout for the pen. What is the perimeter of the pen? 60 in. 36 in. Lesson 3 Ex1

Add the measures of all of the sides of the figure. 11-3 Measurement: Perimeter One Way: Use Addition Add the measures of all of the sides of the figure. P = 36 + 36 + 60 + 60 P = 192 Lesson 3 Ex1

Another Way: Use Formula 11-3 Measurement: Perimeter Another Way: Use Formula Multiply the length and the width by 2. Then add. P = (2 × ) + (2 × w) P = (2 × 60) + (2 × 36) P = 120 + 72 or 192 Answer: So, the perimeter of the pen is 192 inches. Lesson 3 Ex1

11-3 Measurement: Perimeter Surgie wants to build a fence for her yard. The picture shows the layout of her fence around the yard. What is the perimeter of the fence? 46 ft 192 ft 525 ft 92 ft 21 ft 25 ft Lesson 3 CYP1

Find the perimeter of a square with a side length of 7 centimeters. 11-3 Measurement: Perimeter Find the perimeter of a square with a side length of 7 centimeters. There is more than one way to find the perimeter of a square. Lesson 3 Ex2

Add the measures of all of the sides of the figure. 11-3 Measurement: Perimeter One Way: Use Addition Add the measures of all of the sides of the figure. P = 7 + 7 + 7 + 7 P = 28 Lesson 3 Ex2

Another Way: Use Formula 11-3 Measurement: Perimeter Another Way: Use Formula Multiply the length of one side by 4 because there are 4 sides of equal length. P = 4 × side length P = 4 × 7 P = 28 Answer: So, the perimeter of the square is 28 centimeters. Lesson 3 Ex2

Find the perimeter of a square with a side of 11 centimeters. 11-3 Measurement: Perimeter Find the perimeter of a square with a side of 11 centimeters. 11 cm 15 cm 44 cm 55 cm Lesson 3 CYP2

End of Lesson 3

Five-Minute Check (over Lesson 11-3) Main Idea California Standards 11-4 Problem-Solving Strategy: Solve a Simpler Problem Five-Minute Check (over Lesson 11-3) Main Idea California Standards Example 1: Problem-Solving Strategy Lesson 4 Menu

I will solve problems by solving a simpler problem. 11-4 Problem-Solving Strategy: Solve a Simpler Problem I will solve problems by solving a simpler problem. Lesson 4 MI/Vocab

11-4 Problem-Solving Strategy: Solve a Simpler Problem Standard 4MR1.2 Determine when and how to break a problem into simpler parts. Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations. Lesson 4 Standard 1

11-4 Problem-Solving Strategy: Solve a Simpler Problem Pearl is painting a backdrop that is 30 feet long and 12 feet wide for her school play. The backdrop needs two coats of paint. She has two cans of paint. Each can of paint covers 400 square feet of backdrop. Does Pearl have enough paint? Lesson 4 Ex1

Understand What facts do you know? 11-4 Problem-Solving Strategy: Solve a Simpler Problem Understand What facts do you know? The 30-foot by 12-foot backdrop needs two coats of paint. Pearl has two cans of paint. Each can of paint covers 400 square feet. What do you need to find? Determine if Pearl has enough paint. Lesson 4 Ex1

11-4 Problem-Solving Strategy: Solve a Simpler Problem Plan Find how much paint is needed to paint the backdrop twice. Then find the total area the two cans of paint will cover and compare. You can solve a simpler problem to find the answer. Lesson 4 Ex1

Solve Find the area of one section of the backdrop. 11-4 Problem-Solving Strategy: Solve a Simpler Problem Solve Find the area of one section of the backdrop. 10 × 12 = 120 square feet Lesson 4 Ex1

11-4 Problem-Solving Strategy: Solve a Simpler Problem Solve To find the area of the entire backdrop, multiply the area of one section of the backdrop by 3. 120 × 3 or 360 square feet Since the backdrop needs to be painted twice, you need 360 + 360 or 720 square feet of paint. Answer: Since 720 < 800, there is enough paint. Lesson 4 Ex1

11-4 Problem-Solving Strategy: Solve a Simpler Problem Check The area of the backdrop is 30 × 12 or 360 square feet. Two coats of paint would need to cover 720 square feet. Since Pearl has enough paint to cover 800 square feet, the answer is correct. Lesson 4 Ex1

End of Lesson 4

Five-Minute Check (over Lesson 11-4) Main Idea and Vocabulary 11-5 Measurement: Area Five-Minute Check (over Lesson 11-4) Main Idea and Vocabulary California Standards Key Concept: Area of a Rectangle Key Concept: Area of a Square Example 1: Area of a Rectangle Example 2: Area of a Square Perimeter and Area Lesson 5 Menu

I will find the area of rectangles and squares. 11-5 Measurement: Area I will find the area of rectangles and squares. area square units Lesson 5 MI/Vocab

11-5 Measurement: Area Standard 4MG1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes. Lesson 5 Standard 1

11-5 Measurement: Area Standard 4MG1.1 Measure the area of rectangular shapes by using appropriate units, such as square centimeter (cm2), square meter (m2), square kilometer (km2), square inch (in.2), square yard (yd.2), or square mile (mi.2). Lesson 5 Standard 1

11-5 Measurement: Area Lesson 5 Key Concept 1

11-5 Measurement: Area Lesson 5 Key Concept 2

Find the area of the rectangle. 11-5 Measurement: Area Find the area of the rectangle. 7 4 Lesson 5 Ex1

One Way: Count the square units. 11-5 Measurement: Area One Way: Count the square units. 7 4 There are 28 square units. Lesson 5 Ex1

Multiply the length times the width to find the area. 11-5 Measurement: Area Another Way: Multiply Multiply the length times the width to find the area. A = length × width A = × w = 7 units × 4 units = 28 square units Answer: So, the area is 28 square units. Lesson 5 Ex1

11-5 Measurement: Area What is the area of a rectangle with a length of 3 centimeters and a width of 7 centimeters? 10 square centimeters 20 square centimeters 21 square centimeters 42 square centimeters Lesson 5 CYP1

What is the area of a square with sides that are 6 inches in length? 11-5 Measurement: Area What is the area of a square with sides that are 6 inches in length? A = side × side Formula A = 6 in. × 6 in. Replace s with 6. A = 36 square inches Multiply. Answer: So, the area of the square is 36 square inches. Lesson 5 Ex2

What is the area of a square with sides that are 5 inches in length? 11-5 Measurement: Area What is the area of a square with sides that are 5 inches in length? 5 square inches 10 square inches 20 square inches 25 square inches Lesson 5 CYP2

End of Lesson 5

Five-Minute Check (over Lesson 11-5) Main Idea California Standards 11-6 Problem-Solving Investigation: Choose a Strategy Five-Minute Check (over Lesson 11-5) Main Idea California Standards Example 1: Problem-Solving Investigation Lesson 6 Menu

I will choose the best strategy to solve a problem. 11-6 Problem-Solving Investigation: Choose a Strategy I will choose the best strategy to solve a problem. Lesson 6 MI/Vocab

11-6 Problem-Solving Investigation: Choose a Strategy Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing, and prioritizing information, and observing patterns. Lesson 6 Standard 1

11-6 Problem-Solving Investigation: Choose a Strategy Standard 4NS3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations. Lesson 6 Standard 1

LYNN: It takes me 4 minutes to jog one block in my neighborhood. 11-6 Problem-Solving Investigation: Choose a Strategy LYNN: It takes me 4 minutes to jog one block in my neighborhood. YOUR MISSION: Find how long it takes Lynn to jog the route in her neighborhood. Lesson 6 Ex1

Understand What facts do you know? 11-6 Problem-Solving Investigation: Choose a Strategy Understand What facts do you know? It takes Lynn 4 minutes to jog one block. A map is given of her jogging route. What do you need to find? Find how many minutes it takes her to jog the route shown. Lesson 6 Ex1

Plan You can use number sentences to solve the problem. 11-6 Problem-Solving Investigation: Choose a Strategy Plan You can use number sentences to solve the problem. Lesson 6 Ex1

Solve First find the total number of blocks Lynn jogs. 11-6 Problem-Solving Investigation: Choose a Strategy Solve First find the total number of blocks Lynn jogs. 2 + 2 + 2 + 2 + 4 + 4 = 16 Add the distances. total blocks So, she jogs 16 blocks. Lesson 6 Ex1

Solve Use number sentences to find how long it takes to jog the route. 11-6 Problem-Solving Investigation: Choose a Strategy Solve Use number sentences to find how long it takes to jog the route. 4 × 16 = 64 minutes per block total blocks total minutes Answer: So, Lynn jogs for 64 minutes. Lesson 6 Ex1

11-6 Problem-Solving Investigation: Choose a Strategy Check To check your work estimate an answer: 4 × 20 = 80. Since 80 is close to 64, the answer is correct. Lesson 6 Ex1

End of Lesson 6

Five-Minute Check (over Lesson 11-6) Main Idea and Vocabulary 11-7 Measurement: Area of Complex Figures Five-Minute Check (over Lesson 11-6) Main Idea and Vocabulary California Standards Example 1: Area of a Complex Figure Example 2: Area of a Complex Figure Lesson 7 Menu

Lesson 7 MI/Vocab/Standard 1 11-7 Measurement: Area of Complex Figures I will find the area of complex figures. complex figure Lesson 7 MI/Vocab/Standard 1

Lesson 7 MI/Vocab/Standard 2 11-7 Measurement: Area of Complex Figures Standard 4MG1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes. Lesson 7 MI/Vocab/Standard 2

Find the area of the baseball stands. 11-7 Measurement: Area of Complex Figures Find the area of the baseball stands. Step 1 Break up the figure into smaller parts. The figure is already broken up into two rectangles that are easy to work with. Lesson 7 Ex1

Step 2 Find the area of each part. 11-7 Measurement: Area of Complex Figures Step 2 Find the area of each part. Horizontal Rectangle A = length × width A = 10 ft × 4 ft A = 40 square feet Lesson 7 Ex1

Vertical Rectangle A = length × width A = 14 ft × 4 ft 11-7 Measurement: Area of Complex Figures Vertical Rectangle A = length × width A = 14 ft × 4 ft A = 56 square feet Lesson 7 Ex1

40 square feet + 56 square feet = 96 square feet 11-7 Measurement: Area of Complex Figures Step 3 Add the areas. 40 square feet + 56 square feet = 96 square feet Answer: The area of the baseball stands is 96 square feet. Lesson 7 Ex1

Find the area of the figure. 11-7 Measurement: Area of Complex Figures Find the area of the figure. 97 square inches 132 square inches 127 square inches 39 square inches Lesson 7 CYP1

Find the area of the complex figure. 11-7 Measurement: Area of Complex Figures Find the area of the complex figure. Step 1 Break up the figure into smaller parts. Look for rectangles and squares. This figure can be broken up into 1 rectangle and 2 squares. Lesson 7 Ex2

Step 2 Find the area of each part. 11-7 Measurement: Area of Complex Figures Step 2 Find the area of each part. Rectangle A = length × width A = 9 in. × 2 in. A = 18 square inches Lesson 7 Ex2

Square A = side × side A = 2 in. × A = 4 square inches 11-7 Measurement: Area of Complex Figures Square A = side × side A = 2 in. × A = 4 square inches Lesson 7 Ex2

Answer: So, the area is 26 square inches. 11-7 Measurement: Area of Complex Figures Step 3 Add the areas. 18 + 4 + 4 = 26 Answer: So, the area is 26 square inches. Lesson 7 Ex2

Find the area of the complex figure. 11-7 Measurement: Area of Complex Figures Find the area of the complex figure. 26 square centimeters 14 square centimeters 9 square centimeters 6 square centimeters Lesson 7 CYP2

End of Lesson 7

11 Five-Minute Checks Math Tool Chest Image Bank Geometry: Congruent Geometry and Measurement 11 Five-Minute Checks Math Tool Chest Image Bank Geometry: Congruent Perimeter and Area CR Menu

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Lesson 11-1 (over Chapter 10) Lesson 11-2 (over Lesson 11-1) Geometry and Measurement 11 Lesson 11-1 (over Chapter 10) Lesson 11-2 (over Lesson 11-1) Lesson 11-3 (over Lesson 11-2) Lesson 11-4 (over Lesson 11-3) Lesson 11-5 (over Lesson 11-4) Lesson 11-6 (over Lesson 11-5) Lesson 11-7 (over Lesson 11-6) 5Min Menu

(over Chapter 10) If a circle has a radius of 4 meters, what is the length of the diameter? 2 meters 4 meters 8 meters 16 meters 5Min 1-1

If a circle has a diameter of 12 inches, what is the radius? (over Chapter 10) If a circle has a diameter of 12 inches, what is the radius? 2 inches 6 inches 12 inches 24 inches 5Min 1-2

Tell whether the figures are congruent. (over Lesson 11-1) Tell whether the figures are congruent. yes no 5Min 2-1

Tell whether the figures are congruent. (over Lesson 11-1) Tell whether the figures are congruent. yes no 5Min 2-2

Tell whether the figures are congruent. (over Lesson 11-1) Tell whether the figures are congruent. yes no 5Min 2-3

Tell whether the figures are congruent. (over Lesson 11-1) Tell whether the figures are congruent. yes no 5Min 2-4

(over Lesson 11-2) Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has. yes, 4 no, 0 yes, 1 yes, 2 5Min 3-1

(over Lesson 11-2) Tell whether the figure has line symmetry. Then tell how many lines of symmetry the figure has. yes, 1 yes, 2 no, 0 yes, 0 5Min 3-2

Tell whether the figure has rotational symmetry. (over Lesson 11-2) Tell whether the figure has rotational symmetry. yes no 5Min 3-3

Tell whether the figure has rotational symmetry. (over Lesson 11-2) Tell whether the figure has rotational symmetry. yes no 5Min 3-4

(over Lesson 11-3) Find the perimeter of a rectangle that is 12 feet long and 3 feet wide. 27 feet 15 feet 30 feet 18 feet 5Min 4-1

Find the perimeter of a square that is 9 yards on one side. (over Lesson 11-3) Find the perimeter of a square that is 9 yards on one side. 9 yards 18 yards 27 yards 36 yards 5Min 4-2

Sabrina spends more money; $0.05 Lavanya spends more money; $0.05 (over Lesson 11-4) Solve. Lavanya buys a 5-pound watermelon for 41¢ per pound. Sabrina buys an 8-pound watermelon for 25¢ per pound. Who spends more money, and how much more? Sabrina spends more money; $0.05 Lavanya spends more money; $0.05 Lavanya spends more money; $0.03 Lavanya spends more money; $0.16 5Min 5-1

Find the area of a rectangle that is 3 inches by 7 inches. (over Lesson 11-5) Find the area of a rectangle that is 3 inches by 7 inches. 21 square inches 10 inches 21 inches 10 square inches 5Min 6-1

Find the area of a rectangle that is 2 centimeters by 8 centimeters. (over Lesson 11-5) Find the area of a rectangle that is 2 centimeters by 8 centimeters. 20 square centimeters 10 square centimeters 16 square centimeters 18 square centimeters 5Min 6-2

Find the area of a square that has sides of 5 yards. (over Lesson 11-5) Find the area of a square that has sides of 5 yards. 20 yards 25 square yards 20 square yards 10 square yards 5Min 6-3

Find the area of a square with 9 feet per side. (over Lesson 11-5) Find the area of a square with 9 feet per side. 18 square feet 36 square feet 72 square feet 81 square feet 5Min 6-4

(over Lesson 11-6) Solve. On weekdays, a restaurant serves 25 customers for lunch and 50 for dinner. On Saturday and Sunday, the number of customers doubles. Find the number of customers the restaurant serves in one week. 375 customers 525 customers 675 customers 1,050 customers 5Min 7-1

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