9.1. Formulas for Area and Perimeter. Are You Ready? Lesson Opener Making Connections. Resources. Essential Question

Size: px
Start display at page:

Download "9.1. Formulas for Area and Perimeter. Are You Ready? Lesson Opener Making Connections. Resources. Essential Question"

Transcription

1 9.1 Formulas for Area and Perimeter? Essential Question How can you use formulas to find the area and perimeter of shapes? How can you use formulas to find the area and perimeter of shapes? Lesson Opener Making Connections Invite children to tell you what they know about perimeter. What is perimeter? (It is the distance around an object.) Why is the fence in a school playground or in a yard like a perimeter? (Possible Answer: because it is the distance around the area in which a school playground or a yard resides.) Texas Essential Knowledge and Skills Algebraic Reasoning 5.4.B Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity 5.4.H Represent and solve problems related to perimeter and/or area and related to volume MATHEMATICAL PROCESSES 5.1.A Apply mathematics to problems 5.1.F Analyze mathematical relationships Are You Ready? Access Prior Knowledge Use the Are You Ready? 9.1 in the Assessment Guide to assess students understanding of the prerequisite skills for this lesson. Vocabulary formula Go to Multimedia eglossary at thinkcentral.com Using the Digital Lesson You may wish to review perimeter by using a string or tape measure to show students the perimeter around various objects in the classroom. Learning Task What is the problem the children are trying to solve? Connect the story to the problem. What problem are you trying to solve? (how many yards is the distance or perimeter around this block) What is Jed s neighbor doing for exercise? (walking around the block) What shape is the block? (rectangle) How long is the block? (110 yards) How wide is the block? (40 yards) What mathematical operation could you use to solve this problem? (addition) Literacy and Mathematics Choose one or more of the following activities. Have students use rulers to measure the perimeter of their desks and textbooks. Have students discuss how they found these results. Have students act out the problem in the classroom or on school grounds. Have students explain why physically walking the distance around an object may not always be possible and why other methods for perimeter calculation exist. For the student Resources Interactive Student Edition provides students with an interactive learning environment! Math on the Spot Video Tutor itools Virtual Manipulatives Soar to Success Math Online Intervention For the teacher Digital Management Center organizes program resources by TEKS! eteacher Edition Online Assessment System Lesson A

2 Unlock the Problem Review the terms formula, perimeter, and area with the class. Have students define each term in their own words. Why do we need to find the perimeter? Lloyd wants to put a fence around his garden, so we need to find the distance around the garden, or the perimeter. Why do we add the four numbers? Lloyd s garden is shaped like a rectangle and a rectangle has 4 sides. Review the difference between area and perimeter, emphasizing that area is measured using square units. What numbers do you need to use to find the area of the garden? the length and the width of the garden, or 40 ft and 24 ft Try This! Have students find the perimeter of the rectangle using both formulas and discuss which they find easier to use. Math Talk Mathematical Processes Use Math Talk to focus on students understanding of how to use the properties of operations to rewrite a formula.? 9.1 Formulas for Area and Perimeter Essential Question Unlock the Problem How can you use formulas to find the area and perimeter of shapes? A formula is an equation that expresses a mathematical rule. You can use formulas to find the perimeter and area of rectangles. Lloyd is planting a rectangular garden that measures 40 feet by 24 feet. He wants to put a fence around it to protect his vegetables from rabbits. How many feet of fencing does he need? Use a formula to find the perimeter. P = l + w + l + w P = 40 + _ 24 + _ 40 + _ 24 P = _ 128 P = perimeter; l = length; w = width The perimeter is _ feet. So, Lloyd needs _ feet of fencing. Lloyd needs to find how large his garden is so he can order enough mulch for the garden. What is the area of Lloyd s garden? Use a formula to find the area. A = _ 40 _ 24 A = _ 960 So, the area of Lloyd s garden is _ 960 square feet. Try This! You can also use the formula P = 2l + 2w to find the perimeter. What is the perimeter of a rectangle that is 12 feet long and 16 feet wide? P = 2 _ _ 16 P = _ 56 Add. 128 Multiply. The perimeter is _ 56 feet. Replace the unknowns with the lengths and the widths. 128 Replace the unknowns with the length and the width. Algebraic Reasoning 5.4.B, 5.4.H MATHEMATICAL PROCESSES 5.1.A, 5.1.F Remember Area is measured in square units, such as square feet or sq ft. A = area; l = length; w = width Possible explanation: I can use the Commutative Replace the unknowns with the length and the width. Property to change the order of the addends P = l + l + w + w. I can use the Associative Property to group the addends. So, P = (l + l) + (w + w). Repeated addition is the same as multiplication so P = 2l + 2w. Math Talk Mathematical Processes Explain how you can use the properties of operations to rewrite P = l + w + l + w as P = 2l + 2w. Module English Language Learners Leveled Activities Beginning: Activity 20 Intermediate: Activity 54 Advanced: Activity 58 Advanced High: Activity 43 ELPS 1.A.1, 3.G.2, 4.C.3 3.B.3, 3.D.2, 4.F.2 2.C.2, 4.C.3, 4.F.9 4.F.8, 4.G.2, 4.G.4 thinkcentral.com for the ELL Activity Guide containing these leveled activities. ELL Language Support ELPS 1.A.1, 4.C.2, 4.F.10 Strategy: Explore Context Visual / Verbal / Linguistic Whole Class Most Latin American countries use the metric system to measure distances. Make sure students understand the metric equivalents for inch and foot, and the corresponding terms and abbreviations in English inches centimeters Module 9

3 You can find the area of complex figures by separating them into two or more simpler shapes. Example Find the area. STEP 1 Separate the figure into a rectangle and a square. STEP 2 Find the area of the rectangle. A = _ 5 4 A = _ 20 The area of the rectangle is _ 20 square meters. STEP 3 Find the area of the square. A = _ s s A = _ 3 3 A = _ 9 4 m 5 m 3 m 3 m Example Why do you separate the complex figure into a rectangle and a square? Possible answer: since I don t know the formula for finding the area of the complex figure, I subdivided it into a rectangle and a square. How do the formulas for the area of a square and the area of a rectangle relate to each other? Possible answer:the area of a rectangle is equal to the length of the rectangle times its width. Since a square has a length that is equal to its width, I can rewrite the formula as s s, where s is the length of the sides. The area of the square is _ 9 square meters. STEP 4 Find the area of the complex figure by adding the areas. A = _ 20 + _ 9 A = _ 29 So, the area of the complex figure is _ 29 square meters. Share and Show Use the checked exercises for Quick Check. Students should show their answers for the Quick Check on the MathBoard. Share and Show 1. Find the perimeter of the square. 2. Find the area of the rectangle Quick Check IF a student misses the checked exercises 12 feet THEN Differentiate Instruction with RtI Tier 1 Lesson feet P = _ 14 + _ + _ 14 + _ A = _ _ P = _ 56 A = _ 300 The perimeter is _ 56 meters. The area is _ 300 square feet. 350 COMMON ERRORS Error Students may confuse the formulas for area and perimeter and add lengths instead of multiplying. Example 6 m 2 m Enrich Bodily / Kinesthetic Small Groups Materials: rulers, text books or other flat objects Ask students to find the perimeter and area of their math text book covers. Ask them to measure in both centimeters and inches. Students should work in groups. When measuring, students can round each dimension to the nearest centimeter or inch. Have groups present and discuss their findings. The area is 8 square meters. Springboard to Learning Have students draw a rectangle and write AREA in big block letters inside it. Have students draw a second rectangle and write PERIMETER in big block letters around the outside of it, and then color the outline of the rectangle. Go to Go to thinkcentral.com for additional enrichment activities in the Enrich Activity Guide. Lesson

4 Problems For Exercise 3, students should explain that all the sides of a square are the same length. They also use the idea that repeated addition is the same as multiplication. Students will use the formula for finding the area of a rectangle to find the unknown measure in Exercise 4. Exercise 6 requires students to recall the formula for perimeter of a rectangle and to use it to find an unknown width. In Exercise 7, students encounter an incorrect perimeter. They must uncover where an error was made and correct it to find the actual perimeter of fencing needed. 3. Explain how you can use s to write the formula for the perimeter of a square with side length s. Possible explanation: The sides of a square are the same length so I can write the formula for the perimeter as P = s + s + s + s. That is the same as P = 4s. 4. A rectangle has an area of 96 square feet. If the length of the rectangle is 12 feet, what is the width of the rectangle? 8 feet; Possible answer: I can use the formula for the area of a rectangle,. I know the area and the length so I replace them in the formula. 96 = 12 w. I know that 12 times 8 is 96 so w = 8. The width is 8 feet. 5. Brent plans to stain a deck that is 14 feet by 8 feet. If one can of stain covers an area of 100 square feet, how many cans of stain will he need? Explain. 2 cans; Possible explanation: The area of the deck is 14 8, or 112 square feet. Since 1 can covers 100 square feet, he will need a second can to cover the rest. Math on the Spot Video Tutor Through the Math on the Spot Video Tutor, students will be guided through an interactive solving of this type of H.O.T. problem. Use this video to also help students solve the H.O.T. problem in the Interactive Student Edition. With these videos and H.O.T. problems, students will build skills needed in the TEXAS assessment. Math on the Spot videos are in the Interactive Student Edition and at thinkcentral.com. 6. Multi-Step Latoya uses 50 feet of wood to make a rectangular garden bed. If the length of the garden bed is 10 feet, what is the width? 15 feet; Possible explanation: I can use the formula for the perimeter of a rectangle, P = 2l + 2w. I know the perimeter and the length of the garden so I replace them in the formula. 50 = (2 10) + (2 w). Now I know that 50 = w. Since is 50, 2w must be 30 feet. So, w = What s the Error? Maggie wants to fence off two sideby-side sections of her garden. Each section is 14 feet long and 6 feet wide. She says she needs 80 feet of fencing. Explain what is wrong with her thinking. How much fencing does she really need? Possible explanation: Maggie forgot that the sections of her garden share a side. That side only needs to have one section of fence. She needs 66 feet of fencing. Module 9 Lesson RtI Tier 1 Lesson 49 Enrich 52 LESSON Find 49 Perimeter and Area OBJECTIVE Use the strategy solve a simpler problem to solve perimeter and area problems. Use the strategy solve a simpler problem. Alexandra is going to paint a wall in her bedroom. The wall is 15 feet long and 8 feet high. A window measures 6 feet wide and 4 feet high. How many square feet of the wall will Alexandra paint? Read and Plan What do I need to find? I need to find how many square feet of the wall Alexandra will paint. What information am I given? The paint will cover the wall. The paint will not cover the window. The length of the wall is 15 feet and the height is 8 feet. The width of the window is 6 feet and the height is 4 feet. What is my plan or strategy? I can solve simpler problems. Find the area of the wall. Then, find the area of the window. Last, subtract the area of the window from the area of the wall. 1. In the problem above, the window and the wall in Alexandra s room are both rectangular. How much greater is the perimeter of the wall than the perimeter of the window? B, 5.4.H Solve First, find the area of the wall. = 15 8 = 120 square feet Next, find the area of the window. = 4 6 = 24 square feet Last, subtract the area of the window from the area of the wall square feet So, Alexandra will paint 96 square feet of her bedroom wall. 2. Nicole has a rectangular canvas that is 12 inches long and 10 inches wide. She paints a blue square in the center of the canvas. The square is 3 inches on each side. What area of the canvas is NOT painted blue? 26 feet 111 square inches Enrich 52 Rectangular Riddles Solve each riddle. 1. I am a rectangle. My perimeter is 2. I am a rectangle, and my area is feet. My length is twice as long as square inches. My width is 2 inches my width. How much area do I cover? shorter than my length. What is my perimeter? 200 square feet 36 inches 3. I am the fencing around the 4. I am a rectangular picture frame. If I rectangular lion exhibit at a zoo. The were straight, I would be 120 inches lions have 1,000 square meters to long. I am wrapped around a picture, roam inside a rectangular area that and my length is twice as long as my is 15 meters longer than it is wide. width. What is the area of the picture If I were to unwind and make myself that I am wrapped around? straight, how long would I be? 130 meters 800 square inches 5. Stretch Your Thinking Write two of your own rectangular riddles. Write one that asks for perimeter and one that asks for area. Check students work. 351 Module 9 Geometry and Measurement 97 Enrich E52

5 Daily Assessment Task Fill in the bubble for the correct answer choice Apply Tina is fixing a rectangular sign. She plans to place metal trim around the sign edges. The rectangle measures 32 inches by 9 inches. How much trim will Tina need? A B C D 36 inches 41 inches 72 inches 82 inches 9. A rectangle has a length of 5 meters and a width of 4 meters. Which equation can you use to find the perimeter? A P = 4 5 B P = 4 4 C P = D P = Multi-Step Lana had an L shaped piece of felt. Her mom cut it into two rectangles. One rectangle measured 4 inches by 9 inches, and the other measured 4 inches by 3 inches. What is the total area of the two rectangles? A 40 square inches C 72 square inches B 48 square inches D 24 square inches TEXAS Test Prep 11. Mai wants to tile the floor of her kitchen. Each tile has an area of 1 square foot. The floor of her kitchen is 11 feet by 16 feet. How many tiles does she need? A 150 B 54 C 176 D 352 Mathematical Processes 2 Daily Assessment Task 1 Can students use formulas to find the area and perimeter of rectangles? IF NO YES THEN TEXAS Test Prep Coach In the Test Prep exercise, if students selected: A They estimated the number of tiles when an accurate number was needed. B They found the perimeter. C They doubled the product of the two sides.? Essential Question Soar to Success Math Warm-Up 47.34, Enrich 52 Homework and Practice Lesson 9.1 Write Math How can you use formulas to find the area and perimeter of shapes? Possible answer: I can replace the unknowns in the formula with the measures of the length and width of the shape. 3 Differentiated Centers Kit Games Games Around the Block Students find the perimeter of closed figures. Literature Catching the Wind Students read about different types of sails and their area. Activities Fabulous Formulas Students complete purple Activity Card 10 by connecting models for area and perimeter with the correct formula. Lesson

6 5 Homework and Practice Algebraic Reasoning 5.4.B, 5.4.H MATHEMATICAL PROCESSES 5.1.A, 5.1.F Lesson Check Fill in the bubble completely to show your answer. TEXAS Test Prep 9.1 Formulas for Area and Perimeter 7. A soccer field has a length of 100 yards and a width of 60 yards. Which equation can you use to find the area of the soccer field? 8. A baseball diamond is a square with a perimeter of 360 feet. What is the length of one side? 1. Find the perimeter of the rectangle. 2. Find the area of the square. A A = A 80 feet B A = B 180 feet 15 feet C A = C 90 feet 21 feet 17 inches P = _ 21 + _ 15 +_ 21 + _ 15 A = _ 17 _ 17 D A = D 60 feet P = _ 72 The perimeter is _ 72 feet. 3. A rectangle has a perimeter of 68 inches. If the width of the rectangle is 10 inches, what is the length of the rectangle? Explain how you know. 4. A square has an area of 81 square feet. What is the length of each side of the square? Explain how you know. A = _ 289 The area is _ 289 square inches. 24 inches; Possible explanation: I can use the formula for the perimeter of a rectangle, P = 2l + 2w. 68 = (2 l) + (2 10), so 68 = 2l + 20; 68 = and 2 24 = Zoey wants to cover her bedroom floor with carpet squares. Each square has an area of 1 square foot. Her bedroom measures 12 feet by 14 feet. How many carpet squares does Zoey need? A 168 B 144 C 336 D Edward wants to put a string of lights around a rectangular window that is 32 inches wide and 40 inches high. How long will the string of lights need to be to go around the window? A 72 inches B 1,280 inches C 144 inches D 112 inches 9 feet; Possible explanation: I can use the formula for the area of a rectangle,. I know that all 4 sides of a square are the same length and 9 9 = Lea wants to put a fence around her garden. Her garden measures 14 feet by 15 feet. She has 50 feet of fencing. How many more feet of fencing does Lea need to put a fence around her garden? 8 feet 6. Lea wants to put a new layer of soil on her 14 feet by 15 feet garden. She finds the area of her garden so she knows how much soil to buy. If one bag of soil covers 20 square feet, how many bags of soil will Lea need? Explain. 11 bags; Possible explanation: A = 14 15; A = 210 square feet; 20 sq ft 10 bags = 200 square feet, so she needs 11 bags to cover 210 square feet. Module 9 Lesson Multi-Step Chantal buys two small rugs for her kitchen. One rug measures 3 feet by 5 feet. The other rug measures 4 feet by 6 feet. What is the area of the part of the kitchen the two rugs will cover? A 39 square feet B 30 square feet C 24 square feet D 36 square feet Multi-Step Isaac is painting a wall that is 9 feet by 18 feet. So far, he has painted a part of the wall that is a 4 feet by 7 feet rectangle. What is the area of the part of the wall that Isaac has left to paint? A 190 square feet B 134 square feet C 22 square feet D 151 square feet Homework and Practice Use the Homework and Practice pages to provide students with more practice on the concepts and skills of this lesson Module 9

16.2. Use Area Models. Are You Ready? Lesson Opener Making Connections. Resources. Texas Essential Knowledge and Skills.

16.2. Use Area Models. Are You Ready? Lesson Opener Making Connections. Resources. Texas Essential Knowledge and Skills. 6.? Essential Question Why can you multiply to find the area of a rectangle? Why can you multiply to find the area of a rectangle? Lesson Opener Making Connections Invite students to tell you what they

More information

9.2 HANDS ON. Count Collections of Coins? Are You Ready? Lesson Opener Making Connections. Resources. Texas Essential Knowledge and Skills.

9.2 HANDS ON. Count Collections of Coins? Are You Ready? Lesson Opener Making Connections. Resources. Texas Essential Knowledge and Skills. 9.2 HANDS ON Essential Question How can you count a group of pennies, nickels, and dimes How can you count a group of pennies, nickels, and dimes Lesson Opener Making Connections Invite children to tell

More information

11.4. PROBLEM SOLVING Money? Are You Ready? Lesson Opener Making Connections. Resources. Texas Essential Knowledge and Skills.

11.4. PROBLEM SOLVING Money? Are You Ready? Lesson Opener Making Connections. Resources. Texas Essential Knowledge and Skills. .4 PROBLEM SOLVING Money? Essential Question How can acting it out help you solve a problem about money? How can acting it out help you solve a problem about money? Lesson Opener Making Connections Invite

More information

Model Perimeter. So, the perimeter of the figure is 16 units. centimeters. centimeters. centimeters. centimeters

Model Perimeter. So, the perimeter of the figure is 16 units. centimeters. centimeters. centimeters. centimeters Lesson 11.1 Reteach Model Perimeter Perimeter is the distance around a figure. Find the perimeter of the figure. Step 1 Choose a unit to begin counting and label it 1. 1 1 unit Step 2 Count each unit around

More information

Investigate Model with Arrays

Investigate Model with Arrays LESSON 6.6 Progress to Algebra Investigate Model with Arrays FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards 3.OA.A.3 Use multiplication and division within 100 to solve

More information

Student Outcomes. Lesson Notes. Classwork. Discussion (5 minutes)

Student Outcomes. Lesson Notes. Classwork. Discussion (5 minutes) Student Outcomes Students determine the area of composite figures in real life contextual situations using composition and decomposition of polygons. Students determine the area of a missing region using

More information

Area and Perimeter. Practice 1 Area of a Rectangle. Find the area of each figure. Example. one-inch squares.

Area and Perimeter. Practice 1 Area of a Rectangle. Find the area of each figure. Example. one-inch squares. Name: Date: Chapter Practice 1 Area of a Rectangle Find the area of each figure. Example There are 3 rows of one-inch squares. Each row has 4 one-inch squares. 3 3 4 5 12 There are 12 one-inch squares

More information

Number Models for Area

Number Models for Area Number Models for Area Objectives To guide children as they develop the concept of area by measuring with identical squares; and to demonstrate how to calculate the area of rectangles using number models.

More information

DO NOW 1) Solve x = 15x

DO NOW 1) Solve x = 15x Algebra I 04/20/17 DO NOW 1) Solve x 2 + 56 = 15x 2) The length of a rectangle is three more than the width, w. Express the area as a polynomial in simplest form. Area = (length)(width) 1 1) Solve x 2

More information

The custodians are considering painting this room next summer. Estimate the dimensions and the area. Predict the area before you measure.

The custodians are considering painting this room next summer. Estimate the dimensions and the area. Predict the area before you measure. Classwork Exploratory Challenge Example 1: Classroom Wall Paint The custodians are considering painting our classroom next summer. In order to know how much paint they must buy, the custodians need to

More information

Triangles, Rectangles, Squares, and Circles

Triangles, Rectangles, Squares, and Circles LESSON Name 2 Teacher Notes: page 27 Triangles, Rectangles, Squares, and Circles Refer students to Circle on page 4 in the Student Reference Guide. Post Reference Chart Circle. Use the compasses from the

More information

Area or Perimeter? That is the question! How to find area and perimeter of irregular shapes... How to find area and perimeter of irregular shapes..

Area or Perimeter? That is the question! How to find area and perimeter of irregular shapes... How to find area and perimeter of irregular shapes.. Area or Perimeter? That is the question! How to find area and perimeter of irregular shapes.. How to find area and perimeter of irregular shapes... Area The number of square units needed to cover the region

More information

SIXTH GRADE MATHEMATICS CHAPTER 10 AREA AND PERIMETER TOPICS COVERED:

SIXTH GRADE MATHEMATICS CHAPTER 10 AREA AND PERIMETER TOPICS COVERED: SIXTH GRADE MATHEMATICS CHAPTER 10 AREA AND PERIMETER TOPICS COVERED: Perimeter of Polygons Area of Parallelograms Area of Triangles Area of a Trapezoid Area of Irregular Figures Activity 10-1: Sixth Grade

More information

ENGAGE. Daily Routines Common Core. Essential Question

ENGAGE. Daily Routines Common Core. Essential Question LESSON 10.1 Algebra Area of Parallelograms FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards Learning Objective 6.G.A.1 Find the area of right triangles, other triangles,

More information

Items to be measured for each team: Diagrams A, B, C, and D. 2 cereal or food boxes 1 circular lid from yogurt or other food containers

Items to be measured for each team: Diagrams A, B, C, and D. 2 cereal or food boxes 1 circular lid from yogurt or other food containers Student Activity #1 String, Tiles, and Cubes Name Directions: For this activity, your team will be measuring attributes of different objects and shapes. You will record your findings in an organized chart.

More information

Grade 2 Math Unit 6 Measurement and Data

Grade 2 Math Unit 6 Measurement and Data Grade 2 Math Unit 6 Measurement and Data 2.MD.1 UNIT OVERVIEW Grade 2 math instructions centers arond 4 Critical Focus Areas. This unit addresses work in Critical Focus Area #3, Using standard units of

More information

Ch 11 Pre-HS Area SOLs 50 Points Name:

Ch 11 Pre-HS Area SOLs 50 Points Name: 1. Each small square on the grid is 1 square unit. How many square units are needed to make the shaded figure shown on the grid? A) 5 B) 7 C) 10 D) 14 2. Each small square on the grid is 1 square unit.

More information

4 Allow time for students to use what they learned in Part 1 to estimate the perimeter of each planting bed.

4 Allow time for students to use what they learned in Part 1 to estimate the perimeter of each planting bed. Teacher Information During this lesson students will: Estimate length to the nearest centimeter/inch. Accurately measure the length of the sides of each shape to the nearest centimeter/inch. Determine

More information

Mathematics Success Level F

Mathematics Success Level F T598 [OBJECTIVE] The student will find the perimeter and area of rectangles and triangles. [MATERIALS] Student pages S204 S212 Transparencies T612, T614, T616, T618, T620, T622 Ruler Scissors Gridded index

More information

Describe Plane Shapes

Describe Plane Shapes LESSON 12.1 Describe Plane Shapes FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards Learning Objective 3.G.A.1 Understand that shapes in different categories (e.g., rhombuses,

More information

rectangle with the given dimensions would have a perimeter of 60 inches. and a large square. She shaded the small square and the outer region. 12 in.

rectangle with the given dimensions would have a perimeter of 60 inches. and a large square. She shaded the small square and the outer region. 12 in. Page 1 1. For numbers 1a 1e, select Yes or No to indicate if a rectangle with the given dimensions would have a perimeter of 60 inches. 1a. length: 15 inches width: 15 inches Yes No 1b. length: 20 inches

More information

Name: Date: ChAPter 13 Area and Perimeter Lesson 13.1 Area of a Rectangle Find the area of each figure. Extra Practice 4B

Name: Date: ChAPter 13 Area and Perimeter Lesson 13.1 Area of a Rectangle Find the area of each figure. Extra Practice 4B 13 Chapter Area and Perimeter Lesson 13.1 Area of a Rectangle Find the area of each figure. 1. 1 in. 1 in. X There are Each row has rows of one-inch squares. one-inch squares. 5 There are one-inch squares

More information

Pythagorean Theorem. 2.1 Soon You Will Determine the Right Triangle Connection The Pythagorean Theorem... 45

Pythagorean Theorem. 2.1 Soon You Will Determine the Right Triangle Connection The Pythagorean Theorem... 45 Pythagorean Theorem What is the distance from the Earth to the Moon? Don't let drawings or even photos fool you. A lot of them can be misleading, making the Moon appear closer than it really is, which

More information

Lesson 3 Pre-Visit Perimeter and Area

Lesson 3 Pre-Visit Perimeter and Area Lesson 3 Pre-Visit Perimeter and Area Objective: Students will be able to: Distinguish between area and perimeter. Calculate the perimeter of a polygon whose side lengths are given or can be determined.

More information

You may use a calculator. Answer the following questions. (5 pts; partial credit at teacher discretion)

You may use a calculator. Answer the following questions. (5 pts; partial credit at teacher discretion) Pre-Test Unit 7: Pythagorean Theorem KEY You may use a calculator. Answer the following questions. (5 pts; partial credit at teacher discretion) 1. What is the IF-THEN statement for the Pythagorean Theorem?

More information

Squares Multiplication Facts: Square Numbers

Squares Multiplication Facts: Square Numbers LESSON 61 page 328 Squares Multiplication Facts: Square Numbers Name Teacher Notes: Introduce Hint #21 Multiplication/ Division Fact Families. Review Multiplication Table on page 5 and Quadrilaterals on

More information

Math Series. Math: Use with Unit 9 Lesson 10 in Evervdav

Math Series. Math: Use with Unit 9 Lesson 10 in Evervdav Title: Exploring Perimeter and Area Materials and Resources Geoboards rubber bands color tiles Unifix cubes pencils rulers Cuisenaire rods Geodot paper squared paper crayons chart paper or drawing paper

More information

New Jersey Center for Teaching and Learning. Progressive Mathematics Initiative

New Jersey Center for Teaching and Learning. Progressive Mathematics Initiative Slide 1 / 126 New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students

More information

Lesson 12: Ratios of Fractions and Their Unit Rates

Lesson 12: Ratios of Fractions and Their Unit Rates Student Outcomes Students use ratio tables and ratio reasoning to compute unit rates associated with ratios of fractions in the context of measured quantities, e.g., recipes, lengths, areas, and speed.

More information

Enhanced Instructional Transition Guide

Enhanced Instructional Transition Guide Enhanced Instructional Transition Guide / Unit 07: Suggested Duration: 9 days Unit 07: Measurement (15 days) Possible Lesson 01 (9 days) Possible Lesson 02 (3 days) Possible Lesson 03 (3 days) Possible

More information

Don t Fence Me In Understanding Perimeter and Area Assessment Items

Don t Fence Me In Understanding Perimeter and Area Assessment Items Don t Fence Me In Understanding Perimeter and Area Assessment Items Circle the letter for the correct answer. 1. Adrian had a rectangular garden with an area of 60 square feet and a perimeter of 32 feet.

More information

Grade 3, Module 4: Multiplication and Area

Grade 3, Module 4: Multiplication and Area Grade 3, Module 4: Multiplication and Area Mission: Find the Area Topic A: Foundations for Understanding Area In Topic A, students begin to conceptualize area as the amount of two- dimensional surface

More information

2 A rectangle 3 cm long and. Find the perimeter and area of each figure. Remember to include the correct units in your answers.

2 A rectangle 3 cm long and. Find the perimeter and area of each figure. Remember to include the correct units in your answers. 5- Homework Draw each rectangle on the dot paper. Find the perimeter and area. A rectangle 5 cm long and cm wide A rectangle cm long and cm wide Perimeter = Area = Perimeter = Area = Find the perimeter

More information

Study Guide and Intervention

Study Guide and Intervention - Study Guide and Intervention Write Mathematical Expressions In the algebraic expression, w, the letters and w are called variables. In algebra, a variable is used to represent unspecified numbers or

More information

Rounding Mixed Numbers

Rounding Mixed Numbers LESSON 0 Rounding Mixed Numbers Power Up facts mental math Power Up J a. Estimation: Andrea estimated that each story of the tall building was feet tall. Andrea counted 30 stories in the building. What

More information

mentoringminds.com MATH LEVEL 3 Student Edition Sample Page Unit 24 Introduction 1. What is the perimeter of the figure outlined on this grid?

mentoringminds.com MATH LEVEL 3 Student Edition Sample Page Unit 24 Introduction 1. What is the perimeter of the figure outlined on this grid? Student Edition Sample Page Name 1. What is the perimeter of the figure outlined on this grid? Introduction 4. This figure is a quadrilateral with sides measured in centimeters. Write an equation that

More information

Lesson 1 6. Algebra: Variables and Expression. Students will be able to evaluate algebraic expressions.

Lesson 1 6. Algebra: Variables and Expression. Students will be able to evaluate algebraic expressions. Lesson 1 6 Algebra: Variables and Expression Students will be able to evaluate algebraic expressions. P1 Represent and analyze patterns, rules and functions with words, tables, graphs and simple variable

More information

Vocabulary Cards and Word Walls

Vocabulary Cards and Word Walls Vocabulary Cards and Word Walls Revised: June 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education,

More information

Perimeters of Composite Figures

Perimeters of Composite Figures 8. Perimeters of Composite Figures How can you find the perimeter of a composite figure? ACTIVITY: Finding a Pattern Work with a partner. Describe the pattern of the perimeters. Use your pattern to find

More information

Converting Area Measurements. We already know how to convert between units of linear measurement.

Converting Area Measurements. We already know how to convert between units of linear measurement. Converting Area Measurements We already know how to convert between units of linear measurement. Ex. To convert between units of area, we have to remember that area is equal to, or length X width. This

More information

Mrs. Polk s 4 th Grade Area and Perimeter Extension Unit

Mrs. Polk s 4 th Grade Area and Perimeter Extension Unit Mrs. Polk s 4 th Grade Area and Perimeter Extension Unit Common Core State Standards that are being met: Solve problems involving measurement and conversion of measurements. CCSS.MATH.CONTENT.4.MD.A.1

More information

Multiplying Three Factors and Missing Factors

Multiplying Three Factors and Missing Factors LESSON 18 Multiplying Three Factors and Missing Factors Power Up facts count aloud Power Up C Count up and down by 5s between 1 and 51. Count up and down by 200s between 0 and 2000. mental math a. Number

More information

7.4. Distributive Property. Activity Materials square tiles Make an array with tiles to show 6 rows of 7. Unlock the Problem

7.4. Distributive Property. Activity Materials square tiles Make an array with tiles to show 6 rows of 7. Unlock the Problem ? Name 7.4 ALGEBRA Essential Question Distributive Property How can you use the Distributive Property to find products? Number and Operations 3.4.E, 3.4.K Algebraic Reasoning 3.5.B Also 3.4.D, 3.5.D MATHEMATICAL

More information

Lesson 1 Area of Parallelograms

Lesson 1 Area of Parallelograms NAME DATE PERIOD Lesson 1 Area of Parallelograms Words Formula The area A of a parallelogram is the product of any b and its h. Model Step 1: Write the Step 2: Replace letters with information from picture

More information

Multiplication and Area

Multiplication and Area Grade 3 Module 4 Multiplication and Area OVERVIEW In this 20-day module students explore area as an attribute of two-dimensional figures and relate it to their prior understandings of multiplication. In

More information

First Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet.

First Name: Last Name: Select the one best answer for each question. DO NOT use a calculator in completing this packet. 5 Entering 5 th Grade Summer Math Packet First Name: Last Name: 5 th Grade Teacher: I have checked the work completed: Parent Signature Select the one best answer for each question. DO NOT use a calculator

More information

Honors Geometry Summer Math Packet

Honors Geometry Summer Math Packet Honors Geometry Summer Math Packet Dear students, The problems in this packet will give you a chance to practice geometry-related skills from Grades 6 and 7. Do your best to complete each problem so that

More information

Math Grade 5. Read each question and choose the best answer. Be sure to mark all of your answers. FORMATIVE MINI ASSESSMENT

Math Grade 5. Read each question and choose the best answer. Be sure to mark all of your answers. FORMATIVE MINI ASSESSMENT FORMATIVE MINI ASSESSMENT Third Grading Period 2009-10 February 1-5 STUDENT NAME DATE Math Grade 5 Read each question and choose the best answer. Be sure to mark all of your answers. 1 Pat uses square

More information

Area of Composite Figures. ESSENTIAL QUESTION do you find the area of composite figures? 7.9.C

Area of Composite Figures. ESSENTIAL QUESTION do you find the area of composite figures? 7.9.C ? LESSON 9.4 Area of Composite Figures ESSENTIAL QUESTION How do you find the area of composite figures? Equations, expressions, and relationships Determine the area of composite figures containing combinations

More information

Classify Quadrilaterals

Classify Quadrilaterals LESSON 10.4 Classify Quadrilaterals FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards Learning Objective 4.G.A.2 Classify two-dimensional figures based on the presence or

More information

Similar Figures 2.5. ACTIVITY: Reducing Photographs. How can you use proportions to help make decisions in art, design, and magazine layouts?

Similar Figures 2.5. ACTIVITY: Reducing Photographs. How can you use proportions to help make decisions in art, design, and magazine layouts? .5 Similar Figures How can you use proportions to help make decisions in art, design, and magazine layouts? In a computer art program, when you click and drag on a side of a photograph, you distort it.

More information

NSCAS - Math Table of Specifications

NSCAS - Math Table of Specifications NSCAS - Math Table of Specifications MA 3. MA 3.. NUMBER: Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics

More information

Grade 3 Common Core Summer Worksheet. Multiple Choice 1. Tom has 20 apples. He puts 4 apples in each bag. How many bags does he use?

Grade 3 Common Core Summer Worksheet. Multiple Choice 1. Tom has 20 apples. He puts 4 apples in each bag. How many bags does he use? Multiple Choice 1. Tom has 20 apples. He puts 4 apples in each bag. How many bags does he use? a. 4 b. 5 c. 15 d. 24 2. Which type of triangle has no sides of equal length? a. scalene triangle b. equilateral

More information

4-7 Point-Slope Form. Warm Up Lesson Presentation Lesson Quiz

4-7 Point-Slope Form. Warm Up Lesson Presentation Lesson Quiz Warm Up Lesson Presentation Lesson Quiz Holt Algebra McDougal 1 Algebra 1 Warm Up Find the slope of the line containing each pair of points. 1. (0, 2) and (3, 4) 2. ( 2, 8) and (4, 2) 1 3. (3, 3) and (12,

More information

4th Grade. Geometry. Slide 2 / 126. Slide 1 / 126. Slide 4 / 126. Slide 3 / 126. Slide 5 / 126. Slide 6 / 126. Geometry Unit Topics.

4th Grade. Geometry. Slide 2 / 126. Slide 1 / 126. Slide 4 / 126. Slide 3 / 126. Slide 5 / 126. Slide 6 / 126. Geometry Unit Topics. Slide 1 / 126 Slide 2 / 126 New Jersey enter for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial

More information

Lesson 1 Homework 3 4

Lesson 1 Homework 3 4 Lesson 1 Homework 3 4 1. Magnus covers the same shape with triangles, rhombuses, and trapezoids. a. How many triangles will it take to cover the shape? triangles b. How many rhombuses will it take to cover

More information

1. An NFL playing field (not counting the end zones) is 300 feet long and 160 feet wide. What is the perimeter? What is the area?

1. An NFL playing field (not counting the end zones) is 300 feet long and 160 feet wide. What is the perimeter? What is the area? Geometry: Perimeter and Area Practice 24 Many sports require a rectangular field of play which is a specific length and width. Use the information given in the problems below to compute the perimeter and

More information

Grade 3 Measurement and Data 3.MD.7a-d

Grade 3 Measurement and Data 3.MD.7a-d THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 3 Measurement and Data 3.MD.7a-d Student Pages 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES Grade 3 - Lesson 1 Assessment Task Imagine that

More information

Perimeter and Area of Rectangles and Parallelograms

Perimeter and Area of Rectangles and Parallelograms Practice A Perimeter and Area of Rectangles and Parallelograms Find the perimeter of each figure. 1. 2. 3. Graph and find the area of each figure with the given vertices. 4. ( 3, 1), (2, 1), (2, 3), (

More information

MATHEMATICS UTAH CORE GUIDES GRADE 2

MATHEMATICS UTAH CORE GUIDES GRADE 2 MATHEMATICS UTAH CORE GUIDES GRADE 2 UTAH STATE BOARD OF EDUCATION 250 EAST 500 SOUTH P.O. BOX 144200 SALT LAKE CITY, UTAH 84114-4200 SYDNEE DICKSON, Ed.D., STATE SUPERINTENDENT OF PUBLIC INSTRUCTION Operations

More information

Lesson Date Computing Actual Areas from a Scale Drawing

Lesson Date Computing Actual Areas from a Scale Drawing 7.1.19 Lesson Date Computing Actual Areas from a Scale Drawing Student Objectives I can identify the scale factor. Given a scale drawing, I can compute the area in the actual picture. I know my perfect

More information

Constant Perimeter and Changing Area

Constant Perimeter and Changing Area Objective Common Core State Standards Constant Perimeter and Changing Area The concepts of perimeter and area are often misunderstood (and sometimes confused) by students who tend to lack real-world experience,

More information

The Pythagorean Theorem 8.6.C

The Pythagorean Theorem 8.6.C ? LESSON 8.1 The Pythagorean Theorem ESSENTIAL QUESTION Expressions, equations, and relationships 8.6.C Use models and diagrams to explain the Pythagorean Theorem. 8.7.C Use the Pythagorean Theorem...

More information

Perimeter, Circumference, Area and Ratio Long-Term Memory Review Grade 6 Review 1

Perimeter, Circumference, Area and Ratio Long-Term Memory Review Grade 6 Review 1 Review 1 1. Which procedure is used to find the perimeter of any polygon? A) Add all the lengths B) Multiply length times width (l w) C) Add only one length and one width D) Multiply all of the lengths.

More information

Name Date Period STUDY GUIDE Summative Assessment #5 6 th Grade Math Covering and Surrounding

Name Date Period STUDY GUIDE Summative Assessment #5 6 th Grade Math Covering and Surrounding Name Date Period STUDY GUIDE Summative Assessment #5 6 th Grade Math Covering and Surrounding 1) Mr. and Mrs. Hunter tiled their rectangular porch using 1ft. by 1ft. square tiles. The rectangular porch

More information

GRADE 3 MODULE 4 Multiplication and Area. Homework. Video tutorials: Info for parents:

GRADE 3 MODULE 4 Multiplication and Area. Homework. Video tutorials:  Info for parents: GRADE 3 MODULE 4 Multiplication and Area Homework Video tutorials: http://bit.ly/eurekapusd Info for parents: http://bit.ly/pusdmath 3 GRADE Mathematics Curriculum GRADE 3 MODULE 4 Table of Contents GRADE

More information

Patterns, Functions & Algebra

Patterns, Functions & Algebra Patterns, Functions & Algebra A B A B Y=x +30-(x-2) X=2(y +5) Vocabulary List Patterns, Relations and Functions Equation- an equation is a mathematical statement, in symbols, that two things are the same

More information

Assignment Assignment for Lesson 3.1

Assignment Assignment for Lesson 3.1 Assignment Assignment for Lesson.1 Name Date Weaving a Rug Area and Perimeter of Rectangles and Squares 1. An artist is weaving a rectangular rug to match the pattern shown in the figure. Use the figure

More information

Geometry. Warm Ups. Chapter 11

Geometry. Warm Ups. Chapter 11 Geometry Warm Ups Chapter 11 Name Period Teacher 1 1.) Find h. Show all work. (Hint: Remember special right triangles.) a.) b.) c.) 2.) Triangle RST is a right triangle. Find the measure of angle R. Show

More information

5-8 Scale Drawings and Models

5-8 Scale Drawings and Models 1. The model of a car is shown below. The actual car is 1 in. = 2 ft feet long. What is the scale of the model car? 2. On the map, the scale is 1 inch = 20 miles. What is the actual distance between Kansas

More information

Measure with Inch Models

Measure with Inch Models Lesson 8.1 Measure with Inch Models Place tiles on the squares. How many tiles? 3 tiles Each tile is about 1 inch long. How long is the ribbon? about 3 Use color tiles. Measure the length of the object

More information

2 nd Grade Standards Guide

2 nd Grade Standards Guide 2 nd Grade Standards Guide Table of Contents Content Page Number Overview to the Math Standards Guide 2-3 Geometry 4 Measurement & Data 4-5 Number & Operations in Base Ten 5-6 Operations & Algebraic Thinking

More information

MATH-5 Pinchbeck_Ranson_MathReview4_SOL Exam not valid for Paper Pencil Test Sessions

MATH-5 Pinchbeck_Ranson_MathReview4_SOL Exam not valid for Paper Pencil Test Sessions MATH-5 Pinchbeck_Ranson_MathReview4_SOL Exam not valid for Paper Pencil Test Sessions [Exam ID:GHGWLP 1 What is the area of this triangle? A 42 cm 2 B 104.5 cm 2 C 114 cm 2 D 66 cm 2 2 What is the perimeter

More information

WVDE Math 7 G Solve Real-life and Mathematical Problems involving Angle Measure, Area, Surface Area, and Volume Test

WVDE Math 7 G Solve Real-life and Mathematical Problems involving Angle Measure, Area, Surface Area, and Volume Test WVDE Math 7 G Solve Real-life and Mathematical Problems involving Angle Measure, Area, Surface Area, and Volume Test 1 General Offline Instructions: Read each question carefully and decide which answer

More information

What You ll Learn. Why It s Important. You see geometric figures all around you.

What You ll Learn. Why It s Important. You see geometric figures all around you. You see geometric figures all around you. Look at these pictures. Identify a figure. What would you need to know to find the area of that figure? What would you need to know to find the perimeter of the

More information

ACTIVITY: Comparing Measurements

ACTIVITY: Comparing Measurements 7.5 Scale Drawings proportionally? How can you enlarge or reduce a drawing 1 ACTIVITY: Comparing Measurements Work with a partner. The diagram shows a food court at a shopping mall. Each centimeter in

More information

6.5. PROBLEM SOLVING Use Multiplication. Plan. Unlock the Problem. Math Talk. Essential Question. Name. Module 6 269

6.5. PROBLEM SOLVING Use Multiplication. Plan. Unlock the Problem. Math Talk. Essential Question. Name. Module 6 269 ? Name 6.5 Essential Question PROBLEM SOLVING Use Multiplication Unlock the Problem Erica makes 6 submarine sandwiches and cuts each sandwich into thirds. How many 1_ -size sandwich pieces does she have?

More information

Student Answer Document STAAR Practice Test, Form A

Student Answer Document STAAR Practice Test, Form A Student Answer Document STAAR Practice Test, Form A Sample A 3 3 Sample B Use grid BELOW. 4 37 Item 3 Use grid BELOW. 5 3 Item 39 4 Use grid BELOW. 40 5 7 4 3 4 4 7 9 43 5 30 44 9 3 45 7 0 3 4 Item 33

More information

Unit 6, Activity 1, Measuring Scavenger Hunt

Unit 6, Activity 1, Measuring Scavenger Hunt Unit 6, Activity 1, Measuring Scavenger Hunt Name: Measurement Descriptions Object 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Blackline Masters, Mathematics, Grade 7 Page 6-1 Unit 6, Activity 4, Break it Down Name

More information

MATH MILESTONES # A4 MULTIPLICATION

MATH MILESTONES # A4 MULTIPLICATION MATH MILESTONES # A4 MULTIPLICATION The word, milestone, means a point at which a significant change occurs. A Math Milestone refers to a significant point in the understanding of mathematics. To reach

More information

Math 11 Essentials Intro to Geometry

Math 11 Essentials Intro to Geometry Math 11 Essentials Intro to Geometry 1. Exponents are numbers located to the upper right of a number that tell you how many factors of that number you have. For example, 5 3 means there are two factors

More information

Grade 2 Arkansas Mathematics Standards. Represent and solve problems involving addition and subtraction

Grade 2 Arkansas Mathematics Standards. Represent and solve problems involving addition and subtraction Grade 2 Arkansas Mathematics Standards Operations and Algebraic Thinking Represent and solve problems involving addition and subtraction AR.Math.Content.2.OA.A.1 Use addition and subtraction within 100

More information

Response to Intervention. Grade 2

Response to Intervention. Grade 2 Houghton Mifflin Harcourt Response to Intervention FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS Grade Math Expressions Lessons Correlated to Tier Lessons Tier Lessons correlated to Tier Skills and

More information

The Pythagorean Theorem is used in many careers on a regular basis. Construction

The Pythagorean Theorem is used in many careers on a regular basis. Construction Applying the Pythagorean Theorem Lesson 2.5 The Pythagorean Theorem is used in many careers on a regular basis. Construction workers and cabinet makers use the Pythagorean Theorem to determine lengths

More information

How can you adjust the quotient if your estimate is too high or too low? Divide Estimate = 7. Try 7 ones )

How can you adjust the quotient if your estimate is too high or too low? Divide Estimate = 7. Try 7 ones ) ? Name 2.7 Essential Question Adjust Quotients How can you adjust the quotient if your estimate is too high or too low? Number and Operations 5.3.C Also 5.3.A MATHEMATICAL PROCESSES 5.1.D Connect When

More information

10.5 Model with Arrays

10.5 Model with Arrays ? Name 10.5 Model with Arrays Essential Question How can you use arrays to solve division problems? Number and Operations 3.4.H, 3.4.K Algebraic Reasoning 3.5.B MATHEMATICAL PROCESSES 3.1.C, 3.1.E Investigate

More information

Statistics and Measurement

Statistics and Measurement Statistics and Measurement Jen Kershaw Jen Kershaw, M.ed Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other

More information

Solving Place-Value Riddles

Solving Place-Value Riddles Solving Place-Value Riddles Solve the number riddles. 1 I have 5 digits. My 5 is worth 50,000. My 8 is worth 8,000. One of my 6s is worth 60. The other is worth 10 times as much. My other digit is a 0.

More information

Wheels Diameter / Conversion of Units

Wheels Diameter / Conversion of Units Note to the teacher On this page, students will learn about the relationships between wheel diameter, circumference, revolutions and distance. They will also convert measurement units and use fractions

More information

Changing Area, Changing Perimeter

Changing Area, Changing Perimeter 2 Changing Area, Changing Perimeter Whether you make a floor plan for a bumper-car ride or a house, there are many options. You should consider the cost of materials and the use of a space to find the

More information

Measurement and Data Core Guide Grade 4

Measurement and Data Core Guide Grade 4 Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit (Standards 4.MD.1 2) Standard 4.MD.1 Know relative sizes of measurement units within each system

More information

First Practice Test 1 Levels 5-7 Calculator not allowed

First Practice Test 1 Levels 5-7 Calculator not allowed Mathematics First Practice Test 1 Levels 5-7 Calculator not allowed First name Last name School Remember The test is 1 hour long. You must not use a calculator for any question in this test. You will need:

More information

The Grade 6 Common Core State Standards for Geometry specify that students should

The Grade 6 Common Core State Standards for Geometry specify that students should The focus for students in geometry at this level is reasoning about area, surface area, and volume. Students also learn to work with visual tools for representing shapes, such as graphs in the coordinate

More information

Lesson 20: Real-World Area Problems

Lesson 20: Real-World Area Problems Lesson 20 Lesson 20: Real-World Area Problems Classwork Opening Exercise Find the area of each shape based on the provided measurements. Explain how you found each area. Lesson 20: Real-World Area Problems

More information

Mathematics Background

Mathematics Background For a more robust teacher experience, please visit Teacher Place at mathdashboard.com/cmp3 The Measurement Process While this Unit does not focus on the global aspects of what it means to measure, it does

More information

Covering and Surrounding Assessment. 1. (1 point) Find the area and perimeter of this rectangle. Explain how you found your answers.

Covering and Surrounding Assessment. 1. (1 point) Find the area and perimeter of this rectangle. Explain how you found your answers. Name: Date: Score: /20 Covering and Surrounding Assessment Short Answer: Answer each question, making sure to show your work or provide an explanation or sketch to support your answer in the box. Make

More information

Reminder - Practicing multiplication (up to 12) and long division facts are VERY important!

Reminder - Practicing multiplication (up to 12) and long division facts are VERY important! 1 Summer Math Reinforcement Packet Students Entering into 5th Grade Our fourth graders had a busy year learning new math skills. Mastery of all these skills is extremely important in order to develop a

More information

Number Line: Comparing and Ordering Integers (page 6)

Number Line: Comparing and Ordering Integers (page 6) LESSON Name 1 Number Line: Comparing and Ordering Integers (page 6) A number line shows numbers in order from least to greatest. The number line has zero at the center. Numbers to the right of zero are

More information

Chapter 2. Statistics and Measurement

Chapter 2. Statistics and Measurement www.ck12.org Chapter 2. Statistics and Measurement 2.1 Measuring Length Introduction The Tomato Plants Tania and her brother Alex have decided to plant a vegetable garden. They are interested in eating

More information

11.2 Areas of Trapezoids,

11.2 Areas of Trapezoids, 11. Areas of Trapezoids, Rhombuses, and Kites Goal p Find areas of other types of quadrilaterals. Your Notes VOCABULARY Height of a trapezoid THEOREM 11.4: AREA OF A TRAPEZOID b 1 The area of a trapezoid

More information