Lesson Plan Garden Grade 6 Area and Perimeter


 Ronald Howard
 2 years ago
 Views:
Transcription
1 CCSSM: Grade 6 Domain: Expressions and Equations Cluster: Reason about and solve onevariable equations and inequalities. Standard: 6.EE.7 Solve realworld and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all nonnegative rational numbers. CCSSM: Grade 4 DOMAIN: Measurement and Data Cluster: Solve problems involving measurement and conversion of measurements for a larger unit to a smaller unit. Standard: 4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. Clarification: The clarification is an explanation of the indicator and objective and how these math concepts appear in the puzzle. Materials and/or Set Up: Welcome to Farmer Joe s Farm; Farmer Joe s Rabbit Pen; Finding Area and Perimeter; Finding Area and Perimeter Answers; Interactive Resource 1; Work Order for Interactive Resource 1; Interactive Resource 2; Work Order for Interactive Resource 2; Interactive Resource 2 Answers; Square blocks; Interactive Resource 3 Levels 1, 2, and 3; Work Orders for Interactive Resource 3 Levels 1, 2, and 3 Interactive Resource 3 Levels 1, 2, 3 Answers Relevant Vocabulary: area, dimension, formula, length, perimeter, width Note to Teacher Students should have attempted levels 1, 2 and 3 of the Garden puzzle before this lesson is implemented. In the implementation of this lesson, it is recommended that the Interactive Resources be projected to encourage a rich and active discussion of math strategies and concepts. Activities: 1. After students have played levels 1, 2, and 3 of the Garden puzzle, ask them to share their experiences and insights into the relationships between area and perimeter. 2. Pair students and have them work with a partner to complete #1 on Welcome to Farmer Joe s Farm. Ask students to share their findings. Record the results. (1 by 8; 2 by 7; 3 by 6; 4 by 5) 3. Have students recognize that there are 4 possible rectangles that can be formed using 18 pieces of fence. Ask students: What is the distance around each of the possible Copyright 2012 Maryland Public Television Page 1 of 24
2 rectangles? (18 meters) What is the term used to name the distance around a rectangle? (perimeter) 4. Using Farmer Joe s Rabbit Pen, work as a class to complete #2 (14 rabbits). Discuss with students how they determined their answer. (The number of square meters would be 14. Multiply length by width or draw a picture and count the number of squares). 5. Explain to students that the area of a rectangle is the number of square units that cover the rectangle. Ask students: What would the area of a 3 meter by 6 meter rectangle be? (18 m 2 ) What about a 4 meter by 5 meter pen? (20 m 2 ) Of the four rectangles with a perimeter of 18, which rectangle has the largest area? (The 4 meter by 5 meter rectangle) 6. Have students work with their partner to complete #3 on Welcome to Farmer Joe s Farm. (14 meters of fencing; 3 meters by 4 meters) 7. Ask the students to define perimeter to a partner. Ask students: How is the perimeter of a rectangle determined? Discuss the various forms of the perimeter formula as a class. [P = l + w + l + w or P = 2l + 2w or P = 2(l + w)]. Ask the students: How could you find the area of a rectangle, given the length and width of the rectangle? (The area is the number of squares that cover a region. Area can be found by counting the squares in the rectangle or by multiplying the length and the width.) Discuss the area formula, A = lw. 8. Using Finding Area and Perimeter, complete Section A as a class. Have students complete Section B with a partner and Section C independently. 9. Display Interactive Resource 1 and distribute Work Order for Interactive Resource 1. Ask the students to locate the work order for Blotchweed. (Number of Blotchweed plants is 16; fencing units is 20.) Facilitate a class discussion to determine the dimensions of the rectangular plot for the Blotchweed (2 units by 8 units.) Discuss ways in which the dimensions could be determined. (Square tiles could be used to represent the garden plots. A list could be generated of all possible dimensions for the perimeter and then checked to determine which dimensions also work for the area. A list could be generated of all possible dimensions for the area and then checked to determine which dimensions also work for the perimeter. The perimeter could be divided by two to determine the sum of the length and width. Factors of this sum could be found that yield the area.) 10. Ask the students to find the dimensions of the Prickletoe plot. (Work order says 28 plants and 22 fence lengths; dimension of the plot is 7 units by 4 units). Discuss the various places that this plot could go without encompassing any garden trolls. (This plot could be placed vertically in the middle of the screen at the top of the garden to the right of the group of 8 garden trolls, or horizontally in the middle left of the screen under the group of 8 garden trolls.)ask students: What would happen if a garden troll is enclosed in the garden? (On level 1, each garden troll takes the place of one plant and when enclosed will eat part of the crops) 11. Facilitate a discussion to guide students to complete the remaining work orders. Name of Plant Number of Plants Number of Fence Lengths Dimensions of Garden Plot Blotchweed x 8 Prickletoe x 7 Slugroot x 6 Fungwort x 2 Copyright 2012 Maryland Public Television Page 2 of 24
3 Purple Night x Display Interactive Resource 2A and distribute Work Order for 2B. Have students work with a partner to follow the work order to determine the dimensions and placement of each plot. Display Interactive Resource 2B Answers and discuss. Ask students how this work plan differs from the last one. (This puzzle is a level 2 puzzle which means the placement of each plot is more challenging than in level 1. The garden trolls still eat the plants if they are enclosed in a plot.) Name of Plant Number of Plants Number of Fence Lengths Dimensions of Garden Plot Blotchweed x 8 Prickletoe x 7 Slugroot x 4 Fungwort x 4 Purple Night x 7 Differentiation Suggestions: 1. For students who need additional assistance with the concepts: Give students a set of 12 square blocks. Instruct them to look at one block. Ask students: What is the perimeter (4) and what is the area (1)? Pose a series of questions, changing the dimensions and size of the figure by adding to the number of blocks you use. Ask students what perimeter and area of each figure is. Discuss patterns. Ask students: What is the shape that you can make that has the largest area for 12 blocks? (Dimensions of 3 x 4). What is the perimeter of this shape? (14) Ask students to each make a differentshaped figure that uses all 12 blocks. Ask them to determine the perimeter and area of each figure. As an alternative, use graph paper, with shading figures or geo boards. 2. Display Interactive Resource 3A (Level 1, Level 2 or Level 3) and distribute Work Order for 3B (Level 1, Level 2, or Level 3.) Have the students work in pairs or individually to find the dimensions of each of the five plots and determine the appropriate placement for each plot. Use level 1 for students who may need more assistance or time; level 2 for students who are more comfortable with the material, and level 3 for students who are ready for a challenge. Encourage the students to show their work. Have students share their answers and display Interactive Resource 3B Answers for Levels 1, 2, and/or 3 so that students can see garden configurations. (Answers: Level 1, Dimensions of Garden Plot: Blotchweed, 6 x7; Prickletoe, 2 x 3; Slugroot, 2 x 4; Fungwort, 1 x 12; Purple Night, 2 x 2 Level 2, Dimensions of Garden Plot: Blotchweed, 3 x 4; Prickletoe, 2 x 10; Slugroot, 2 x 3; Fungwort 4 x 4; Purple Night, 5 x 6 Level 3, Dimensions of Garden Plot: Blotchweed, 3 x 8 with 2 gnomes enclosed; Prickletoe, 2 x 7; Slugroot, 4 x 4 with 3 gnomes enclosed; Fungwort, 2 x 3; Purple Night, 1 x 4 with 2 gnomes enclosed) Copyright 2012 Maryland Public Television Page 3 of 24
4 Assessment Follow Up: Distribute Assessment resource sheet. Answers: units Have the students return to the puzzle to apply what they learned in the lesson. Ask: Did the lesson help you to clarify the math in the puzzle? How? What other strategies could you have used to help you solve the puzzle? Additionally, check teacher stats in the game to determine students level of understanding. Provide the students with this scenario: The perimeter of a vegetable garden is 24 units and the length is twice the width. What are the dimensions of this garden? What is the area? Use what you know about area to explain how you determined the dimensions and the area. Use words, numbers, and/or symbols in your explanation. (Since the length is twice the width, let the width be represented as w and the length 2 x w, or 2w. In order to find the perimeter, add all of the sides which would be: w + 2w + w + 2w = perimeter 6w = 24 6w w = 4 and l = 8 or Real World Connection: Given that the perimeter was 24 units, make a list of all possible dimensions of a rectangle with this perimeter. (1 x 11; 2 x 10; 3 x 9; 4 x 8; 5 x 7; 6 x 6) After making the list, examine the relationship between the length and the width. (Only the 4 x 8 rectangle has a length that is twice its width.) Provide students with this scenario: Ms. Buckley buys a rug for her rectangular classroom. The rug covers the entire room perfectly! The area of the rug is 140 square feet. If the width of the classroom is 10 feet, what is the perimeter of the classroom? (48 feet) Copyright 2012 Maryland Public Television Page 4 of 24
5 Welcome to Farmer Joe s Farm Lesson Plan 1. Farmer Joe is planning to build a rabbit pen. He has 18 sections of fence, each 1 meter long. What are the various sizes of rectangular pens that Farmer Joe can make using all 18 units of fence? Show your work here: 2. One rabbit needs 1 square meter of space to live comfortably. For example, if Farmer Joe decided to build a pen that is 1 meter wide by 8 meters long, the pen would enclose eight square meters and eight rabbits could live in it. How many rabbits would be able to fit into a pen that is 2 meters by 7 meters? Use numbers, symbols and/or words to explain how you determined the answer. Show your work here: 3. Farmer Joe s brother, Farmer Frank, would like to make a rectangular pen for his 12 rabbits. He would like to buy the fewest meters of fencing and build a pen that can comfortably house his rabbits. Remember, each rabbit needs 1 square meter of space. How many meters of fencing should he buy? What are the dimensions of the pen he should make? Show your work here: Copyright 2012 Maryland Public Television Page 5 of 24
6 Farmer Joe s Rabbit Pen 1 meter 8 meters Each rabbit needs one square meter of space inside the pen! Copyright 2012 Maryland Public Television Page 6 of 24
7 Finding Area and Perimeter Lesson Plan Directions: Find Area and Perimeter, as indicated, in each figure below. Section A 1. Find the Perimeter of the rectangle below. Area = 36 in 2 Length = 9 inches Width =? Perimeter = 2. Find the Area of the square below. Side = 4 cm Area = Section B 3. Find the Perimeter of the square below, given that the Area = 25 m 2. Area = 25 m 2 Perimeter = 4. Find the Area of the rectangle below, given that the perimeter is 30 cm. width = 4 cm Area = length =? Section C 5. Find the Perimeter of the rectangle below. Area = 15 in 2 Perimeter = Length = 5 in 6. Find the Area of the square below, given that the perimeter is 40 feet. Area = Copyright 2012 Maryland Public Television Page 7 of 24
8 Finding Area and Perimeter Answers Lesson Plan Directions: Find Area and Perimeter, as indicated, in each figure below. Section A 1. Find the Perimeter of the rectangle below. Area = 36 in 2 Length = 9 inches Width =? Perimeter = 26 inches 7. Find the Area of the square below. Side = 4 cm Area = 16 cm 2 Section B 8. Find the Perimeter of the square below, given that the Area = 25 m 2. Area = 25 m 2 Perimeter = 20 m 9. Find the Area of the rectangle below, given that the perimeter is 30 cm. width = 4 cm Area = 44 cm 2 length =? Section C 10. Find the Perimeter of the rectangle below. Area = 15 in 2 Perimeter = 16 inches Length = 5 in 11. Find the Area of the square below, given that the perimeter is 40 feet. Area = 100 ft. 2 Copyright 2012 Maryland Public Television Page 8 of 24
9 Copyright 2012 Maryland Public Television Page 9 of 24
10 Work Order for Interactive Resource 1 Name of Plant Blotchweed Prickletoe Slugroot Fungwort Purple Night Number of Plants Number of Fence Lengths Dimensions of Garden Plot Copyright 2012 Maryland Public Television Page 10 of 24
11 Copyright 2012 Maryland Public Television Page 11 of 24
12 Work Order for Interactive Resource 2 Lesson Plan Name of Plant Number of Plants Number of Fence Lengths Blotchweed Dimensions of Garden Plot Prickletoe Slugroot Fungwort 8 12 Purple Night Copyright 2012 Maryland Public Television Page 12 of 24
13 Interactive Resource 2  Answers Copyright 2012 Maryland Public Television Page 13 of 24
14 Copyright 2012 Maryland Public Television Page 14 of 24
15 Work Order for Interactive Resource 3 Level 1 Name of Plant Number of Plants Number of Fence Lengths Blotchweed Dimensions of Garden Plot Prickletoe 6 10 Slugroot 8 12 Fungwort Purple Night 4 8 Copyright 2012 Maryland Public Television Page 15 of 24
16 Interactive Resource 3 Level 1 Answers (Other possible configurations exist, but the dimensions of each plot should be the same as below) Copyright 2012 Maryland Public Television Page 16 of 24
17 Copyright 2012 Maryland Public Television Page 17 of 24
18 Work Order for Interactive Resource 3 Level 2 Name of Plant Number of Plants Number of Fence Lengths Blotchweed Dimensions of Garden Plot Prickletoe Slugroot 6 10 Fungwort Purple Night Copyright 2012 Maryland Public Television Page 18 of 24
19 Interactive Resource 3 Level 2Possible Answers (Different configurations can exist but the dimensions should remain the same) Copyright 2012 Maryland Public Television Page 19 of 24
20 Interactive Resource 3 Level 2Possible Answers (Different configurations can exist but the dimensions should remain the same) Copyright 2012 Maryland Public Television Page 20 of 24
21 Copyright 2012 Maryland Public Television Page 21 of 24
22 Work Order for Interactive Resource 3 Level 3 Name of Plant Number of Plants Number of Fence Lengths Blotchweed Dimensions of Garden Plot Prickletoe Slugroot Fungwort 6 10 Purple Night 2 10 Copyright 2012 Maryland Public Television Page 22 of 24
23 Interactive Resource 3 Level 3  Possible Answers Copyright 2012 Maryland Public Television Page 23 of 24
24 Assessment 1. The area of a rectangle is 30 square units. What is the largest possible perimeter of the rectangle? a. 62 units b. 34 units c. 26 units d. 22 units 2. The front door of a house is broken and needs to be replaced. The perimeter of the door is 26 feet. If the width of the door is 3 feet, what is the door s area in square feet? Copyright 2012 Maryland Public Television Page 24 of 24
Lesson Plan Shipping Grade 6 Solving Equations
CCSSM: Grade 6 DOMAIN: Expressions and Equations Cluster: Apply and extend previous understandings of arithmetic to algebraic expressions. Standard: 6.EE.2 Write, read, and evaluate expressions in which
More informationLesson Plan Mine Shaft Grade 8 Slope
CCSSM: Grade 8 DOMAIN: Expressions and Equations Cluster: Understand the connections between proportional relationships, lines, and linear equations. Standard: 8.EE.5: Graph proportional relationships,
More informationLesson Plan Assembly Line Grade 6 Ratios
CCSSM: Grade 6 DOMAIN: Ratios and Proportional Relationships Cluster: Understand ratio concepts and use ratio reasoning to solve problems. Standard: 6.RP. Understand the concept of a ratio and use ratio
More informationPerimeter, Area, and Volume
Perimeter is a measurement of length. It is the distance around something. We use perimeter when building a fence around a yard or any place that needs to be enclosed. In that case, we would measure the
More informationcalled and explain why it cannot be factored with algebra tiles? and explain why it cannot be factored with algebra tiles?
Factoring Reporting Category Topic Expressions and Operations Factoring polynomials Primary SOL A.2c The student will perform operations on polynomials, including factoring completely first and seconddegree
More informationSection 2.4: Applications and Writing Functions
CHAPTER 2 Polynomial and Rational Functions Section 2.4: Applications and Writing Functions Setting up Functions to Solve Applied Problems Maximum or Minimum Value of a Quadratic Function Setting up Functions
More informationLesson Plan Warehouse Grade 7 Adding Integers
CCSSM: Grade 7 DOMAIN: The Number System Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Standard: 7.NS.1: Apply
More informationExample 1: If the sum of seven and a number is multiplied by four, the result is 76. Find the number.
EXERCISE SET 2.3 DUE DATE: STUDENT INSTRUCTOR: 2.3 MORE APPLICATIONS OF LINEAR EQUATIONS Here are a couple of reminders you may need for this section: perimeter is the distance around the outside of the
More informationApply and extend previous understandings of arithmetic to algebraic expressions. Draft
6th Grade  Expressions and Equations 1 Standard: 6.EE.1 No Calculator: Write and evaluate numerical expressions involving wholenumber exponents The population of fruit flies increases by a factor of
More informationLesson Plan Vats Grade 8 Write Algebraic Expressions
CCSSM: Grade 8 Lesson Plan DOMAIN: Functions Cluster: Use functions to model relationships between quantities. Standard: 8.F.: Construct a function to model a linear relationship between two quantities.
More informationArea LongTerm Memory Review Review 1
Review 1 1. To find the perimeter of any shape you all sides of the shape.. To find the area of a square, you the length and width. 4. What best identifies the following shape. Find the area and perimeter
More informationRectangle Square Triangle
HFCC Math Lab Beginning Algebra  15 PERIMETER WORD PROBLEMS The perimeter of a plane geometric figure is the sum of the lengths of its sides. In this handout, we will deal with perimeter problems involving
More informationPreAlgebra Curriculum Map 8 th Grade Unit 1 Integers, Equations, and Inequalities
Key Skills and Concepts Common Core Math Standards Unit 1 Integers, Equations, and Inequalities Chapter 1 Variables, Expressions, and Integers 12 days Add, subtract, multiply, and divide integers. Make
More informationMathematics as Reasoning Students will use reasoning skills to determine the best method for maximizing area.
Title: A Pen for Penny Brief Overview: This unit is a reinforcement of the concepts of area and perimeter of rectangles. Methods for maximizing area while perimeter remains the same are also included.
More informationCALCULATING PERIMETER. WHAT IS PERIMETER? Perimeter is the total length or distance around a figure.
CALCULATING PERIMETER WHAT IS PERIMETER? Perimeter is the total length or distance around a figure. HOW DO WE CALCULATE PERIMETER? The formula one can use to calculate perimeter depends on the type of
More informationCharacteristics of the Four Main Geometrical Figures
Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.
More informationGrade 4 Mathematics Measurement: Lesson 2
Grade 4 Mathematics Measurement: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside
More informationPerimeter. 14ft. 5ft. 11ft.
Perimeter The perimeter of a geometric figure is the distance around the figure. The perimeter could be thought of as walking around the figure while keeping track of the distance traveled. To determine
More informationBenchmark Assessment Test 2005 Math Grade 5 Test 1 Interpretive Guide
Benchmark Assessment Test 2005 Math Grade 5 Test 1 Interpretive Guide STRAND A MAA122 Compare relative size and order of whole numbers, fractions, decimals and percents 1 2 Comparing common fractions with
More informationMeasure the side of the figure to the nearest centimeter. Then find the perimeter. 1.
Measure the side of the figure to the nearest centimeter. Then find the perimeter. 1. a. 3 cm b. 6 cm c. 8 cm d. 9 cm 2. a. 4 cm b. 6 cm c. 8 cm d. 10 cm Powered by Cognero Page 1 Find the perimeter of
More informationMAIN IDEA The rectangle at the right has an area of 20 square units. The distance around the rectangle is 5 + 4 + 5 + 4, or 18 units.
19 Algebra: Area Formulas MAIN IDEA The rectangle at the right has an area of 20 square units. The distance around the rectangle is 5 + 4 + 5 + 4, or 1. Find the areas of rectangles and squares. New Vocabulary
More informationNumber 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 informationMultiplication of Whole Numbers & Factors
Lesson Number 3 Multiplication of Whole Numbers & Factors Professor Weissman s Algebra Classroom Martin Weissman, Jonathan S. Weissman. & Tamara Farber What Are The Different Ways To Show Multiplication?
More information5.1. Area and Perimeter The Dot Game. My Notes ACTIVITY
Area and Perimeter SUGGESTED LEARNING STRATEGIES: Summarize/ Paraphrase/Retell, Think/Pair/Share, Use Manipulatives Have you ever played? Here is your chance to play a game during math class. Have fun.
More informationSolving Geometric Applications
1.8 Solving Geometric Applications 1.8 OBJECTIVES 1. Find a perimeter 2. Solve applications that involve perimeter 3. Find the area of a rectangular figure 4. Apply area formulas 5. Apply volume formulas
More informationPreAlgebra Interactive Chalkboard Copyright by The McGrawHill Companies, Inc. Send all inquiries to:
PreAlgebra Interactive Chalkboard Copyright by The McGrawHill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGrawHill 8787 Orion Place Columbus, Ohio 43240 Click the mouse button
More informationWHAT IS AREA? CFE 3319V
WHAT IS AREA? CFE 3319V OPEN CAPTIONED ALLIED VIDEO CORPORATION 1992 Grade Levels: 59 17 minutes DESCRIPTION What is area? Lesson One defines and clarifies what area means and also teaches the concept
More informationMath Live Area and Perimeter: Assessment Task
Area and Perimeter: Assessment Task Grade: 5 Strand: Shape and Space (Measurement) Outcome: 2 SPECIFIC LEARNER OUTCOMES Shape and Space (Measurement SS2 Design and construct different rectangles, given
More informationsquare meter m 2 G10 AREA AND PERIMETER #1 G 1 0 Capsule Lesson Summary
G10 AREA AND PERIMETER #1 G 1 0 Capsule Lesson Summary Find areas of rectangles by multiplication. Find the rectangle of largest area among those of perimeter 100 m. Materials Teacher Colored chalk Grid
More informationLesson Plan Testing Lab Grade 5 Add, Subtract and Multiply Fractions
CCSSM: Grade 5 Lesson Plan DOMAIN: Number and Operations Fractions Cluster: Use equivalent fractions as a strategy to add and subtract fractions. Standard: 5.NF.1 Add and subtract fractions with unlike
More informationGeorgia Department of Education Common Core Georgia Performance Standards Framework Fourth Grade Mathematics Unit
Fourth Grade Mathematics Unit Constructing Task: Area and Perimeter Adapted from Fixed Perimeters and Fixed Areas in Teaching StudentCentered MATHEMATICS Grades 35 by John Van de Walle and LouAnn Lovin.
More informationMATH 31 UNIT 5: LESSON 6A GEOMETRIC APPLICATIONS: MAXIMIZING AREA AND VOLUME. NAME ANSWERS Page 1 of 9
NAME ANSWERS Page 1 of 9 EXAMPLE 1: The Starks have 60 metres of fencing with which to make a rectangular dog run. If they use a side of the shed as one side of the run, what dimensions will give the maimum
More informationShow that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.
Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional
More informationSect 9.5  Perimeters and Areas of Polygons
Sect 9.5  Perimeters and Areas of Polygons Ojective a: Understanding Perimeters of Polygons. The Perimeter is the length around the outside of a closed two  dimensional figure. For a polygon, the perimeter
More information5 th Grade Math. ELG 5.MD.C Understand concepts of volume and relate volume to multiplication and to addition. Vertical Progression: 3 rd Grade
Vertical Progression: 3 rd Grade 4 th Grade 5 th Grade 3.MD.C Geometric measurement: understanding concepts of area and relate area to multiplication and to addition. o 3.MD.C.5 Recognize area as an attribute
More informationCC Investigation 4: Measurement
Content Standards 6.G., 6.G. CC Investigation : Measurement Mathematical Goals At a Glance PACING 3 days DOMAIN: Geometry Find the volume of a right rectangular prism with fractional edge lengths by packing
More informationReporting with Precision and Accuracy
COMMON CORE Locker LESSON Reporting with Precision and Accuracy Common Core Standards The student is expected to: COMMON CORE NQA3 Choose a level of accuracy appropriate to limitations on measurement
More information3 rd Grade Mathematics
3 rd Grade Mathematics Unit #3 : Relating Area to Multiplication and Division Pacing: 29 Days Unit Overview In this unit, students extend their understanding of multiplication and division (Unit 2) by
More information5E Lesson Plan Perimeter and Area
5E Lesson Plan Perimeter and Area teachhouston Student Name: Mentor Teacher Name: Grade Level: 4th Lesson Teaching Date: Concept(s): Perimeter is the distance around the outside of a shape. Area is the
More informationAssessment Management
Area Objectives To provide experiences with the concept of area, distinguishing between area and perimeter, and finding areas of rectangular figures by partitioning and counting squares. www.everydaymathonline.com
More informationArea and Circumference of Circles
Teacher Created Materials 21208 Focused Mathematics Student Guided Practice Book of Circles Learning Objectives Geometry Know the formulas for the area and circumference of a circle and use them to solve
More informationArea & Perimeter. for 3rd grade. a FREE collection of resources by The Curriculum Corner.
Area & Perimeter for 3rd grade a FREE collection of resources by The Curriculum Corner Finding the Perimeter & Area The perimeter is the distance around the outside of the shape. The area is the amount
More informationVolume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms.
Volume of Right Prisms Objective To provide experiences with using a formula for the volume of right prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game
More informationCovering & Surrounding Notes Problem 1.1
Problem 1.1 Definitions: Area  the measure of the amount of surface enclosed by the sides of a figure. Perimeter  the measure of the distance around a figure. Bumpercars is one of the most popular rides
More informationAssessment Management
Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family
More informationGeorgia Department of Education THIRD GRADE MATHEMATICS UNIT 3 STANDARDS
Dear Parents, THIRD GRADE MATHEMATICS UNIT 3 STANDARDS We want to make sure that you have an understanding of the mathematics your child will be learning this year. Below you will find the standards we
More informationInterpreting Graphs. Interpreting a Bar Graph
1.1 Interpreting Graphs Before You compared quantities. Now You ll use graphs to analyze data. Why? So you can make conclusions about data, as in Example 1. KEY VOCABULARY bar graph, p. 3 data, p. 3 frequency
More informationModel area formulas for parallelograms, trapezoids, and triangles.
Answers Teacher Copy Lesson 233 Area of Triangles, Trapezoids, and Polygons Learning Targets p. 297 Model area formulas for parallelograms, trapezoids, and triangles. Write equations that represent problems
More informationAlgorithm set of steps used to solve a mathematical computation. Area The number of square units that covers a shape or figure
Fifth Grade CCSS Math Vocabulary Word List *Terms with an asterisk are meant for teacher knowledge only students need to learn the concept but not necessarily the term. Addend Any number being added Algorithm
More informationFree PreAlgebra Lesson 3 page 1. Example: Find the perimeter of each figure. Assume measurements are in centimeters.
Free PreAlgebra Lesson 3 page 1 Lesson 3 Perimeter and Area Enclose a flat space; say with a fence or wall. The length of the fence (how far you walk around the edge) is the perimeter, and the measure
More informationFormulas for Area Area of Trapezoid
Area of Triangle Formulas for Area Area of Trapezoid Area of Parallelograms Use the formula sheet and what you know about area to solve the following problems. Find the area. 5 feet 6 feet 4 feet 8.5 feet
More informationGrade 5 supplement. Set D1 Measurement: Area & Perimeter. Includes. Skills & Concepts
Grade 5 supplement Set D1 Measurement: Area & Perimeter Includes Activity 1: Measuring Area D1.1 Activity 2: Measuring Perimeter D1.5 Activity 3: The Ladybugs Garden D1.9 Activity 4: Hexarights D1.15 Independent
More information4 th Grade ISTEP+ Toolkit
4 th Grade Mathematics Instructional Week 26 Apply Area and Perimeter Formulas for Rectangles to Solve RealWorld Problems Paced Standards: 4.M.4: Apply the area and perimeter formulas for rectangles to
More informationPerimeter, Circumference, Area and Ratio LongTerm Memory Review
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 information1. Jack plants a vegetable garden. The garden is in the shape of a rectangle. He wants to put fencing around the entire garden.
Name: Class: Date: ID: A Chapter 13 Practice Test 1. Jack plants a vegetable garden. The garden is in the shape of a rectangle. He wants to put fencing around the entire garden. How much fencing does Jack
More informationAPPLICATIONS AND MODELING WITH QUADRATIC EQUATIONS
APPLICATIONS AND MODELING WITH QUADRATIC EQUATIONS Now that we are starting to feel comfortable with the factoring process, the question becomes what do we use factoring to do? There are a variety of classic
More informationI Perimeter, Area, Learning Goals 304
U N I T Perimeter, Area, Greeting cards come in a variety of shapes and sizes. You can buy a greeting card for just about any occasion! Learning Goals measure and calculate perimeter estimate, measure,
More informationArchdiocese of Washington Catholic Schools Academic Standards Mathematics
5 th GRADE Archdiocese of Washington Catholic Schools Standard 1  Number Sense Students compute with whole numbers*, decimals, and fractions and understand the relationship among decimals, fractions,
More informationMultiplying Decimal Numbers by 10, by 100, and by 1000
Multiplying Decimal Numbers by 10, by 100, and by 1000 Lesson 111 111 To multiply by 10, shift the decimal to the right one place. To multiply by 100, shift the decimal to the right two places. To multiply
More informationVOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region.
Math 6 NOTES 7.5 Name VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region. **The formula for the volume of a rectangular prism is:** l = length w = width h = height Study Tip:
More informationTallahassee Community College PERIMETER
Tallahassee Community College 47 PERIMETER The perimeter of a plane figure is the distance around it. Perimeter is measured in linear units because we are finding the total of the lengths of the sides
More informationDIAMOND PROBLEMS 1.1.1
DIAMOND PROBLEMS 1.1.1 In every Diamond Problem, the product of the two side numbers (left and right) is the top number and their sum is the bottom number. Diamond Problems are an excellent way of practicing
More informationGeometry: A Better Understanding of Area
Geometry: A Better Understanding of Area 6G1. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other
More informationOpenEnded ProblemSolving Projections
MATHEMATICS OpenEnded ProblemSolving Projections Organized by TEKS Categories TEKSING TOWARD STAAR 2014 GRADE 7 PROJECTION MASTERS for PROBLEMSOLVING OVERVIEW The Projection Masters for ProblemSolving
More informationPool Border Task. The Mathematics of the Task
Pool Border Task How many unit square tiles does it take to build a border around a square pool? The length of the sides of the pool is a natural number of units (1, 2, 3,...) and the border is just one
More informationSection 2.3: Quadratic Equations
SECTION.3 Quadratic Equations Section.3: Quadratic Equations Solving by Factoring Solving by Completing the Square Solving by the Quadratic Formula The Discriminant Solving by Factoring MATH 1310 College
More information3.1. Solving TwoStep Equations. Using Subtraction and Division to Solve. Goal: Solve twostep equations.
3.1 Solving TwoStep Equations Goal: Solve twostep equations. Notice in Example 1 that you isolate x by working backward. First you subtract from each side and then you divide. Example 1 Using Subtraction
More information2.7 Mathematical Models: Constructing Functions
CHAPTER Functions and Their Graphs.7 Mathematical Models: Constructing Functions OBJECTIVE Construct and Analyze Functions Construct and Analyze Functions Realworld problems often result in mathematical
More informationTeaching & Learning Plans. Quadratic Equations. Junior Certificate Syllabus
Teaching & Learning Plans Quadratic Equations Junior Certificate Syllabus The Teaching & Learning Plans are structured as follows: Aims outline what the lesson, or series of lessons, hopes to achieve.
More informationChapter 8. Quadratic Equations and Functions
Chapter 8. Quadratic Equations and Functions 8.1. Solve Quadratic Equations KYOTE Standards: CR 0; CA 11 In this section, we discuss solving quadratic equations by factoring, by using the square root property
More informationGary School Community Corporation Mathematics Department Unit Document. Unit Number: 3 Grade: 4
Gary School Community Corporation Mathematics Department Unit Document Unit Number: 3 Grade: 4 Unit Name: Measurement with Angles and Rectangles Duration of Unit: 20 Days UNIT FOCUS In this unit, students
More informationFamily Letters. Assessment Management. Playing Fraction Of
Formula for the Area of a Parallelogram Objectives To review the properties of parallelograms; and to guide the development and use of a formula for the area of a parallelogram. www.everydaymathonline.com
More informationREVIEW SHEETS INTERMEDIATE ALGEBRA MATH 95
REVIEW SHEETS INTERMEDIATE ALGEBRA MATH 95 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts which are taught in the specified math course. The sheets
More informationCommon Core State Standards 1 st Edition Math Pacing Guide Fourth Grade 4 th Nine Week Period
Common Core State Standards 1 st Edition Math Pacing Guide Fourth Grade 4 th Nine Week Period 1 st Edition Developed by: Christy Mitchell, Amy Moreman, Natalie Reno ``````````````````````````````````````````````````````````````````````````````````````
More informationExam 2 Review. 3. How to tell if an equation is linear? An equation is linear if it can be written, through simplification, in the form.
Exam 2 Review Chapter 1 Section1 Do You Know: 1. What does it mean to solve an equation? To solve an equation is to find the solution set, that is, to find the set of all elements in the domain of the
More informationACTIVITY: Multiplying Binomials Using Algebra Tiles. Work with a partner. Six different algebra tiles are shown below.
7.3 Multiplying Polynomials How can you multiply two binomials? 1 ACTIVITY: Multiplying Binomials Using Algebra Tiles Work with a partner. Six different algebra tiles are shown below. 1 1 x x x x Write
More informationCurriculum Alignment Project
Curriculum Alignment Project Math Unit Date: Unit Details Title: Solving Linear Equations Level: Developmental Algebra Team Members: Michael Guy Mathematics, Queensborough Community College, CUNY Jonathan
More informationTopic 9: Surface Area
Topic 9: Surface Area for use after Covering and Surrounding (Investigation 5) Jillian is wrapping a box of model cars for her brother s birthday. Jillian needs to measure the box to see if she has enough
More informationHomework from Section Find two positive numbers whose product is 100 and whose sum is a minimum.
Homework from Section 4.5 4.5.3. Find two positive numbers whose product is 100 and whose sum is a minimum. We want x and y so that xy = 100 and S = x + y is minimized. Since xy = 100, x = 0. Thus we have
More informationIntroduction to the Practice Exams
Introduction to the Practice Eams The math placement eam determines what math course you will start with at North Hennepin Community College. The placement eam starts with a 1 question elementary algebra
More informationArea and Perimeter. oneinch squares. There are oneinch squares covering Rectangle X. row(s) of oneyard squares. oneyard squares.
12 CHAPTER Area and Perimeter Lesson 12.1 Area of a Rectangle Find the area of each figure. 1. 1 in. 1 in. X There are Each row has rows of oneinch squares. oneinch squares. There are oneinch squares
More informationSummer Math Packet exiting 6 th grade
Name Date Enter 7 Summer Math Packet exiting 6 th grade Simplify the expression. Identify the properties used. 1. 4 x 3 2. x 3.5 4 3.Use a formula to find the area of the figure. 4. Tickets to a basketball
More informationDescribing and Solving for Area and Perimeter
Grade 3 Mathematics, Quarter 2,Unit 2.2 Describing and Solving for Area and Perimeter Overview Number of instruction days: 810 (1 day = 90 minutes) Content to Be Learned Distinguish between linear and
More informationGrade 3. Measurement and Data 3.MD.7.ad 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES
THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 3 Measurement and Data 3.MD.7.ad 2012 COMMON CORE STATE STANDARDS ALIGNED MODULES THE NEWARK PUBLIC SCHOOLS Office of Mathematics MATH TASKS Measurement
More informationCalculating Area, Perimeter and Volume
Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly
More informationSummer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students
Summer Assignment for incoming Fairhope Middle School 7 th grade Advanced Math Students Studies show that most students lose about two months of math abilities over the summer when they do not engage in
More informationGeometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
More informationLesson 3: Area. Selected Content Standards. Translating Content Standards into Instruction
Lesson 3: Area Selected Content Standards Benchmark Assessed: M.3 Estimating, computing, and applying physical measurement using suitable units (e.g., calculate perimeter and area of plane figures, surface
More informationSolve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem.
Solve addition and subtraction word problems, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. Solve word problems that call for addition of three whole numbers
More informationSigns, Signs, Every Place There Are Signs! Area of Regular Polygons p. 171 Boundary Lines Area of Parallelograms and Triangles p.
C H A P T E R Perimeter and Area Regatta is another word for boat race. In sailing regattas, sailboats compete on courses defined by marks or buoys. These courses often start and end at the same mark,
More informationMathematics Common Core Sample Questions
New York State Testing Program Mathematics Common Core Sample Questions Grade6 The materials contained herein are intended for use by New York State teachers. Permission is hereby granted to teachers and
More information4. Molly walked all the way around the edge of her yard. The distance she walked is the yard's
Name: Date: 1. Derrius has 24 feet of fencing to use for a rectangular dog pen. Which dimensions would give him the most room (area) for his dog? A. 1 foot by 11 feet B. 3 feet by 9 feet C. 4 feet by 8
More information7.2 Quadratic Equations
476 CHAPTER 7 Graphs, Equations, and Inequalities 7. Quadratic Equations Now Work the Are You Prepared? problems on page 48. OBJECTIVES 1 Solve Quadratic Equations by Factoring (p. 476) Solve Quadratic
More information4. What could be the rule for the pattern in the table? n 1 2 3 4 5 Rule 3 5 7 9 11
5 th Grade Practice Test Objective 1.1 1. John has two fewer marbles than Kay. If Kay has marbles, how many marbles does John have? 2 2 2 2 2. What is if + 17 = 26? 43 19 11 9 3. ll the cakes at the bake
More informationDeveloping Conceptual Understanding of Number. Set J: Perimeter and Area
Developing Conceptual Understanding of Number Set J: Perimeter and Area Carole Bilyk cbilyk@gov.mb.ca Wayne Watt wwatt@mts.net Perimeter and Area Vocabulary perimeter area centimetres right angle Notes
More informationREVIEW: Write each statement as an inequality and then graph the inequality.
LESSON 15 NOTES (Part A): SOLVING INEQUALITIES Words like "at most" and "at least" suggest a relationship in which two quantities may not be equal. These relationships can be represented by a mathematical
More informationTasks in the Lesson. Remind students of the rectangle comparisons that involved overlapping and cutting the rectangles to compare their areas..
Mathematical Goals Common Core State Standards Emphasized Standards for Mathematical Practice Prior Knowledge Needed Vocabulary Materials Lesson 5: Rectangle Comparison II Overview and Background Information
More informationDOUBLE, DOUBLE: LOOKING AT THE EFFECT OF CHANGE
DOUBLE, DOUBLE: LOOKING AT THE EFFECT OF CHANGE ON PERIMETER, AREA AND VOLUME Outcome (lesson objective) Students will demonstrate how changes in the dimensions of squares, rectangles, and circles affect
More informationLesson 13: The Formulas for Volume
Student Outcomes Students develop, understand, and apply formulas for finding the volume of right rectangular prisms and cubes. Lesson Notes This lesson is a continuation of Lessons 11, 12, and Module
More information