Unit 4, Lesson 14: Fractional Lengths in Triangles and Prisms

Size: px
Start display at page:

Download "Unit 4, Lesson 14: Fractional Lengths in Triangles and Prisms"

Transcription

1 Unit 4, Lesson 14: Fractional Lengths in Triangles and Prisms Lesson Goals Use multiplication and division to solve problems involving fractional areas and lengths in triangles. cubes with fractional edge lengths and finding the number of cubes. Understand that volume of a rectangular prism can be found by packing it with unit Know that the volume of a rectangular prism can also be found by multiplying its edge lengths. Required Materials -inch cubes geometry toolkits 14.1: Area of Triangle (5 minutes) Setup: Students in groups of 2. 2 minutes of quiet work time, followed by 1 minute of partner discussion. Review the formula for the area of a triangle before students begin. Unit 4: Dividing Fractions, Lesson 14: Fractional Lengths in Triangles and Prisms 1

2 Student task statement Find the area of Triangle A in square centimeters. Show your reasoning. Possible responses cm 2 Unit 4: Dividing Fractions, Lesson 14: Fractional Lengths in Triangles and Prisms 2

3 14.2: Bases and Heights of Triangles (10 minutes) Setup: Students in groups of minutes of quiet work time, followed by 2 minutes of partner discussion. Student task statement 1. The area of Triangle B is 8 square units. Find the length of. Show your reasoning. Possible responses 1. 6 units 2. 6 units Anticipated misconceptions 2. The area of Triangle C is square units. What is the length of? Show your reasoning. Some students may not know how to find a missing factor when three instead of two factors are involved. Ask if there is any step to take or any calculation to make first so they are only working with two factors. Unit 4: Dividing Fractions, Lesson 14: Fractional Lengths in Triangles and Prisms 3

4 14.3: Volumes of Cubes and Prisms (20 minutes) Setup: A brief discussion of 1-inch and 2-inch cubes. Students in groups of 3 4. Twenty -inch cubes per group. 5 minutes of work time for the first set of questions, followed by a brief whole-class discussion. 7 8 minutes on the remaining questions. Unit 4: Dividing Fractions, Lesson 14: Fractional Lengths in Triangles and Prisms 4

5 Student task statement 1. Your teacher will give you a set of cubes with an edge length of inch. Use them to help you answer the following questions. a. Here is a drawing of a cube with an edge length of 1 inch. How many cubes with an edge length of inch are needed to fill this cube? Possible responses 1. a. 8 b. in 3 c. in 3 or in 3 2. a. See lesson plan for completed table. b. Answers vary. Sample explanation: I noticed that the volume is equal to. b. What is the volume, in cubic inches, of a cube with an edge length of inch? Explain or show your reasoning. c. Four cubes are piled in a single stack to make a prism. Each cube has an edge length of inch. Sketch the prism, and find its volume in cubic inches. 2. Use cubes with an edge length of inch to build prisms with the lengths, widths, and heights shown in the table. 3. in 3 Anticipated misconceptions Students may need a reminder to label volume in cubic units. a. For each prism, record in the table how many -inch cubes can be packed into the prism and the volume of the prism. Unit 4: Dividing Fractions, Lesson 14: Fractional Lengths in Triangles and Prisms 5

6 prism prism prism number of -inch volume of length (in) width (in) height (in) cubes in prism prism (cu in) b. Analyze the values in the table. What do you notice about the relationship between the edge lengths of each prism and its volume? 3. What is the volume of a rectangular prism that is inches by inches by 4 inches? Show your reasoning. Unit 4: Dividing Fractions, Lesson 14: Fractional Lengths in Triangles and Prisms 6

7 Are you ready for more? A unit fraction has a 1 in the numerator. These are unit fractions:. 1. Find three unit fractions whose sum is. An example is:. These are not unit fractions: Possible Responses Answers vary. Sample response: 1. How many examples like this can you find? 2. Find a box whose surface area in square units equals its volume in cubic units. How many like this can you find? 2. The denominators of the fractions that work for the first question can be used as the length, width, and height of the box. Lesson Synthesis (5 minutes) How do we find an unknown base or height measurement in a triangle when other known measurements involve fractions? How do we find the volume of a rectangular prism with fractional edge lengths? 14.4: Triangles and Cubes (Cool-down, 5 minutes) Setup: None. Unit 4: Dividing Fractions, Lesson 14: Fractional Lengths in Triangles and Prisms 7

8 Student task statement 1. A triangle has a base of inches and an area of square inches. Find the height of the triangle. Show your reasoning. 2. Answer each of the following questions and show your reasoning. Possible responses 1., so is and the height is inches. a. How many cubes with an edge length of inch are needed to build a cube with an edge length of 1 inch? b. What is the volume, in cubic inches, of one cube with an edge length of inch? 2. a. 27 b. in 3 Unit 4: Dividing Fractions, Lesson 14: Fractional Lengths in Triangles and Prisms 8

Unit 5, Lesson 8: Calculating Products of Decimals

Unit 5, Lesson 8: Calculating Products of Decimals Unit 5, Lesson 8: Calculating Products of Decimals Lesson Goals Required Materials Use an algorithm to calculate products of decimals. Understand how a multiplication algorithm works. 8.1: Number Talk:

More information

Unit 1, Lesson 7: From Parallelograms to Triangles

Unit 1, Lesson 7: From Parallelograms to Triangles Unit 1, Lesson 7: From Parallelograms to Triangles Lesson Goals Understand and explain that any two identical triangles can be composed into a parallelogram. Describe how any parallelogram can be decomposed

More information

Mathematics Success Grade 6

Mathematics Success Grade 6 Mathematics Success Grade 6 T683 [OBJECTIVE] The student will determine the volume of rectangular prisms with fractional edge lengths and solve problems in mathematical and real-world situations. [PREREQUISITE

More information

Unit 1, Lesson 13: Polyhedra

Unit 1, Lesson 13: Polyhedra Unit 1, Lesson 13: Polyhedra Lesson Goals Identify prisms and pyramids. Understand and use vocabulary for polyhedra. Understand the relationship between polyhedra and their nets. Required Materials nets

More information

STAAR Category 3 Grade 7 Mathematics TEKS 7.8A/7.9A. Student Activity 1. Problem 1: The height of a prism is the distance between the two.

STAAR Category 3 Grade 7 Mathematics TEKS 7.8A/7.9A. Student Activity 1. Problem 1: The height of a prism is the distance between the two. Student Activity 1 Work with your partner to answer the following questions. Problem 1: The height of a prism is the distance between the two. The height of a pyramid is the distance from the vertex the

More information

Designing Rectangular Boxes

Designing Rectangular Boxes Designing Rectangular Boxes Finding the right box for a product requires thought and planning. A company must consider how much the box can hold as well as the amount and the cost of the material needed

More information

Name 13-6A. 1. Which is the volume of the solid? 2. What is the volume of the solid? A 72 cm 3 B 432 cm 3 C 672 cm 3 D 864 cm 3

Name 13-6A. 1. Which is the volume of the solid? 2. What is the volume of the solid? A 72 cm 3 B 432 cm 3 C 672 cm 3 D 864 cm 3 . Which is the volume of the solid? Quick Check. What is the volume of the solid? 8 in. 9 in. 8 in. A 96 in B 9 in C 0 in D 6 in 8 in. A 7 B C 67 D 86. Writing to Explain Carlos is an architect. He wants

More information

Math Live Volume: Assessment Task

Math Live Volume: Assessment Task Volume: Assessment Task Grade: 5 Strand: Shape and Space (Measurement) Outcome: 4 SPECIFIC LEARNER OUTCOMES Shape and Space (Measurement SS4 Demonstrate an understanding of volume by: selecting and justifying

More information

About Finish Line Mathematics 5

About Finish Line Mathematics 5 Table of COntents About Finish Line Mathematics 5 Unit 1: Big Ideas from Grade 4 7 Lesson 1 4.NBT.5, 6 Multiplying and Dividing Whole Numbers [connects to 5.NBT.5, 6] 8 Lesson 2 4.NF.6, 7 Understanding

More information

Unit 1, Lesson 11: Polygons

Unit 1, Lesson 11: Polygons Unit 1, Lesson 11: Polygons Lesson Goals Understand and explain that one can find the area of any polygon by decomposing and rearranging it into rectangles and triangles. Understand the defining characteristics

More information

Grade 6 Mathematics Item Specifications Florida Standards Assessments

Grade 6 Mathematics Item Specifications Florida Standards Assessments Content Standard MAFS.6.G Geometry MAFS.6.G.1 Solve real-world and mathematical problems involving area, surface area, and volume. Assessment Limits Calculator s Context A shape is shown. MAFS.6.G.1.1

More information

Lesson 26: Volume of Composite Three-Dimensional Objects

Lesson 26: Volume of Composite Three-Dimensional Objects Classwork Example 1 Find the volume of the following three-dimensional object composed of two right rectangular prisms. Exercise 1 Find the volume of the following three-dimensional figure composed of

More information

The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net.

The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net. The surface area of a solid figure is the sum of the areas of its surfaces. To help you see all the surfaces of a solid figure, you can use a net. A net is the pattern made when the surface of a solid

More information

Houston County School System Mathematics

Houston County School System Mathematics Student Name: Teacher Name: Grade: 6th Unit #: 5 Unit Title: Area and Volume Approximate Start Date of Unit: Approximate End Date (and Test Date) of Unit: The following Statements and examples show the

More information

Lesson 26: Volume of Composite Three-Dimensional Objects

Lesson 26: Volume of Composite Three-Dimensional Objects Lesson 26: Volume of Composite Three-Dimensional Objects Student Outcomes Students compute volumes of three-dimensional objects composed of right prisms by using the fact that volume is additive. Lesson

More information

STAAR Category 3 Grade 7 Mathematics TEKS 7.9D. Student Activity 1

STAAR Category 3 Grade 7 Mathematics TEKS 7.9D. Student Activity 1 Student Activity 1 Work with your partner to answer the following questions. Problem 1: A triangular prism has lateral faces and faces called bases. The bases are in the shape of a. The lateral faces are

More information

Polygon Practice. E90 Grade 5. Name

Polygon Practice. E90 Grade 5. Name Lesson 11.1 Polygon Practice Write the number of sides and the number of angles that each polygon has. Then match each description to one of the polygons drawn below. Label the polygon with the exercise

More information

Surface Area of Triangular Prisms - Nets

Surface Area of Triangular Prisms - Nets U2B L6: Students will determine the surface area of a triangular prism Surface Area of Triangular Prisms - Nets Surface area - the area of all the faces of the prism Triangular prism - made up of three

More information

Volume of a Cube and Rectangular Prism

Volume of a Cube and Rectangular Prism Distance Education for Elementary Schools Self- Instructional Materials Volume of a Cube and Rectangular Prism Skill: Department of Education BUREAU OF ELEMENTARY EDUCATION 2 ND Floor Bonifacio, Building

More information

Measurement and Geometry: Area and Volume of Geometric Figures and Objects *

Measurement and Geometry: Area and Volume of Geometric Figures and Objects * OpenStax-CNX module: m35023 1 Measurement and Geometry: and Volume of Geometric Figures and Objects * Wade Ellis Denny Burzynski This work is produced by OpenStax-CNX and licensed under the Creative Commons

More information

SAMPLE TASKS. Concepts Embedded Skills Vocabulary. unit cube. unit cube volume side lengths

SAMPLE TASKS. Concepts Embedded Skills Vocabulary. unit cube. unit cube volume side lengths Common Core Learning Standards Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. 5.MD.3a. A cube with side length 1 unit, called a unit cube, is

More information

Tiling And Filling The Pool Assessment Materials for Student

Tiling And Filling The Pool Assessment Materials for Student Tiling And Filling The Pool Assessment Materials for Student You have been hired to design the outside of a tissue box for a new company. The base of the box is 10 inches by 4 inches. The height of the

More information

Objective: Find the total volume of solid figures composed of two nonoverlapping

Objective: Find the total volume of solid figures composed of two nonoverlapping Lesson 6 Objective: Find the total volume of solid figures composed of two nonoverlapping Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time

More information

Surface Area and Volume

Surface Area and Volume 15 CHAPTER Surface Area and Volume Worksheet 1 Building Solids Using Unit Cubes How many unit cubes are used to build each solid? This is a unit cube. 1. 2. unit cubes 3. 4. unit cubes unit cubes unit

More information

Surface Area and Volume

Surface Area and Volume 14 CHAPTER Surface Area and Volume Lesson 14.1 Building Solids Using Unit Cubes How many unit cubes are used to build each solid? 1. unit cubes 2. unit cubes Extra Practice 5B 121 3. unit cubes 4. 5. unit

More information

Surface Area of Solids

Surface Area of Solids Lesson 24 Surface Area of Solids Name: Prerequisite: Use a Net to Find Surface Area Study the example showing how to use a net to find the surface area of a prism. Then solve problems 7. Example Kioshi

More information

2. a. approximately cm 3 or 9p cm b. 20 layers c. approximately cm 3 or 180p cm Answers will vary.

2. a. approximately cm 3 or 9p cm b. 20 layers c. approximately cm 3 or 180p cm Answers will vary. Answers Investigation ACE Assignment Choices Problem. Core Other Connections Problem. Core,, Other Applications 7, ; Connections 7 0; unassigned choices from previous problems Problem. Core 7 Other Connections,

More information

Surface Area and Volume

Surface Area and Volume 15 CHAPTER Surface Area and Volume Lesson 15.1 Building Solids Using Unit Cubes How many unit cubes are used to build each solid? 1. 2. unit cubes unit cubes Extra Practice 5B 115 3. unit cubes 4. 5. unit

More information

Math 6: Geometry 3-Dimensional Figures

Math 6: Geometry 3-Dimensional Figures Math 6: Geometry 3-Dimensional Figures Three-Dimensional Figures A solid is a three-dimensional figure that occupies a part of space. The polygons that form the sides of a solid are called a faces. Where

More information

Answers Investigation 4

Answers Investigation 4 Answers Applications 1 4. Patterns 2 and 4 can fold to form closed boxes. Patterns 1 and 3 cannot fold to form closed boxes. 10. Sketch of box and possible net: 5. a. Figures 1 and 2 can be folded to form

More information

c. If each square foot of sod costs 65 cents, how much will she have to pay to cover her yard?

c. If each square foot of sod costs 65 cents, how much will she have to pay to cover her yard? Name Date 1. Use your ruler to draw a rectangle that measures 4 1 by 2 3 inches, and find its area. 2 4 2. Heather has a rectangular yard. She measures it and finds out it is 24 1 feet long by 12 4 feet

More information

Lesson 21: Surface Area

Lesson 21: Surface Area Lesson 21: Surface Area Classwork Opening Exercise: Surface Area of a Right Rectangular Prism On the provided grid, draw a net representing the surfaces of the right rectangular prism (assume each grid

More information

A C E. Answers Investigation 4. Applications. b. Possible answers:

A C E. Answers Investigation 4. Applications. b. Possible answers: Answers Applications 4. Patterns and 4 can fold to form closed boxes. Patterns and cannot fold to form closed boxes. 5. a. Figures and can be folded to form a closed box. Pattern C cannot. b. Figure :

More information

Three Dimensional Figures. TeacherTwins 2015

Three Dimensional Figures. TeacherTwins 2015 Three Dimensional Figures TeacherTwins 2015 Warm Up What is a 2 dimensional figure? What is a three dimensional figure? Draw a picture of each. Using the nets provided, make the following three dimensional

More information

3.1 Deepening Understandings of Volume Parts 1_2.notebook. September 05, 2018 M Jun 27 10:28 AM

3.1 Deepening Understandings of Volume Parts 1_2.notebook. September 05, 2018 M Jun 27 10:28 AM M1 115 Jun 27 10:28 AM 1 Learning Targets Jun 20 10:53 AM 2 9/4 /18 # Glue pages 1 & 2 into notebook M1: 3.1 Deepening Understanding of Volume Essential Question: How can you use what you know to calculate

More information

9.2. Formulas for Volume. Are You Ready? Lesson Opener Making Connections. Resources. Essential Question. Texas Essential Knowledge and Skills

9.2. Formulas for Volume. Are You Ready? Lesson Opener Making Connections. Resources. Essential Question. Texas Essential Knowledge and Skills 9.2 Formulas for Volume? Essential Question How can you use formulas to find the volume of rectangular prisms? How can you use formulas to find the volume of rectangular prisms? Lesson Opener Making Connections

More information

Objective: Use multiplication to calculate volume.

Objective: Use multiplication to calculate volume. Lesson 4 Objective: Use multiplication to calculate volume. Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time (12 minutes) (5 minutes) (33 minutes)

More information

Three-Dimensional Figures and Nets

Three-Dimensional Figures and Nets Lesson 11.1 Reteach Three-Dimensional Figures and Nets Solid figures have three dimensions length, width, and height. They can be named by the shapes of their bases, the number of bases, and the shapes

More information

Lesson 3: Definition and Properties of Volume for Prisms and Cylinders

Lesson 3: Definition and Properties of Volume for Prisms and Cylinders : Definition and Properties of Volume for Prisms and Cylinders Learning Targets I can describe the properties of volume. I can find the volume of any prism and cylinder using the formula Area of Base Height.

More information

Georgia Department of Education FIFTH GRADE MATHEMATICS UNIT 6 STANDARDS

Georgia Department of Education FIFTH GRADE MATHEMATICS UNIT 6 STANDARDS Dear Parents, FIFTH GRADE MATHEMATICS UNIT 6 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 information

Real-World Problems: Surface Area and Volume. Solve word problems about the volume of rectangular prisms.

Real-World Problems: Surface Area and Volume. Solve word problems about the volume of rectangular prisms. 12.4 Real-World Problems: Surface Area and Volume Lesson Objective Solve problems involving surface area and volume of prisms. Learn Solve word problems about the volume of rectangular prisms. A rectangular

More information

Nets and Drawings for Visualizing Geometry. Unit 1 Lesson 1

Nets and Drawings for Visualizing Geometry. Unit 1 Lesson 1 Nets and Drawings for Visualizing Geometry Unit 1 Lesson 1 Students will be able to: Represent three-dimensional figures using nets. Make isometric and orthographic drawings. Key Vocabulary: Net Isometric

More information

Lesson 23: Surface Area

Lesson 23: Surface Area Lesson 23 Lesson 23: Classwork Opening Exercise Calculate the surface area of the square pyramid. Example 1 a. Calculate the surface area of the rectangular prism. Lesson 23: S.142 Lesson 23 b. Imagine

More information

End-of-Module Assessment Task

End-of-Module Assessment Task Name Date 1. The juice box pictured below is 4 inches high, 3 inches long, and 2 inches wide. a. In the grid above, the distance between grid lines represents one inch. Use the grid paper to sketch the

More information

Lesson 22: Surface Area

Lesson 22: Surface Area Student Outcomes Students find the surface area of three-dimensional objects whose surface area is composed of triangles and quadrilaterals, specifically focusing on pyramids. They use polyhedron nets

More information

Polygons. 5 sides 5 angles. pentagon. Name

Polygons. 5 sides 5 angles. pentagon. Name Lesson 11.1 Reteach Polygons A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. You can classify a polygon by the number of sides and the number

More information

Students construct nets of three dimensional objects using the measurements of a solid s edges.

Students construct nets of three dimensional objects using the measurements of a solid s edges. Student Outcomes Students construct nets of three dimensional objects using the measurements of a solid s edges. Lesson Notes In the previous lesson, a cereal box was cut down to one of its nets. On the

More information

The Grade 5 Common Core State Standards for Measurement and Data specify that students should

The Grade 5 Common Core State Standards for Measurement and Data specify that students should Measurement and Data Students have learned that measurement is the process of comparing a quantity to a standard unit. In fifth grade, students convert units within a given measurement system and use these

More information

Classwork. Opening Exercise. Example 1. Which prism will hold more 1 in. 1 in. 1 in. cubes? 12 in. 6 in. 4 in. 5 in. 10 in. 8 in.

Classwork. Opening Exercise. Example 1. Which prism will hold more 1 in. 1 in. 1 in. cubes? 12 in. 6 in. 4 in. 5 in. 10 in. 8 in. Classwork Opening Exercise Which prism will hold more 1 in. 1 in. 1 in. cubes? 6 in. 12 in. 10 in. 4 in. 8 in. 5 in. How many more cubes will the prism hold? Example 1 A box with the same dimensions as

More information

A Correlation of. to the. Common Core State Standards for Mathematics Bid Category Grade 5

A Correlation of. to the. Common Core State Standards for Mathematics Bid Category Grade 5 A Correlation of to the Bid Category 11-010-50 A Correlation of, to the Operations and Algebraic Thinking Write and interpret numerical expressions. [5.OA.A.1]Use parentheses, brackets, or braces in numerical

More information

MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions

MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions MATH-8 Review Volume of 3D shapes 2018 N Exam not valid for Paper Pencil Test Sessions [Exam ID:2YBSPT 1 What is the volume of a cube with a length of 8 inches? A 96 in 3 B 256 in 3 C 512 in 3 D 384 in

More information

IB Math SL Year 2 Name: Date: 8-3: Optimization in 2D Today s Goals: What is optimization? How do you maximize/minimize quantities using calculus?

IB Math SL Year 2 Name: Date: 8-3: Optimization in 2D Today s Goals: What is optimization? How do you maximize/minimize quantities using calculus? Name: Date: 8-3: Optimization in 2D Today s Goals: What is optimization? How do you maximize/minimize quantities using calculus? What is optimization? It involves finding the or value of a function subjected

More information

Geometry Review Chapter 10: Volume PA Anchors: A3; B2; C1. 1. Name the geometric solid suggested by a frozen juice can.

Geometry Review Chapter 10: Volume PA Anchors: A3; B2; C1. 1. Name the geometric solid suggested by a frozen juice can. Geometry Review Chapter 10: Volume PA Anchors: A; B2; C1 1. Name the geometric solid suggested by a frozen juice can. 2. Name the geometric solid suggested by a beach ball.. Name the geometric solid suggested

More information

The School District of Palm Beach County Fifth Grade Mathematics Scope rd Trimester

The School District of Palm Beach County Fifth Grade Mathematics Scope rd Trimester Unit & Go Math! & lessons from each Measurement and Data MA.5.G.5.3 MD.1.1 Convert like measurement units within a given measurement system. Convert among different-sized standard measurement units within

More information

Mohawk Local Schools. 5 th Grade Math

Mohawk Local Schools. 5 th Grade Math Mohawk Local Schools Quarter 5 th Grade Math 3 Curriculum Guide Mathematical Practices 1. Make Sense of Problems and Persevere in Solving them 2. Reasoning Abstractly & Quantitatively 3. Construct Viable

More information

Mohawk Local Schools. 5 th Grade Math

Mohawk Local Schools. 5 th Grade Math Mohawk Local Schools Quarter 3 Critical Areas of Focus Being Addressed: o Fractions o Decimals o Geometry o 5 th Grade Math Curriculum Guide Mathematical Practices 1. Make Sense of Problems and Persevere

More information

Franklin Math Bowl 2008 Group Problem Solving Test Grade 6

Franklin Math Bowl 2008 Group Problem Solving Test Grade 6 Group Problem Solving Test Grade 6 1. The fraction 32 17 can be rewritten by division in the form 1 p + q 1 + r Find the values of p, q, and r. 2. Robert has 48 inches of heavy gauge wire. He decided to

More information

New York State Testing Program Mathematics Test

New York State Testing Program Mathematics Test New York State Testing Program Mathematics Test 2013 Turnkey Training Grade 6 Extended-response (3-point) Sample Question Guide Set Page 0 8 2 A closed box in the shape of a rectangular prism has a length

More information

29 GEOMETRY AND MEASURE: AREA AND VOLUME

29 GEOMETRY AND MEASURE: AREA AND VOLUME 29 GEOMETRY AND MEASURE: AREA AND VOLUME Recognise units of measurement used for length, area and volume Know and apply formulae to calculate area of triangles, circles, parallelograms and trapezia Calculate

More information

Instructional. Essential Standards. Materials. Envision Topic 1 1-1; 1-2; 1-3; 1-4. Envision Topic 2 2-2; 2-3. Envision Topic 2 2-4; 2-5; 2-6

Instructional. Essential Standards. Materials. Envision Topic 1 1-1; 1-2; 1-3; 1-4. Envision Topic 2 2-2; 2-3. Envision Topic 2 2-4; 2-5; 2-6 Time Frame Period 1 Dates: Sept.4 Oct.26 Big Idea/Topic Essential Standards NS1.1 Estimate, round, and manipulate very large and very small numbers. Materials Envision Topic 1 1-1; 1-2; 1-3; 1-4 Envision

More information

Lesson 9. Three-Dimensional Geometry

Lesson 9. Three-Dimensional Geometry Lesson 9 Three-Dimensional Geometry 1 Planes A plane is a flat surface (think tabletop) that extends forever in all directions. It is a two-dimensional figure. Three non-collinear points determine a plane.

More information

Volume of Rectangular Prisms. How can you find the volume of a rectangular prism?

Volume of Rectangular Prisms. How can you find the volume of a rectangular prism? ? Name 12.3 Essential Question Volume of Rectangular Prisms How can you find the volume of a rectangular prism? Geometry and Measurement 5.6. lso 5.4.G MTHEMTIL PROESSES 5.1.F, 5.1.G onnect The base of

More information

Lesson 6 Reteach. Surface Area of Prisms. Example. Exercises. 232 in^ tt^^ Find the surface area of the rectangular prism.

Lesson 6 Reteach. Surface Area of Prisms. Example. Exercises. 232 in^ tt^^ Find the surface area of the rectangular prism. Lesson 6 Reteach Surface Area of Prisms T h e s u m of the areas of all the surfaces, or faces, of a three-dimensional shape is the surface area. T h e surface area of a rectangular prism with length f,

More information

Student Outcomes. Classwork. Opening Exercises 1 2 (5 minutes)

Student Outcomes. Classwork. Opening Exercises 1 2 (5 minutes) Student Outcomes Students use the Pythagorean Theorem to determine an unknown dimension of a cone or a sphere. Students know that a pyramid is a special type of cone with triangular faces and a rectangular

More information

Lesson 24: Surface Area

Lesson 24: Surface Area Student Outcomes Students determine the surface area of three-dimensional figures, those that are composite figures and those that have missing sections. Lesson Notes This lesson is a continuation of Lesson

More information

5th GRADE MATHEMATICS

5th GRADE MATHEMATICS 5th GRADE MATHEMATICS 2018-2019 Year-at-a-Glance Place Value and Decimal Fractions Multi-digit number and decimal fraction operations Addition and Subtraction of Fractions Multiplication and Division of

More information

MD5-26 Stacking Blocks Pages

MD5-26 Stacking Blocks Pages MD5-26 Stacking Blocks Pages 115 116 STANDARDS 5.MD.C.4 Goals Students will find the number of cubes in a rectangular stack and develop the formula length width height for the number of cubes in a stack.

More information

Quiz Volume Prisms Math For Kids

Quiz Volume Prisms Math For Kids Quiz Volume Math For Kids Free PDF ebook Download: Quiz Volume Math For Kids Download or Read Online ebook quiz volume prisms math for kids in PDF Format From The Best User Guide Database Surface Area

More information

6th Grade Math. Parent Handbook

6th Grade Math. Parent Handbook 6th Grade Math Benchmark 3 Parent Handbook This handbook will help your child review material learned this quarter, and will help them prepare for their third Benchmark Test. Please allow your child to

More information

ISBN Copyright 2015 The Continental Press, Inc.

ISBN Copyright 2015 The Continental Press, Inc. TABLE OF CONTENTS Introduction 3 Format of Books 4 Suggestions for Use 7 Annotated Answer Key and Extension Activities 9 Reproducible Tool Set 175 ISBN 978-0-8454-7911-7 Copyright 2015 The Continental

More information

2. The Wheel of Theodorus in Problem 4.1 includes only the first 11 triangles in the wheel. The wheel can go on forever.

2. The Wheel of Theodorus in Problem 4.1 includes only the first 11 triangles in the wheel. The wheel can go on forever. A C E Applications Connections Extensions Applications 1. The hypotenuse of a right triangle is 15 centimeters long. One leg is 9 centimeters long. How long is the other leg? 2. The Wheel of Theodorus

More information

Perimeter, Area, Surface Area, & Volume

Perimeter, Area, Surface Area, & Volume Additional Options: Hide Multiple Choice Answers (Written Response) Open in Microsoft Word (add page breaks and/or edit questions) Generation Date: 11/25/2009 Generated By: Margaret Buell Copyright 2009

More information

5th Grade Units (as articulated through Diocese of Tucson ACE Collaborative Curriculum Design 2012) Unit 1: Mathematical Operations with Whole Numbers

5th Grade Units (as articulated through Diocese of Tucson ACE Collaborative Curriculum Design 2012) Unit 1: Mathematical Operations with Whole Numbers 5th Grade Units (as articulated through Diocese of Tucson ACE Collaborative Curriculum Design 2012) Unit 1: Mathematical Operations with Whole Numbers 5.OA.1. Use parentheses, brackets, or braces in numerical

More information

5th grade Math Teacher Companion Document

5th grade Math Teacher Companion Document 5th grade Math Teacher Companion Document Standard Beginning (1) Progressing (2) Proficient (3) Exceptional (4) Essential Idea Unable to perform the skill is even with able to perform the skill. Operations

More information

Extra Practice 1. Name Date. Lesson 1: Exploring Triangles

Extra Practice 1. Name Date. Lesson 1: Exploring Triangles Master 6.36 Extra Practice 1 Lesson 1: Exploring Triangles 1. Draw 3 different triangles. Measure and label the side lengths. Name each triangle as equilateral, isosceles, or scalene. 2. Name each triangle

More information

TEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster

TEACHER GUIDE INCLUDES. Tier 1 Tier 2 Tier 3 Correlations. Diagnostic Interviews for Every Common Core Cluster TEACHER GUIDE FOR THE COMMON CORE STATE STANDARDS FOR MATHEMATICS 3 INCLUDES Tier Tier Tier 3 Correlations Diagnostic Interviews for Every Common Core Cluster Tier Lessons, Tier Prerequisite Skills, and

More information

Investigate Understand Volume

Investigate Understand Volume LESSON 11.6 Progress to Algebra Investigate Understand Volume FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards 5.MD.C.3b Recognize volume as an attribute of solid figures

More information

Find The Volume Of A Right Rectangular Prism - Step-by-Step Lesson

Find The Volume Of A Right Rectangular Prism - Step-by-Step Lesson Find The Volume Of A Right Rectangular Prism - Step-by-Step Lesson Lesson 1 Rectangular Prism Problem A swimming pool is 10m long, 8m wide and 4m deep. Allen wants to know the volume of the swimming pool

More information

Surface Area and Volume

Surface Area and Volume Name: Chapter Date: Surface Area and Volume Practice 1 Building Solids Using Unit Cubes Find the number of unit cubes used to build each solid. Some of the cubes may be hidden. 1. 2. unit cubes 3. 4. unit

More information

GEOMETRY. slide #3. 6th Grade Math Unit 7. 6th Grade Unit 7: GEOMETRY. Name: Table of Contents. Area of Rectangles

GEOMETRY. slide #3. 6th Grade Math Unit 7. 6th Grade Unit 7: GEOMETRY. Name: Table of Contents. Area of Rectangles Name: 6th Grade Math Unit 7 GEOMETRY 2012 10 17 www.njctl.org 1 Table of Contents Area of Rectangles Area of Parallelograms Area of Triangles Area of Trapezoids Mixed Review Area of Irregular Figures Area

More information

Correlation of the Math Diagnosis and Intervention System and Grade 5 to the Michigan Mathematics Grade-Level Content Expectations

Correlation of the Math Diagnosis and Intervention System and Grade 5 to the Michigan Mathematics Grade-Level Content Expectations and and Correlation Strand 1: Number and Operations Understand division of whole numbers through 03. through 03. N.MR.05.01 N.MR.05.02 N.MR.05.03 Understand the meaning of division of whole numbers with

More information

A C E. Applications. Applications Connections Extensions

A C E. Applications. Applications Connections Extensions A C E Applications Connections Extensions Applications 1. Suppose that the polygons below were drawn on centimeter grid paper. How many 1-centimeter cubes (some cut in pieces) would it take to cover each

More information

6.G.1. SELECTED RESPONSE Select the correct answer. CONSTRUCTED RESPONSE. 3. What is the area of this shape?

6.G.1. SELECTED RESPONSE Select the correct answer. CONSTRUCTED RESPONSE. 3. What is the area of this shape? 6.G.1 SELECTED RESPONSE Select the correct answer. 3. What is the area of this shape? 1. What is the area of the triangle below? 5.65 cm 10.9375 cm 11.5 cm 1.875 cm 48 in 144 in 96 in 88 in 4. What is

More information

Surface Area and Volume

Surface Area and Volume 8 Surface Area and Volume 8. Three-Dimensional Figures 8. Surface Areas of Prisms 8. Surface Areas of Pyramids 8. Volumes of Rectangular Prisms I petitioned my owner for a doghouse with greater volume.

More information

Virginia - Mathematics Standards of Learning (2009): 6.10d Virginia - Mathematics Standards of Learning (2016): 5.8.a, 5.8.b,

Virginia - Mathematics Standards of Learning (2009): 6.10d Virginia - Mathematics Standards of Learning (2016): 5.8.a, 5.8.b, 1 Lesson Plan Volume of a Rectangular Prism Age group: 5 t h Grade, 6t h Grade Virginia - Mathematics Standards of Learning (2009): 6.10d Virginia - Mathematics Standards of Learning (2016): 5.8.a, 5.8.b,

More information

STAAR Category 3 Grade 8 Mathematics TEKS 8.6A/8.6B/8.7A. Student Activity 1

STAAR Category 3 Grade 8 Mathematics TEKS 8.6A/8.6B/8.7A. Student Activity 1 Student Activity 1 Work with your partner to answer the following problems. Problem 1: The bases of a cylinder are two congruent that are to each other. The perpendicular distance between the two bases

More information

5 th Grade Mathematics Scope and Sequence

5 th Grade Mathematics Scope and Sequence 5 th Grade Mathematics Scope and Sequence Domain Standard Quarter 1 Length: 44 Days Number and Operations in Base Ten 5.NBT.1 Recognize that in a multi-digit number, a digit in one place represents 10

More information

Academic Vocabulary: 5.MD.01 convert, measurement, measurement system, standard measurement unit, conversion factor

Academic Vocabulary: 5.MD.01 convert, measurement, measurement system, standard measurement unit, conversion factor Emphasis: Understanding Volume Students expand their understanding of geometric measurement and spatial structuring to include volume as an attribute of three-dimensional space. In this Emphasis students

More information

th Grade Math Curriculum Map

th Grade Math Curriculum Map Standards Quarter 1 Dates Taught (For Teacher Use) Number and Operations in Base Ten Understand the place value system (Major Work) 5.NBT.1 Recognize that in a multi-digit number, a digit in one place

More information

STRAND 1 NUMBER and OPERATIONS

STRAND 1 NUMBER and OPERATIONS STRAND 1 NUMBER and OPERATIONS Understand division of whole numbers N.MR.05.01 Understand the meaning of division of whole numbers with and without remainders; relate division to fractions and to repeated

More information

Volume of Rectangular Prisms and Pyramids. Use the formula. Substitute for l and w. Use the formula. Substitute for B and h.

Volume of Rectangular Prisms and Pyramids. Use the formula. Substitute for l and w. Use the formula. Substitute for B and h. ? LESSON 10.1 ESSENTIAL QUESTION Volume of Rectangular Prisms and Pyramids How do you find the volume of a rectangular prism and a rectangular pyramid? Finding the Volume of a Rectangular Prism Remember

More information

HUDSONVILLE PUBLIC SCHOOLS ELEMENTARY COURSE FRAMEWORK

HUDSONVILLE PUBLIC SCHOOLS ELEMENTARY COURSE FRAMEWORK HUDSONVILLE PUBLIC SCHOOLS ELEMENTARY COURSE FRAMEWORK COURSE/SUBJECT Fifth Grade Math UNIT PACING Names of units and approximate pacing LEARNING TARGETS Students will be able to... STANDARD Which Common

More information

Polygons. 5 sides 5 angles. pentagon. no no R89. Name

Polygons. 5 sides 5 angles. pentagon. no no R89. Name Lesson 11.1 Polygons A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. You can classify a polygon by the number of sides and the number of angles

More information

Geometry: Notes

Geometry: Notes Geometry: 11.5-11.8 Notes NAME 11.5 Volumes of Prisms and Cylinders Date: Define Vocabulary: volume Cavalieri s Principle density similar solids Examples: Finding Volumes of Prisms 1 Examples: Finding

More information

Volume of Cylinders. Volume of Cones. Example Find the volume of the cylinder. Round to the nearest tenth.

Volume of Cylinders. Volume of Cones. Example Find the volume of the cylinder. Round to the nearest tenth. Volume of Cylinders As with prisms, the area of the base of a cylinder tells the number of cubic units in one layer. The height tells how many layers there are in the cylinder. The volume V of a cylinder

More information

Measurement 1 PYTHAGOREAN THEOREM. The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of

Measurement 1 PYTHAGOREAN THEOREM. The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of Measurement 1 PYTHAGOREAN THEOREM Remember the Pythagorean Theorem: The area of the square on the hypotenuse of a right triangle is equal to the sum of the areas of the squares on the other two sides.

More information

Notes: Geometry (6.G.1 4)

Notes: Geometry (6.G.1 4) Perimeter Add up all the sides (P =s + s + s...) Square A = side 2 A = S 2 Perimeter The distance around a polygon. Rectangle w s L A = Length x Width A = lw Parallelogram A = Base x Height A = h h Triangle

More information

Number and Operation Standard #1. Divide multi- digit numbers; solve real- world and mathematical problems using arithmetic.

Number and Operation Standard #1. Divide multi- digit numbers; solve real- world and mathematical problems using arithmetic. Number and Operation Standard #1 MN Math Standards Vertical Alignment for Grade 5 Demonstrate mastery of multiplication and division basic facts; multiply multi- digit numbers; solve real- world and mathematical

More information

ENGAGE. Daily Routines Common Core. Essential Question How can you find the volume of rectangular prisms with fractional edge lengths?

ENGAGE. Daily Routines Common Core. Essential Question How can you find the volume of rectangular prisms with fractional edge lengths? LESSON.6 Algebra Volume of Rectangular Prisms FOCUS COHERENCE RIGOR LESSON AT A GLANCE F C R Focus: Common Core State Standards Learning Objective 6.G.A. Find the volume of a right rectangular prism with

More information

Module 5 Key Concepts

Module 5 Key Concepts Module 5 Key Concepts 1. You need to be able to find the area of rectangles, parallelograms, and triangles using their formulas. 4 in. 8 cm 6 cm 5 cm 4 cm 5 cm 9 in. 12 cm rectangle 2 sets of parallel

More information