# Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms.

Save this PDF as:

Size: px
Start display at page:

Download "Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms."

## Transcription

1 Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards Curriculum Focal Points Interactive Teacher s Lesson Guide Teaching the Lesson Ongoing Learning & Practice Differentiation Options Key Concepts and Skills Use formulas (l w h or B h) to calculate the volumes of rectangular prisms. [Measurement and Reference Frames Goal 2] Define the and of a rectangular prism. [Geometry Goal 2] Explore the properties of rectangular prisms. [Geometry Goal 2] Write number sentences with variables to model volume problems. [Patterns, Functions, and Algebra Goal 2] Key Activities Students discuss the difference between volume and area. They define and for a rectangular prism and develop a formula for the volume of a rectangular prism. Students use a formula to find volumes and to model a rectangular prism with a given volume. Ongoing Assessment: Informing Instruction See page 751. Key Vocabulary volume cubic unit rectangular prism face (of a rectangular prism) (of a rectangular prism) Associative Property of Multiplication Materials Math Journal 2, pp. 321, 322, and Activity Sheet 8 Student Reference Book, pp Study Link 9 7 scissors transparent tape 36 centimeter cubes slate Math Boxes 9 8 Math Journal 2, p. 323 Students practice and maintain skills through Math Box problems. Ongoing Assessment: Recognizing Student Achievement Use Math Boxes, Problem 3. [Number and Numeration Goal 5] Study Link 9 8 Math Masters, p. 279 Students practice and maintain skills through Study Link activities. READINESS Analyzing Prism Nets for Cubes Math Masters, pp. 280 and 429 Students investigate solid geometry concepts using cube diagrams. ENRICHMENT Finding the Volume of One Stick-On Note Math Masters, p. 281 per partnership: one stick-on note, pad of unused stick-on notes, centimeter cube Students compare the volume of a single stick-on note to the volume of a centimeter cube. EXTRA PRACTICE 5-Minute Math 5-Minute Math, pp. 52 and 214 Students calculate the volumes of prisms. Advance Preparation For Part 1, make models of the open boxes on Activity Sheet 8 to illustrate where to fold and where to tape the patterns for Boxes A and B. Have students save the boxes for use in Project 9. Teacher s Reference Manual, Grades 4 6 pp , Lesson

2 Getting Started Mental Math and Reflexes Students practice rounding numbers. Have them write their answers on their slates. Suggestions: Round 654 to the nearest hundred. 700 Round 4, to the nearest whole number. 4,655 Round to the nearest tenth Round to the nearest hundredth Round 67% of 100 to the nearest ten. 70 Round to the nearest tenth. 8.0 Mathematical Practices SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8 Content Standards 5.NBT.4, 5.NBT.7, 5.MD.3a, 5.MD.3b, 5.MD.4, 5.MD.5a, 5.MD.5b Math Message Write 2 questions that can be answered by reading Student Reference Book, page 195. Study Link 9 7 Follow-Up Ask volunteers to present the area formulas for a triangle and for a parallelogram and the number models they used to solve the Study Link Problems. Project Note For more practice finding the volume of rectangular prisms, see Project 9: Adding Volumes of Solid Figures. Volume and Capacity Volume The volume of a solid object such as a brick or a ball is a measure of how much space the object takes up. The volume of a container such as a freezer is a measure of how much the container will hold. Volume is measured in cubic units, such as cubic inches (in. 3 ), cubic feet (ft 3 ), and cubic centimeters (cm 3 ). It is easy to find the volume of an object that is shaped like a cube or other rectangular prism. For example, picture a container in the shape of a 10-centimeter cube (that is, a cube that is 10 cm by 10 cm by 10 cm). It can be filled with exactly 1,000 centimeter cubes. Therefore, the volume of a 10-centimeter cube is 1,000 cubic centimeters (1,000 cm 3 ). To find the volume of a rectangular prism, all you need to know are the length and width of its and its. The length, width, and are called the dimensions of the prism. You can also find the volume of another solid, such as a triangular prism, pyramid, cone, or sphere, by measuring its dimensions. It is even possible to find the volume of an irregular object such as a rock or your own body. Capacity We often measure things that can be poured into or out of containers such as liquids, grains, salt, and so on. The volume of a container that is filled with a liquid or a solid that can be poured is often called its capacity. Capacity is usually measured in units such as gallons, quarts, pints, cups, fluid ounces, liters, and milliliters. The tables at the right compare different units of capacity. These units of capacity are not cubic units, but liters and milliliters are easily converted to cubic units: 1 milliter = 1 cm 3 1 liter = 1,000 cm 3 1 cm 3 1,000 cm 3 Measurement length U.S. Customary Units 1 gallon (gal) = 4 quarts (qt) 1 gallon = 2 half-gallons 1 half-gallon = 2 quarts 1 quart = 2 pints (pt) 1 pint = 2 cups (c) 1 cup = 8 fluid ounces (fl oz) 1 pint = 16 fluid ounces 1 quart = 32 fluid ounces 1 half-gallon = 64 fluid ounces 1 gallon = 128 fluid ounces Metric Units width The dimensions of a rectangular prism 1 liter (L) = 1,000 milliliters (ml) 1 milliliter = 1_ 1,000 liter 1 liter = 1,000 cubic centimeters 1 Teaching the Lesson Math Message Follow-Up (Student Reference Book, p. 195) WHOLE-CLASS DISCUSSION Ask students to pose their questions for the class. Use the questions and responses to discuss the difference between area and volume. To support English language learners, write the key ideas on the board. Emphasize the following points: Shapes that are 2-dimensional are flat. The surfaces they enclose take up a certain amount of area, but they do not have any thickness, so they do not take up any space. Shapes that are 3-dimensional have length, width, and thickness, so they enclose a certain amount of space. The amount of surface inside a 2-dimensional shape is the area of the shape. Area is measured in square units, such as square inches, square feet, square centimeters, and so on. The amount of space enclosed by a 3-dimensional shape is the volume of the shape. Volume is measured in cubic units, such as cubic inches, cubic feet, cubic centimeters, and so on. The symbol used to indicate square units is the abbreviation of the unit name with a superscript 2, for example, in 2, ft 2, cm 2, m 2, and so on. For cubic units, the symbol is the abbreviation of the unit name with a superscript 3, for example, in 3, ft 3, cm 3, m 3, and so on. To support English language learners, discuss the meanings of the word volume. Students might have heard the word used in contexts involving sound level or a book. Emphasize that volume is also used in the mathematical context involving 3-dimensional shapes. ELL 1 milliliter = 1 cubic centimeter Student Reference Book, p _214_EMCS_S_SRB_G5_MEA_ indd 195 3/8/11 5:00 PM 748 Unit 9 Coordinates, Area, Volume, and Capacity

6 Building a Rectangular Prism with a Given Volume PARTNER Algebraic Thinking Ask students to use centimeter cubes to build the shape of a rectangular prism with a volume of 24 cm 3. Ask: What are the possible areas for the (B) and the length of the (h) from that? B = 24 cm 2, h = 1 cm; B = 12 cm 2, h = 2 cm; B = 8 cm 2, h = 3 cm; B = 6 cm 2, h = 4 cm; B = 4 cm 2, h = 6 cm; B = 3 cm 2, h = 8 cm; B = 2 cm 2, h = 12 cm; B = 1 cm 2, h = 24 cm Ask students to use the cubes to make a rectangular prism that has a length of 3 cm, a width of 2 cm ( of 6 cm 2 ), and a of 4 cm. Explain that the volume can be found as follows: V = (l w) h = (3 2) 4 Now ask students to carefully rotate their rectangular prism so that it now has a length of 4 cm, a width of 2 cm ( of 8 cm 2 ), and a of 3 cm. Explain that the volume can be found as follows: V = (l w) h = 3 (2 4) Ask: What do the two rectangular prisms have in common? Sample answer: The dimensions of the prisms have the same three measures, and each has a volume of 24 cm 3. Guide students to conclude that if the measures of the three dimensions of two rectangular prisms are the same, the volumes are the same. Then point out that this is an illustration of the Associative Property of Multiplication, which means that changing the grouping of factors does not change the product. So, (3 º 2) º 4 = 3 º (2 º 4) 6 º 4 = 3 º 8 24 = 24 Have students repeat this activity by comparing the volumes of two rectangular prisms that have dimensions of 2 cm, 3 cm, and 5 cm, but different s. Finding the Volumes of Rectangular Prisms (Math Journal 2, p. 322) INDEPENDENT Algebraic Thinking Have students complete journal page 322 by calculating the volume of six rectangular prisms from the given dimensions. 750B Unit 9 Coordinates, Area, Volume, and Capacity

7 Ongoing Assessment: Informing Instruction Watch for students who are not correctly matching the given dimensions to the formula variables. Have them make and complete a table for the problems on journal page 322, such as the following: Problem V B h 1 80 in cm cm in ft cm Ongoing Learning & Practice Date Solve. Math Boxes a b Find the least common denominator for the fraction pairs. a. 2_ 7 and 1_ 3 21 b. 5_ 8 and 4_ c. 3_ 8 and 4_ d. 2_ 5 and 2_ 15 3 e. 4_ 16 and 6_ f. 5_ 15 and 2_ c d Use the graph to answer the questions. 124 a. Which day had the greatest attendance? Friday Time b. What was the total attendance for the five-day period? 90 Math Journal 2, p _EMCS_S_G5_MJ2_U09_ indd Complete the What s My Rule? table, and state the rule Rule Elena received the following scores on math tests: 80, 85, 76, 70, 87, 80, 90, 80, and 90. Find the following landmarks: maximum: 90 minimum: 70 range: 20 mode: 80 mean: 82 Number of Tickets Sold in out ,500 2, , Movie Theater Attendance M Tu W Th F Day of the Week 2/22/11 5:18 PM Math Boxes 9 8 (Math Journal 2, p. 323) INDEPENDENT Mixed Practice Math Boxes in this lesson are paired with Math Boxes in Lesson The skills in Problems 2 and 5 preview Unit 10 content. Writing/Reasoning Have students write a response to the following: Explain the strategy you used to solve Problem 1c and explain your reasoning. Answers vary. Ongoing Assessment: Recognizing Student Achievement Math Boxes Problem 3 Use Math Boxes, Problem 3 to assess students abilities to find common denominators. Students are making adequate progress if they correctly identify the least common denominators. [Number and Numeration Goal 5] Study Link 9 8 (Math Masters, p. 279) INDEPENDENT Name Date Time STUDY LINK 9 8 Volumes of Cube Structures The structures below are made up of centimeter cubes nd layer 1st layer Area of = cm 2 Volume of first layer = cm 3 45 Volume of entire cube structure = cm 3 Study Link Master 1st layer st layer 8 Area of = cm Volume of first layer = cm Volume of entire cube structure = cm 3 Home Connection Students find the volume of cube structures. 9 Area of = cm 2 Volume of first layer = cm 3 9 Volume of entire 27 cube structure = cm 3 1st layer Area of = cm 2 Volume of first layer = cm 3 Volume of entire 56 cube structure = cm 3 Practice 3_ 5. 3_ 5 1_ = ,840 / 4 = 3, = 8. 4_ 5 5_ 6 = 4_ 960 6, or 2_ 3 Math Masters, p _497_EMCS_B_MM_G5_U09_ indd 279 2/22/11 6:06 PM Lesson

### Volume 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

### Volume of Pyramids and Cones

Volume of Pyramids and Cones Objective To provide experiences with investigating the relationships between the volumes of geometric solids. www.everydaymathonline.com epresentations etoolkit Algorithms

### Constructing Geometric Solids

Constructing Geometric Solids www.everydaymathonline.com Objectives To provide practice identifying geometric solids given their properties; and to guide the construction of polyhedrons. epresentations

### Assessment 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

### Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Surface Area. Assessment Management

Surface Area Objective To introduce finding the surface area of prisms, cylinders, and pyramids. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Capacity. Assessment Management

Capacity Objective To review units of capacity. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards

### Family 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

### Objective To guide exploration of the connection between reflections and line symmetry. Assessment Management

Line Symmetry Objective To guide exploration of the connection between reflections and line symmetry. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### The Mean and the Median

The Mean and the Median Objectives To introduce the mean of a set of data; and to review the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Subtracting Mixed Numbers

Subtracting Mixed Numbers Objective To develop subtraction concepts related to mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Assessment 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

### Multiplication Arrays

Multiplication Arrays Objective To provide opportunities to use arrays, multiplication/ division diagrams, and number models to represent multiplication number stories. www.everydaymathonline.com epresentations

### Packaging Engineering

Project Packaging Engineering Objectives To use nets to represent and calculate the surface area of 3-dimensional shapes; and to apply concepts of area, surface area, and volume to design a package for

### 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.

### Formula for the Area of a Triangle Objective To guide the development and use of a formula for the area of a triangle.

Formula for the rea of a Triangle Objective To guide the development and use of a formula for the area of a triangle. www.everydaymathonline.com epresentations etoolkit lgorithms Practice EM Facts Workshop

### Measuring with Yards and Meters

Measuring with Yards and Meters Objectives To provide review for the concept of nonstandard units of measure; and to introduce yard and meter. www.everydaymathonline.com epresentations etoolkit Algorithms

### Exploring Length, Area, and Attributes

Explorations Exploring Length, Area, and Attributes Objectives To guide children as they measure lengths and distances to the nearest inch and centimeter, explore area by tiling surfaces, and sort attribute

### Fractions and Decimals

Fractions and Decimals Objectives To provide experience with renaming fractions as decimals and decimals as fractions; and to develop an understanding of the relationship between fractions and division.

### VOLUME 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:

### Place Value in Whole Numbers

Place Value in Whole Numbers Objectives To provide practice identifying values of digits in numbers up to one billion; and to provide practice reading and writing numbers up to one billion. www.everydaymathonline.com

### The Distributive Property

The Distributive Property Objectives To recognize the general patterns used to write the distributive property; and to mentally compute products using distributive strategies. www.everydaymathonline.com

### Danville District No. 118 Mathematics Fifth Grade Curriculum and Scope and Sequence First Quarter

Danville District No. 118 Mathematics Fifth Grade Curriculum and Scope and Sequence First Quarter Common Core Operations and Algebraic Thinking (5.OA) Common Core Number and Operations in Base Ten (5.NBT)

### A Coin-Toss Experiment

A Coin-Toss Experiment Objective To guide children as they develop intuition equally likely events. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Reading and Writing Small Numbers

Reading Writing Small Numbers Objective To read write small numbers in stard exped notations wwweverydaymathonlinecom epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### 5.2. Nets and Solids LESSON. Vocabulary. Explore. Materials

LESSON 5.2 Nets and Solids A net is a flat figure that can be folded to form a closed, three- dimensional object. This type of object is called a geometric solid. Inv 1 Use a Net 229 Inv 2 Use Nets to

### Comparing Fractions Objective To provide practice ordering sets of fractions.

Comparing Fractions Objective To provide practice ordering sets of fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Unit 6 Measurement and Data: Area and Volume

Unit 6 Measurement and Data: Area and Volume Introduction In this unit, students will learn about area and volume. As they find the areas of rectangles and shapes made from rectangles, students will need

### MD5-26 Stacking Blocks Pages 115 116

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.

### Objective To introduce the concept of square roots and the use of the square-root key on a calculator. Assessment Management

Unsquaring Numbers Objective To introduce the concept of square roots and the use of the square-root key on a calculator. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms.

Simplifying Expressions: Combining Like Terms Objective To simplify algebraic expressions by combining like terms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)

Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base

### Multiplication Facts Practice

Multiplication Facts Practice Objectives To introduce the 5-facts test; and to provide practice with multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### Review: Addition and Subtraction of Positive and Negative Numbers

Review: Addition and Subtraction of Positive and Negative Numbers Objective To practice adding and subtracting positive and negative numbers. www.everydaymathonline.com epresentations etoolkit Algorithms

### Converting Units of Measure Measurement

Converting Units of Measure Measurement Outcome (lesson objective) Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual

### Grade 3 Math Expressions Vocabulary Words

Grade 3 Math Expressions Vocabulary Words Unit 1, Book 1 Place Value and Multi-Digit Addition and Subtraction OSPI words not used in this unit: add, addition, number, more than, subtract, subtraction,

### Baseball Multiplication Objective To practice multiplication facts.

Baseball Multiplication Objective To practice multiplication facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common

### 4th Grade Math Vocabulary Resources

4th Grade Math Vocabulary Resources 4th Grade Math Vocabulary Resources contains two resources to promote student independence, develop math vocabulary, and support reading and writing in mathematics.

### Objective To guide the development and use of a rule for generating equivalent fractions. Family Letters. Assessment Management

Equivalent Fractions Objective To guide the development and use of a rule for generating equivalent fractions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Comparing and Ordering Fractions

Comparing and Ordering Fractions Objectives To review equivalent fractions; and to provide experience with comparing and ordering fractions. www.everydaymathonline.com epresentations etoolkit Algorithms

### Hidden Treasure: A Coordinate Game. Assessment Management. Matching Number Stories to Graphs

Hidden Treasure: A Coordinate Game Objective To reinforce students understanding of coordinate grid structures and vocabulary. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Multiplication and Division Fact Families

Multiplication and Division Fact Families Objectives To review fact families and the Multiplication/Division Facts Table; and to guide children as they practice multiplication and division facts. www.everydaymathonline.com

### Measuring with a Ruler

Measuring with a Ruler Objective To guide children as they measure line segments to the nearest inch, _ inch, _ inch, centimeter, _ centimeter, and millimeter. www.everydaymathonline.com epresentations

### RIT scores between 191 and 200

Measures of Academic Progress for Mathematics RIT scores between 191 and 200 Number Sense and Operations Whole Numbers Solve simple addition word problems Find and extend patterns Demonstrate the associative,

### Parentheses in Number Sentences

Parentheses in Number Sentences Objective To review the use of parentheses. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Factor Trees. Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers.

Factor Trees Objective To provide experiences with finding the greatest common factor and the least common multiple of two numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### Perimeter, Area, and Volume

Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all

### Relationships Between Quantities

Relationships Between Quantities MODULE 1? ESSENTIAL QUESTION How do you calculate when the numbers are measurements? CALIFORNIA COMMON CORE LESSON 1.1 Precision and Significant Digits N.Q.3 LESSON 1.2

### Properties of Polygons Objective To explore the geometric properties of polygons.

Properties of Polygons Objective To explore the geometric properties of polygons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### The Median. Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data.

The Median Objectives To review how to display a set of data with a line plot; and to review how to find the median of a set of data. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### Grade 5 Math Curriculum Guide

Grade 5 Math Curriculum Guide Lesson 1 1 st Nine Weeks Unit 1: Number and Operations in Base Ten Understand Place Value 5.NBT.1. Recognize that in a multi-digit number, a digit in one place represents

### Surface Area and Volume

1 Area Surface Area and Volume 8 th Grade 10 days by Jackie Gerwitz-Dunn and Linda Kelly 2 What do you want the students to understand at the end of this lesson? The students should be able to distinguish

### Addition and Subtraction of Decimals Objective To add, subtract, and round decimals.

Addition and Subtraction of Decimals Objective To add, subtract, and round decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### ACTIVITY: Finding a Formula Experimentally. Work with a partner. Use a paper cup that is shaped like a cone.

8. Volumes of Cones How can you find the volume of a cone? You already know how the volume of a pyramid relates to the volume of a prism. In this activity, you will discover how the volume of a cone relates

### Mathematics Lesson Plan for Seventh Grade

Mathematics Lesson Plan for Seventh Grade For the Lesson on Friday, January 24, 2003 At the Harriet Tubman Middle School, Portland, Oregon Instructor: Akihiko Takahashi 1. Title of the Lesson: Which container

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Inequalities. Assessment Management. Dividing Decimals by Decimals: Part 1

Inequalities Objectives To find and represent all the values that make an inequality in one variable true; and to represent real-world situations with inequalities. www.everydaymathonline.com epresentations

### Name: Date: Geometry Honors Solid Geometry. Name: Teacher: Pd:

Name: Date: Geometry Honors 2013-2014 Solid Geometry Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the Volume of Prisms and Cylinders Pgs: 1-6 HW: Pgs: 7-10 DAY 2: SWBAT: Calculate the Volume

### Prisms and Cylinders 3.1. In Investigation 2, you found the volume of rectangular prisms by filling. Filling Fancy Boxes

! s and Cylinders In Investigation 2, you found the volume of rectangular prisms by filling the prism with cubes. The number of cubes in the bottom layer is the same as the area of the rectangular base

### Area of Parallelograms (pages 546 549)

A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular

### The Lattice Method of Multiplication

The Lattice Method of Multiplication Objective To review and provide practice with the lattice method for multiplication of whole numbers and decimals. www.everydaymathonline.com epresentations etoolkit

### Review: Comparing Fractions Objectives To review the use of equivalent fractions

Review: Comparing Fractions Objectives To review the use of equivalent fractions in comparisons. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

Subtraction from Addition Objectives To review the and 1 shortcuts; and to guide children to identify the subtraction facts related to given addition facts. www.everydaymathonline.com epresentations etoolkit

### 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B. Whole Numbers

Whole Numbers Scope and Sequence for Primary Mathematics, U.S. Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced or specifically addressed. Understand

### MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.

MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units

### Name: Date: Geometry Solid Geometry. Name: Teacher: Pd:

Name: Date: Geometry 2012-2013 Solid Geometry Name: Teacher: Pd: Table of Contents DAY 1: SWBAT: Calculate the Volume of Prisms and Cylinders Pgs: 1-7 HW: Pgs: 8-10 DAY 2: SWBAT: Calculate the Volume of

### Sunrise-Sunset Line Graphs

Sunrise-Sunset Line Graphs Objectives To guide children as they analyze data from the sunrise-sunset routine; and to demonstrate how to make and read a line graph. www.everydaymathonline.com epresentations

### Multiplication of Mixed Numbers

Multiplication of Mixed Numbers Objective To introduce multiplication with mixed numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Multiplying Fractions by a Whole Number

Grade 4 Mathematics, Quarter 3, Unit 3.1 Multiplying Fractions by a Whole Number Overview Number of Instructional Days: 15 (1 day = 45 60 minutes) Content to be Learned Apply understanding of operations

### Change Number Stories Objective To guide children as they use change diagrams to help solve change number stories.

Number Stories Objective To guide children as they use change diagrams to help solve change number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Review of Basic Fraction Concepts

Review of asic Fraction Concepts Objective To review fractions as parts of a whole (ONE), fractions on number lines, and uses of fractions. www.everydaymathonline.com epresentations etoolkit lgorithms

### Subtraction Strategies

Subtraction Strategies Objective To review solution strategies for subtraction of multidigit numbers. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Assessment Management

Weight Objectives To review grams and ounces as units of mass and weight; and to guide the estimation and measurement of weight in grams and ounces. www.everydaymathonline.com epresentations etoolkit Algorithms

### Family Letters. Assessment Management. Playing Target: 50

The Partial-Sums Algorithm Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for - and -digit numbers. www.everydaymathonline.com

### Height. Right Prism. Dates, assignments, and quizzes subject to change without advance notice.

Name: Period GL UNIT 11: SOLIDS I can define, identify and illustrate the following terms: Face Isometric View Net Edge Polyhedron Volume Vertex Cylinder Hemisphere Cone Cross section Height Pyramid Prism

### Middle Value (Median) of a Set of Data

Middle Value (Median) of a Set of Data Objectives To guide children as they sort numerical data and arrange data in ascending or descending order, and as they find the middle value (median) for a set of

### Geo - CH10 Practice Test

Geo - H10 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. lassify the figure. Name the vertices, edges, and base. a. triangular pyramid vertices:,,,,

### Section 1.7 Dimensional Analysis

Dimensional Analysis Dimensional Analysis Many times it is necessary to convert a measurement made in one unit to an equivalent measurement in another unit. Sometimes this conversion is between two units

### *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles.

Students: 1. Students understand and compute volumes and areas of simple objects. *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles. Review

### Subtraction of Multidigit Numbers

Subtraction of Multidigit Numbers Objectives To review the trade-first and counting-up methods, and to introduce the partial-differences method of solving multidigit subtraction problems; and to provide

### Multiplying Fractions by Whole Numbers

Multiplying Fractions by Whole Numbers Objective To apply and extend previous understandings of multiplication to multiply a fraction by a whole number. www.everydaymathonline.com epresentations etoolkit

### CARMEL CLAY SCHOOLS MATHEMATICS CURRICULUM

GRADE 4 Standard 1 Number Sense Students understand the place value of whole numbers and decimals to two decimal places and how whole numbers 1 and decimals relate to simple fractions. 4.1.1 Read and write

### Family Letters. Assessment Management. Math Boxes 1 4

Objective To calculate and compare the median and mean of a data set. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### Reading and Writing Large Numbers

Reading and Writing Large Numbers Objective To read and write large numbers in standard, expanded, and number-and-word notations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### Activity Set 4. Trainer Guide

Geometry and Measurement of Solid Figures Activity Set 4 Trainer Guide Mid_SGe_04_TG Copyright by the McGraw-Hill Companies McGraw-Hill Professional Development GEOMETRY AND MEASUREMENT OF SOLID FIGURES

### 12-8 Congruent and Similar Solids

Determine whether each pair of solids is similar, congruent, or neither. If the solids are similar, state the scale factor. 3. Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio

### FCAT Math Vocabulary

FCAT Math Vocabulary The terms defined in this glossary pertain to the Sunshine State Standards in mathematics for grades 3 5 and the content assessed on FCAT in mathematics. acute angle an angle that

### CC 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

### Multiplication Facts Survey

Multiplication Facts Survey Objective To guide children as they determine which multiplication facts they still need to learn. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### 3 rd 5 th Grade Math Core Curriculum Anna McDonald School

3 rd 5 th Grade Math Core Curriculum Anna McDonald School Our core math curriculum is only as strong and reliable as its implementation. Ensuring the goals of our curriculum are met in each classroom,

### Line Plots. Objective To provide experience creating and interpreting line plots with fractional units. Assessment Management

Line Plots Objective To provide experience creating and interpreting line plots with fractional units. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### CONNECT: Volume, Surface Area

CONNECT: Volume, Surface Area 1. VOLUMES OF SOLIDS A solid is a three-dimensional (3D) object, that is, it has length, width and height. One of these dimensions is sometimes called thickness or depth.

### Exponential Notation for Powers of 10

Expntial Notation for Objective To introduce number-and-word notation for large numbers and expntial notation for powers of 10. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Measurement. Volume It All Stacks Up. Activity:

Measurement Activity: TEKS: Overview: Materials: Grouping: Time: Volume It All Stacks Up (7.9) Measurement. The student solves application problems involving estimation and measurement. The student is

### Geometry 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