# Assessment Management

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1 Areas of Rectangles Objective To reinforce students understanding of area concepts and units of area. 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 Multiply fractions and mixed numbers to find the area of a rectangle. [Operations and Computation Goal 5] Use a formula to calculate the areas of rectangles. [Measurement and Reference Frames Goal 2] Compare inch and centimeter measures for length and area. [Measurement and Reference Frames Goal 3] Key Activities Students review area concepts and the names and notations for common area units. They find areas of rectangles by counting and by applying an area formula. Ongoing Assessment: Informing Instruction See page 725. Ongoing Assessment: Recognizing Student Achievement Use an Exit Slip (Math Masters, page 414). [Measurement and Reference Frames Goal 2] Key Vocabulary area square units base height formula variable Materials Math Journal 2, pp. 304 and 305 Student Reference Book, p. 188 Study Link 9 3 Math Masters, p. 414 transparency of Math Masters, p. 436 Class Data Pad inch ruler slate roll of paper towels, wax paper, or aluminum foil (optional) Fraction Division Review Math Journal 2, p. 306 Student Reference Book, pp B Students use visual models and number stories to solve fraction problems. Math Boxes Math Journal 2, p. 307 Students practice and maintain skills through Math Box problems. Study Link Math Masters, p. 265 Students practice and maintain skills through Study Link activities. READINESS Comparing Perimeter and Area Math Masters, p. 266 per partnership: 2 six-sided dice, 36 centimeter cubes Students use centimeter grids to compare the perimeters and areas of rectangles. ENRICHMENT Comparing Perimeter and Area for Irregular Figures Math Masters, pp. 267 and different-colored pencils or markers scissors Students compare the perimeters and areas of irregular polygons. EXTRA PRACTICE 5-Minute Math 5-Minute Math, p. 212 Students calculate the areas of rectangles. EXTRA PRACTICE Area: Tiling and Using a Formula Math Masters, pp. 293A and 436 Students find the areas of rectangles with fractional units by tiling and using a formula. ELL SUPPORT Building a Math Word Bank Differentiation Handbook, p. 142 Students define and illustrate the terms length, height, base, and width. Advance Preparation For Part 1, display a set of unit squares. (See Planning Ahead, Lesson 9-2.) Use a roll of paper or foil to demonstrate carpet rolls for Math Journal 2, page 305, Problem 2. Teacher s Reference Manual, Grades 4 6 pp , 233, 234, Unit 9 Coordinates, Area, Volume, and Capacity

2 Getting Started Mental Math and Reflexes Have students write fractions as equivalent decimals and percents. Suggestions: 2_ ; 66 2_ 3 % 4_ 0.8; 80% 5 8_ 0.32; 32% 25 19_ 0.95; 95% 20 24_ 0.48; 48% 50 3_ ; 37.5% Math Message Read page 188 of the Student Reference Book, and write two important facts about area. Study Link 9 3 Follow-Up Have partners compare answers and resolve any differences. 1 Teaching the Lesson Math Message Follow-Up (Student Reference Book, p. 188) WHOLE-CLASS DISCUSSION Ask volunteers to share what they wrote about area. Use their responses and the display of common units of area to review basic area concepts. Emphasize the following points: Area is a measure of the surface, or region, inside a closed boundary. It is the number of whole and partial unit squares needed to cover the region without gaps or overlaps. NOTE It is more precise to talk about the area of a rectangular region, the area of a triangular region, and so on. However, it is customary to refer to area in terms of the figure that is the boundary: the area of a rectangle, the area of a triangle, and so on. Measurement Student Page Area is measured in square units. There are many units to choose from, and some choices make more sense than others. Call students attention to the classroom display of unit squares and to alternative ways of writing the units: square inch, sq in., or in 2 ; square meter, sq m, or m 2 ; and so on. Ask students to share the relationships they observe among the units for example, a square meter is larger than a square yard. There are 9 square feet in a square yard and 144 square inches in a square foot. A square inch is larger than a square centimeter. Area Area is a measure of the amount of surface inside a closed boundary. You can find the area by counting the number of squares of a certain size that cover the region inside the boundary. The squares must cover the entire region. They must not overlap, have any gaps, or extend outside the boundary. Sometimes a region cannot be covered by an exact number of squares. In that case, count the number of whole squares and fractions of squares that cover the region. Area is reported in square units. Units of area for small regions are square inches (in. 2 ), square feet (ft 2 ), square yards (yd 2 ), square centimeters (cm 2 ), and square meters (m 2 ). For large regions, square miles (mi 2 ) are used in the United States, while square kilometers (km 2 ) are used in other countries. You may report area using any of the square units. But you should choose a square unit that makes sense for the region being measured. Examples Area of the field is 6,000 square yards. Area 6,000 yd 2 The area of a field-hockey field is reported below in three different ways. 100 yd Area of the field is 54,000 square feet. Area 54,000 ft ft 1 in. 1 cm 1 cm 1 square centimeter (actual size) 1 in. 1 square inch (actual size) Area of the field is 7,776,000 square inches. Area 7,776,000 in. 2 3,600 in. 60 yd 180 ft 2,160 in. Although each of the measurements above is correct, reporting the area in square inches really doesn t give a good idea about the size of the field. It is hard to imagine 7,776,000 of anything! The International Space Station (ISS) orbits the Earth at an altitude of 250 miles. It is 356 feet wide and 290 feet long, and has an area of over 100,000 square feet. Student Reference Book, p. 188 Lesson 723

3 Date 1 cm 2 1 cm 1 cm A Student Page Time Areas of Rectangles base (or length) C height (or width) 1. Fill in the table. Draw rectangles D, E, and F on the grid. B Rectangle Base (length) Height (width) Area A 2 cm 5 cm 10 cm 2 B 4 cm 4 cm 16 cm 2 E D F Finding the Area of a Rectangle (Math Journal 2, p. 304) Ask volunteers to define the terms base and height. The term base is often used to mean both a side of a figure and the length of that side. The height of a rectangle is the length of a side adjacent to the base. Ask students to decide upon the phrasing of a common definition for these vocabulary terms. Record the student definitions on the Class Data Pad. Ask a volunteer to draw a rectangle on the board and label the base and height. C 2.5 cm 2.5 cm 6.25 cm 2 D 6 cm 2 cm 12 cm 2 E F 3.5 cm 4 cm 3 cm 3.5 cm 14 cm cm 2 height 2. Write a formula for finding the area of a rectangle. Area = base height (b h), or length width (l w) Math Journal 2, p _EMCS_S_G5_MJ2_U09_ indd 304 2/22/11 5:18 PM base In Fourth Grade Everyday Mathematics, students found the area of a rectangle by counting unit squares. Then they developed a formula for finding the area of a rectangle. Expect that students might use either method formula or counting squares to find the areas of the rectangles on journal page 304. With the counting method, some rectangles enclose partial grid squares, and students must count and add the full and partial squares to find areas. For example, rectangle C encloses 4 full squares (4 cm 2 ), 4 half-squares (4 1_ 2 = 2 cm2 ), and 1 quarter-square ( 1_ 4 cm2 ). Its total area is _ 4 = 61_ 4 cm2. 4 full squares 4 cm 2 4 half-squares 2 cm 2 Each half-square has an area of 1_ 2 cm2. +1 quarter-square 1_ 4 cm2 The quarter-square is 1_ 2 cm total area 6 1_ 4 cm2 long and 1_ 2 cm wide. 1 cm 2 1 cm 1 cm C Assign journal page 304, Problem 1. Circulate and assist. 724 Unit 9 Coordinates, Area, Volume, and Capacity

6 2 Ongoing Learning & Practice Fraction Division Review (Math Journal 2, p. 306; Student Reference Book, pp B) Study Link Master Name Date Time STUDY LINK More Area Problems 1. Rashid can paint 2 square feet of fence in 10 minutes. Fill in the missing parts to tell how long it will take him to paint a fence that is 6 feet high by 25 feet long. Rashid will be able to paint 150 sq ft of fence in. 12 hr 30 min (area) (hours/minutes) 2. Regina wants to cover one wall of her room with wallpaper. The wall is 9 feet high and 15 feet wide. There is a doorway in the wall that is 3 feet wide and 7 feet tall. How many square feet of wallpaper will she need to buy? 114 square feet Have students review information about fraction division problems on pages 80 80B of the Student Reference Book. Discuss the use of visual models and number stories. Then have students complete the journal page. Calculate the areas for the figures below yd yd 4 yd 4 yd 4 ft 2 ft 1 ft 9 ft 10 yd Math Boxes (Math Journal 2, p. 307) INDEPENDENT Mixed Practice Math Boxes in this lesson are paired with Math Boxes in Lesson 9-2. The skill in Problem 6 previews Unit 10 content. Writing/Reasoning Have students write a response to the following: Explain how you could determine the volume of the rectangular prism in Problem 2 by counting the unit cubes. Then write a number model for the formula you could use to find the volume. Sample answers: I could count the number of unit cubes in the bottom layer first. The width is 6 and the length of the base is 5. So there are 30 unit cubes in the bottom layer. The height is 3, so there are three layers of 30. The volume is 90 units 3. The formula is B h = V. The number model is (5 6) 3 = 90 units Area = yd 2 Area = ft 2 Fill in the missing lengths for the figures below cm cm _497_EMCS_B_MM_G5_U09_ indd 265 3,000 cm 2 50 cm 6 m 60 cm Math Masters, p ft 33 5 ft 33 m 198 m 2 33 m 6 m 3/23/11 1:09 PM Study Link (Math Masters, p. 265) Home Connection Students solve area problems. INDEPENDENT Teaching Master Name Date Time Comparing Perimeter and Area 3 Differentiation Options READINESS Comparing Perimeter and Area (Math Masters, p. 266) 5 15 Min Roll 2 six-sided dice. The numbers on top are the lengths of 2 sides of a rectangle. Draw the rectangle in the grid below. Record the perimeter and the area of the rectangle in the table. Use centimeter cubes to find other rectangles that have the same area, but different perimeters. Draw the rectangles and record their perimeters and areas in the table. Repeat until you have filled the table. You might need to roll the dice several times. Rectangle Perimeter Area A B C D E F To support students understanding of perimeter and area, have partners roll 2 six-sided dice to determine the dimensions of a rectangle. They draw a rectangle with those dimensions and find the perimeter and area of the rectangle. Partners then find other rectangles with the same area, but different perimeters. They repeat this process until the table on page 266 is completed. Discuss what conclusions can be drawn from the table. Sample answers: Different perimeters can have the same area; the dimensions are factor pairs for the area. Math Masters, p _497_EMCS_B_MM_G5_U09_ indd 266 3/23/11 1:09 PM Lesson 727

7 Teaching Master py g g p Name Date Time Perimeter and Area of Irregular Figures Cut 6 rectangles that are 6 columns by 7 rows from the centimeter grid paper. Record the area and the perimeter of one of these rectangles in Problem 1. Divide each rectangle by using 3 different colored pencils to shade three connected parts with the same number of boxes. The parts must follow the grid, and the squares must be connected by sides. Divide each rectangle in a different way. 1. For a rectangle that is 6 cm by 7 cm: Area = 42 cm 2 Perimeter = _497_EMCS_B_MM_G5_U09_ indd Record the perimeters for the divisions of the 6 rectangles in the table. Rectangle What is the area for each of the parts? Perimeters Part 1 Part 2 Part 3 4. What is the range of the perimeters for each of the parts? 5. a. Describe one relationship between perimeter and area. 26 cm 14 square centimeters Sample answer: Shapes with the same area can have different perimeters. b. Is the relationship the same for rectangles and irregular figures? Explain. Math Masters, p /23/11 1:09 PM ENRICHMENT Comparing Perimeter and Area for Irregular Figures (Math Masters, pp. 267 and 436) Min To apply students understanding of perimeter and area to irregular figures, have partners divide rectangles and compare the relationship between perimeter and area. When students have finished, have them share the parts they cut from their rectangles and discuss questions such as the following: Can you use the area of a figure to predict the perimeter of that figure? No Can you use the perimeter of a figure to predict the area of that figure? No Guide students to conclude that perimeter and area are independent measures. EXTRA PRACTICE 5-Minute Math SMALL-GROUP 5 15 Min To offer students more experience with calculating the area of rectangles, see 5-Minute Math, page 212. Name Date Time Area: Tiling and Using a Formula For each rectangle below, cut out a rectangle from the centimeter grid paper (Math Masters, page 436) that has the same dimensions. Follow the directions for each problem. 1. The length of the base of the rectangle is 6 cm and the height is 2 1_ 2 cm. a. Tape the centimeter grid over the rectangle, and then use the counting method to find the area of the rectangle. 15 cm 2 b. Use the formula to write an open number model that can be used to find the area. c. Area = 15 cm2 Teaching Master 6 2 1_ 2 = A EXTRA PRACTICE Area: Tiling and Using a Formula (Math Masters, pp. 293A and 436) Min To find the area, students use grid paper to tile rectangles that have fractional side lengths. They also use the formula for the area of a rectangle to show that both methods produce the same result. ELL SUPPORT SMALL-GROUP Building a Math Word Bank (Differentiation Handbook, p. 142) 5 15 Min 2. The length of the base of the rectangle below is 12 1_ 2 cm and the height is 2 1_ 2 cm. a. Tape the centimeter grid over the rectangle, and then use the counting method to find the area of the rectangle. 31 1_ 4 cm 2 b. Use the formula to find the area. 31 1_ 4 cm 2 3. a. Use the formula to find the area of the rectangle below. 15 3_ 4 cm 2 b. Tape the centimeter grid over the rectangle, and then use the counting method to find the area of the rectangle. 15 3_ 4 cm 2 1 1_ 2 cm py g g p To provide language support for area, have students use the Word Bank Template found on Differentiation Handbook, page 142. Ask students to write the terms length, height, base, and width; draw pictures relating to each term; and write other related words. See the Differentiation Handbook for more information. 10 1_ 2 cm c. Explain why the formula and the counting method produce the same area. Sample answer: Each row has the same number of squares. So, multiplying the base by the height gives you the number of squares there are in all. Counting the squares gives you the same area. Math Masters, p. 293A 293A_EMCS_B_MM_G5_U09_ indd 293A 3/22/11 9:31 AM 728 Unit 9 Coordinates, Area, Volume, and Capacity

8 Name Date Time Area: Tiling and Using a Formula For each rectangle below, cut out a rectangle from the centimeter grid paper (Math Masters, page 436) that has the same dimensions. Follow the directions for each problem. 1. The length of the base of the rectangle is 6 cm and the height is 2 1 _ 2 cm. a. Tape the centimeter grid over the rectangle, and then use the counting method to find the area of the rectangle. cm 2 b. Use the formula to write an open number model that can be used to find the area. c. Area = cm 2 2. The length of the base of the rectangle below is 12 1 _ 2 cm and the height is 2 1 _ 2 cm. a. Tape the centimeter grid over the rectangle, and then use the counting method to find the area of the rectangle. cm 2 b. Use the formula to find the area. cm 2 3. a. Use the formula to find the area of the rectangle below. cm 2 b. Tape the centimeter grid over the rectangle, and then use the counting method to find the area of the rectangle. cm _ 2 cm 1 1 _ 2 cm c. Explain why the formula and the counting method produce the same area. Copyright Wright Group/McGraw-Hill 293A

### 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

### 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

### 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.

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

Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### 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

### 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

### 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

### 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

### 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

### 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

### 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.

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### Perimeter, 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

### 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 What Do Units Tell You About What Is Being Measured? Teacher Materials

Lesson 1 Perimeter, Area and Volume What Do Units Tell You About What Is Being Measured? Teacher Materials Perimeter: The Line Club T1: Before class: Copy one set of student pages for each student in the

### The Partial-Quotients Division Algorithm, Part 1

The Partial-Quotients Division Algorithm, Part 1 Objectives To introduce and provide practice with a low-stress division algorithm for 1-digit divisors. www.everydaymathonline.com epresentations etoolkit

### Buying at the Stock-Up Sale

Buying at the Stock-Up Sale Objective To guide children as they multiply using mental math and the partial-products algorithm. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### 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

### 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

### 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

### Calculator Practice: Computation with Fractions

Calculator Practice: Computation with Fractions Objectives To provide practice adding fractions with unlike denominators and using a calculator to solve fraction problems. www.everydaymathonline.com epresentations

### 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

### Lesson 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

### 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

### 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

### 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

### 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

### 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.

### 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

### 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

### 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

### 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

### 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

### WHAT IS AREA? CFE 3319V

WHAT IS AREA? CFE 3319V OPEN CAPTIONED ALLIED VIDEO CORPORATION 1992 Grade Levels: 5-9 17 minutes DESCRIPTION What is area? Lesson One defines and clarifies what area means and also teaches the concept

### 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

### Georgia 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 Student-Centered MATHEMATICS Grades 3-5 by John Van de Walle and LouAnn Lovin.

The Addition/Subtraction Facts Table Objectives To provide experience exploring patterns in sums of two dice; and to introduce the Addition/Subtraction Facts Table. www.everydaymathonline.com epresentations

### Grade 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

### 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

### 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

### Assessment Management

Facts Using Doubles Objective To provide opportunities for children to explore and practice doubles-plus-1 and doubles-plus-2 facts, as well as review strategies for solving other addition facts. www.everydaymathonline.com

### 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

### Grade 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

### The Length-of-Day Project

The Length-of-Day Project Objectives To review telling time and finding elapsed time; and to introduce the Length-of-Day project. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### Pattern-Block Fractions

Pattern-lock Fractions Objective To guide students as they find fractional parts of polygonal regions. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### Multiplication Fact Power and Shortcuts

Multiplication Fact Power and Shortcuts Objectives To discuss multiplication facts and the importance of fact power; and to review fact shortcuts. www.everydaymathonline.com epresentations etoolkit Algorithms

### 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

### 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

### 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

### 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

### 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

### Formulas 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

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