# Family Letters. Assessment Management. Playing Fraction Of

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 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. 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 Find the area of a rectangle. [Measurement and Reference Frames Goal 2] Develop a formula for calculating the area of a parallelogram. [Measurement and Reference Frames Goal 2] Calculate perimeter. [Measurement and Reference Frames Goal 2] Identify perpendicular line segments and right angles. [Geometry Goal 1] Describe properties of parallelograms. [Geometry Goal 2] Key Activities Students construct models of parallelograms and use them to review properties of parallelograms. Students cut apart and rearrange parallelogram shapes; they develop and use a formula for the area of a parallelogram. Ongoing Assessment: Informing Instruction See page Playing Fraction Of Student Reference Book, pp. 244 and 245 Math Masters, pp counters (optional) Students practice finding fractions of collections. Playing Angle Add-Up Math Masters pp per partnership: 4 of each of number cards 1 8 and 1 of each of number cards 0 and 9 (from the Everything Math Deck, if available) full-circle protractor (transparency of Math Masters, p. 439) dry-erase markers straightedge Students draw angles and then use addition and subtraction to find the measures of unknown angles. Math Boxes 8 6 Math Journal 2, p. 239 Students practice and maintain skills through Math Box problems. Constructing Figures with a Compass and Straightedge Student Reference Book, pp. 114, 117, and 118 compass straightedge Students construct figures with a compass and straightedge. Solving Area and Perimeter Problems Math Masters, pp. 263, 264, and 437 scissors tape Students explore ways of combining various two-dimensional shapes to form new shapes. Key Vocabulary base perpendicular Materials Math Journal 2, pp Study Link 8 5 Math Masters, p. 260 centimeter ruler straws and twist-ties scissors tape index card or other square-cor ner object slate Ongoing Assessment: Recognizing Student Achievement Use Math Boxes, Problem 4. [Operations and Computation Goal 5] Study Link 8 6 Math Masters, pp. 261 and 262 Students practice and maintain skills through Study Link activities. Advance Preparation For Part 1, each student needs 2 short straws, 2 long straws, and 4 twist-ties. Pairs of straws should be the same length. Place them near the Math Message. Teacher s Reference Manual, Grades 4 6 pp , 221, 222 Lesson

2 Getting Started Mental Math and Reflexes Pose multiplication facts and problems. Suggestions: Mathematical Practices SMP1, SMP2, SMP3, SMP5, SMP6, SMP7, SMP8 Content Standards 4.NF.4c, 4.MD.3, 4.MD.7, 4.G.1 Math Message Take 2 short straws, 2 long straws, and 4 twist-ties. Use them to construct a parallelogram. 3 7 = = = = = = = 4, = 2, = = = = 440 Study Link 8 5 Follow-Up Have partners compare answers and discuss how they found the missing side measure in Problems 5 and 6. 1 Teaching the Lesson Math Message Follow-Up WHOLE-CLASS Ask students to tell what they know about parallelograms, using their straw constructions as models, while you list the properties they name on the board. The list should include: A parallelogram is a four-sided polygon called a quadrangle or quadrilateral. Opposite sides of a parallelogram are parallel. Opposite sides of a parallelogram are the same length. Rectangles and squares are special kinds of parallelograms. Have students form a rectangle with their straw constructions, and then ask them to pull gently on the opposite corners. They should get a parallelogram that is not a rectangle. Ask the following questions: NOTE Height is the distance perpendicular to the base of a figure. Any side of a parallelogram can be the base. The choice of the base determines the. base base Does the perimeter remain the same? yes Does the area remain the same? No, because although the length of the base stays the same, the decreases, so the area decreases. Draw a parallelogram on the board. Choose one of the sides, for example, the side on which the parallelogram sits, and label it the base. Explain that base is also used to mean the length of the base. The shortest distance between the base and the side opposite the base is called the of the parallelogram. Draw and label a dashed line to show the. Include a right-angle symbol. Point out that the dashed line can be drawn anywhere between the two sides as long as it is perpendicular to (forms a right angle with) the base. Remind students that rectangles are parallelograms whose sides form right angles. If you think of one side of a rectangle as its base, then the length of an adjacent side is its. 688 Unit 8 Perimeter and Area

3 Tell students that in this lesson they will use the formula for the area of a rectangle to develop a formula for the area of a parallelogram. 8 6 Areas of Parallelograms 1. Cut out Parallelogram A on Math Masters, page 260. DO NOT CUT OUT THE ONE BELOW. Cut it into 2 pieces so that it can be made into a rectangle Links to the Future Parallelogram A The use of a formula to calculate the area of a parallelogram is a Grade 5 Goal. base = 6 length of base = 6 Developing a Formula for the Area of a Parallelogram (Math Journal 2, pp. 236 and 237; Math Masters, p. 260) PROBLEM SOLVING WHOLE-CLASS = 2 width () = 2 Area of parallelogram = 12 2 Area of rectangle = Do the same with Parallelogram B on Math Masters, page 260. Parallelogram B Point out that Parallelogram A on journal page 236 is the same as Parallelogram A on Math Masters, page 260. Guide students through the following activity: 1. Cut out Parallelogram A from the master. 2. Cut the parallelogram into two pieces along one of the vertical grid lines. 3. Tape the pieces together to form a rectangle. cut base = 4 length of base = 4 = 4 width () = 4 Area of parallelogram = 16 2 Area of rectangle = 16 2 Math Journal 2, p Tape this rectangle in the space next to the parallelogram in the journal. Discuss the relationship between the parallelogram and the rectangle formed from the parallelogram. Why must the parallelogram and the rectangle both have the same area? The rectangle was constructed from the parallelogram. Nothing was lost or added. 5. Record the dimensions and area of the parallelogram and the rectangle. Length of base of parallelogram and length of base of rectangle = 6 ; of parallelogram and width () of rectangle = 2 ; area of each figure = 12 2 Have students repeat these steps with Parallelograms B, C, and D, working on their own or with a partner. Bring students together to develop a formula for the area of a parallelogram. These are three possible lines of reasoning: The area of each parallelogram is the same as the area of the rectangle that was made from it. The area of the rectangle is equal to the length of its base times its width (also called the ). 8 6 Areas of Parallelograms continued 3. Do the same with Parallelogram C. Parallelogram C base = 4 length of base = 4 = 3 width () = 3 Area of parallelogram = 12 2 Area of rectangle = Do the same with Parallelogram D. Parallelogram D base = 3 length of base = 3 = 4 width () = 4 Area of parallelogram = 12 2 Area of rectangle = Write a formula for the area of a parallelogram. A = b h base Math Journal 2, p. 237 Lesson

4 about Perimeter = about 16.4 Area = 12 2 The length of the base of the parallelogram is equal to the length of the base of the rectangle. The of that parallelogram is equal to the width () of that rectangle. Therefore, the area of the parallelogram is equal to the length of its base times its. Using variables: A = b h where b is the length of the base and h is the. Have students record the formula at the bottom of journal page Perimeter = 16 Area = 12 2 Ongoing Assessment: Informing Instruction Watch for students who think that the perimeter of each parallelogram and rectangle pair is also the same. Point out that although the and base are the same measure, the of a parallelogram is only used in computing its perimeter when the parallelogram is a rectangle or square. (See margin.) Solving Area Problems (Math Journal 2, p. 238) Algebraic Thinking Work with the whole class on Problem 6, journal page 238. Students can place an index card (or other square-corner object) on top of the shape, align the bottom edge of the card with the base, and then use the edge of the card to draw a line for the. They will need a centimeter ruler to measure the length of the base and the. index card 8 6 Areas of Parallelograms continued 6. Draw a line segment to show the of Parallelogram DORA. D Use your ruler to measure the base and. Then find the area. base 5 4 Area Draw the following shapes on the grid below: a. A rectangle whose area is 12 square centimeters b. A parallelogram, not a rectangle, whose area is 12 square centimeters c. A different parallelogram whose area is also 12 square centimeters a. c. Sample answers: O b. R A Drawing the of a parallelogram Have partnerships complete Problems 7 and 8. Problem 7 illustrates the fact that shapes that do not look the same can have the same area. Problem 8b lends itself to a variety of solution strategies. Some students may have partitioned the trapezoid into a rectangle flanked by two triangles. The rectangle covers 12 grid squares. If one triangle were cut apart and placed next to the other triangle to form a rectangle, the pair would cover 6 squares. The rectangle and two triangles cover = What is the area of: a. Parallelogram 24 ABCD? b. Trapezoid 18 EBCD? c. Triangle 6 ABE? E D A E D B C B C Math Journal 2, p. 238 Problem 8b 690 Unit 8 Perimeter and Area

6 Teaching Master 8 6 Perimeter and Area Differentiation Options Constructing Figures with a Compass and Straightedge (Student Reference Book, pp. 114, 117, and 118) INDEPENDENT 30+ Min To apply students understanding of the properties of parallelograms, have them construct parallelograms and perpendicular line segments as described on pages 114, 117, and 118 of the Student Reference Book. Math Masters, p Solving Area and Perimeter Problems (Math Masters, pp. 263, 264, and 437) 30+ Min To apply students understanding of area and perimeter, have them explore different ways of combining various 2-dimensional shapes to form new shapes. Possible solutions to Problem 6: Name 8 6 Perimeter and Area continued Cut out and use only the shapes in the top half of Math Masters, page 263 to complete Problems Make a square out of 4 of the shapes. Draw the square on the centimeter dot grid on Math Masters, page 437. Your picture should show how you put the square together. 2. Make a triangle out of 3 of the shapes. One of the shapes should be the shape you did not use to make the square in Problem 1. Draw the triangle on Math Masters, page Find the area of the following: Teaching Master a. the small triangle 2 b. the square 2 c. the parallelogram 2 4. a. What is the perimeter of the large square you made in Problem 1? b. What is the area of that square? What is the area of the large triangle you made in Problem 2? Name Dot Paper Teaching Aid Master Try This 6. Cut out the 5 shapes in the bottom half of Math Masters, page 263 and add them to the other shapes. Use at least 6 pieces each to make the following shapes. Answers vary. a. a square b. a rectangle c. a trapezoid d. any shape you choose Tape your favorite shape onto the back of this sheet. Next to the shape, write its perimeter and area. py g g p Math Masters, p. 264 Math Masters, p Unit 8 Perimeter and Area

### 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

### 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 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

### 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

### 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

### 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

### 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

### 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

### 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.

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### *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

### 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

### 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

### Addition Strategies That Use Doubles Facts

Addition Strategies That Use Doubles Facts Objective To provide opportunities for children to explore and practice doubles-plus- and doubles-plus- facts. www.everydaymathonline.com epresentations etoolkit

### 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

### 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.

### 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

### 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 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

### 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

### 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

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

### 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

### The Half-Circle Protractor

The Half-ircle Protractor Objectives To guide students as they classify angles as acute, right, obtuse, straight, and reflex; and to provide practice using a half-circle protractor to measure and draw

### 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

### 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: 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

### 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

### 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

### 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

### 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

### 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

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

### 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

### 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

### Partial-Products Multiplication (Part 2)

Partial-Products Multiplication (Part ) Objectives To introduce and provide practice with the partial-products algorithm for -digit multipliers. 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

### 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

### 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

### Multiplication and Division of Positive and Negative Numbers

Multiplication and Division of Positive Objective o develop and apply rules for multiplying and dividing positive and www.everydaymathonline.com epresentations eoolkit Algorithms Practice EM Facts Workshop

### Line Segments, Rays, and Lines

HOME LINK Line Segments, Rays, and Lines Family Note Help your child match each name below with the correct drawing of a line, ray, or line segment. Then observe as your child uses a straightedge to draw

### Objectives To find the absolute value of rational numbers; and to solve problems using absolute value. Family Letters. Assessment Management

Absolute Value Objectives To find the absolute value of rational numbers; and to solve problems using absolute value. www.everydaymathonline.com epresentations etoolkit Algorithms 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

### Doubles Facts Objective To review and provide practice for doubles facts.

Doubles Facts Objective To review and provide practice for doubles facts. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management

### 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

### Model area formulas for parallelograms, trapezoids, and triangles.

Answers Teacher Copy Lesson 23-3 Area of Triangles, Trapezoids, and Polygons Learning Targets p. 297 Model area formulas for parallelograms, trapezoids, and triangles. Write equations that represent problems

### 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

### Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.

Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional

### 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

### Polygon of the Day Discovering Area Formulas

Polygon of the Day Discovering Area Formulas Utilizing Technology and Manipulatives Cuisenaire pop-cubes Geometry tiles GSP triangles tool Trapezoid magnets Sixth Grade 6-day Unit Plan (40 minute classes)

### GEOMETRY CIRCLING THE BASES

LESSON 3: PRE-VISIT - PERIMETER AND AREA OBJECTIVE: Students will be able to: Distinguish between area and perimeter. Calculate the perimeter of a polygon whose side lengths are given or can be determined.

### 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

### 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

### 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

### 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

### G6-9 Area of Composite Shapes

G6-9 Area of Composite Shapes 1. a) Calculate the area of each figure. b) Draw a line to show how Shape C can be divided into rectangles A and. i) ii) A C A C Area of A = Area of A = Area of = Area of

### Solving Simple Equations Objective To use trial and error and a cover-up method to

Solving Simple Equations Objective To use trial and error and a cover-up method to solve equations. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family

### 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

### 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

### Objectives To review the order of operations; and to evaluate expressions containing parentheses. Assessment Management

Order of Operations Objectives To review the order of operations; and to evaluate expressions containing parentheses. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### Geometry Notes PERIMETER AND AREA

Perimeter and Area Page 1 of 17 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

### Progress Check 9. Objective To assess children s progress on mathematical content through the end of Unit 9. Looking Back: Cumulative Assessment

Objective To assess children s progress on mathematical content through the end of Unit 9. Looking Back: Cumulative Assessment Input children s data from into the Assessment Management Spreadsheets. Materials

### Activity Set 3. Trainer Guide

Geometry and Measurement of Plane Figures Activity Set 3 Trainer Guide GEOMETRY AND MEASUREMENT OF PLANE FIGURES Activity Set 3 Copyright by the McGraw-Hill Companies McGraw-Hill Professional Development

### Math Common Core Standards Fourth Grade

Operations and Algebraic Thinking (OA) Use the four operations with whole numbers to solve problems. OA.4.1 Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 7 as a statement

E XPLORING QUADRILATERALS E 1 Geometry State Goal 9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space. Statement of Purpose: The activities in this

### The Inch. Objectives To introduce the inch as a standard unit of length; and to provide practice measuring to the nearest inch.

The Inch Objectives To introduce the inch as a standard unit of length; and to provide practice measuring to the nearest inch. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM

### Grade 8 Mathematics Geometry: Lesson 2

Grade 8 Mathematics Geometry: 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

### Area, Perimeter, Surface Area and Change Overview

Area, Perimeter, Surface Area and Change Overview Enduring Understanding: (5)ME01: Demonstrate understanding of the concept of area (5)ME02: Demonstrate understanding of the differences between length

### Grade 3 Core Standard III Assessment

Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in two-dimensional shapes and determine if angles are greater than or less than a right angle (obtuse

### Change-to-More Number Stories

-to-more Number Stories Objective To guide children as they solve change-to-more number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

### Area and Circumference of Circles

Teacher Created Materials 21208 Focused Mathematics Student Guided Practice Book of Circles Learning Objectives Geometry Know the formulas for the area and circumference of a circle and use them to solve

### Unit 6 Geometry: Constructing Triangles and Scale Drawings

Unit 6 Geometry: Constructing Triangles and Scale Drawings Introduction In this unit, students will construct triangles from three measures of sides and/or angles, and will decide whether given conditions

### John Adair Intermediate 4th Grade Math Learning Targets I Can Statements..

John Adair Intermediate 4th Grade Math Learning Targets I Can Statements.. NUMBERS AND OPERATIONS IN BASE TEN 4.NBT Generalize place value understanding for multi-digit whole numbers. Explain how the base

### 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

### Exploring Arrays, Coins, and Division

Explorations Exploring Arrays, Coins, and Division Objectives To develop readiness for multiplication; to guide children in finding coin combinations equivalent to \$1.00; and to explore one meaning of

### Geometry Notes PERIMETER AND AREA

Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter

### called and explain why it cannot be factored with algebra tiles? and explain why it cannot be factored with algebra tiles?

Factoring Reporting Category Topic Expressions and Operations Factoring polynomials Primary SOL A.2c The student will perform operations on polynomials, including factoring completely first- and second-degree

### COURSE OF STUDY UNIT PLANNING GUIDE

COURSE OF STUDY UNIT PLANNING GUIDE FOR: MATHEMATICS GRADE LEVEL: FOURTH GRADE PREPARED BY: TERESA KELLY AND TRACY BUCKLEY B.O.E. ADOPTED AUGUST 20, 2015 REVISED AUGUST 2015 ALIGNED TO THE 2014 NJCCCS

### 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

### 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

### Objective To review the partial-quotients division algorithm with whole numbers.

Objective To review the partial-quotients division algorithm with whole numbers. 1 Teaching the Lesson materials Key Activities Students review and practice the use of a friendly number paper-and-pencil

### Lesson 7: Drawing Parallelograms

Student Outcomes Students use a protractor, ruler, and setsquare to draw parallelograms based on given conditions. Lesson Notes In Lesson 6, students drew a series of figures (e.g., complementary angles,

### Place Value Chart. Number Sense 345,562 > 342,500 24,545 < 38, ,312=212,312

INDIANA ACADEMIC STANDARDS Number Sense 4.NS.1 Read and write whole numbers up to 1,000,000. Use words, models, standard form, and expanded form to represent and show equivalent forms of whole numbers

### Angles of Polygons Objective To develop an approach for finding the angle measurement sum for any polygon.

ngles of Polygons Objective To develop an approach for finding the angle measurement sum for any polygon. www.everydaymathonline.com epresentations etoolkit lgorithms Practice EM Facts Workshop Game Family

### 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

### Fourth Grade Common Core State Standard (CCSS) Math Scope and Sequence

I= Introduced R=Reinforced/Reviewed Fourth Grade Math Standards 1 2 3 4 Operations and Algebraic Thinking Use the four operations with whole numbers to solve problems. 4.0A.1 - Interpret a multiplication

### Geometry and Measurement

Geometry and Measurement (Developmentally Appropriate Lessons for K-5 Students) Amanda Anderson Title I Teacher Lincoln Elementary aanderson@bemidji.k12.mn.us Executive Summary This 10-day unit plan is

### Algebra Geometry Glossary. 90 angle

lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:

### California Common Core State Standards Comparison- FOURTH GRADE

1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others 4. Model with mathematics. Standards