# Fractions and Decimals

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1 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. 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 Read and write decimals through hundredths. [Number and Numeration Goal 1] Represent a shaded region as a fraction and a decimal. [Number and Numeration Goal ] Rename fractions with and 0 in the denominator as decimals. [Number and Numeration Goal ] Use equal sharing to solve division problems. [Operations and Computation Goal ] Key Activities Students rename fractions as decimals and decimals as fractions. They also explore the relationship between fractions and division. Ongoing Assessment: Recognizing Student Achievement Use journal page 03. [Number and Numeration Goal ] Materials Math Journal, pp. 03, 3, and 33 Student Reference Book, p. Study Link 7 7 Math Masters, p. (optional) transparency of Math Masters, p. base- blocks calculator slate overhead base- blocks (optional) Advance Preparation Math Boxes 7 Math Journal, p. 0 Students practice and maintain skills through Math Box problems. Study Link 7 Math Masters, p. Students practice and maintain skills through Study Link activities. READINESS Creating Base- Block Designs Math Masters, p. base- blocks Students make a design with base- blocks, copy the design on a grid, and write a decimal and a fraction to describe what part of the grid is covered by the blocks. ENRICHMENT Finding Fractions, Decimals, and Percents on Grids Math Masters, p. 7 Students shade a -by- grid to represent fractions and find the percent and decimal equivalencies. ENRICHMENT Designing a Baseball Cap Rack Math Masters, pp. 7A and 7B Students use fractions with denominators of ; 0; or 1,000 to design a baseball cap rack. EXTRA PRACTICE Taking a 0-Facts Test Math Masters, pp. 1 and 1; p. 1 (optional) pen or colored pencil Students take a 0-facts test. They use a line graph to record individual and optional class scores. Teacher s Reference Manual, Grades pp., 3, 13, 1 Lesson 7 09

2 Getting Started Mathematical Practices SMP1, SMP, SMP3, SMP, SMP, SMP Content Standards.NF.1,.NF.,.NF. Mental Math and Reflexes Write a fraction on the board. Students write an equivalent fraction on their slates. Suggestions: Sample answers: _, 3, 3_ 1 _ 3, 3_ 9 _, 3_ 1 0 0, _ 0 3, 9_ 1 9 3, 1 1, 0_ 0 3, 9_ 1 Math Message Write the following fractions as decimals: 3_ 0 7_ 9_ 0 Study Link 7 7 Follow-Up Have students compare answers and share the name-collection boxes they created. 1 Teaching the Lesson Math Message Follow-Up (Math Masters, p. ) WHOLE-CLASS DISCUSSION Display a transparency of Math Masters, page as you discuss the answers. Remind students that the square is the whole. You can color the grid sections to show fractional parts or cover them with base - blocks. Color or cover one column of the bottom grid. What fractional part of the square is this? Base- Grids Teaching Aid Master 1, or 0.1 How would you write as a decimal? 0.1 Repeat with other fractions in tenths, including 3_ and 7_. Adjusting the Activity ELL Provide students with base- blocks and a copy of Math Masters, page, so they can model the decimal numbers at their desks. A U D I T O R Y K I N E S T H E T I C T A C T I L E V I S U A L Math Masters, p. Unit 7 Fractions and Their Uses; Chance and Probability

6 3 Differentiation Options READINESS Creating Base- Block Designs (Math Masters, p. ) INDEPENDENT 30+ Min Decimal: Fraction: 0. 0 To explore representing fractions and decimals on a base- grid, have students make a design on a base- block flat with cubes and then copy the design onto one of the grids shown on Math Masters, page. Students determine how much of the flat is covered by their design and express this number as a decimal and a fraction. (See margin.) Students may choose to exchange as many cubes as possible for longs, which would result in a certain number of longs (tenths) and cubes (hundredths). ENRICHMENT Finding Fractions, Decimals, and Percents on Grids (Math Masters, p. 7) PARTNER 1 30 Min To further investigate fraction, decimal, and percent equivalencies, have students shade a base- grid to show, 3,, and _. Encourage students to discuss patterns they see and strategies they used. Ask: How could you have found the percent equivalent for _ without shading the grid? Sample answer: Use the answer for and multiply by. 7 Fraction, Decimal, and Percent Grids Fill in the missing numbers. Shade the grids. 1.. Teaching Master Sample answers: 1 ENRICHMENT Designing a Baseball Cap Rack (Math Masters, pp. 7A and 7B) To further investigate the relationships among fractions with denominators of ; 0; or 1,000, have students design two identical racks to display a baseball cap collection. Encourage students to work with a partner to complete the activity. PARTNER 1 30 Min 1 Fraction: = Fraction: 3 = 0 0 Decimal: 0.1 Decimal: Percent: 1. % Percent: 33 3 % EXTRA PRACTICE Taking a 0-Facts Test (Math Masters, pp. 1, 1, and 1) SMALL-GROUP 1 Min See Lesson 3- for details regarding the administration of the 0-facts test and the recording and graphing of individual and optional class results. 1 Fraction: = Fraction: _ = 0 0 Decimal: 0.1 Decimal: 0. Percent: 1 _ % Percent: _ % Math Masters, p Unit 7 Fractions and Their Uses; Chance and Probability

7 7 Designing a Baseball Cap Rack Karen plans to design and construct two identical horizontal racks to display her baseball cap collection. She has 1 different caps to hang on pegs. Karen s sister suggested that she add extra pegs for caps she may get in the future. Karen measured the width of some caps and decided that the pegs need to be decimeters ( _ meter) apart. Also, in order to fit on her wall, each rack cannot be more than 10 centimeters long. Help Karen design one of the identical racks. Use metric units. Fill in the blanks below as you create the design. 1. Each of Karen s racks will have pegs for hats.. The total length of the rack will be centimeters. 3. The first peg will be centimeters from the edge of the rack.. In the space below, draw a rough sketch of the rack. Include the measurements in your sketch.. Write a fraction addition number sentence to show the total length of the rack.. Could there be 9 pegs on the rack? Explain your answer. Copyright Wright Group/McGraw-Hill 7A

8 7 Designing a Baseball Cap Rack continued Use your answers to Problems 1 and on Math Masters, page 7A to fill in the blanks in the sentence below. Each rack is centimeters long and has pegs. At the lumberyard, Karen discovered she could spend less if she was willing to glue leftover pieces of wood together instead of using one long piece. She measured several boards and wrote down the lengths: 7_ meter _ 0 meter _ 3 0 meter _ 3 meter _ 0 0 meter _ 9 meter _ 7_ 0 meter _ 0 meter 1 meter _ 0 meter 7. Can Karen use these pieces to create two racks of the length you planned? Explain why or why not. Show your work. Copyright Wright Group/McGraw-Hill Pegs come in two different packages: -pack for \$3.79 or -pack for \$1.99. Explain how Karen can purchase the pegs for her racks, spending as little money as possible. 7B

### 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 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

### 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

### 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

### 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 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

### 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

### 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

### 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

### 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

### 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 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

### 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

### 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

### 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

### 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

### 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 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

### 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

### 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

### 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 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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.

### 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

### 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

### 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

### 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

### 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

### 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

### Number-Line Posters for Fractions

Number-Line Posters f Fractions Objective To introduce the number line as a model f fractions. www.everydaymathonline.com epresentations etoolkit Algithms Practice EM Facts Wkshop Game Family Letters Assessment

### 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

### 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

### 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

### 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

### 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

### Common Core State Standards. Mathematical Practices SMP1, SMP5, SMP6, SMP8. Content Standards 3.OA.5, 3.OA.8

Project Objective To introduce the rules for order of operations. www.everydaymathonline.com etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards

### Number-Line Posters for Fractions

Number-Line Posters f Fractions Objective To introduce the number line as a model f fractions. www.everydaymathonline.com epresentations etoolkit Algithms Practice EM Facts Wkshop Game Family Letters Assessment

### 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

### 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

### 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

### 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

### 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

### 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

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

### Analyzing and Displaying Data

Analyzing and Displaying Data Objectives To review data concepts; to provide opportunities to find data landmarks and use graphs to draw conclusions. www.everydaymathonline.com epresentations etoolkit

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### Assessment Management

Number Stories Objectives To introduce everyday examples of rectangular arrays; and to provide experiences with solving multiplication problems using multiplication diagrams and array models. www.everydaymathonline.com

### 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

### Objectives To review making ballpark estimates; and to review the counting-up and trade-first subtraction algorithms. materials. materials.

Objectives To review making ballpark estimates; and to review the counting-up and trade-first subtraction algorithms. Teaching the Lesson materials Key Activities Children make ballpark estimates for -digit

### NS6-50 Dividing Whole Numbers by Unit Fractions Pages 16 17

NS6-0 Dividing Whole Numbers by Unit Fractions Pages 6 STANDARDS 6.NS.A. Goals Students will divide whole numbers by unit fractions. Vocabulary division fraction unit fraction whole number PRIOR KNOWLEDGE

### Fractions and Decimals: Part 2

Fractions and Decimals: Part Objective To provide experience with several graphic models for renaming fractions as decimals. www.everydaymathonline.com epresentations etoolkit Algorithms Practice M Facts

### 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

### 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

### 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

### 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

### 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

### 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

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

### Using Tree Diagrams to Calculate Probabilities

Using Tree Diagrams to Calculate Probabilities Objective To use tree diagrams to help calculate probabilities. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game

### Math, Grades 3-5 TEKS and TAKS Alignment

111.15. Mathematics, Grade 3. 111.16. Mathematics, Grade 4. 111.17. Mathematics, Grade 5. (a) Introduction. (1) Within a well-balanced mathematics curriculum, the primary focal points are multiplying and

### Algorithm set of steps used to solve a mathematical computation. Area The number of square units that covers a shape or figure

Fifth Grade CCSS Math Vocabulary Word List *Terms with an asterisk are meant for teacher knowledge only students need to learn the concept but not necessarily the term. Addend Any number being added Algorithm

### 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

### 1 Teaching the Lesson

Getting Started Mental Math and Reflexes Children solve division number stories. They write answers on slates and explain their strategies to the class. Provide counters. There are children in the class.

### 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

### 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

### Available in Spanish For Grades K 5

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### 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

### Frames and Arrows Having Two Rules

Frames and Arrows Having Two s Objective To guide children as they solve Frames-and-Arrows problems having two rules. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop

### 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

### Unit 2 Number and Operations Fractions: Multiplying and Dividing Fractions

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Year Five Maths Notes NUMBER AND PLACE VALUE I can count forwards in steps of powers of 10 for any given number up to 1,000,000. I can count backwards insteps of powers of 10 for any given number up to

### Multiplying Decimal Numbers by 10, by 100, and by 1000

Multiplying Decimal Numbers by 10, by 100, and by 1000 Lesson 111 111 To multiply by 10, shift the decimal to the right one place. To multiply by 100, shift the decimal to the right two places. To multiply

### 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

### U.S. Traditional Long Division, Part 1 Objective To introduce U.S. traditional long division.

Algorithm Project U.S. Traditional Long Division, Part 1 Objective To introduce U.S. traditional long division. www.everydaymathonline.com etoolkit Algorithms Practice EM Facts Workshop Game Family Letters

Addition Number Stories Objective To guide children as they make up, represent, and solve addition number stories. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop