# Multiplication and Division Fact Families

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1 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. epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management Common Core State Standards Curriculum Focal Points Interactive Teacher s Lesson Guide Teaching the Lesson Ongoing Learning & Practice Differentiation Options Key Concepts and Skills Use Fact Triangles and the Facts Table to generate multiplication and division fact families. [Operations and Computation Goal ] Look for patterns on the Facts Table. [Patterns, Functions, and Algebra Goal 1] Explore the inverse relationship between multiplication and division fact families. [Patterns, Functions, and Algebra Goal ] Apply the turn-around rule (Commutative Property of Multiplication). [Patterns, Functions, and Algebra Goal ] Key Activities Children use the Multiplication/Division Facts Table and Fact Triangles to find fact families and to practice multiplication and division facts. Ongoing Assessment: Recognizing Student Achievement Use the Math Message. [Patterns, Functions, and Algebra Goal ] Key Vocabulary Materials Math Journal 1, inside front cover Math Journal 1, Activity Sheets 1 and ; Activity Sheets and (optional) Student Reference Book, pp. 5 and 5 Home Link 5 Math Masters, p. 98 (optional); p. 1 transparencies of Math Masters, pp. 98 and 1 (optional) scissors slate paper envelope half-sheet of paper Practicing with, Fact Triangles, Fact Triangles Children practice multiplication and division with Fact Triangles. Math Boxes 6 Math Journal 1, p. 90 Children practice and maintain skills through Math Box problems. Home Link 6 Math Masters, pp Children practice and maintain skills through Home Link activities. READINESS Practicing Multiplication Facts with a Calculator Math Masters, p. 10 calculator Children skip count with calculators. ENRICHMENT Examining a Pattern Math Masters, p. 98 or Math Journal 1, inside front cover per partnership: half-sheet of paper, highlighters (optional) Children examine a pattern in the. Advance Preparation When you send Home Link 6 home, copy and attach Math Masters, pages 101 and 10. Teacher s Reference Manual, Grades 1 pp. 16, 17 7 Unit Multiplication and Division

2 Getting Started Mental Math and Reflexes Have children count chorally. They may use number grids, number lines, or calculators as needed. Skip count forward and backward by s, 5s, and 10s. Skip count forward and backward by s and 6s. Skip count forward and backward by s and 8s. Math Message Write the +,- fact family for the numbers,, and on a half-sheet of paper. Home Link 5 Follow-Up Have partners discuss the multiplication-fact shortcuts they like the best. 1 Teaching the Lesson Math Message Follow-Up Ask a volunteer to share the fact family for,, and. + =, and - =. The fact family,, and is a doubles fact family. Mention that just like addition and subtraction fact families, there are also multiplication and division fact families. 1, = 1 1 = = 1 1 = Fact family for the numbers,, and 1 Ongoing Assessment: Recognizing Student Achievement Math Message Use the Math Message to assess children s progress toward using the +, -, and = symbols. Children are making adequate progress if they are able to write the fact family. Some children may notice that the same numbers (,, and ) can be used to write a multiplication fact and a division fact using the,, and = symbols. [Patterns, Functions, and Algebra Goal ] Teaching Aid Master Multiplication/Division Fact Triangle Introducing Multiplication/ Division Fact Families (Math Masters, p. 1) Use a transparency of a blank Fact Triangle (Math Masters, page 1) or draw one on the board. Write the three numbers from a multiplication fact for example,,, and 1 in the corners of the triangle. Be sure the product is at the top under the large dot. Ask volunteers to name the fact family (the two multiplication facts and two division facts) for those numbers. = 1, = 1, 1 =, and 1 = Math Masters, p. 1 Lesson 6 7

3 Write a few more triplets of numbers in the triangle. Children write the fact families on their slates. A volunteer reads the results as the others check their slates. In the previous lesson, children used arrays to demonstrate a turn-around rule for multiplication. Ask: Is there a turn-around rule for the division facts in each fact family? No Have children give examples to show that there is no turn-around rule for division; for example, 6 divided by gives a different answer than divided by 6. Some children may recognize that division problems, such as 6, can be thought of as fractions: 6 is equivalent to _ 6 or 1_. Finding Patterns in the Facts Table (Math Journal 1, inside front cover; Math Masters, p. 98) DISCUSSION Teaching Master Algebraic Thinking Ask children to study the Multiplication/ Division Facts Table on the inside front cover of the journal. You may also display a transparency of the table (Math Masters, page 98). Give children a few minutes to examine the table. Have them describe patterns they find. Examples: Going across the second row and down the second column, the numbers increase by 1. In the third row and third column, the numbers increase by, and so on. In the 10-column and the 10-row, all of the numbers end in 0. In the 5-column and the 5-row, all of the numbers end in 0 or 5. In the -column and the -row, all of the numbers end in an even number. In the diagonal, moving from upper left to lower right, the numbers increase by, 5, 7, 9, and so on Page Multiplication/Division Title Facts Table Using the Facts Table and Fact Families (Student Reference Book, pp. 5 and 5) Math Masters, p. 98 Model how to use the table to find products. Example: 5 7 =? and 7 5 =? Find the 5-row. Go across the 5-row to the 7-column. That number is 5. This shows that 5 7 = 5. Find the 7-row. Go across the 7-row to the 5-column. That number is 5. This shows that 7 5 = 5. Have children practice other multiplication examples, including 8 1 =? and 1 =?. Use the Multiplication/Division Facts Table to highlight the special property of 1 in multiplication. If a number is multiplied by 1, the number is not changed. 8 1 = 8; 1 =. 7 Unit Multiplication and Division

4 1 Next, demonstrate how to use the Multiplication/Division Facts Table to find quotients. Example: 8 =? Find the -row. Go across the -row until you find 8. Go up that column to the heading, which is 7. This also shows that 8 = 7. Find the -column. Go down the column until you find 8. Go across the row to the heading, which is 7. This also shows that 8 = 7. Have children practice other division examples including 6 1 =? and 7 7 =?. Use the to highlight the special property of 1 in division. If a number is divided by 1, the number is not changed. If a number is divided by itself, the result is 1. For example, 6 1 = 6 and 7 7 = 1. Call out multiplication facts. Ask children to highlight the facts with a sheet of paper as shown in the margin. Then children state the corresponding division facts. Alternately, children highlight division facts on the table as you call them out. They then state the corresponding multiplication facts., , Practicing with Fact Triangles (Math Journal 1, Activity Sheets 1 and ) PARTNER Have children cut out the Multiplication/Division Fact Triangles from Activity Sheets 1 and at the back of their journals. Review the procedure for practicing the facts with Fact Triangles. While one child covers a number on a Fact Triangle, the partner tells the multiplication or division fact for the exposed numbers The guide may be positioned either way to show 7 = 8, 7 = 8; or 8 = 7 and 8 7 =. NOTE Have children store their Fact Triangles in their tool kits in envelopes. Some teachers have children write the fact families on the backs of the Fact Triangles. This should be an ongoing project, done a few at a time. Date 6 Student Page Time Multiplication/Division Fact Triangles 1 Links to the Future 6 8 These Fact Triangles present the easier facts. In Unit 7, children will use the harder Fact Triangles (Activity Sheets and ). Do not expect all children to master all of the easier facts at this time. Children will have more opportunities to practice the facts in later units. Adjusting the Activity Have children practice with the Fact Triangles on Activity Sheets and as appropriate. 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 Journal 1, Activity Sheet 1 Activity Sheet 1 Lesson 6 75

5 Date 6 1. Write,, or Complete. yd Rule Math Boxes ftt yd 5. Lengths (in.) of 1 cats, including the tails: 0, 9, 8,, 9, 5, 16, 7, 9, 6, 8, 1, What is the maximum length? Fill in the oval for the best answer. 6 inches 16 inches 9 inches 0 inches ft Answers vary. Time. Write the fact family Math Journal 1, p. 90 Student Page. Use the dots to show a 7-by-6 array. What is the number model? Fill in the empty frames. 1,107 6,107 7,107,107 5, Rule 1,000,107, Ongoing Learning & Practice Practicing with, Fact Triangles PARTNER Have partners use their Fact Triangles to practice basic multiplication and division facts. At first, children should limit themselves to finding products. That is, one partner covers the number below the large dot, and the other gives the product of the uncovered factors. When children are well on their way to learning products, they can cover one of the other two numbers to practice finding missing factors. Math Boxes 6 (Math Journal 1, p. 90) INDEPENDENT Mixed Practice Math Boxes in this lesson are paired with Math Boxes in Lesson -9. The skill in Problem 6 previews Unit 5 content. Writing/Reasoning Have children answer the following question: When a number is multiplied by 1, the number does not change. What can you say about dividing a number by 1? Sample answer: When a number is divided by 1, the number does not change. Home Link 6 (Math Masters, pp ) INDEPENDENT 0 06 Page, Fact Title Page Triangles Title continued HOME LINK Tell someone at home about multiplication/division fact families. 1. The numbers, 5, and 10 form the following facts: Knowing 6 and 6 helps me know 1 6 and The numbers, 7, and 1 form this multiplication/division fact family: Write the fact family for each, Fact Triangle Home Link Master Home Connection Children review multiplication and division fact families. Send home copies of Math Masters, pages 101 and 10, which contain Fact Triangles. Differentiation Options READINESS Practicing Multiplication Facts with a Calculator (Math Masters, p. 10) INDEPENDENT 15 0 Min To provide experience skip counting on a calculator, have children use their calculators to complete the tables on Math Masters, page 10. Review the steps for counting by 1s on the calculator. Children can program the calculator using the following steps: Math Masters, p Unit Multiplication and Division

### 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

### 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

### 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

### 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

### 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 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

### 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

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

### 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

### 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.

### 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

### 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

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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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.

### 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

### 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

### 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

### 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

### 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

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

### 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

### 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

### Objectives To review and provide practice with the lattice method for multiplication.

Objectives To review and provide practice with the lattice method for multiplication. Teaching the Lesson materials Key Activities Students review the lattice method for multiplication with - and -digit

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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 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

### 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

### 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

### 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

### Objective To introduce and practice the partial-sums addition algorithm.

Objective To introduce and practice the partial-sums addition algorithm. 1 Teaching the Lesson Key Activities Children are introduced to the partial-sums algorithm using base-1 blocks and paper-and-pencil

### 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

### 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

### Math Message and Number Sequences

Math Message and Number Sequences Objectives To introduce the Math Message routine; and to review number sequences and number lines. www.everydaymathonline.com epresentations etoolkit Algorithms Practice

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

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

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

Grade 2 Unit 2: Addition and Subtraction Facts Read unit 2 lessons, content highlights pages 88-91, and applicable Teacher s Reference Manual excerpts prior to unit instruction. Instructional notes: This

### 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

### 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

### 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

### 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

### 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.

### materials materials materials Technology Teaching the Lesson Ongoing Learning & Practice Differentiation Options

Objectives To guide children as they make ballpark estimates; and to provide opportunities to model and practice the partialsums algorithm for - and -digit numbers. Teaching the Lesson Key Activities Children

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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

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