# Multiplication Facts Survey

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1 Multiplication Facts Survey Objective To guide children as they determine which multiplication facts they still need to learn. 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 Identify square products. [Operations and Computation Goal 3] Describe patterns in factors and products. [Patterns, Functions, and Algebra Goal 1] Describe and apply the turn-around rule (Commutative Property of Multiplication) to generate multiplication facts. [Patterns, Functions, and Algebra Goal 4] Key Activities Children use a Multiplication/Division Facts Table to identify the facts they know and the facts they still need to learn. They take a timed multiplication facts survey. Ongoing Assessment: Recognizing Student Achievement Use the Math Message. [Operations and Computation Goal 6] Materials Math Journal 2, p. 159 Math Journal 1, Activity Sheets 3 and 4 Math Masters, p. 438A; pp. 438B and 438C (optional) transparency of Math Masters, p. 206 (Home Link 7 1) half-sheets of paper colored pencil or crayon scissors envelopes Practicing Multiplication/Division Facts with Fact Triangles, Fact Triangles Children practice multiplication basic facts using the second set of Fact Triangles. Math Boxes Math Journal 2, p. 160 Children practice and maintain skills through Math Box problems. Home Link Math Masters, pp. 209 and Children practice and maintain skills through Home Link activities. READINESS Exploring Turn-Around Facts Math Masters, p. 210 scissors Children identify turn-around facts on the Multiplication/Division Facts Table. ENRICHMENT Finding Patterns in the 9s Facts 1 sheet of paper Children identify and describe patterns in the products for 9s facts. Advance Preparation For Part 1, make one copy of Math Masters, page 438A for every 2 children. Math Masters, pages are Fact Triangles. Make copies of the Fact Triangles to send home with Home Link. Teacher s Reference Manual, Grades 1 3 pp Unit 7 Multiplication and Division

2 Getting Started Mathematical Practices SMP2, SMP5, SMP6, SMP7, SMP8 Content Standards 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.9 Mental Math and Reflexes Have children practice quick recall of basic multiplication facts. Suggestions: Examples: Home Link 7 1 Follow-Up Ask children to demonstrate different paths for escaping the labyrinth on a transparency of Home Link 7-1. Discuss which of the paths is the shortest. Math Message Each of the following products is a square product. Complete the number sentences on a half-sheet of paper. 3 3 = 9 Sample answer: 5 5 = = = 81 Draw an array to show one of the square products. 1 Teaching the Lesson Math Message Follow-Up SOLVING WHOLE-CLASS DISCUSSION Briefly review the answers. Have children make observations about the factors and the products. Point out that all the factors and their products are odd numbers. Make a chart (see below) on the board to record examples of factors and their products. Ask: If both factors are odd numbers, is the product odd or even? odd What is the result if both factors are even numbers? even What is the result if one factor is even and the other odd? even Products for even and odd factors Ongoing Assessment: Recognizing Student Achievement Math Message Use the Math Message to assess children s progress toward using arrays to model multiplication. Children are making adequate progress if they are able to draw an array to show one of the square products. Some children may be able to draw an array for each of the square products and discuss their similarities. [Operation and Computation Goal 6] Lesson 583

4 Administering a Facts Survey (Math Masters, pp. 438A 438C) INDEPENDENT Explain to children that they will find out for themselves how many of the 16 facts they already know and how many they have yet to learn. Distribute the survey on Math Masters, page 438A. At your signal, children have 90 seconds (approximately 5 seconds per problem) to complete as many problems as possible. Adjust the amount of time as you see fit, but remember that children should not be given enough time to figure out the answers. The point is to know the answers from memory. Decide how you would like to have the surveys corrected. Children may correct their own or you may correct them yourself. Note that the reason for administering the survey is to help children to identify the facts they still need to learn; it is not to give a grade. Once the surveys are corrected, consider having children write the facts they still need to learn on the Notes page at the back of Math Journal 2. They will be able to access these facts quickly for continued practice. Plan to assess children s progress on the Facts Survey once every couple of months. Math Masters, pages 438B and 438C are alternate versions of the same 16 facts. Multiplication Facts Survey = = = = = = = = = = = = = = = = _438A_445_449_EMCS_B_MM_G3_U07Proj_ indd 438A Teaching Aid Master Multiplication Facts Survey = = = = = = = = = = = = = = = = 72 Math Masters, p. 438A 3/16/11 12:34 PM NOTE Have children write their initials on the back of each Fact Triangle in case they misplace them. Cutting Out Fact Triangles (Math Journal 1, Activity Sheets 3 and 4) INDEPENDENT After children have cut out the Fact Triangles on the Activity Sheet card stock pages, review how to use Fact Triangles to generate fact families and to practice the multiplication and division facts. Remind children that they need to learn the multiplication and division facts so they can solve multiplication and division problems with larger numbers. Provide children frequent opportunities to practice their facts with the Fact Triangles. The year-end goal for third grade is to demonstrate automaticity with facts through NOTE For additional Fact Triangles for facts through 12 12, go to Teaching Aid Master Multiplication Facts Survey = = = = = = = = = = = = = = = = 72 Multiplication Facts Survey = = = = = = = = = = = = = = = = 72 Math Masters, p. 438B _438A_445_449_EMCS_B_MM_G3_U07Proj_ indd 438B 3/16/11 12:34 PM Lesson 585

5 py g g p Teaching Aid Master Multiplication Facts Survey = = = = = = = = = = = = = = = = 45 Multiplication Facts Survey 3 2 Ongoing Learning & Practice Practicing Multiplication/Division Facts with Fact Triangles PARTNER Partners practice basic facts using their Fact Triangles. Children keep track of the facts they miss and direct their partners to focus on those facts during a second round. Encourage children to store their Fact Triangles in an envelope when they are not using them. py g g p 4 8 = = = = = = = = = = = = = = = = 45 Math Masters, p. 438C Math Boxes (Math Journal 2, p. 160) INDEPENDENT Mixed Practice The Math Boxes in this lesson are paired with the Math Boxes from Lesson 7-4. The skill in Problem 6 previews Unit 8 content. Home Link (Math Masters, pp. 209 and ) INDEPENDENT _438A_445_449_EMCS_B_MM_G3_U07Proj_ indd 438C 3/16/11 12:34 PM Home Connection Children share with someone at home their progress with the multiplication facts. Send home Math Masters, pages (which are the same Fact Triangles as Activity Sheets 3 and 4) so children can practice multiplication facts. Date Math Boxes Student Page Time 3 Differentiation Options 1. Draw the lines of symmetry. There are 2 lines of symmetry. 3. Solve = 150 1,300 = , = ,000 6,000 = 9, = 1, Complete the number-grid puzzles Unit Draw a trapezoid. Then draw a line segment that intersects the two parallel sides. Sample answer: I have 3 vertices. All my sides are different lengths. I have one right angle. What am I? Fill in the circle for the best answer. A. trapezoid B. kite C. hexagon D. right triangle 6. Shade 1_ 3 of the rectangle. Sample answer: READINESS Exploring Turn-Around Facts (Math Masters, p. 210) SMALL-GROUP 5 15 Min To provide experience with turn-around facts, have children compare two halves of the Multiplication/Division Facts Table. They cut out the Multiplication/Division Facts Table on Math Masters, page 210 along the dotted lines and fold it diagonally from right to left along the blank squares. Notice that equal factors and products fold onto themselves. Ask children why this happens. The same factors are used in order along the top row as are used down the first column. The products of the turn-around facts are the same Math Journal 2, p. 160 EM3MJ2_G3_U07_ indd 160 1/18/11 3:34 PM 586 Unit 7 Multiplication and Division

7 Multiplication Facts Survey = 9 3 = Copyright Wright Group/McGraw-Hill Copyright Wright Group/McGraw-Hill 8 5 = 7 6 = 8 8 = 9 7 = 6 8 = 9 9 = 4 8 = 8 3 = 9 5 = 7 7 = 7 8 = 9 6 = 4 9 = 9 8 = Multiplication Facts Survey = 9 3 = 8 5 = 7 6 = 8 8 = 9 7 = 6 8 = 9 9 = 4 8 = 8 3 = 9 5 = 7 7 = 7 8 = 9 6 = 4 9 = 9 8 = 438A

8 Multiplication Facts Survey = 8 5 = 9 7 = 6 8 = 9 9 = 4 8 = 8 3 = 6 6 = 9 5 = 7 7 = 7 8 = 9 3 = Copyright Wright Group/McGraw-Hill 7 6 = 9 6 = 4 9 = 9 8 = Multiplication Facts Survey = 8 5 = 9 7 = 6 8 = 9 9 = 4 8 = 8 3 = 6 6 = 9 5 = 7 7 = 7 8 = 9 3 = Copyright Wright Group/McGraw-Hill 7 6 = 9 6 = 4 9 = 9 8 = 438B

9 Multiplication Facts Survey = 8 3 = Copyright Wright Group/McGraw-Hill 9 7 = 6 6 = 6 8 = 8 8 = 8 5 = 9 3 = 9 9 = 7 7 = 9 6 = 9 8 = 7 8 = 7 6 = 4 9 = 9 5 = Multiplication Facts Survey 3 Copyright Wright Group/McGraw-Hill 4 8 = 8 3 = 9 7 = 6 6 = 6 8 = 8 8 = 8 5 = 9 3 = 9 9 = 7 7 = 9 6 = 9 8 = 7 8 = 7 6 = 4 9 = 9 5 = 438C

### 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

### 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

### 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

### 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

### 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 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

### 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

### 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

### 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

### 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 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

### 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

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

### 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

### 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.

### 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

### 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

### 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

### 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

### 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

### 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

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

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

### The Distributive Property

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

### 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

### 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

### 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

### 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

### 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

### 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.

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

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Hidden Treasure: A Coordinate Game Objective To reinforce students understanding of coordinate grid structures and vocabulary. 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

### 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

### 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

### 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

### 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

### 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

### 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 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

### 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

### Box Plots. Objectives To create, read, and interpret box plots; and to find the interquartile range of a data set. Family Letters

Bo Plots Objectives To create, read, and interpret bo plots; and to find the interquartile range of a data set. 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

### 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

### 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

### 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

### 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

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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.

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ddition with hree or More ddends Objective o guide children as they solve number stories having three or more addends. www.everydaymathonline.com epresentations eoolkit lgorithms Practice EM Facts Workshop

### 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

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

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