Unit 7: Extending Multiplication and Fractions
Parent Resources
Activities/Tutorials
Multiplication and Division on Pinterest Visit MLC's Pinterest Board for ideas that explore multiplication and division.
Arrays, Multiplication, and Division This article explains how array models can be used to help students develop understanding of multiplication and division.
Multiplication of Whole Numbers: Using a Multiplication Array If you are new to the array model, or want to share this link with families who want to help their child at home, consider watching this demonstration. Using the fast forward button (>>), skip ahead to Session 4, "Multiplication of Whole Numbers: Using a Multiplication Array", to see 26 x 13 modeled on an array.
Young Mathematicians at Work: Constructing Multiplication & Division Catherine Fosnot and Maarten Dolk explore how 3rd-5th grade students construct knowledge of multiplication and division. Chapter 6 discusses how the array model relates to algorithms.
Egg Carton Virtual Manipulative Click and drag cartons, eggs, and strings to build visual models of egg carton fractions.
Fraction Bars Create fraction bars of different sizes and colors to model fractions.
Fraction Strips In this Annenberg Learner professional development video, Fraction Strips #33, first and second grade students make construction paper fraction strips and play a game with the pieces.
Identify a Fraction as a Point on a Number Line This video from Learn Zillion demonstrates how to divide a number line into equal parts in order to identify a fraction on the line.
Single Fraction Finder View a fraction on a number line and build a visual representation of the same fraction as the area of a square or circle.
Apps/Student Tools
Number Pieces & Number Pieces Basic With this virtual version of Number Pieces, students can represent larger numbers and multiplication and division concepts. Number Pieces Basic is a simplified version for use with primary students. Available for iPads or online.
Fraction Pieces Choose a square or circle as the whole and then place pieces of different sizes and shapes on the whole to see what fraction each represents.
Fractions, Parts of a Whole Model fractions as parts of a whole circle or square. Specify the number of equal parts and then select some of them to model a fraction.
Books
The link below will direct you to books that can be purchased at Amazon. These were added with the intention of providing a list of appropriate books that they could check out from our local library. This link was chosen because you can preview the books and see what the cover looks like so it will be easier to find at the library.
Multiplication and Division Books Visit the Math Learning Center Virtual Bookshelf for titles on multiplication and division.
Fraction Books Visit the Math Learning Center Virtual Bookshelf for titles with fraction themes.
Ten Times Better Multiply single digits by ten in this animal counting book.
The Best of Times This Greg Tang book explores strategies for basic multiplication. The book may also be viewed online.
Multiplication and Division on Pinterest Visit MLC's Pinterest Board for ideas that explore multiplication and division.
Arrays, Multiplication, and Division This article explains how array models can be used to help students develop understanding of multiplication and division.
Multiplication of Whole Numbers: Using a Multiplication Array If you are new to the array model, or want to share this link with families who want to help their child at home, consider watching this demonstration. Using the fast forward button (>>), skip ahead to Session 4, "Multiplication of Whole Numbers: Using a Multiplication Array", to see 26 x 13 modeled on an array.
Young Mathematicians at Work: Constructing Multiplication & Division Catherine Fosnot and Maarten Dolk explore how 3rd-5th grade students construct knowledge of multiplication and division. Chapter 6 discusses how the array model relates to algorithms.
Egg Carton Virtual Manipulative Click and drag cartons, eggs, and strings to build visual models of egg carton fractions.
Fraction Bars Create fraction bars of different sizes and colors to model fractions.
Fraction Strips In this Annenberg Learner professional development video, Fraction Strips #33, first and second grade students make construction paper fraction strips and play a game with the pieces.
Identify a Fraction as a Point on a Number Line This video from Learn Zillion demonstrates how to divide a number line into equal parts in order to identify a fraction on the line.
Single Fraction Finder View a fraction on a number line and build a visual representation of the same fraction as the area of a square or circle.
Apps/Student Tools
Number Pieces & Number Pieces Basic With this virtual version of Number Pieces, students can represent larger numbers and multiplication and division concepts. Number Pieces Basic is a simplified version for use with primary students. Available for iPads or online.
Fraction Pieces Choose a square or circle as the whole and then place pieces of different sizes and shapes on the whole to see what fraction each represents.
Fractions, Parts of a Whole Model fractions as parts of a whole circle or square. Specify the number of equal parts and then select some of them to model a fraction.
Books
The link below will direct you to books that can be purchased at Amazon. These were added with the intention of providing a list of appropriate books that they could check out from our local library. This link was chosen because you can preview the books and see what the cover looks like so it will be easier to find at the library.
Multiplication and Division Books Visit the Math Learning Center Virtual Bookshelf for titles on multiplication and division.
Fraction Books Visit the Math Learning Center Virtual Bookshelf for titles with fraction themes.
Ten Times Better Multiply single digits by ten in this animal counting book.
The Best of Times This Greg Tang book explores strategies for basic multiplication. The book may also be viewed online.
Games for Kids
Camel Times Tables Determine the total number of pieces of fruit on a tray holding plates that each have the same number of pieces of fruit.
Grid Method Choose any numbers (up to 2-digit by 3-digit) for a multi-digit multiplication expression. Solve as partial products, then add the parts together.
Math Magician Using this timed program, student practice facts, selecting from addition, subtraction, multiplication & division. You can specify exact facts to practice. Example: practice +3 addition facts, 20 questions in 1 minute.
MathTappers: Multiples Learners make sense of multiplication & division using visual models with arrays in a series of games and activities on this free mobile app.
Meteor Multiplication As meteors with multiplication problems approach a star station showing a given product, fire them down by clicking on the expression that goes with the product.
Multiplication Grand Prix Race against the computer or other students by clicking on the correct product in a series of multiplication problems. Also try a similar game, Tractor Multiplication.
Multiplication with Arrays Drag the sliders to model multiplication with an array. As the array is built, the corresponding algorithm is instantly formed.
Repeated Sets - Game Version Count the number of bags and the total fruit in each bag to calculate the total. See how many sets you can count in 60 seconds. TESiboard activity. A Teaching Tool version of this activity is also available.
Sum Sense Multiplication Drag and drop number cards--with unknowns in all positions--to make a multiplication equation.
Bamzooki Multiplication & Division Click on the correct number to answer a variety of problems including: single digit multiplication, 2 digit x 1 digit multiplication, and 3 digit/1 digit division with remainders.
Concentration Click on the desired mode to play a game in which you match each shape, array, percent, or fraction visual with its name. The game will play an audio recording of the name.
Fraction Feud Drag and drop number cards to create fractions that are larger or smaller than your opponent's. On the Calculation Nation homepage, use "guest pass" to access the game list and play against the computer. Click on the title, Fraction Feud
Mathman Fractions View a dot on a number line, determine the fraction, then eat the ghost with that fraction to earn points.
Measurement Workshop Using the "build" option, select a mode (whole numbers, whole and half numbers, decimals, or fractions), then click on the preferred type of measurement (imperial or metric) and use rulers to build a ruler city. In "play" mode, the buildings are created by the computer and players must measure them. Watch an instructional video here.
Melvin's Make a Match Click on bottles to match equivalent fractions in this Cyberchase game.
Ordering Fractions Game Click and drag fractions to put in vertical order. The first level uses unit fractions; subsequent levels contain fractions with unlike denominators.
Shading Blocks Color blocks to represent a given fraction. Five levels from which to select. At the lowest level players shade in 1/2 of 4,6,8, or 10; at the highest level, shade in 1/3 or 2/3 of 6, 9, or 12. TESiboard activity.
Battleship Numberline: Fractions Click on a 0-1 number line to identify where a given fraction is located.
Fraction Tracks In this 2 player game, students must add, compare, and find equivalent fractions in order to race from 0-1, moving across a series of fraction tracks.
Fractions Naming Write the fraction represented by the highlighted part of a shape.
Pizza Bears Bears share pizzas. Select from 1-5 bears and 1-6 pizzas. Teaching tool for whole group instruction. Answers are not given; it's meant to be used as a manipulative for exploration. Use a knife to cut pizzas into desired number of pieces.
Slide to the Top Arrange numbers from least to greatest on a number line. Work quickly and accurately to better your score. Choose from fractions, fractions & decimals, and fractions/decimals/percents
*Adapted from Bridges in Mathematics, The Math Learning Center Salem, Oregon by Danielle Baumgart Chippewa Valley Schools, 2015