• Unit 2 - Multiplication and Division
     
     
    Objective:
     -3.OA.1 Interpret products of whole numbers, e.g., interpret 5 X 7 as the total number of objects in 5 groups of 7 objects each.  For example, describe a context in which a total number of objects can be expressed as 5 X 7.
     
    - 3.OA.2 Interpret whole-number quotients of whole numbers, e.g., interpret 56/8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares of 8 objects each.  For example, describe a context in which a number of shares or a number of groups can be expressed as 56/8.
     
    - 3.OA.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measure quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
     
    - 3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 x ? =48, 5 = ? / 3, 6 x 6 = ? 
     
    - 3.OA.5 Apply properties of operations as strategies to multiply and divide.  (Commutative, Associative, and Distributive)
     
    - 3.OA.6 Understand division as an unknown-factor problem.
     
     
    Vocabulary Words:

    Array – objects or symbols displayed in rows of the same length and columns of the same length

    Dividend – a number that is being divided

    Division – to separate into equal groups

    Divisor – the number by which the dividend is being divided

    equations – a sentence that contains an equal sign (=) showing that two expressions are equal

    factor – a number that is multiplied by another number

    multiplication – an operation on two numbers to find the product.

    partitioning – a strategy for division in which divide into equal parts

    product – the answer to a multiplication problem

    quantity – how much there is of something

    quotient – the answer to a division problem

    repeated addition – ex: 4 x 2 = 2 + 2 + 2 + 2

    variable – a symbol for an unknown number

     
     

     

    Essential Questions:

     

    1. How are multiplication and division alike and different?

    2. How are multiplication and division related?

    3. How are subtraction and division alike and different?

    4. How can multiplication and division be used to solve real world problems?

    5. How can we connect multiplication and division facts with their array model?

    6. How can we model multiplication and division?

    7. How can we use patterns to solve problems?

    8. How can we write a mathematical sentence to represent a multiplication or division model that we have made?

    9. How is the commutative property of multiplication evident in an array model?

    10. Is there more than one way to divide a number to get the same quotient?

    11. What happens to the quotient when the dividend is increased or decreased?

     

    Websites:
    I have listed several websites below that will be helpful to you during this unit. Some of the websites have online games, others have worksheets that may help you practice with these skills. Feel free to use as much or as little as you'd like.
     
    VIDEOS FOR EACH STANDARD: 
     
     
     
     
     
     
     
    FACT PRACTICE GAMES: 
     
    WORD PROBLEMS: