math
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    Unit 3

    MAFS.3.OA.2.5 - Apply properties of operations as strategies to multiply and divide. Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) (DOK 2)

    Distributive Property Video

    MAFS.3.NBT.1.3 - Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations. (DOK 1) MAFS.OA.4.9 - Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that 4 times a number is always even, and explain why 4 times a number can be decomposed into two equal addends. (DOK 3)

    MAFS.3.OA.3.7 - Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers. (DOK 1)

    Unit 2

    • MAFS.3.OA.1.1- Interpret products of whole numbers, e.g., interpret 5 × 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 × 7. (DOK 1)

    Strategies for Multiplication

    • Equal Groups
    • Repeated Additon
    • Arrays

     

    • MAFS.3.OA.1.2 - 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, or as a number of shares when 56 objects are partitioned into equal 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. (DOK 1)

     

    • MAFS.3.OA.1.4 - 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 × ? = 48, 5 = [] ÷ 3, 6 × 6 = ?. (DOK 1) MAFS.3.OA.2.6 - Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8. (DOK 2)

     

    Unit 1

    • MAFS.3.NBT.1.1 - Use place value understanding to round whole numbers to the nearest 10 or 100. (DOK 1)

    • MAFS.3.NBT.1.2 - Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction. (DOK 1)

    • Strategies for Addition
      • Break apart strategy. You break apart each addend by its place value. Then add the numbers by their place value. 
      • Open Number Line: You make an open number line and start at one number and add up the other number using a number line. 
      • Place Value Model: You make the addends by drawing place value rods. The add by putting together the models. 
      • Standard Algorithm: The way you learned how to add when you were a child.