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Multiplication and Division in 3 rd Grade

Multiplication and Division in 3 rd Grade. Please sign in and get started on a worksheet at your table!. What’s new in multiplication?. Addition 3 + 2 = 5 3 cats + 2 cats = 5 cats Multiplication 3 × 2 = 6 3 groups × 2 cats = 6 cats. What’s division?. Multiplication 3 × 2 = 6

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Multiplication and Division in 3 rd Grade

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  1. Multiplication and Division in 3rd Grade Please sign in and get started on a worksheet at your table!

  2. What’s new in multiplication? Addition 3 + 2 = 5 3 cats + 2 cats = 5 cats Multiplication 3 × 2 = 6 3 groups × 2 cats = 6 cats

  3. What’s division? Multiplication 3 × 2 = 6 3 groups × 2 cats (units in each group) = 6 cats (total units) Division 6 ÷ 2 = 3 6 cats (total units) ÷ 3 groups = 2 cats (units in a group) 6 cats (total units) ÷ 2 cats (units in a group) = 3 groups We can also interpret division as missing factor problems. 3 × ____ = 6 ____ × 2 = 6

  4. Tools and Models

  5. Tools and Models

  6. Commutative Property You can switch the factors and get the same product.

  7. Distributive Property Multiplication expressions can be split into smaller multiplication expressions. When we add the smaller expressions together, we get the same amount as the original multiplication.

  8. Distributive Property A student knows multiplication facts ×5 and ×10. How could this student use what he or she knows to figure out 7×6? What about 9×8? Draw a picture to show a possible strategy.

  9. Distributive Property A student knows multiplication facts up to ×5. How could this student use what he or she knows to figure out 64 ÷ 8? Draw a picture to show a possible strategy.

  10. Associative Property We can multiply a series of factors in any order. (3 × 2) × 5 = 3 × (2 × 5) This also means that we can use basic multiplication facts to compute with larger numbers. 3 tens = 3 × 10 So we can think of 2 × 30 as (2 × 3) × 10 6 × 10 (or 6 tens) 60

  11. Associative Property Try to draw a diagram that proves (3 × 2) × 5 = 3 × (2 × 5)

  12. Area Model 5 × 4,408 2nd graders begin noticing patterns in arrays. Area model in 4th, using properties of multiplication and place value 34 × 26 Area model in 3rd

  13. Looking Ahead: Place Value Chart 162 × 6 1 group of 162

  14. Looking Ahead: Area Model 27 × 56

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