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3.4 Algorithms for Multiplication and Division

3.4 Algorithms for Multiplication and Division. Remember to Silence Your Cell Phone and Put It In Your Bag!. Modeling Multiplication. Base-Ten Blocks Concrete model Draw pictures Multiplying by a 1 digit number Repeated addition model Rectangular array model Area model

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3.4 Algorithms for Multiplication and Division

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  1. 3.4 Algorithms for Multiplication and Division Remember to Silence Your Cell Phone and Put It In Your Bag!

  2. Modeling Multiplication • Base-Ten Blocks • Concrete model • Draw pictures • Multiplying by a 1 digit number • Repeated addition model • Rectangular array model • Area model • Multiplying by a 2 digit number • Rectangular array model • Area model Note – Use the commutative property whenever it makes the problem easier!

  3. Multiplication Algorithms • Expanded Algorithm • Illustrates what is happening with the base-ten blocks • Bridges the modeling using base-ten blocks with the standard algorithm • Standard Algorithm

  4. Modeling Division • Base-Ten Blocks • Concrete model • Draw pictures • Finding how many subsets – repeated subtraction • Finding how many in each subset – sharing

  5. Division Algorithms • Repeated Subtraction Algorithm • Standard Algorithm

  6. Order of Operations • Compute within grouping symbols first, working from the inside out. • Compute powers. • Multiply and divide in order from left to right. • Add and subtract in order from left to right.

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