4'4 PartialQuotients Algorithm Strategies

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4.4 Partial-Quotients Algorithm Strategies
Made by Kari Kracht to follow the Everyday
Mathematics Lesson
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Math Message

• Write a 3-digit number that is divisible by 6.
• When you finish, make sure that you have finished
  math journal page 105.
• Follow-Up
• What did you come up with?
• How did you know your number was divisible by 6?

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Mental Math and Reflexes

• Write the answer with a whole-number remainder or
  a fraction remainder.

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What are we working on?

• 1. Know and use multiplication facts, related
  division facts, and extended facts.
• 2. Divide using a friendly number strategy with
  the partial-quotients algorithm.
• 3. Divide using an at leastnot more than
  strategy with the partial-quotients algorithm.

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GAME TIME Divisibility Dash

• SRB page 302
• Materials
• Number cards 0-9
• Number cards 2, 3, 5, 6, 9, and 10 (2 of each)
• Object
• To discard ALL cards

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Divisibility Dash SRB page 302

• Directions
• 1. Shuffle the divisor cards (2, 3, 5, 6, 9, and
  10) and place them face down on the table.
• 2. Deal 8 draw cards (0-9) to each player place
  the left-over cards in a pile next to the divisor
  cards.
• 3. For each round, flip over the top divisor
  card.
• On your turn, use the cards in your hand to make
  2-digit numbers that are multiples of the divisor
  card. Make as many as you can. (You can not use
  a card twice.)
• Place all the cards you used in a discard pile
• If you cant make a 2-digit number that is a
  multiple of the divisor card, you must take a
  card from the draw pile.

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Divisibility Dash SRB page 302

• Directions continued
• 4. If a player disagrees that a 2-digit number
  is a multiple of the divisor card, that player
  may challenge. Any numbers that are not
  multiples of the divisor card must be returned to
  the players hand.
• 5. If the draw pile or divisor cards have all
  been used, they can be reshuffled and put back
  into play.
• 6. The first player to discard all of his/her
  cards wins.

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Reviewing Partial-Quotients

• Refer to SRB page 22 for help!
• Use a series of at leastnot more than multiples
  of the divisor.
• Start with easy numbers, such as 100 times the
  divisor or 10 times the divisor.

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Lets do an Example

• 6 1,010
• Are there at least 100 6s in 1,010?
• YES, 100 6 600
• Are there at least 200 6s in 1,010?
• NO, 200 6 1,200
• SO, there are AT LEAST 100 6s in 1,010 but NOT
  MORE THAN 200 6s in 1,010.

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Finishing the Example

• 6 1,010

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Practice

• Ill draw cards for the dividend and divisor.
• With your partner, use partial-quotients to solve
  the problem.
• How did you solve the problem? What numbers did
  you use?

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HOMEWORK

• Study-Link 4-4 Division

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Prime Time Task Day 2

• Finish Math Boxes on journal page 105
• DONT FORGET TO TURN IN YOUR HOMEWORK!

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More Practice with Division

• Math Journal page 106 107.

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Math Boxes

• 4.4 Math Boxes Math Journal page 108.

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If necessary

• More practice Lesson 4.4 Division Practice
  (Math Masters page 111)