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Chapter 8. Mastering Whole Number Operations. Basic Facts. Addition and Multiplication involves all single digit addends and factors Addend plus addend equals sum Factor times factor equals product How many basic facts are there????. Basic Facts.
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Chapter 8 Mastering Whole Number Operations
Basic Facts • Addition and Multiplication involves all single digit addends and factors • Addend plus addend equals sum • Factor times factor equals product • How many basic facts are there????
Basic Facts • 100!!!! For each addition and multiplication • How???
Three Step Approach to Fact Mastery 1. Understand the meaning of the operations 2. Use thinking Strategies to Retrieve Facts *use facts that they know to figure out facts that they don’t i.e. 2+2 =4 so 2+3 must be one more than that * other stategies include counting on, counting back, skip counting, one more, one less…
Three step approach cont… 3. Using Consolidating Activities for Drill and Practice games , activities , worksheets all help children memorize these facts
Thinking Strategies for Addition and Subtraction • Counting on … 6+3 start from the 6 and count on three times seven, eight , nine • Remind children to start from the larger # regardless of order of the problem ..3+6 still starting at 6 and add on three more • This method works well for both addition and subtraction • Sometimes a calendar works as a good visual to use this method—see next slide
One more or one less • Use counters • Show two groups of 6 • “How much is 6+6?” • Add one more to one of the groups • Now we have 6 + 7. “How many altogether?” • One more than twelve • Count out 13 objects with students • 6+6 = 12 then 6 + 7 = 13
Compensation • One addend is increased while the other addend is decreased by trying to make one addend 10 • Use counters to model two piles 8 + 4=? • Manipulate counters so one pile has 10 • Now solve
Commutative Property of Addition and Multiplication • Order doesn’t matter • 3+5 = 5+3 3•5 = 5•3 However this does not work for Subtraction and Division 6-4 ≠ 4-6 24/6 ≠6/24
Calculator Game • 4 • 7 • 17 • 37 • 33 • 13 • 53 • 59 • 89
Calculator/ broken calculator • John’s calculator is broken. The number 4 key will not work. How may possible combinations can you come up with on the screen to get 4 without actually using 4? • John has a math problem for hw and he is still trying to use the same calculator to solve this problem 24-4= ? Can you help him rewrite this problem so he can use his calculator?