I can not believe we are already in the second semester! Here is what is going on in the Math Lab for January.
Kindergarten: Representing numbers in various ways and Decomposing numbers 1st Grade: Fact Families 2nd Grade: Doubles Plus 1 and Doubles Plus 2 3rd Grade: Using multiples of 10 when subtracting (Example 127= First change the 13 to a 10 and do 107=3. Then add on the 2 more to make 5) 4th Grade: Finish up doubling when multiplying by 2, 4, or 8 and work on doubling one of the factors and halving the other factors when multiplying bigger numbers. 5th Grade: Reviewing Greatest Common Factor and Least Common Multiple to help them be successful with fractions in the classroom. We are still working on finishing up the 24 tournament for the 2nd quarter and will post the results once we are finished.
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1 Dot: Can you make 3 using 6 and 11 or 10 and 13? How? 2 Dots: Can you make 8 using 11/1/3 or 7/12/3? How? 3 Dots: Can you make 24 using 11/5/8 or 12/11/21? How? Intermediate: 1 Dot: How can you make 24 using 1, 5, 2, and 6? 2 Dots: How can you make 24 using 9, 1, 4, and 2? 3 Dots: How can you make 24 using 4, 5, 7, and 5? 1) If a kindergarten teacher places her children 4 on a bench, there will be 3 children who will not have a place. However, if 5 children are placed on each bench, there will be 2 empty spaces. What is the smallest number of children the class could have?
2) If the digits A, B, and C are added, the sum is the twodigit number AB as shown below. What is the value of C? A + C A B 3) When I open my mathematics book, there are two pages which face me and the product of the two page numbers is 1806. What are the two page numbers? Solutions: 1) Since the number of children is 3 more than a multiple of 4, that number could be 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, . . . Since the number of children is 2 less than a multiple of 5, the number could be 3, 8, 13, 18, 23, 28, 33, 28, 43, . . . The numbers satisfying both conditions are 23, 43, 63, 83, and so forth. The smallest of these numbers is 23. Thus, there are 23 children in the class. 2) In the units column, notice that the sum of A, B, and C ends in B. Then A + C = 10. Since A is also the tens digit of the sum, A must be 1. Therefore C = 9. 3) If page numbers are in the 40s, then the product is greater than 1,600. If the page numbers are in the 50s, then the product is greater than 2,500. Clearly the page numbers must be in the 40s. Since the two page numbers are consecutive numbers, the units digits must be 2 and 3, or 7 and 8. Try 42 and 43. They work! (Page numbers 47 and 48 don't work). 
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June 2019
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