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Helping students make their own multiplication chart

Helping students make their own multiplication chart. Helping Students make their own chart:. Links for Multiplication charts. www.math-aids.com http://www.mathsisfun.com/multiplication-table-bw.html http://www.helpingwithmath.com/printables/tables_charts/cha0301multiplication144.htm.

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Helping students make their own multiplication chart

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  1. Helping students make their own multiplication chart Helping Students make their own chart:

  2. Links for Multiplication charts www.math-aids.com http://www.mathsisfun.com/multiplication-table-bw.html http://www.helpingwithmath.com/printables/tables_charts/cha0301multiplication144.htm

  3. Words in Math that are clues to operation required…..

  4. Divisibility Rules 2 - 3 Divisible by 2 IF The last digit is even (0,2,4,6,8) Example: 128 is129 is not ∞∞∞∞ Divisible by 3 IF The sum of the digits is divisible by 3 Example: 381 (3+8+1=12, and 12÷3 = 4) Yes 217 (2+1+7=10, and 10÷3 = 3 1/3) No

  5. Divisibility Rules 4 - 5 DIVISIBLE BY 4 IF The last 2 digits are divisible by 4 EXAMPLE 1312 is (12÷4=3)7019 is not ∞∞∞∞ DIVISIBLE BY 5IF The last digit is 0 or 5 EXAMPLE: 175 is AND 809 is not ∞∞∞∞

  6. Divisibility Rules 6 - 7 DIVISIBLE BY 6IF The number is divisible by both 2 and 3 114 (it is even, and 1+1+4=6 and 6÷3 = 2) Yes308 (it is even, but 3+0+8=11 and 11÷3 = 3 2/3) No ∞∞∞∞ DIVISIBLE by 7 IF If you double the last digit and subtract it from the rest of the number and the answer is: 0, or divisible by 7 (Note: you can apply this rule to that answer again if you want) 672 (Double 2 is 4, 67-4=63, and 63÷7=9) Yes 905 (Double 5 is 10, 90-10=80, and 80÷7=11 3/7) No ∞∞∞∞

  7. Divisibility Rules 8 - 9 DIVISIBLE 8 IF The last three digits are divisible by 8 109816 (816÷8=102) Yes 216302 (302÷8=37 3/4) No ∞∞∞∞ DIVISIBLE 9 IF The sum of the digits is divisible by 9(Note: you can apply this rule to that answer again if you want) 1629 (1+6+2+9=18, and again, 1+8=9) Yes 2013 (2+0+1+3=6) No

  8. Divisibility Rules 10 - 12 DIVISIBLE BY 10 IF The number ends in 0 220is BUT 221 is not ∞∞∞∞ DIVISIBLE BY 11 IF If you sum every second digit and then subtract all other digits and the answer is: 0, or divisible by 11 EXAMPLES: 1364 ((3+4) - (1+6) = 0) Yes 3729 ((7+9) - (3+2) = 11) Yes 25176 ((5+7) - (2+1+6) = 3) No ∞∞∞∞ DIVISIBLE BY 12 IF The number is divisible by both 3 and 4 EXAMPLE: 648 (By 3? 6+4+8=18 and 18÷3=6 Yes. By 4? 48÷4=12 Yes) Yes 524  (By 3? 5+2+4=11, 11÷3= 3 2/3 No.  Don't need to check by 4.) No

  9. Divisibility Rules links http://www.math-aids.com/Division/Divisibility_Test_Handout.html http://www.helpingwithmath.com/by_subject/division/div_divisibility_rules.htm

  10. Common & Least Common Multiples A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, .... The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.

  11. Least Common Multiples

  12. Least Common Multiple The least common multiple, or LCM, is another number that's useful in solving many math problems. Let's find the LCM of 30 and 45. One way to find the least common multiple of two numbers is to first list the prime factors of each number. 30 = 2 × 3 × 5 45 = 3 × 3 × 5

  13. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs. 2: one occurrence 3: two occurrences 5: one occurrence 2 × 3 × 3 × 5 = 90 <— LCM After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers.

  14. EXAMPLES 3, 9, 21Solution: List the prime factors of each.3: 3 9: 3 × 3 21: 3 × 7Multiply each factor the greatest number of times it occurs in any of the numbers. 9 has two 3s, and 21 has one 7, so we multiply 3 two times, and 7 once. This gives us 63, the smallest number that can be divided evenly by 3, 9, and 21. We check our work by verifying that 63 can be divided evenly by 3, 9, and 21. ∞∞∞∞ 12, 80 Solution: List the prime factors of each.12: 2 × 2 × 3 80: 2 × 2 × 2 × 2 × 5 = 80 Multiply each factor the greatest number of times it occurs in either number. 12 has one 3, and 80 has four 2's and one 5, so we multiply 2 four times, 3 once, and five once. This gives us 240, the smallest number that can be divided by both 12 and 80. We check our work by verifying that 240 can be divided by both 12 and 80

  15. Find the LCM with a calculator!! http://www.calculatorsoup.com/calculators/math/lcm.php

  16. Finding Equivalent Fractions:

  17. Equivalent Fraction Links http://www.dr-mikes-math-games-for-kids.com/equivalent-fractions-calculator.html http://www.helpwithfractions.com/fraction-calculator/

  18. Teaching Squares and Square Roots

  19. Squares and Square Roots

  20. Fact Family

  21. Fact Family

  22. The numbers along the left side and top are factors. The numbers inside are products To use the multiplication table to find the product of 3 and 9, locate 3 in the first column and then find 9 in the top row. Follow the 3 row to where it meets the 9 column. The number in the square where the column and row meet is the product. See the shaded area in the table below.3 x 9 = 27

  23. Another way to find the product of 3 and 9 on the multiplication table is to locate 9 in the first column and then 3 in the top row. See the shaded area in the table below.3 x 9 = 27

  24. A multiplication table can also be used to find missing factors in multiplication and division sentences. Finding a missing factor in multiplication is similar to finding a quotient in division. Use the multiplication table below to find the missing factor in5 x n = 20. Locate 5 in the first column and move across the row to 20. The number in the square at the top of the column is the missing factor. 5 x 4 = 20

  25. To find the quotient in 20 ÷ 5 = n, follow the same steps as for 5 x 4 = 20 above. The number in the square at the left end of the row is the quotient.20 ÷ 5 = 4 Making the connection between missing factors in multiplication sentences and quotients in division will help students better understand the relationship between the two operations.

  26. A multiplication table can also be used to reinforce students' understanding of other math concepts, such as the Commutative Property of Multiplication and inverse operations. Look at the multiplication table below. The table shows 3 x 6 = 18.  It also shows 6 x 3 = 18 Because the Commutative Property of Multiplication states that changing the order of the factors does not change the product. The inverse, or opposite, of multiplication is division. So the table also shows  18 ÷ 3 = 6 and 18 ÷ 6 = 3. These four number sentences each use the same three numbers: 3, 6, and 18. Related number sentences that use the same numbers are called a fact family

  27. Some fact families have only two related number sentences. The multiplication table below shows the fact family for 7 and 49. The fact family for 7 and 49 is  7 x 7 = 49  and  49 ÷ 7 = 7.  There is only one multiplication sentence in this fact family because the factors are the same number. There is only one division sentence because the divisor and quotient are the same number.

  28. http://www.vertex42.com/Files/pdfs/2/school-reward-chart.pdf Click the link above. The progress chart can be printed and used to graph goals in math.

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