Divisibility Rules

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  • Students in a grade 7 class were raising money for charity. Some students had a bowl-a-thon.

    This table shows the money that one student raised for different bowling times.What patterns do you see in the table?How long would the student have to bowl to raise $72?

    Time (h)Money Raised ($)18216324432540

  • What is meant by divisibility rules?A way to divide numbers quickly by following a pattern.Why is it important?Divisibility rules help us find the factors of a number.

  • Copy down the following numbers.

    Circle the ones that are divisible by 2.Place a square around the ones that are divisible by 5.Draw a triangle around the ones that divisible by 10.

    78273541012321004126795

  • A number is divisible by2If the whole number is even3If the sum of the digits is divisible by 34If the number formed by the last 2 digits is divisible by 45If the last digit is a 5 or a 06If the number is divisible by 3 and is even8If the number is divisible by 4 and the quotient is even9If the sum of the digits is divisible by 910If it ends in 0

  • Choose 3 different colors. Using one color, circle the numbers that are divisible by 2.

    3) Using a different color, circle all the numbers that are divisible by 4.4) Using your last color, circle all the numbers that are divisible by 8.Be able to discuss the following:Describe the patterns that you found.

  • Sort the following numbers based on the divisibility rules for 3 and 5 using both Carroll and Venn Diagrams.6, 8, 10, 15, 18, 25, 26, 36, 40, 45, 120

  • Carroll DiagramDivisible by 3Not Divisible by 3Divisible by 515 45 12010 25 40Not Divisible by 56 36 188 26

  • Divisible by 5Divisible by 3826102540618361545120

  • Grade 7:Work on pages 8 then 9 and the Pizazz sheet for final review