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August 19, 2015 Lesson 1.2: More Patterns in Division By the end of this lesson.... You will determine and explain why a number is divisible by 0, 3, 6 and 9 Divisibility rules make math MUCH easier... and FASTER! Its like ABC... 123... Follow the rules and KNOW YOUR TIMES TABLES August 19, 2015 Before we start... we need to review some important terms. Consecutive - numbers that come one after the other without any numbers missing. Sum - The answer to an addition problem Factor Pair - A pair of numbers multiplied together August 19, 2015 MathLAB ELBOW PARTNERS With your ELBOW PARTNER choose 15 consecutive 2 digit numbers. Use your calculators to determine which numbers are divisible by 3, 9 and 0. USE THE CHART IN YOUR WORK BOOK.... 2 digit number Divisible by 3 Yes or No Divisible by 9 Yes or No Divisible by 0 Yes or No August 19, 2015 What did you figure out?? Divisibility Test for 3 and 9: 1) List the numbers that are divisible by 3 2) Add up the digits of these numbers. 3) What do you notice? Numbers that are Sum of the digits Numbers that are divisible by 3 Sum of the digits divisible by 9 August 19, 2015 What did you figure out?? Divisibility Test for 0: 1) What do you notice? 2) What do you think this means? August 19, 2015 Divisibility Rules for 3, 6, 9 and 0 Divisibility by 3: If the sum of the digits is divisible by 3, the whole number is divisible by 3 Divisibility by 6: If the number is divisible by 2 and 3 it is also divisible by 6 Divisibility by 9: If the sum of the digits is divisible by 9, the whole number is divisible by 9 Divisibility by 0: No numbers are divisible by 0... you can't divide things into 0 groups! August 19, 2015 Check for Understanding - Where do these numbers fit? 12 56 42 88 Divisible by 2 453 135 246 Divisible by 3 What can we say about the numbers in the overlapping region?? 728 August 19, 2015 Check for Understanding - Where do these numbers fit? 230 45 1064 506 August 19, 2015 Carroll Diagrams A Carroll diagram is another way we can sort numbers. Let's show this by example. Sort the following number into the proper region 435 789 616 1065 543 800 August 19, 2015 Carroll Diagrams Sort the following number into the proper region August 19, 2015 Why Do We Learn Divisibility Rules?? One reason we learn the divisibility rules to help us find all the factor pairs of a number. Example: Find all the factor pairs of 45 Example: Find all the factor pairs of 120 August 19, 2015 YOUR TURN 1) Assigned work: Pg. 12 & 13 #1, 2, 3, 6, 8 and 9a 2) Complete the Assessment Focus Question and have it checked by Mrs. French 3) Challenge Questions: Pg. 13 #10 (These are questions you need to be able to complete and understand if you are looking to get honors mark in Math)