Multiples of 7 have a pattern of 7, 4, 1, 8, 5, 2, 9, 6, 3, 0 in the ones place. Multiples of 6 are every other multiple of 3. When a multiple of 2 and 3 overlap, you get a multiple of 6.Īll multiples of 6 are 6 away from each other. Multiples of 6 have a pattern of 6, 2, 8, 4, 0 in the ones place. Multiples of 5 have a pattern of 5, 0 in the ones place.Įvery other multiple of 5 is even every other multiple of 5 is odd.Įvery range of 10 contains two multiples of 5.Įvery other multiple of 5 is halfway between a 10. For example, “Tell me all you can about the ones place in multiples of 7.” and “What do you notice about the ones place in multiples of 7?” LET’S GET TO THOSE PATTERNS IN THE 120’S CHART “WHAT DO YOU NOTICE ABOUT (patterns in multiples of 7)?…”Īfter a general prompting round, you can direct students to look at specific characteristics of the multiples. “TELL ME ALL YOU CAN ABOUT (what patterns you see in multiples of 7)?…” When prompting students to find and describe patterns in multiples using a 120’s table, two of my favorite prompts are: My real hope is that your students come up with ideas that I didn’t even think of, that you prompt students and their classmates to continue testing their theories beyond the 120 table and that you prove or disprove those ideas. My goal is to provide you with a list of ideas that range from fairly obvious or basic to more sophisticated patterns that you can guide students to discover. This is a list that can support you as you guide students to look for patterns in multiplication fact families. To close, I'll give some times tables questions.CAUTION: The patterns in multiplication facts and noticings that I am sharing ARE NOT MEANT TO BE TAUGHT TO STUDENTS. Can you guess the pattern for 12 times 15, 16, 17 18 and 19? Then check with a calculator! You canĪnother way to remember this is as follows.Īnd so on.
The pattern in the ones digits continues forever :Ģ, 4, 6, 8, 0, 2, 4, 6, 8, 0, 2, 4, etc, etcĪs for the tens digits, they go up by 1 with each new row, but every fifth row, they get boosted by an extra one. Certainly the addition is easy enough for the first four rows in the table. Note first that 12 is 10 + 2, so 12 x something is 10 x something + 2 x something, Since the 10 and 2 times tables are often the first ones a child works out, they might be able to work out the twelve times table like this.
By the way, this site also has some free printable times table charts for you to download, including the 12 times table. If you can somehow get you kids to find these patterns for themselves, they'll remember them much longer than if you simply point the patterns out to them. You can use this page to show your kids the hidden patterns in the twelve times table, and make it easier for them to learn. Elsewhere on this site, I gave some general times tables tips.
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