1 / 11

Patterns and Multiplication

Patterns and Multiplication. Patterns. Math is full of them. Like Multiplication (multiples). Multiplication It’s just really fast addition by jumping. 4 x 3 =. 0. 1 2. 3. 4 5. 6. 7 8. 9. 10 11. 12. 4 x 3 = 3 + 3 + 3 + 3 = 12. Each addition of 3 is called a “ Multiple ” of 3.

mura
Download Presentation

Patterns and Multiplication

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Patterns and Multiplication

  2. Patterns Math is full of them Like Multiplication (multiples)

  3. MultiplicationIt’s just really fast addition by jumping 4 x 3 = 0 1 2 3 4 5 6 7 8 9 10 11 12 4 x 3 = 3 + 3 + 3 + 3 = 12

  4. Each addition of 3 is called a “Multiple” of 3 3, 6, 9, and 12 are multiples (jumps) of 3 starting with 1 three 0 1 2 3 4 5 6 7 8 9 10 11 12 1 three 1 x 3 2 threes 2 x 3 3 threes 3 x 3 4 threes 4 x 3 The pattern is called an arithmetic progression

  5. In grade school you learned these progressions by memorizing the multiplication table. By memorizing these progressions they become very easy to recognize and use in more complicated math patterns like factoring

  6. What are multiples of 4 starting with two 4’s or 8 Starting at 8 you count by 4’s or jump every 4 or add a 4 for each multiple 8 12 16 20 24 13 14 15 17 18 19 9 10 11 21 22 23 8, 12, 16, 20, 24 are all multiples of 4. That means they fit in the pattern of 4’s or fit the arithmetic progression.

  7. Student Practice #1 Starting at 36 find 4 multiples of 6 Click for answer 36 42 48 54 60 42, 48, 54, 60 are all multiples of 6.

  8. Student Practice #2 Starting at 12 x 8 or 12 eights, find 4 multiples of 8 Click for answer 96 104 112 120 128 104, 112, 120, 128 are all multiples of 6 and they represent 8x13, 8x14, 8x15, 8x16

  9. Student Practice #3 more challenging Starting at 4 x 16, find 4 multiples of 16 and write the multiplication problem each represent. Click for answer 64 80 96 112 128 80, 96, 112, 128 are all multiples of 16 and they represent 16x5, 16x6, 16x7, 16x8 Stop here unless your students want more of challenge

  10. Multiples don’t have to be nice numbers, they can be decimals or fractions. Starting at 3 you count by 3/4’s or 0.75 and each jump would be a multiple 0.75 3.00 3.75 4.50 5.25 6.00 Generally we don’t call these multiples because they aren’t nice numbers but they really are multiples of 0.75 What other patterns do you notice here? Could you ignore the decimal point and just find multiples of 75 starting at 300 then put the decimal point back in when you’re done?

  11. Student Practice #4 challenging Starting at 4 x 0.6 find 4 multiples of 0.6 and the multiplication problems they represent Click for answer 2.4 3.0 3.6 4.2 4.8 3.0, 3.6, 4.2, 4.8 are all multiples of 0.6 and they represent 0.6x5, 0.6x6, 0.6x7, 0.6x8

More Related