1 / 16

Week 7

*Don’t forget to sign in!*. Week 7. What does the distribution property of multiplication mean? That is, what does 19 • 73 = (16 + 2 + 1) • 73 = 16 • 73 + 2 • 73 + 1 • 73

urban
Download Presentation

Week 7

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. *Don’t forget to sign in!* Week 7 What does the distribution property of multiplication mean? That is, what does 19 • 73 = (16 + 2 + 1) • 73 = 16 • 73 + 2 • 73 + 1 • 73 Tell us about multiplication? Write a sentence or two explanation of what distribution means (mathematically) for this example.

  2. Agenda • D2L Comment • Finish Exploration 3.13 • Class Notes • Videos • Area models • Assign homework

  3. Link the pictorial models • Suppose I want to multiply 3 • 4.

  4. Link the pictorial models • Suppose I want to multiply 3 • 40. • This is much harder to draw, but it can be done. Do you see 3 • 40 = ?

  5. 40 3 Link the pictorial models • As the numbers get bigger, it is harder to draw in all the little dots. But the area model will work well: 3 • 40:

  6. 15 7 Area Model • Let’s look a little closer: Let this be a unit square--that is, a square that measures 1 unit on each side. Then, this is a representation for 7 • 15.

  7. 10 + 5 7 70 + 35 Area Model • Look at this more closely: • This is the same as 7 • 10 + 7 • 5 • 7 • 10 and 7 • 5 are partial products.

  8. 10 + 10 + 10 + 2 10 + 4 Area Model • This idea works for more: 32 • 14 • Identify the partial products:

  9. 10 + 10 + 10 + 2 10 + 4 32 • 14 • Do you see 4 • 2? 4 • 30? 10 • 2? 10 • 30?Add the partial products.

  10. Area Model • You try: 46 • 23 Use the base 10 blocks or draw a picture. • Now, can you explain where these products are in the diagram? 46 • 23 = (46 • 20) + (46 • 3) or = (23 • 40) + (23 • 6)

  11. Compare models • Can you explain how this is related to the lattice multiplication model you did for Exploration 3.13? • Can you explain how this area model is related to the standard multiplication algorithm? • Can you explain how this area model is related to the four students’ models from the video on Friday?

  12. 25 • 4 + 4 • 4 Ryshawn and Nicholas 20 • 4 + 9 • 4

  13. Jemea 30 • 12 - 12

  14. Thomas 17 • 36 = ((17 • 10) • 3)+ (6 • 10) + (6 • 7)

  15. Homework • See course webpage for homework. • For Wednesday, print off division worksheet and bring to class.

More Related