Diese Präsentation wurde erfolgreich gemeldet.
Wir verwenden Ihre LinkedIn Profilangaben und Informationen zu Ihren Aktivitäten, um Anzeigen zu personalisieren und Ihnen relevantere Inhalte anzuzeigen. Sie können Ihre Anzeigeneinstellungen jederzeit ändern.
I wonder how many differentarrays you can make for 24?• Record all your thinking and thedifferent arrays on paper.• What a...
Noticing• What is the same about allthe arrays?• What is different about them?• What do you notice about thenumber of rows...
Teaching tips• Focusing their attention to thestructure and possibly to noticingthe commutative facts in eachinstance, e.g...
• If such connections are not forthcomingfrom students, list all the facts for 24vertically on the board in sequential ord...
4 rows of 6Possible arraysDifferent arrays for 24
Possible arraysDifferent arrays for 246 rows of 4
Possible arraysDifferent arrays for 242 rows of 12
Possible arraysDifferent arrays for 2412 rows of 2
Different arrays for 241 row of 24Possible arrays
Different arrays for 2424 rows of 1Possible arrays
Different arrays for 243 rows of 8Possible arraysPossible arrays
Different arrays for 248 rows of 3Possible arraysPossible arrays
Different arrays for 246 rows of 4Possible arrays
Different arrays for 244 rows of 6Possible arrays
Different arrays for 248 rows of 3Possible arrays
Different arrays for 243 rows of 8Possible arrays
Different arrays for 241 row of 24Possible arrays
Different arrays for 242 rows of 12Possible arrays
Nächste SlideShare
Wird geladen in …5
×

Top Drawer Teachers: Possible Arrays

7.319 Aufrufe

Veröffentlicht am

Top Drawer Teachers
The Australian Association of Mathematics Teachers (AAMT) Inc.
http://topdrawer.aamt.edu.au

Veröffentlicht in: Bildung, Technologie
  • ⇒⇒⇒WRITE-MY-PAPER.net ⇐⇐⇐ I love this site. It always finds me the best tutors in accordance with my needs. I have been using it since last year. The prices are not expensive compared to other sites. I am glad I discored this site:)
       Antworten 
    Sind Sie sicher, dass Sie …  Ja  Nein
    Ihre Nachricht erscheint hier
  • Follow the link, new dating source: ♥♥♥ http://bit.ly/369VOVb ♥♥♥
       Antworten 
    Sind Sie sicher, dass Sie …  Ja  Nein
    Ihre Nachricht erscheint hier
  • Dating for everyone is here: ❶❶❶ http://bit.ly/369VOVb ❶❶❶
       Antworten 
    Sind Sie sicher, dass Sie …  Ja  Nein
    Ihre Nachricht erscheint hier
  • Gehören Sie zu den Ersten, denen das gefällt!

Top Drawer Teachers: Possible Arrays

  1. 1. I wonder how many differentarrays you can make for 24?• Record all your thinking and thedifferent arrays on paper.• What are some interesting thingsyou notice?• How do you know if you havethem all?Possible arrays
  2. 2. Noticing• What is the same about allthe arrays?• What is different about them?• What do you notice about thenumber of rows and number oftiles in each row?Possible arrays
  3. 3. Teaching tips• Focusing their attention to thestructure and possibly to noticingthe commutative facts in eachinstance, e.g., 6 × 4 and 4 × 6.• This might prompt a discussionof the pairs of factors for each(e.g., 3, 4) and the factors for 24(i.e., 1, 2, 3, 4, 6, 8, 12, 24).• It could also lead to noticingrelationships in factor pairs, e.g.,6 × 4 = 3 × 8 (doubling and halving).Possible arrays
  4. 4. • If such connections are not forthcomingfrom students, list all the facts for 24vertically on the board in sequential order(e.g., 1× 24, 2 × 12, 3 × 8, 4 × 6, 6 × 4, 8 × 3,12 × 2, 24 × 1)• Ask students to look for connectionsbetween them.• Having the visual of each array will alsoassist them to see the doubling and halvingrelationship.Teaching tipsPossible arrays
  5. 5. 4 rows of 6Possible arraysDifferent arrays for 24
  6. 6. Possible arraysDifferent arrays for 246 rows of 4
  7. 7. Possible arraysDifferent arrays for 242 rows of 12
  8. 8. Possible arraysDifferent arrays for 2412 rows of 2
  9. 9. Different arrays for 241 row of 24Possible arrays
  10. 10. Different arrays for 2424 rows of 1Possible arrays
  11. 11. Different arrays for 243 rows of 8Possible arraysPossible arrays
  12. 12. Different arrays for 248 rows of 3Possible arraysPossible arrays
  13. 13. Different arrays for 246 rows of 4Possible arrays
  14. 14. Different arrays for 244 rows of 6Possible arrays
  15. 15. Different arrays for 248 rows of 3Possible arrays
  16. 16. Different arrays for 243 rows of 8Possible arrays
  17. 17. Different arrays for 241 row of 24Possible arrays
  18. 18. Different arrays for 242 rows of 12Possible arrays

×