Multiplication -- More Than Repeated Addition and Times Tables.pdf

Feb 28, 20230 likes1,294 views

Multiplication is repeated addition... but it also means so much more than that! In this workshop, you will explore several fundamental meanings of this operation (e.g., equal groups, arrays and areas, how a quantity is “stretched,” etc.) through rich tasks that address each of these meanings. Also, you will explore and discuss relationships between the “basic facts.” More importantly, you will learn how to help your students see that these relationships extend to other types of numbers that they come across in BC’s intermediate and middle years mathematics curriculum (e.g., two-digit whole numbers, fractions, decimals, integers, etc.).

Multiplication: More Than Repeated
Addition and Times Tables
COTA Math Symposium • February 2023

Chris Hunter
K-12 Numeracy Helping Teacher
Surrey Schools
President-Elect
BCAMT
hunter_c@surreyschools.ca
@ChrisHunter36
chrishunter.ca

How many do you see? How do you see them?
chrishunter.ca

Marian Small
“The operations of addition, subtraction,
multiplication, and division hold the same
fundamental meanings no matter the domain
in which they are applied.”

What does
multiplication mean?
What does
look like?
3 × 4

• Repeated Addition
• Equal Groups or Sets
• Array
• Area of a Rectangle
• Rate/Comparison
• Combinations
Meanings
4 + 4 + 4

• Repeated Addition
• Equal Groups or Sets
• Array
• Area of a Rectangle
• Rate/Comparison
• Combinations
Meanings

• Repeated Addition
• Equal Groups or Sets
• Array
• Area of a Rectangle
• Rate/Comparison
• Combinations
Meanings
A B C D
A B C D
A B C D
A B C D
R
G
B

Automatic
Recall
Conceptual
Understanding
Strategic
Reasoning

Multiplication -- More Than Repeated Addition and Times Tables.pdf

6 × 9
3 × 7
3 × 6
4 × 6
2 × 6
6 × 2
6 × 7
6 × 10
6 × 5
6 × 9

apps.mathlearningcenter.org/partial-product-
fi
nder/

(2x + 5)(3x + 2)
(2x)(3x) + (2x)(2) + (5)(3x) + (5)(2)

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ON COOL CYBORG LEGS.
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ON COOL CYBORG LEGS.
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WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
ON COOL CYBORG LEGS.
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WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
ON COOL CYBORG LEGS.
WHO WEARS TERRIFIC BOOTS.
WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
ON COOL CYBORG LEGS.
WHO WEARS TERRIFIC BOOTS.
WHO SUCKS AT DANCING.
WEARING SPOOKY CAT FEET.
IN BUSINESS ATTIRE
MADE OF MEAT AND PAIN
IN BUSINESS ATTIRE
MADE OF MEAT AND PAIN
IN BUSINESS ATTIRE
MADE OF MEAT AND PAIN
A UNI PUG
A SPACE LOBSTER
A (HANDSOME) SALMON

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Multiplication -- More Than Repeated Addition and Times Tables.pdf

1. Multiplication: More Than Repeated Addition and Times Tables COTA Math Symposium • February 2023

2. Chris Hunter K-12 Numeracy Helping Teacher Surrey Schools President-Elect BCAMT hunter_c@surreyschools.ca @ChrisHunter36 chrishunter.ca

3. Chris Hunter K-12 Numeracy Helping Teacher Surrey Schools President-Elect BCAMT hunter_c@surreyschools.ca @ChrisHunter36 chrishunter.ca

4. Chris Hunter K-12 Numeracy Helping Teacher Surrey Schools President-Elect BCAMT hunter_c@surreyschools.ca @ChrisHunter36 chrishunter.ca

5. How many do you see? How do you see them? chrishunter.ca

6. ntimages.weebly.com

7. Marian Small “The operations of addition, subtraction, multiplication, and division hold the same fundamental meanings no matter the domain in which they are applied.”

8. What does multiplication mean? What does look like? 3 × 4

9. • Repeated Addition • Equal Groups or Sets • Array • Area of a Rectangle • Rate/Comparison • Combinations Meanings 4 + 4 + 4

10. • Repeated Addition • Equal Groups or Sets • Array • Area of a Rectangle • Rate/Comparison • Combinations Meanings

11. • Repeated Addition • Equal Groups or Sets • Array • Area of a Rectangle • Rate/Comparison • Combinations Meanings

12. • Repeated Addition • Equal Groups or Sets • Array • Area of a Rectangle • Rate/Comparison • Combinations Meanings

13. • Repeated Addition • Equal Groups or Sets • Array • Area of a Rectangle • Rate/Comparison • Combinations Meanings

14. • Repeated Addition • Equal Groups or Sets • Array • Area of a Rectangle • Rate/Comparison • Combinations Meanings

15. • Repeated Addition • Equal Groups or Sets • Array • Area of a Rectangle • Rate/Comparison • Combinations Meanings A B C D A B C D A B C D A B C D R G B

16. youcubed.org

17. Automatic Recall Conceptual Understanding Strategic Reasoning

18. 5 × 3 3 × 5

20. 5 × 3

21. 3 × 5

22. 2 × 6

23. 3 × 6 = (2 + 1) × 6

24. 3 × 6 = 2 × 6 + 1 × 6

25. 2 × 6

26. 4 × 6 = 2 × (2 × 6)

27. 6 × 10

28. 6 × 9 = 6 × (10 − 1)

29. 6 × 9 = 6 × 10 − 6 × 1

30. 6 × 7

31. 6 × 7 = 6 × (5 + 2)

32. 6 × 7 = 6 × 5 + 6 × 2

33. 6 × 9 3 × 7 3 × 6 4 × 6 2 × 6 6 × 2 6 × 7 6 × 10 6 × 5 6 × 9

34. 6 × 9 6 × 19 6 × 49 6 × 99 6 × 199

35. Number Talks

36. # of Packs # of Sticks 1 12

37. # of Packs # of Sticks 1 12 2 4 8 10 9

38. mathis fi gureoutable.com

39. g fl etchy.com

40. 25 32

41. apps.mathlearningcenter.org/partial-product- fi nder/

42. chrishunter.ca

43. (2x + 5)(3x + 2) (2x)(3x) + (2x)(2) + (5)(3x) + (5)(2)

44. Counting Collections

45. Counting Collections

46. 3 + 4 × 5

47. 3 + 4 × 5

48. 5 + 3 × 6

49. 4 × 6 − 1

50. Counting Collections

51. Counting Collections

52. Concept Circle

53. 12 18 24 6 9 2 7 3 6 4 3

54. 12 24

55. chrishunter.ca

56. ON COOL CYBORG LEGS. WHO WEARS TERRIFIC BOOTS. WHO SUCKS AT DANCING. WEARING SPOOKY CAT FEET. IN BUSINESS ATTIRE MADE OF MEAT AND PAIN A UNI PUG A SPACE LOBSTER A (HANDSOME) SALMON

58. ON COOL CYBORG LEGS. WHO WEARS TERRIFIC BOOTS. WHO SUCKS AT DANCING. WEARING SPOOKY CAT FEET. ON COOL CYBORG LEGS. WHO WEARS TERRIFIC BOOTS. WHO SUCKS AT DANCING. WEARING SPOOKY CAT FEET. ON COOL CYBORG LEGS. WHO WEARS TERRIFIC BOOTS. WHO SUCKS AT DANCING. WEARING SPOOKY CAT FEET. ON COOL CYBORG LEGS. WHO WEARS TERRIFIC BOOTS. WHO SUCKS AT DANCING. WEARING SPOOKY CAT FEET. ON COOL CYBORG LEGS. WHO WEARS TERRIFIC BOOTS. WHO SUCKS AT DANCING. WEARING SPOOKY CAT FEET. ON COOL CYBORG LEGS. WHO WEARS TERRIFIC BOOTS. WHO SUCKS AT DANCING. WEARING SPOOKY CAT FEET. IN BUSINESS ATTIRE MADE OF MEAT AND PAIN IN BUSINESS ATTIRE MADE OF MEAT AND PAIN IN BUSINESS ATTIRE MADE OF MEAT AND PAIN A UNI PUG A SPACE LOBSTER A (HANDSOME) SALMON

59. • Repeated Addition • Equal Groups or Sets • Array • Area of a Rectangle • Rate/Comparison • Combinations Meanings

60. berkeleyeverett.com

61. Chris Hunter K-12 Numeracy Helping Teacher Surrey Schools President-Elect BCAMT hunter_c@surreyschools.ca @ChrisHunter36 chrishunter.ca

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Multiplication -- More Than Repeated Addition and Times Tables.pdf

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