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.).

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