1. Goals for the session
Learn how the philosophical shift in the way we teach math affects the way we teach basic facts
Learn some effective strategies for teaching basic facts to students

2. Alberta Program of Studies 2007
By decreasing emphasis on rote calculation,
drill and practice, and the size of numbers used in paper and pencil calculations, more time is available for concept development.

3. Philosophical shift Focus on number sense
Focus on mental math and estimation

4. The Nature of Mathematics
Number Sense
Rote Memory
versus
committing isolated facts to memory one after another
drill and practice
Automaticity
relies on thinking, using relationships among the facts
focusing on relationships

5. What are the basic facts?
The Alberta Program of Studies defines them as:
Addition and Subtraction to 18
Multiplication and Division to 81

6. Multiplication Talk about ‘groups of ‘ Talk about ‘families’
Give strategies for when we don’t know what to do
There is NOT an endless supply of basic facts

7. Start in grade 3 Learn up to 5 x 5
What do we already know?
Start in grade 3 Learn up to 5 x 5

8. x 1 2 3 4 5 6 7 8 9 10
Zero groups of

9. x 1 2 3 4 5 6 7 8 9 10
Zero groups of
1 group of

10. x 1 2 3 4 5 6 7 8 9 10 15 20 25 Zero groups of 1 group of1 2 3 4 5 6 7 8 9 10 15 20 25
Zero groups of
1 group of
Counting by 5’s

11. x 1 2 3 4 5 6 7 8 9 10 15 20 25 Zero groups of 1 group of1 2 3 4 5 6 7 8 9 10 15 20 25
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s

12. x 1 2 3 4 5 6 7 8 9 10 15 16 20 25 Zero groups of 1 group of1 2 3 4 5 6 7 8 9 10 15 16 20 25
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s
Doubles

13. x 1 2 3 4 5 6 7 8 9 10 12 15 16 20 25 Zero groups of 1 group of1 2 3 4 5 6 7 8 9 10 12 15 16 20 25
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s
Doubles
Families

14. Important to remember Teach through families 2 x 3 = 6 3 x 2 = 6
6 ÷ 3 = ÷ 2 = 3
Work the teaching of division right into the teaching of the multiplication….

15. Other strategies up to this point?

16. So that is it for Grade 3
Let’s move on to grade 4…… Expand what they already know

17. x 1 2 3 4 5 6 7 8 9 10 12 15 16 20 25
Zero groups of

18. x 1 2 3 4 5 6 7 8 9 10 12 15 16 20 25
Zero groups of
1 group of

19. x 1 2 3 4 5 6 7 8 9 10 12 15 16 20 25 30 35 40 45 50
Zero groups of
1 group of
Counting by 5’s

20. x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 25 30 35 40 45 50
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s

21. x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 30 40 25 35 45 50 60 70 80 90
100
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s
10’s

22. A side note about tens 10 X 6 100 X 7 1000 X 8 10 x 5 30 x 5 40 x 7
You can see how knowing 10ness, and how knowing the facts of the numbers allows you to easily solve these problems

23. Working with 9’s What do you know? Throw the questions out to them.
Wanda can you put in symbols /hands/ etc. here. 23

24. x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 27 30 36 40 25 35 45 50 54 60 63 70 72 80 81 90
100
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s
10’s
9’s
The 9’s –
Lots of tricks for this one
Like to open it up for the anyone to share their strategies for 9’s at this point.
Adding the digits together
Sum is 9
Writing them as a column
Finger strategy

26. The fours… Relate the 4’s to the 2’s… 2x1 2x2 4x1 2x3
2x4 4x2 – families here
2x5
2x6 4x3
2x7
2x8 4x4
2x9
2x10 4x5

27. x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 27 30 24 28 32 36 40 25 35 45 50 54 60 63 70 72 80 81 90
100
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s
10’s
9’s
4’s

28. x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 27 30 24 28 32 36 40 25 35 45 50 54 60 63 70 72 80 81 90
100
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s
10’s
9’s
4’s

29. x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 27 30 24 28 32 36 40 25 35 45 50 54 60 49 63 70 64 72 80 81 90
100
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s
10’s
9’s
4’s
Doubles

30. x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 21 24 27 30 28 32 36 40 25 35 45 50 42 48 54 60 49 56 63 70 64 72 80 81 90
100
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s
10’s
9’s
4’s
Doubles
Families

31. x 1 2 3 4 5 6 7 8 9 10 12 14 16 18 20 15 21 24 27 30 28 32 36 40 25 35 45 50 42 48 54 60 49 56 63 70 64 72 80 81 90
100
Zero groups of
1 group of
Counting by 5’s
Counting by 2’s
10’s
9’s
4’s
Doubles
Families