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Basic Facts with Debbie Petkau

Basic Facts with Debbie Petkau. Developed by ERLC/ARPDC as a result of a grant from Alberta Education to support implementation. Basic Facts. Debbie Petkau Edmonton Public Schools debbie.petkau@epsb.ca. A little bit about me!. Teacher for 25 years, primarily in elementary

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Basic Facts with Debbie Petkau

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  1. Basic Factswith Debbie Petkau Developed by ERLC/ARPDC as a result of a grant from Alberta Education to support implementation

  2. Basic Facts Debbie Petkau Edmonton Public Schools debbie.petkau@epsb.ca

  3. A little bit about me! Teacher for 25 years, primarily in elementary Math consultant for EPSB Assistant Principal of elementary school Passionate about math learning

  4. Welcome! Southern Alberta Northern Alberta Who are you? Central Alberta Other provinces

  5. What grades do you primarily work with? A - Division I B - Division II C – Division III D - Other

  6. 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

  7. Alberta Program of Studies2007 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.

  8. Philosophical shift • Focus on number sense • Focus on mental math and estimation

  9. What do you think? Are basic facts important? Should we be having our students memorize them?

  10. 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

  11. Why is this a topic of interest? • The pendulum goes back and forth • The discussion about memorizing versus fluency

  12. Why does the topic of basic facts interest you?

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

  14. The Power of Thinking Strategies

  15. Count On

  16. Count On • Doubles

  17. Count On • Doubles • Near Doubles

  18. Friendly Numbers Have you heard of them?

  19. Count On • Doubles • Near Doubles • Names of 10

  20. Count On • Doubles • Near Doubles • Names of 10 • Names of 5

  21. Count On • Doubles • Near Doubles • Names of 10 • Nine strategies

  22. Count On • Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10

  23. Count On • Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10 • Skip count by 2

  24. Count On • Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10 • Skip count by 2 • Number in Middle

  25. Count On • Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10 • Skip count by 2 • Number in Middle • Commutativity

  26. Count On • Doubles • Near Doubles • Names of 10 • Nine strategies • Making 10 • Skip count by 2 • Number in Middle • Commutativity

  27. Your thoughts….

  28. 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

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

  30. Zero groups of

  31. Zero groups of • 1 group of

  32. Zero groups of • 1 group of • Counting by 5’s

  33. Zero groups of • 1 group of • Counting by 5’s • Counting by 2’s

  34. Zero groups of • 1 group of • Counting by 5’s • Counting by 2’s • Doubles

  35. Zero groups of • 1 group of • Counting by 5’s • Counting by 2’s • Doubles • Families

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

  37. Other strategies up to this point?

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

  39. Zero groups of

  40. Zero groups of • 1 group of

  41. Zero groups of • 1 group of • Counting by 5’s

  42. Zero groups of • 1 group of • Counting by 5’s • Counting by 2’s

  43. Zero groups of • 1 group of • Counting by 5’s • Counting by 2’s • 10’s

  44. A side note about tens • 10 X 6 • 100 X 7 • 1000 X 8 • 10 x 5 • 30 x 5 • 40 x 7

  45. Working with 9’s What do you know?

  46. Zero groups of • 1 group of • Counting by 5’s • Counting by 2’s • 10’s • 9’s

  47. 09 18 27 36 45 54 63 72 81 90

  48. The 4’s Let’s do the macarena!!! Up you get!

  49. Another way… • 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

  50. Zero groups of • 1 group of • Counting by 5’s • Counting by 2’s • 10’s • 9’s • 4’s

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