2. Ms. Lisa Baxter Community Projects Manager Investing in Children homework club activities Information at: www.investinginchildren.on.ca

4. Number Sense and Numeration

5. Number Sense permeates all aspects of mathematics teaching and learning …. Make sense of Numerical situations Intuitive feeling for numbers Develops with experience NSN PA M GSS DMP

6. Part Part Whole 7 7 Complex / Multifaceted / Relationships Spatial Recognize sets of objects in patterned 1 and 2 more 1 and 2 less Anchors 5 and 10

7. 7 3 15 Counting Of course, that only makes sense…

8. Benchmark: A Point of Reference Ministry Document: K - 3 Strategies Grade 1 lesson: Ten in the Nest - Page 125

9. 1 2 3 4 5 6 1 2 3 4 5 6 Cardinality Principle

10. Cardinal Nominal Ordinal “ How Many” “ Which One?” “ Which Position?” Sara is 6 years old Please come to her 6 th birthday party It’s at 4:00 pm On Thursday Sept. 11 th It’s at 355 Third Avenue Call 519-453-4161 to R.S.V.P

12. Number Models – visual representations What techniques (lessons) might a teacher use to model cardinality? Number Lines – a single dimensional model ‘ BIG” number lines (ropes and strings) Build a Model Strategy 1: To Compare and Order Numbers ….

13. Use 'Intelligent' Guess and Check “ I’m thinking of a number between ….” Strategy 2: To Compare and Order Numbers …. 25 72 Numberline Game .... Fish Bowl

14. Strategy 3: Doubles and Near Doubles …. double 3 is the 'bug' double ... double 4 is the 'spider' double ... double 5 is the 'hand' double ... double 6 is the 'egg carton' double ... double 7 is the 'two week' double ...

15. There has to be a better way!

16. How did number systems evolve?

19. Japanese Numeration System … 15 14 13 12 11 Jugo Go 5 Jushi Shi 4 Jusan San 3 Juni Ni 2 Juichi Ichi 1

20. Language …A Bump In The Road Tenty-one Tenty-two Tenty-three Tenty-four Tenty-five 15 14 13 12 11 Fifteen Five 5 Fourteen Four 4 Thirteen Three 3 Twelve Two 2 Eleven One 1

21. the value of a digit is determined by its position in a number. 275 Place Value Most Significant Digit

22. PV Blocks (pre-grouped) “ Count by…” Start / Dir / Skip 8 U 2 24 D 5 15 U 3 108 D 4 Model Building: Proportional Place Value Sticks (‘groupable’)

23. PV Blocks (pre-grouped) Sticks (‘groupable’) Model Building: Non-Proportional Place Value Issues 1 10 100

24. Trading Equivalent Values 1 10 100 1 10 100

25. The Hundreds Chart Sieve of Eratosthenes: Primes and Composites Think / Pair / Share Find 1 more patterns. 45 36 34 35 27 15 13

26. Expanded Notation A Critical skill 'Lost in the Wilderness' Multiple Representations 275 = 200 + 70 + 5 275 = 100 + 170 + 5