• Fill in all squares of the grid with single digits

• Each column, each row, each 3x3 grid contains all the digits from 1-9 with no repeats.

Let’s play …

Ms. Lisa BaxterCommunity Projects Manager

homework club activitiesInformation at:www.investinginchildren.on.ca

• Fill in all squares of the grid with single digits

• Each column, each row, each 3x3 grid contains all the digits from 1-9 with no repeats.

Let’s play …

Where’s The Math?

Make senseof Numerical

situations

Number Sense permeates all aspects of mathematics teaching and learning ….

Intuitivefeeling fornumbers

Developswith

experience

PartPart

Whole

7

7

Spatial

Recognizesets of

objects inpatterned

1 and 2 more

1 and 2 less

Anchors

5 and 10

7

3

15Of course,that onlymakes sense…

1 2 3 4 5 6

1 2 3 4 5 6

Cardinality Principle

“How Many” “Which One?” “Which Position?”

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Use of More / Less / Same in their language is abenchmark for the teacher that changes over time.

Key Language Development:

Player 1st 2nd 3rd 4th Final

Ms. Brooks

Mr. Adams

Game Facts:1. Ms. Brooks won by 15 points.2. In one quarter they scored the same number of points.3. In another quarter, Mr. Adams scored 10 more points.4. In yet another quarter, Mr. Adams was outscored by 5 points.

Number Models – visual representationsWhat techniques (lessons) might a teacher use to model cardinality?

Number Lines – a singledimensional model‘BIG” number lines(ropes and strings)

“I’m thinking of a number between ….”

Technique: Jigsaw

1. Class is divided into 4 teams.

2. Each group member is given a letter. (A-D)

3. Each letter group assembles into specialist groups.

4. Specialist group becomes the expert group.

5. Parent group reassembles with each member responsible for their topic.

Place Value Zero as a Place Holder International

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Japanese Numeration System …

1 Ichi 11 Juichi

2 Ni 12 Juni

3 San 13 Jusan

4 Shi 14 Jushi

5 Go 15 Jugo

Language …A Bump In The Road

1 One 11 Eleven

2 Two 12 Twelve

3 Three 13 Thirteen

4 Four 14 Fourteen

5 Five 15 Fifteen

Tenty-one

Tenty-two

Tenty-three

Tenty-four

Tenty-five

the value of a digit is determinedby its position in a number.

275

PV Blocks(pre-grouped)

“Count by…”Start / Dir / Skip 8 U 2 24 D 5 15 U 3 108 D 4

Sticks(‘groupable’)

PV Blocks(pre-grouped)

Sticks(‘groupable’)

100 10 1

100 10 1

100 10 1

34 36

45

13 15

27

35