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Presentations are available at www.banhar.blogspot.com Professional Development for Singapore Math (Lower Grades) Yeap Ban Har [email protected] .com Pearl City, Hawaii 11 August 2011 Jalan Besar PCF Kindergarten, Singapore

Pearl City Hawaii Lower Grades 11 Aug

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Page 1: Pearl City Hawaii Lower Grades 11 Aug

Presentations are available at

www.banhar.blogspot.com

Professional Development for Singapore Math (Lower Grades)

Yeap Ban [email protected]

Pearl City, Hawaii11 August 2011

Jalan Besar PCF Kindergarten, Singapore

Page 2: Pearl City Hawaii Lower Grades 11 Aug

Professional Development for Singapore Math (Lower Grades)

Day 1 Session 1Open Lesson Grade 1/2

AddingCPA Approach

Page 3: Pearl City Hawaii Lower Grades 11 Aug
Page 4: Pearl City Hawaii Lower Grades 11 Aug

Manny has 5 cookies. Lasene has 7 cookies.Trisdyn has 6 cookies.

Page 5: Pearl City Hawaii Lower Grades 11 Aug

Nanakuli Elementary School, Hawaii, USA

Page 6: Pearl City Hawaii Lower Grades 11 Aug

Professional Development for Singapore Math (Lower Grades)

Day 1 Session 2Counting

Differentiating for Thinking

Page 7: Pearl City Hawaii Lower Grades 11 Aug

This is the rationale stated in Singapore Mathematics curriculum document.

“an excellent vehiclefor the developmentand improvement

of a person’sintellectual competence”

Page 8: Pearl City Hawaii Lower Grades 11 Aug
Page 9: Pearl City Hawaii Lower Grades 11 Aug

Professional Development for Singapore Math (Lower Grades)

Day 1 Session 3Counting, Adding, Subtracting

CPA Approach

Page 10: Pearl City Hawaii Lower Grades 11 Aug
Page 11: Pearl City Hawaii Lower Grades 11 Aug

Earlybird Kindergarten Mathematics

Page 12: Pearl City Hawaii Lower Grades 11 Aug

Jalan Besar PCF Kindergarten, Singapore

Page 13: Pearl City Hawaii Lower Grades 11 Aug

concrete

pictorial

abstractThe CPA Approach is one of the fundamentals of Singapore Math.

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Page 15: Pearl City Hawaii Lower Grades 11 Aug
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Page 18: Pearl City Hawaii Lower Grades 11 Aug
Page 19: Pearl City Hawaii Lower Grades 11 Aug

Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

Earlybird Kindergarten Mathematics

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Earlybird Kindergarten Mathematics

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Professional Development for Singapore Math (Lower Grades)

Day 1 Session 4Focus on Thinking

Page 36: Pearl City Hawaii Lower Grades 11 Aug

4 5

Ist Digit Final Answer

5 ?

9 81

6 54

3 27

Method 1It does not matter what the second digit is.If it is 0 : 60 – 6If it is 1 : 61 – 7 which should be the same because 61 is 1 more than 60, and 7 is also 1 more than 6.

Page 37: Pearl City Hawaii Lower Grades 11 Aug

Ist Digit Final Answer

5 x 9 ?

9 x 9 81

6 x 9 54

3 x 9 27

Method 2Multiply the first digit by 9

Method 3Multiply the first digit by 10 and then …

Ist Digit Final Answer

5 x 10 = 50 ?

9 x 10 = 90 81

6 x 10 = 60 54

3 x 10 = 30 27

Ist Digit Final Answer

5 4?

9 8?

6 5?

3 2?

Method 3The first digit in the final answer is related to the first digit. Also the digits in the final answer sum up to 9.