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Presentations are available at
www.banhar.blogspot.com
Professional Development for Singapore Math (Lower Grades)
Yeap Ban Harbanhar@sg.marshallcavendish.com
Pearl City, Hawaii11 August 2011
Jalan Besar PCF Kindergarten, Singapore
Professional Development for Singapore Math (Lower Grades)
Day 1 Session 1Open Lesson Grade 1/2
AddingCPA Approach
Manny has 5 cookies. Lasene has 7 cookies.Trisdyn has 6 cookies.
Nanakuli Elementary School, Hawaii, USA
Professional Development for Singapore Math (Lower Grades)
Day 1 Session 2Counting
Differentiating for Thinking
This is the rationale stated in Singapore Mathematics curriculum document.
“an excellent vehiclefor the developmentand improvement
of a person’sintellectual competence”
Professional Development for Singapore Math (Lower Grades)
Day 1 Session 3Counting, Adding, Subtracting
CPA Approach
Earlybird Kindergarten Mathematics
Jalan Besar PCF Kindergarten, Singapore
concrete
pictorial
abstractThe CPA Approach is one of the fundamentals of Singapore Math.
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Professional Development for Singapore Math (Lower Grades)
Day 1 Session 4Focus on Thinking
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.
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.
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