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Professional Development for Singapore Math (Upper Grades)
Yeap Ban [email protected]
Pearl City, HawaiiDay 3
10 August 2011
Professional Development for Singapore Math (Upper Grades)
Day 3 Session 1Video Study
Problem-Solving Approach
Students have learnt to add three one-digit numbers prior to this lesson. These are grade one students towards the end of the school year.
Lesson Segment Observation
Practice in speaking • How do the students
respond?
• Are there evidence of engagement or thinking?
• What are the teacher actions?
• What are the questions that I have?
Problem Presentation
Problem Solution (whole class)Observing
Problem Solution (whole class)Using Table
Conclusion
Consolidation Not in the video
The problem-solving approach can be used to teach new concepts or skills.
Problem 10 August 2011How many fifths are there?
2×35 ) fifths 6 fifths
4×35 ) fifths fifths
4×35¿4×35
¿125
Professional Development for Singapore Math (Upper Grades)
Day 3 Session 2Problem Solving
& Drill-and-Practice
Problem solving is the focus of Singapore Math.
Problem solving can include drill-and-practice.
Problem solving can include drill-and-practice.
Professional Development for Singapore Math (Upper Grades)
Day 3 Final SessionsBar Model Method
Modeling using real objects, pictures of real objects and more abstract model drawings.
Bar models are used to represent quantities – discrete and continuous ones.
6060 ÷ 5 = 12
12 x 8 = 96
There are 76 people.
58
12
Observe how this problem is different from the last one even though numbers used are the same.
Observe how this problem is different from the last one even though numbers used are the same.
12Natalie
Peter
58
58 – 12 = 46
46 ÷ 2 = 23
Natalie’s bag is 35 kg.Peter’s bag is 23 kg.
1st Day
2nd Day 4
3rd Day 4 4
4th Day 4 4 4
5th Day 4 4 4 4
6th Day 4 4 4 4 4
7th Day 4 4 4 4 4 4
8th Day 4 4 4 4 4 4 4
250
1st Day
2nd Day 4
3rd Day 4 4
4th Day 4 4 4
250
5
5th Day 4 4 4 4
250 – 40 = 210
210 : 5 = ?
42 + 16 = ?
Rosa made 58 paper cranes on the last day.
Differentiation for struggling students
Struggling Average Advanced
Draw the model for all 10 days. Or reduce the problems to 4 days. Or act the situation out using counters.
Draw the model for about 7 or 8 days.
Draw the model for 3 or 4 days. Using algebra.
Professional Development for Singapore Math (Upper Grades)
Solutions to Homework
Sam
Terry
Vanessa
72
Pablo
Wynn
Zena
100
?
110
270
boys
girls
34
100
boys
girls
68
boys
girls
88 – 68 = 20
boys
girls
88 – 68 = 20
boys
girls
boys
girls
boys
girls
34
34 – 20
2 girls units = 14
1 girls unit = 7
3 girls units = 21
21 girls wear spectacles.
flour
flourflour
cookies cake 3.6 kg 3.6 kg x 2 = 7.2 kg
She bought 7.2 kg of flour.
flour
flourflour
cookies
Miss Siti
16
3.6 kg ÷ 5 = 0.72 kg
8 x 0.72 kg = 5.76 kg
She bought 5.76 kg of flour.
flour
flourflour
cookies
Mrs Rani
14
cake
3.6 kg ÷ 3 = 1.2 kg1.2 kg x 4 = 4.8 kg
4.8 kg ÷ 3 = 1.6 kg 1.6 kg x 4 = 6.4 kg
She bought 6.4 kg of flour.
basketball
soccer
basketball
soccer
Answer: 60
Answer: 100
basketball
soccer
Answer: 84
Professional Development for Singapore Math (Upper Grades)
Further ExampleMultiplication of Whole Numbers
Emphasis on Spiral Approach
Grade 1 Multiplication using drawing
Math in Focus
Singapore Math by Marshall Cavendish
Emphasis on Spiral Approach
Grade 2 Multiplication of 2, 5, 10 and 3, 4
Math in Focus
Singapore Math by Marshall Cavendish
Pensar sin Limites
Matematica Metodo Singapur
Daqiao Primary School
Singapore
Emphasis on Spiral Approach
Grade 3 Multiplication of 6, 7, 8, 9 2-digit x 1 digit, 3-digit x 1-digit
6 6 66
Math in Focus
Singapore Math by Marshall Cavendish
Escuela No. 1577 Teniente Dagoberto Godoy Chile
Emphasis on Spiral Approach
Grade 3 Multiplication of 2-digit x 1 digit3-digit x 1-digit
National Institute of EducationSingapore
Emphasis on Spiral Approach
Grade 4 Multiplication of 4-digit x 1 digit, 2-digit x 2-digit
42
30
4
National Institute of EducationSingapore
