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teaching fractio ns Yeap Ban Har National Institute of Education Nanyang Technological University Singapore [email protected] Slides are available for download from www.banhar.blogspot.com or www.mmepdpm.pbworks.com
16

Rye Fractions

Nov 21, 2014

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Education

Jimmy Keng

This presentation on Fractions was for Grades 4 to 6 teachers from elementary and middle schools of Rye City School District in New York.
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Page 1: Rye Fractions

teachingfractions

Yeap Ban HarNational Institute of Education

Nanyang Technological UniversitySingapore

[email protected]

Slides are available for download fromwww.banhar.blogspot.com or www.mmepdpm.pbworks.com

Page 2: Rye Fractions

Grade 1 materials, consolidated over four years build the foundation for Grade 5 and Grade 6 materials.

Page 3: Rye Fractions

GradeWhole Number

DivisionDecimal & Fraction

Division1 Sharing /

Partitive DivisionGrouping /

Quotitive Division2 12 boys ÷ 4

3 15 boys ÷ 451 boys ÷ 3

133 boys ÷ 74 1248 boys ÷ 6

15 kg ÷ 40.24 ÷ 4

5

6

7 Everything else

teachingfractions

4154

15 3

3

2

4

33

4

3

2

1

Page 4: Rye Fractions

How many thirds are there in 1 whole?

Page 5: Rye Fractions

How many thirds are there in 1 whole?

How many thirds are there in 2 wholes?

Page 6: Rye Fractions

teachingfractions

How many thirds are there in 1 whole?

How many thirds are there in 2 wholes?

3

11

3

12

How many thirds are there in ?3

21

Grade 4 Grade 6

How many thirds are there in ?6

5

3

1

6

5

Page 7: Rye Fractions

teachingfractions

3

21

How many 2 thirds are there in 1

whole?

Page 8: Rye Fractions

3

21

This is a 2-thirds.

This is half of 2-thirds.

Page 9: Rye Fractions

teachingfractions

6

1

2

1

How many sixths are there in 1 half?

Page 10: Rye Fractions

How many sixths are there in 1

whole? 1 half?

6

1

2

1

66

11

Page 11: Rye Fractions

3

1

6

5

Page 12: Rye Fractions

extensiveuse of visuals

in textbooksdeveloping visualization

developingvisualizationHow Can I Help My Students See It?

Page 13: Rye Fractions
Page 14: Rye Fractions

Adding like fractions, sum less than 1

Adding unlike, related fractions, sum less than 1

Adding like and related fractions, sum more than 1

Adding unlike fractions, sum less than 1

Adding unlike fractions, sum more than 1

Adding mixed numbers

Page 15: Rye Fractions

spiralcurriculum

featuresofsingaporemath

keyusing fractions as a case study

conceptualunderstanding

concrete pictorial abstract

mathematicalvariations

Page 16: Rye Fractions

thank you

[email protected]

www.banhar.blogspot.comfor addresses of websites and blogs of various

aspects of singapore math

teachingfractions