SDE Day 3 Sessions

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morning session| SE03 Developing the Ability to See Patterns through Mathematics yeap ban har | marshall cavendish institute [email protected] | www.banhar.blogspot.com

description

Updated slides for the four sessions on Day 3 of SDE's National Conference on Singapore Math Strategies

Transcript of SDE Day 3 Sessions

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morning session|

SE03 Developing the Ability to See Patterns through Mathematics

yeap ban har | marshall cavendish institute

[email protected] | www.banhar.blogspot.com

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what?

to meet demands of global economy

Problem-Solving Approach

how?

to meet the needs of every learner

CPA Approach

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application

lesson |

In Common Core State Standards, Grade 4

students learn about angles and by Grade 8, they

learn about sum of exterior and interior angles

of polygons.

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drill-and-practice

lesson |

Multi-digit division is done in Grades 3 through 5 in

Common Core State Standards.

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1

2

3

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5

6

7

9

8

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morning session|

SE09 Visualization – Getting Students to See the Math

yeap ban har | marshall cavendish institute

[email protected] | www.banhar.blogspot.com

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We will use a tangram set for this workshop. You can cut them out from your handouts or make one using the square paper provided. You can also download a tangram app from Apple Store.

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3-piece solutions

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3-piece solutions

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3-piece solutions can be extended to give 5-piece solutions by adding two largest triangles.

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A non-congruent 5-piece solution

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y + z = 162 Sum of angles = 360 + 180 = 540 3x = 540 – 2 x 162 3x = 540 – 324 3x = 216 x = 72

Greg Tang’s solution: z = 2y (why?) y + z = 162 3y = 162 = 150 + 12 y = 54 x = 180 – 2 x 54 = 180 – 108 = 72

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afternoon session|

SF03 Developing Number Sense – A Differentiated Approach

yeap ban har | marshall cavendish institute

[email protected] | www.banhar.blogspot.com

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Singapore

Malaysia

Thailand

Indonesia

International

48

2

2

0

3

78

12

8

2

17

92

36

26

15

46

99

65

55

43

75

611

440

427

386

500

adva

nced

high

inte

rmedia

te

low

ave

rage

grad

e ei

ght

mat

hem

atic

s

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afternoon session|

SF08 Engaging Students in Deep Mathematical Thinking with Anchor Tasks

yeap ban har | marshall cavendish institute

[email protected] | www.banhar.blogspot.com

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Area = 2.5 Number of dots around the polygon = 5

Area = 2 Number of dots around the polygon = 4

Area = 1.5 Number of dots around the polygon = 3

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Area = 6.5 Number of dots around the polygon = 11

Area = 11.5 Number of dots around the polygon = 23

Area = 12 Number of dots around the polygon = 24

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Lim Siong Guan Head, Civil Service

Singapore