mathematics workshop visual maths ms kathleen lee & mr. tay lee yong 24 april 2004

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Mathematics Workshop Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

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Page 1: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mathematics WorkshopMathematics Workshop

Visual Maths

Ms Kathleen Lee & Mr. Tay Lee Yong

24 April 2004

Page 2: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Objectives

Teachers are able to use ICT (Information & Communication Technology) tools to enhance the teaching and learning of Mathematics;

Teachers are able to transfer the learning to their classroom teaching; &

Teachers are able to replace bulky teaching aids / materials with ICT tools for the teaching and consolidation of concepts.

Page 3: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Programme

9.00 a.m. Introduction & Overview

9.15 a.m. ICT tools – visualization of Math

Concepts

10.30 a.m. Break

10.50 a.m. Applications

11.30 a.m. Sharing

11.50 a.m. Question & Answer

Page 4: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Rationale

30% integration of ICT into the curriculum, as according to the IT MasterPlan

Innovation and creativity

Better impact & capture attention

More effective consolidation of concepts

Page 5: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mensuration - Area & Perimeter

A picture was pasted on a piece of rectangular cardboard measuring 14 cm by 8 cm, leaving a border of 1-cm all around it. What is the area of the border ?

Page 6: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mensuration - Area & Perimeter

14 cm

8 c

m

1 cm

1 c

m

Find the area of the border . Where is the border ?

Page 7: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mensuration - Area & Perimeter

Can shapes of the same area have different perimeter ?

The following are figures made up of 1-cm squares.

Area = 8 sq cm.

Perimeter = 10 cm

Area = 8 sq cm

Perimeter = 18 cm

Page 8: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mensuration - Area & Perimeter

Area = 7 cm 2

Perimeter = 14 cm

10 cm

8 cm

Page 9: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mensuration - Area & Perimeter

Page 10: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mensuration - Area & Perimeter

What is the area of the shaded figure in the 1-cm sq grid ?

Page 11: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mensuration - Area & Perimeter

What is the area of the triangle in the 1-cm grid ?

Page 12: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mensuration - Area & Perimeter

Page 13: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Mensuration - Area & Perimeter

Page 14: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Circle

Find the area of the unshaded part.

Page 15: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Circle

Find the area of the shaded part.

Page 16: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Circle

Find the area of the shaded part.

Page 17: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Circle

200ml

1 litre

Page 18: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Geometry – Tessellation

Page 19: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Geometry – Tessellation

Can this shape tessellate ?

Page 20: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Geometry – Tessellation

Page 21: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Geometry – 2D / 3D

Page 22: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Angles – rotation

Page 23: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

8-point compass

North

South

East West

Page 24: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Fractions – equivalent fractions

 

 

   

     

       

           

               

                    

Page 25: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Fractions, Ratio , Percentage

What fraction of the animals are frogs ?

What percentage of the animals are frogs ?

What is the ratio of the no. of frogs to the no. of birds ?

Page 26: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Fractions, Ratio , Percentage

Ask related questions for the pictures above .

Page 27: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Fractions, Ratio , Percentage

John spent $200 on food and 20% of the remainder on books.

He saved half of the remaining money and donated the rest to charity. What was the amount of money he had if he donated $400 to charity ?

$200

books 400

Page 28: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

ICT tools for teaching & learning

Microsoft Drawing Toolbar Draw - Group/Ungroup; Order; Snap; Rotate or

Flip AutoShapes - Lines & Basic Shapes Other Tools – Rectangle, Oval, 3D & etc.

Ctrl, Alt, & Shift Keys Special emphasis on the Ctrl Key for duplicating

objects

Mouse skills

Page 29: Mathematics Workshop Visual Maths Ms Kathleen Lee & Mr. Tay Lee Yong 24 April 2004

Questions and Answers

Thank you for your time .

Have a good weekend.