Friday, 30 June 2017

Task 1: Where shall we meet?

Task to be completed by next Monday (3 July 2017, 12 noon).

The location of the houses of three friends, Antonio, Benedict and Celine happened to form an equilateral triangle. They meet quite often to catch up with each other; however, none of them want to invite their friends home. To be fair, they decided to meet at a place that is most 'central' to all.

Point to ponder...
• What would you suggest?
• How would you do it if you have their houses marked on a map already?

Note: There is a typo-error in the above diagram, it should be "Benedict"

Assume that each house is 8 km from the two other houses.
(i.e. the length of the equilateral triangle is 8 km).
Taking the scale, 1 cm to represent 1 km, construct the equilateral triangle on a sheet of paper.

On this diagram, construct the relevant "some lines" to help you find the centre meeting point.
Hint: Perpendicular Bisectors, Angle Bisectors

Take a photo of your diagram (make sure it is clearly labelled) and post it in the padlet.

Task 2: Little Red Riding Hood needs help!

Task to be completed by next Monday (3 July 2017, 12 noon).

Shortest distance between Grandma's house (G) and her house (H) is 10 km.
Draw a straight line on a plain paper with the scale, 1 cm to represent 1 km.
From there, construct the suggested path.

Take a photo of the constructed diagram and post it in the padlet below:

Thursday, 29 June 2017

Today, we revisited construction of a hexagon and you are to think deeper on the relationship between a hexagon and the circle.

We saw the application of Geometrical Construction through Activity 1, where we created a truncated square pyramid to create the hologram.

Follow-up:

1. Submit Assignment 1 (given on 27 June, Tuesday) to Hao Min after recess today.

2. Submit the Class Activity Worksheet tomorrow (29 June, Friday) to Hao Min before recess.
• You must answer the question at the end of page 1
• You must complete activity 2
3. Upload the photo of your end-product of Activity 1 (the truncated square pyramid) in the padlet HERE (scroll down to insert in the padlet).

4. Look out for the Activity posted in Maths Blog (compulsory) tomorrow morning - to be completed by next Monday (3 July 2017, 12 noon).

Tuesday, 27 June 2017

What we did in class:
• Revisited Perpendicular Bisector, related vocabulary terms and how to label the diagram clearly
• Analyse the diagram to draw out properties related to the line and its perpendicular bisector
• Relate the properties to shapes: Circle, Triangles (equilateral, isosceles triangles), Rhombus, Square, Parallelogram
• Spot the Error (3 questions): To describe, using the correct metalanguage, what was wrong with the way the diagram was constructed
• Angle Bisector: The construction and "seeing" the "invisible" perpendicular bisector
• Sketching the diagram based on information given to aid construction of shape (SDL during holidays)
What we did:
• Construct a regular hexagon with length 5 cm using a ruler and compass (clue: Use a circle).
• This is in preparation of an activity in the next lesson
Things to follow-up:
1. Complete the Spot the Error Tasks if not completed yet.
2. Complete Assignment 1 (2 Questions) [Estimated duration: 30 min] - construct a fully-labelled diagram with pencil - to be submitted in next lesson.
3. Apart from the construction set, bring a pair of scissors and clear tape for an activity in the next lesson.
4. Examples of hologram clips from Youtube:

Geometrical Construction: Spot the Error (1)

As a group, watch the clip and try to spot as many errors as possible.