SHAPE PATTERNS

In mathematics, shapes can form patterns. In doing so, through mathematics we can find patterns that hold through them to find the xth line etc…. To do this you need to:

• Look visually at the image.
• See if an EASY pattern emerges.

Let's do this with the bottom images:

SYMMETRY

Symmetry means that one shape becomes exactly like another when you move it in some way (turn, flip or slide).

For two objects to be symmetrical, they must be the same size and shape, with one object having a different orientation from the first so for example, facing away. Symmetry is the same as a 'mirror image'. If an image is not symmetrical, it is called asymmetric.

Why is symmetry important?

It can help you calculate mathematical problems.

How?

• Calculate one side (one half of the symmetrical image).
• The other side is equal to the 1st part.
• To get to the total, you just have to multiply (x 2) by 2.

Let me illustrate.

Let's do some example questions to solidify our learning:

Q 30 Questions 30-32 refer to the following information:

A cube has 6 faces with numbers of 1 to 6. The hidden corner is H.

Face 1 and 3 are opposites, face 2 and 4 are opposites as well as 5 and 6.

The cube can be rolled over an edge. If it is rolled over edge AB, face 3 will be at the bottom.

The corner labels are retained after rolling.

Viewer's position stay as it is initially.

Given the starting position above, if the cube is rolled over AB, then rolled over CB, which face is at the bottom?

A 1 B 2 C 3 D 4

Q31 - The cube was rolled once that resulted to the figure below:

What edge had the cube rolled over?

A AB B CD C EF D GH

Q32 - The cube was rolled over edge AH, and then rolled over an unknown edge again. Given the final position of the cube below, what edge had the cube rolled over after AH?

A EH B AB C BG D AD

Key Rules to remember:

• Look visually to find the pattern.

  • Number of sides
  • Increments (increasing by?)
  • Isolate what's increasing, stable etc…

• Express it as a simple pattern.

• Use the power of symmetry – to get the total x 2

Now it's time to do your assignment.

1. Download the assignment question here.
2. Print it out or if you want to do it electronically, save it.
3. Complete the questions to it.
4. Then check the solutions on the video below or download the ANSWER KEY here.