From Prism to Truncated Prism using Logifaces

Learning about the Methodology

Dear teacher, you might have read the Logifaces study part about learning the Logifaces methodology. As perhaps this is not sufficient to understand how the game can be useful for your lessons and perhaps you do not have a game or 3D printer at hand to create your own, we collected a few first steps for you to have you remember basics about the game and about possibilities. Watch our short videos to get acquainted with the blocks and the matching possibilites. You may also use these questions as introductory tasks for your students. In the quiz below, you can learn first steps. There is more in this resource in case you are not yet happy with playing around!

Basics - Step 1

Investigate the block using the applet above. You can click it to turn it around. How many different heights does the Logifaces blocks have? Look at exercises throughout the book and check whether all heights are represented in this block.

3 4 2

Basics - Step 2

Investigate the block using the applet above. You can click it to turn it around. How many different triangles can you find on the blocks? Check other exercises. Are there blocks that have more or less versions of triangles than this block?

4 2 3

Basics - Step 3

Let us look at mathematical properties of the blocks now. What is the difference between the top and bottom faces?

The top face is perpendicular to the side faces There is no difference The bottom face is perpendicular to the side faces

Basics - Step 4

The block is part of a game which usually has rules. What is the rule of matching the blocks in the Logifaces game? Attention: our exercises might have other rules, always check the teacher version for example results and more explanation!

To match the blocks in order to create a triangular prism. To create a triangle shape by matching every block. To create a continuous surface.

Drag the Sliders - Compare to Block above, Compare to Measurements

Intermediate - Step 1

Now you know of the game and it is time to play around with more possibilities. Use the aplet above. How many blocks can you create?

27 9 18 11

Intermediate - Step 2

Create all possible blocks that have a horizontal surface. How many blocks do you get?

2 6 3 1

Intermediate - Step 3

In case all top edges are horizontal, what is the type of top surface triangle?

Right triangle Scalene triangle Isoscele Equilateral

Intermediate - Step 4

Use the slider in order to create all possible blocks that have only one horizontal top edge. How many blocks do you get?

1 3 2 6

Intermediate - Step 5

In case there is only one horizontal top edge, what is the type of top surface triangle?

Isoscele Scalene triangle Right triangle Equilateral

Intermediate - Step 6

Use the slider in order to create all possible blocks that do not have a horizontal top edge. How many blocks do you get?

3 2 6 1

Intermediate - Step 7

In case there is no horizontal top edge, what is the type of top surface triangle?

Equilateral Right triangle Isoscele Scalene triangle

Intermediate - Step 8

How many blocks do you think have only 1 axis of symmetry?

2 3 1 6

Intermediate - Step 9

How many blocks do you think exist that do not have any axis of symmetry?

6 2 3 1

Intermediate - Step 10

How many blocks do you think that have 4 axes of symmetry?

1 2 6 3

Construct Triangles using the Polygon tool

Advanced - Step 1

How many blocks do you need for building a triangular shape out of blocks - from small to large? (multiple answers accepted)

9 4 3 1 7

Advanced - Step 2

What is the common attribute of the numbers from the question above?

Odd numbers Prime numbers Square numbers Even numbers

Advanced - Step 3

Can you create a triangle with a continous surface using all the blocks from the 9pcs set and the 16 pcs set together? (Multiple answers possible)

If I leave out some blocks, yes No Yes Maybe. I have to try. See you in a couple of hours. If I get extra blocks, yes

132

123

Advanced - Step 4

What are differences between the 123 and the 132 blocks?

The height is different Central symmetric pairs Axial symmetric pairs They are identical, no differences.

Advanced - Step 5

What twisted blocks (123 and 132) can you match together in order to form a triangular prism?

None of these blocks The different blocks each Twice the same block