Thursday 16th July 2020

TESSELLATIONS AND PENTOMINOES 2.

RECAP: WHAT IS A PENTOMINO?

A Pentomino is a type of polyomino - a flat shape made from joining squares together.

How many squares do you think are joined to make a pentomino?

Pentominoes are made from 5 squares.

There are 12 different pentominoes:

TODAY, YOUR CHALLENGE IS TO FILL A RECTANGULAR GRID UP WITH TESSELLATING PENTOMINOES.

In this diagram the pentominoes have been labelled using letters.

EXAMPLES SHOWING DIFFERENT TESSELLATED PENTOMINOES FILLING RECTANGULAR GRIDS.

P,U and V can cover a rectangle that is 3x5 squares.

L, P, T and Y can cover a rectangle that is 5x4..

TRY THESE ACTIVITIES OR USE THE SHEETS ON THE CLASS PAGE TO TESSELLATE PENTOMINOES TO FILL DIFFERENT SIZED RECTANGULAR GRIDS.Have fun!!

Use Pentominoes to cover a rectangle that is

10 x 6 (easy)

12 x 5 (medium)

15 x 4 (hard)

20 x 3 (expert)

EASY

MEDIUM

HARD

EXPERT

CAN YOU ARRANGE ALL THE PENTOMINOES TO FIT IN THIS PATTERN?

SOLUTION

FENCING PROBLEM:Using all 12 pentominoes,make a fence to surround as large an area as possible.

Scoring

Area Scoreunder 70 Try harder!71-80 E81-90 D91-100 C101-110 B111-120 Aover 120 Excellent!