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Pentominoes

Pentominoes . How many different pentominoes are there?. Pentominoes. What is a pentomino? Well – you know what a domino is 2 squares joined exactly edge to edge. Pentominoes. And you know what ‘pent’ means in Maths… 5 as in pentagon and pentagram . It’s Greek, by the way.

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Pentominoes

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  1. Pentominoes How many different pentominoes are there?

  2. Pentominoes What is a pentomino? Well – you know what a domino is 2 squares joined exactly edge to edge

  3. Pentominoes And you know what ‘pent’ means in Maths… 5 as in pentagon and pentagram It’s Greek, by the way

  4. Pentominoes Now pentominoes are how many squares joined exactly edge to edge? 5

  5. Pentominoes How many different pentominoes are there? Different – meaning not the same one another way round Back to dominoes is the same as ‘do’ is Greek for 2

  6. Pentominoes be systematic to get them all 12

  7. Pentominoes – the task Choose a pentomino. Now using only the numbers 1-5 any way you want to, add up pairs of adjacent numbers and total

  8. Pentominoes – the task + = 6 Now using only the numbers 1-5 any way you want to, add up pairs of adjacent numbers and total + = 7 What’s the biggest total you can make? + = 5 + = 7 25

  9. Pentominoes What’s the biggest total we can make? What’s the smallest total?

  10. Pentominoes Now I’m going to give you one of these shapes and I want you to fill each square with one of the numbers 1-5

  11. Pentominoes What’s the biggest total you can make? What’s the smallest total?

  12. Maximum totals Which shape do you think will give the biggest total? Why?

  13. Minimum totals Which shape do you think will give the smallest total? Why?

  14. PentominoesNext task 1 x 5 = 5 x 2 = 2 x 3 = 3 x 4 = Total 5 14 6 12 37 How about multiplying pairs of adjacent numbers and making a total? Where is the mistake?

  15. Maximum totals for multiplying Which shape do you think will give the biggest total? Why?

  16. Minimum totals for multiplying Which shape do you think will give the smallest total? Why?

  17. How many pentominoes have line symmetry? 6

  18. How many pentominoes have rotational symmetry? Rotational symmetry 2 3 Rotational symmetry 2 Rotational symmetry 4

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