Halftime Scores The fulltime score in a game

Sum of the scores 0 -0 0 -1 1 -1 2 -2 3 -2

0 diff 1 diff 2 diff 3 diff 4 diff 0 -0 0 -1

0 -0 0 -1 0 -m 1 -0 n-0 0 -2 n-1 n-m Number

Clowns’ Hats Here is a clown’s hat. It has 3 pom-poms on the front

Clowns’ Hats Half-time Clowns’ Hats Scores

Red tops Blue tops Green tops Half-time Clowns’ Hats Scores

Blue tops Two blue at the top One blue at the top and the

One colour Two Colours Three colours Half-time Clowns’ Hats Scores

All same Red and Green Red and Blue All different Blue and Green Half-time

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Half-time Scores The full-time score in a game of hockey was 3 – 4. What could the score have been at half-time? Work with a friend and write down as many different half-time scores as you can on the blank cards provided. Half-time Scores

2 -1 0 -1 1 -0 0 -2 1 -1 2 -0 3 -4 1 -3 3 -1 2– 3 2 -2 3 -2 2 -4 0 -0 3 -3 3 -0 1 -4 Half-time Scores

0 -? 1 -? 2 -? 3 -? 0 -0 0 -1 1 -0 2 -0 3 -0 1 -1 0 -2 2 -1 3 -1 DRAWS 2 -2 1 -3 2– 3 3 -4 3 -3 1 -4 2 -4 3 -4 Half-time Scores

DRAWS 0 -? 1 -? 2 -? 3 -? 0 -0 0 -1 1 -0 2 -0 3 -0 1 -1 0 -2 1 -2 2 -1 3 -1 2 -2 0 -3 1 -3 2– 3 3 -4 3 -3 0 -4 1 -4 2 -4 3 -2 Half-time Scores

DRAWS 0 -? 1 -? 2 -? 3 -? 0 -0 0 -1 1 -0 2 -0 3 -0 1 -1 0 -2 1 -2 2 -1 3 -1 2 -2 0 -3 1 -3 2– 3 3 -2 3 -3 0 -4 1 -4 2 -4 3 -4 Half-time Scores

Sum of the scores 0 -0 0 -1 1 -1 2 -2 3 -2 2 -4 1 -0 2 -0 1 -2 1 -3 1 -4 3 -3 0 -2 3 -0 0 -4 2 -3 0 -3 3 -1 Half-time Scores 3 -4

0 diff 1 diff 2 diff 3 diff 4 diff 0 -0 0 -1 1 -3 0 -4 1 -1 1 -2 2 -0 1 -4 2 -2 1 -0 3 -1 3 -0 3 -3 2– 3 0 -2 2 -1 2 -4 3 -2 Half-time Scores

0 -0 0 -1 0 -2 0 -3 0 -4 1 -0 1 -1 1 -2 1 -3 1 -4 2 -0 2 -1 2 -2 2– 3 2 -4 3 -0 3 -1 3 -2 3 -3 3 -4 4 -0 4 -1 4 -2 4 -3 4 -4 Half-time Scores

0 -0 0 -1 0 -m 1 -0 n-0 0 -2 n-1 n-m Number of half-time scores = (n+1)(m+1) Half-time Scores

Clowns’ Hats Here is a clown’s hat. It has 3 pom-poms on the front and each pom-pom can be one of 3 colours, red, blue or green. How many different clowns hats can be made? Half-time Clowns’ Hats Scores

Clowns’ Hats Half-time Clowns’ Hats Scores

Red tops Blue tops Green tops Half-time Clowns’ Hats Scores

Blue tops Half-time Clowns’ Hats Scores

Blue tops Two blue at the top One blue at the top and the other the same One blue at the top and the others different Two blue one at the top one at the bottom Half-time Clowns’ Hats Scores

One colour Two Colours Three colours Half-time Clowns’ Hats Scores

All same Red and Green Red and Blue All different Blue and Green Half-time Clowns’ Hats Scores