210 likes | 377 Views
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. 2 - 1. 0 - 1. 1 - 0. 1 - 1. 2 - 2. 3 - 2. 2 - 4. 2 - 0.
E N D
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.
2 - 1 0 - 1 1 - 0 1 - 1 2 - 2 3 - 2 2 - 4 2 - 0 0 - 2 3 - 4 1 - 3 0 - 0 3 - 1 3 - 3 1 - 4 3 - 0 2 – 3
0 - 0 0 - 1 1 - 0 3 - 0 2 - 0 1 - 1 0 - 2 2 - 1 3 - 1 2 - 2 2 – 3 1 - 3 3 - 4 3 - 4 2 - 4 1 - 4 3 - 3 0 - ? 3 - ? 1 - ? 2 - ? DRAWS
0 - ? 3 - ? 1 - ? 2 - ? DRAWS 0 - 0 0 - 1 1 - 0 3 - 0 1 - 1 0 - 2 3 - 1 2 - 2 1 - 3 3 - 4 3 - 2 1 - 4 3 - 3 2 - 0 1 - 2 2 - 1 0 - 3 2 – 3 2 - 4 0 - 4
0 - ? 3 - ? 1 - ? 2 - ? DRAWS 0 - 0 0 - 1 1 - 0 3 - 0 1 - 1 0 - 2 3 - 1 2 - 2 1 - 3 3 - 4 3 - 2 1 - 4 3 - 3 2 - 0 1 - 2 2 - 1 0 - 3 2 – 3 2 - 4 0 - 4
0 - ? 3 - ? 1 - ? 2 - ? DRAWS 0 - 0 0 - 1 1 - 0 3 - 0 1 - 1 0 - 2 3 - 1 2 - 2 1 - 3 3 - 2 3 - 4 1 - 4 3 - 3 2 - 0 1 - 2 2 - 1 0 - 3 2 – 3 2 - 4 0 - 4
2 - 4 0 - 1 1 - 1 2 - 1 3 - 2 2 - 2 1 - 0 2 - 0 1 - 2 1 - 3 1 - 4 3 - 3 0 - 2 3 - 0 0 - 4 2 - 3 0 - 3 3 - 1 Sum of the scores 0 - 0 3 - 4
0 - 1 0 - 0 1 - 3 0 - 3 1 - 2 2 - 0 1 - 4 1 - 1 1 - 0 3 - 1 3 - 0 2 - 2 2 – 3 0 - 2 3 - 3 2 - 1 2 - 4 3 - 4 3 - 2 2 diff 4 diff 3 diff 1 diff 0 diff 0 - 4
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 0 - 1 0 - m 0 - 2 1 -m 1 - 0 n - 0 n - 1 n - m Number of half-time scores = (n+1)(m+1)
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? Clowns’ Hats
Clowns’ Hats Clowns’ Hats
Red tops Blue tops Green tops Clowns’ Hats
Blue tops Clowns’ Hats
Blue tops Two blue one at the top one at the bottom One blue at the top and the other the same One blue at the top and the others different Two blue at the top Clowns’ Hats
One colour Three colours Two Colours Clowns’ Hats
All same All different Red and Blue Red and Green Blue and Green Clowns’ Hats