Step 10 Objective
Solve increasingly demanding problems and evaluate solutions; explore connections in mathematics across a range of contexts: number, algebra, shape, space and measures, and handling data.
- Examples of what pupils should
know and be able to do - Probing questions
- What if pupils find
this a barrier?
Examples of what pupils should know and be able to do
Final Score investigation
The final score in a football game was 2-1
- List possible half-time scores.
- How many are there?
- Investigate other final score.
Examples drawn from Final Score
Pupils can predict the sequence of results for the total number of half-time scores.
They make explicit a rule for calculating the total number of possible half-time scores for a given final score.
They can write the rule algebraically.
The formula for finding the number of half time scores is:
Add 1 to each score and multiply the two resulting numbers together.
Example
If the score was 3-2 (3 + 1) x (2 + 1) = 4 x 3 = 12
If the score was m-n (m + 1)(n + 1)