Examples of what children should be able to do, in relation to each (boxed) Programme of Study statement
find pairs of numbers that satisfy number sentences with two unknowns
enumerate all possibilities of combinations of two variables.
Children should be confident to answer questions such as;
Here are five number cards:
A and B stand for two different whole numbers.
The sum of all the numbers on all five cards is 30.
What could be the values of A and B?
express missing number problems algebraically
use simple formulae
Children should be able to express a relationship in symbols, and start to use simple formulae. For example:
Use symbols to write a formula for the number of months m in y years.
Write a formula for the cost of c chews at 4p each.
Write a formula for the nth term of this sequence: 3, 6, 9, 12, 15…
The perimeter of a rectangle is 2 × (l + b), where l is the length and b is the breadth of the rectangle.
What is the perimeter if l = 8 cm and b = 5 cm?
The number of bean sticks needed for a row which is m metres long is 2m + 1. How many bean sticks do you need for a row which is 60 metres long?
Plot the points which show pairs of numbers with a sum of 9.
generate and describe linear number sequences
Children should experience activities such as;
A number sequence is made from counters.
There are 7 counters in the third number.
How many counters in the 6th number? the 20th...?
Write a formula for the number of counters in the nth number in the sequence.