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National Curriculum: Algebra - Year 6 - Exemplification


Created on 24 October 2013 by ncetm_administrator
Updated on 18 December 2013 by ncetm_administrator
 

Exemplification

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:

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.

sequence of counters

How many counters in the 6th number? the 20th...?

Write a formula for the number of counters in the nth number in the sequence.

 

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Comments

 


17 September 2018 12:09
It would be better also to use small cases only.
By rudaaga
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17 September 2018 12:09
It would be better also to use small cases only.
By rudaaga
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30 April 2015 13:05
First example: it would be more mathematical to remove the restriction that A and B have to be different numbers.

Simple formula: the 'months and years' formula might look simple, but at first glance most of us get it wrong! Try it.
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