Download Properties of numbers Year 2 Summer 12

Properties of numbers
Year 2 Summer 12
Investigate a general statement about familiar numbers by finding examples which satisfy it
Previous learning
Core for Year 2
Extension
Understand and use these words:
Understand and begin to read these words:
Understand and read these words:
odd, even, pattern, continue, next, every other, …
odd, even, multiple, divides by, … sequence, pattern, predict,
continue, next, rule, … property, …
odd, even, multiple, divides by, … sequence, pattern, predict,
continue, next, rule, … property, …
Given a number up to 30, describe its properties, e.g.
Given a number up to 100, describe its properties, e.g.
Make general statements about a given number, e.g.
• Given 30, say that:
• Given 65, say that:
• Choose a three-digit number (e.g. 140) and say that:
– It’s even.
– It’s odd.
– It’s even.
– It’s more than 20 and less than 30.
– It’s between 60 and 70.
– It’s between 100 and 150 but nearer 150.
– It’s a two-digit number.
– It’s a two-digit number.
– It’s a three-digit number.
– It’s double 12.
– It’s a not multiple of 2.
– The digits add up to 5.
– The digits add up to 6.
– It’s not a multiple of 10.
– It’s a multiple of 2, and of 5, and of 10.
– It’s in the two times table.
– It’s a multiple of 5.
– The digits add up to 11.
• Guess a number less than 50 by asking questions about its
properties to which only ‘Yes’ or ‘No’ answers are given,
e.g.
• Guess a two-digit mystery number by asking questions
about its properties to which only ‘Yes’ or ‘No’ answers are
given, e.g.
– Is it odd?
– Is it even?
– Does it lie between 20 and 30?
– Is it greater than 75?
– Is it a multiple of 10?
– Is it a multiple of 5?
Sort numbers according to their properties, e.g.
Sort numbers according to their properties, e.g.
Sort numbers according to their properties, e.g.
• Write each number in the right place on the diagram.
• Here is a sorting diagram for numbers.
Write each of these numbers in the right space.
• One number is in the wrong place on the sorting diagram.
Put a cross on it.
5, 6, 7, 8, 9, 10, 11, 12, 13, 14
50
57
58
55
even
even
not even
multiple
of 5
not a multiple
of 5
•
© 1 | Year 2 | Summer TS12 | Properties of numbers
Examples adapted from the Framework for teaching mathematics from Reception to Year 6, 1999
Previous learning
Core for Year 2
Extension
Give examples to match given properties of numbers, e.g.
Give examples to match given properties of numbers, e.g.
Give examples to match given properties of numbers, e.g.
• Tell me:
• Write down:
• Tell me:
– an even number more than 20 and less than 40;
– a three-digit even number;
– an even number more than 20 and less than 40;
– an odd number which divides exactly by 5;
– a multiple of 5 between 50 and 70;
– an odd number which divides exactly by 5;
– a multiple of 10 between 65 and 85.
– an odd multiple of 5 greater than 75.
– a multiple of 10 between 65 and 85.
Give examples to match a true statement, e.g.
Give examples to match a true statement, e.g.
• When I subtract 10 from a number the units number stays
the same.
• If you multiply numbers either way round, the answer is the
same.
For example: 43 – 10 = 33, and 43 and 33 both have 3
ones or units.
• I can add 9 by adding 10 and taking away 1.
For example: 16 + 9 = 16 + 10 – 1 = 25
• If a number ends in 2 then it is even.
For example: 5 × 3 = 3 × 5 = 15
• Any odd number is one more than an even number.
For example: 23 is an odd number and 23 is 1 more than
22, which is an even number.
• Any even number can be written as the sum of two odd
numbers.
For example: 12, 32, 82
• There are five odd numbers between 10 and 20.
For example: 11, 13, 15, 17, 19
For example: 16 is an even number, and 16 = 13 + 3,
which are both odd numbers.
• A multiple of 5 is always half a multiple of 10.
For example: 15 is a multiple of 5, and 15 is half of 30,
which is a multiple of 10.
• If a number ends in 0 then it divides exactly by 10.
For example: 90 ÷ 10 = 9 with no remainder.
Say whether a given statement is always, sometimes or
never true, and illustrate with examples, e.g.
Say whether a given statement is always, sometimes or
never true, and illustrate with examples, e.g.
• Numbers less than 100 have two digits.
• Is this statement always, sometimes or never true?
Sometimes true; 18 has two digits but 8 does not.
‘Multiples of 5 are even.’
Give examples to show how you know.
• Multiples of 5 end in 5.
Sometimes true; 15 ends in 5 but 10 does not.
The statement is sometimes true. For example,
10 is an even multiple of 5 but 15 is an odd multiple of 5.
• Multiples of 10 are even.
Always true; multiples of 10 end in 0 and any number that
ends in 0 is even.
© 2 | Year 2 | Summer TS12 | Properties of numbers
Examples adapted from the Framework for teaching mathematics from Reception to Year 6, 1999