Download Y5 New Curriculum Maths planning 10

Short-Term Planning Grid for Mathematics
Year 5
Block 10
Multiplication and division
Geometry – properties of shapes
Y5 Block 10
Planning grid
Days 1 - 3
OVERVIEW – WHAT CHILDREN WILL LEARN
Objectives you will cover, partially or fully
Focus on developing children’s understanding of prime numbers. This
will reinforce recall of multiplication and division facts. Review factors,
multiples and squares with the children to help them remember the
differences between these properties of numbers.
1) Identify multiples and factors, including finding all factor pairs of a number, and common
factors of two numbers
2) Know and use the vocabulary of prime numbers, prime factors and composite (non-prime)
numbers
3) Establish whether a number up to 100 is prime and recall prime numbers up to 19
Oral/Mental Objective
and Activity
Objectives/Success
criteria
Introduction/
demonstration/
modelling
Activities set
Differentiation / Use of
other adults
Learning review
opportunities
Resources
[email protected]
ITP Number grid
Square numbers Pelmanism
Factor cards sheet
How will you remember the Prime numbers to 100?
Spreadsheet: Prime factors
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Activity ideas
How will you remember the Prime numbers to 100?
This poster is best printed at A3 size. Go through it with
the children, helping them work out what it means and
how to use it to find and remember all the prime
numbers to 100.
Calculator division
Spend a short time allowing children to divide any multiple of a number by that
number, to convince them that you only get integer answers. They will need to discuss
why that happens. Then get them to use the prime numbers to 100 and divide each of
these by any number except itself or 1 to see what happens. Discuss the results.
ITP Number grid
On the ITP Number grid, set to 9
or 10 columns, make the
‘multiples’ tab show 2, then click,
then show 3 and click, and then 5
and 7. Each time the colour will
change automatically. Are the
numbers that are left prime
numbers? Use the ‘primes’ tab to check. Why are 2, 3, 5 and 7
not showing? Get children to explore why you don’t have to do
the next 2, or more, primes to eliminate all the numbers up to
100 that are prime. Some children might want to find out how many more primes you would
have to click if you wanted to find the primes to 200.
Squares
Print the ‘Square numbers Pelmanism’ sheet onto
card thick enough so that the numbers are not
visible when the card is placed face down. Use the
cards to play Pelmanism, matching up the number
and its square, for instance 20 and 400.
Prime factor game
Print out the Factor cards sheet. You may have already printed this in Block 7. All the numbers are
prime numbers, so they are called prime factors when we use them as factors.
Children use the cards, as many as they want to, and in any order, to create numbers made from
prime factors. Suggest they record their results in a list or table, but don’t give more support than
that.
Now get them to list numbers that have one prime factor in common, two factors in common, three
factors in common and so on. Can they start to see how to make numbers with common factors in
easy ways? If numbers have prime factors of 2 and 3 in common, they have a factor of 6 in common
as well. Can they find numbers with 4, 6, 9, 10, 12 and so on as common factors?
Numbers that are not prime numbers are made by multiplying together prime numbers and are
called composite numbers. Make sure children remember this, perhaps by getting a group to make a
poster showing the facts they need to know.
More ideas
Children find the squares of multiples of 10 and answer questions such as: What is 40 squared? What number when multiplied by itself gives 900? (Days 4-6)
Children find prime factors of two-digit numbers; for example, they find that the prime factors of 28 are 7 x 2 x 2. They collaborate to find the number between 0 and 50 with the greatest number of
prime factors. They solve problems such as:
Find two prime numbers with a total of 30. Which prime numbers lie between 20 and 30? Is 96 a prime number? How do you know? Explain why 87 is not a prime number.
How many distinct prime factors has 16? What about 17?
Can you give me a number with prime factors 3 and 5? What about 2 and 3?
How could you use prime factors to help you to multiply by 18?
Which numbers between 20 and 30 have the greatest number of factors (not just prime factors but all factors)? Which have the least? Which have an odd/even number of factors? Use the Factor cards
to help you work this out.
How do you know that you have all the factors / prime factors? Encourage children to be systematic.
[email protected]
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