Reception and KS1 Maths - cavershamprimary.org · maths. Please, please, please be enthusiastic...
Transcript of Reception and KS1 Maths - cavershamprimary.org · maths. Please, please, please be enthusiastic...
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Reception and KS1 Maths
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Aims for this session:• To explore some of the things your children learn in maths
• To consider why learning basic skills is so important
• To look at some of the strategies we use in school
• To think about ways you can support your children at home
• To enjoy some maths
• To ask any questions.
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Research suggests that as many as 60% of adults would rather clean the toilet than work out a maths problem.
An even larger percentage say:
Research also suggests that adults would not openly admit to being poor at reading.
I was never any good at
maths.
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Please, please, please be enthusiastic about maths with your children.
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Maths is not always about one right answer and the one way of
working it out.
We want to equip the children with the knowledge, understanding, confidence and enthusiasm to be efficient mathematicians.
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Which is the odd one out and why?
3 8 13 15
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Different ways of
making 100
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50 + 50
100 x 1
25 x 4
99 + 1
110 – 10
20 + 30 + 50
10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10
200 ÷ 2
51 + 49
11 x 9 + 1
5 x 20
1 + 1 + 1 + 1 + 1 + 1 + ……….
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How many different ways are there?
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Numbers:
• Children count reliably with numbers from 1 to 20, place them in order
and say which number is one more or one less than a given number.
• Using quantities and objects, they add and subtract two single-digit
numbers and count on or back to find the answer.
• They solve problems, including doubling, halving and sharing.
Early Learning Goals
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Shape, space and measures:
• Children use everyday language to talk about size, weight, capacity,
position, distance, time and money to compare quantities and objects
and to solve problems.
• They recognise, create and describe patterns.
• They explore characteristics of everyday objects and shapes and use mathematical language to describe them.
Early Learning Goals
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What can you do to help your child at home?
Practise counting• Forwards• Backwards including to zero• Start from any number• Don’t always stop in the same place• Match the counting to objects and actions• Make it real• Count anything and everything!
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Talk about maths in real life contexts:• Look at house numbers, bus numbers, road signs, number plates.
What numbers can you see? What’s the number before/after?
• Cut food in half/into shapes/share it out.
• Play games using dice/money/dominoes
• Sing songs about numbers
• Talk about the shapes around you – road signs are very useful!
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Use the language of comparing and ordering whenever you can. • Which one is heavier?• Who came first?• Who has more?• Which plate has fewer?• Which animal is smaller/taller?
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Practise forming the numbers correctly
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The story of 5
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The National Curriculum
• Fluency• Reasoning• Problem solving
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Number and place valueAddition and subtractionMultiplication and divisionFractionsMeasurementGeometry
And in Year 2: Statistics
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Year 1•Read and write numerals to at least 100 in numerals and in words
•Find one more or less than any number
•Read, write and interpret mathematical statements involving addition (+),
subtraction (-) and equals (=)
•Recognise, find, name and write simple fractions of a length, shape, set of
objects or quantity
•Measure and record the length, height, weight or volume of different objects
•Recognise and talk about the value of different denominations of coins and
notes
•Tell the time to the hour and half past the hour, drawing the hands on a clock
face to show these times
•Order and arrange objects in patterns and sequences
•Recognise and name common 2D and 3D shapes including squares, circles
and pyramids
•Describe position, direction and movement
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Year 2•Compare and order numbers from 0 to 100, using <, > and = signs
•Count in steps of 2, 3 and 5 from 0, and in tens from any number, forward and
backward
•Use place value and number facts to solve problems
•Add and subtract two-digit numbers using mental and written methods
•Recall and use addition and subtraction facts up to 20, and derive related facts up
to 100
•Recall and use multiplication and division facts for the 2, 5 and 10 multiplication
tables, and recognise odd and even numbers
•Solve addition and subtraction money problems, using symbols for pounds and
pence
•Tell and write the time to the nearest five minutes
•Identify, describe, compare and sort 2D and 3D shapes
•Interpret and construct pictograms, tally charts, block diagrams and simple tables
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Key Stage 1 SATs (summer of Year 2)
Paper 1: Arithmetic (fluency and calculations)
Paper 2: Reasoning (fluency, calculations, reasoning and problem solving)
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How can you help to build your child’s number sense and fluency?
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Number Sense
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Counting:
Knowing the number names in order, forwards and backwards.
Understanding how to count objects, events or actions in ones and also
in twos, fives and tens.
Composition:
Understanding how each number can be made up in different ways by
adding and subtracting
Knowing how our number system uses groups of tens and ones
Comparing:
Having a feel for the relative sizes of numbers
Putting numbers in order
Estimating
Subitising:
Instantly knowing the number of items in small group without counting
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How many?
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Play games showing numbers of fingers…
Hold up some fingers for your partner.
See how quickly they can tell you how many you are holding up.
What knowledge and strategies did you use?
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Play games with dice or cards:
• throw a dice and double the number
• add ten to the number
• throw two dice and add or subtract the numbers
• throw two dice and you can add the numbers together if they are both even or both odd
• play a game using one dice and double the number if odd and halve the number if even.
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Make your own games using a 100 square
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Count in 2s, 5s, 10s, 20s, ½s etc. whilst walking to school climbing the stairs, playing on the swing or trampoline etc.
Ping pong your best friends to 10
Use money
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How many more to make 10?
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Practise the ‘best friends’ or number bonds to 100 + 101 + 92 + 83 + 74 + 65 + 5
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These then lead to the number bonds to 100 etc.0 + 10010 + 9020 + 8030 + 7040 + 6050 + 50
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Numicon
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A sense of 10 and Place Value
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Understanding place value and the size of numbers.
58
Biggest number
wins!
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With an understanding of place value, children can partition numbers to help with calculations.
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One of the most important things you can do to help your child is to support them in working towards learning their tables.
Year 1: Count in multiples of 2, 5, 10Recall and use doubles and halves to 10.
Year 2: Recall and use multiplication and division facts for the 2, 5 and 10 times tables.
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Year 3: Recall and use multiplication and division facts for the 3, 4 and 8 times tables.
Year 4: Recall and use multiplication and division facts for all the times tables up to 12 x 12.
End of Year 4: Government times tables test
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Explain how you know.
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Concrete Resources
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Draw something to prove to me that:
7 is an odd number
1
2is equivalent to
2
4
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Lots of Lollies
Jack and Rishi were given a bag of lollies.
They shared them out evenly and had one left over.
Just as they had finished sharing them their friends Kishan, Hayley and Poppy came along. They wanted some lollies too so the children shared them out again between all of them. This time they had two lollies left over.
How many lollies could there have been in the bag?
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The Four Operations
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6 + 4 = 3 + 7
12 = 4 +
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Find different ways of completing:
X -=
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Addition
Count all
Count on
Count on from the biggest number
3 + 5
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32 + 14
Empty Number Line
Bridging 10
46 + 37
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46 + 32
Partitioning - pulling the number into bits
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Subtraction
Count how many are left when some have been taken away
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Subtraction
Count how many are left when some have been taken away
Count back along a number track then number line
6 - 2
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34 - 12
Empty Number Line counting back
63 - 16
Bridging ten
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46 - 41
Empty Number Line counting forward: finding the
difference
103 - 91
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Partitioning
147 - 34
253 - 45
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Multiplication
Count objects into equal groups
Count up in equal steps
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9 x 3
Empty number line
9 x 3
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An ArrayA way of organising objects to visualise the multiplication
and division facts.
3 x 4 = 124 x 3 = 1212 ÷ 3 = 412 ÷ 4 = 3
12
43
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Division
Sharing: Share the objects out equally between 5 people and see how many they get each
20 ÷ 5
Grouping: Count out groups of 5 objects and see how many groups there are
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Empty number line - repeated subtraction
45 ÷ 5
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Make the difference between the numbers as small as you can.Now make the difference as big as possible.How many different ways are there of arranging the numbers?
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Telling the time
How much time we have to get ready?
How long until tea is ready?
What time is it?
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Talking about maths – make it real• Numbers
• Time
• Measurements – length, height, weight, capacity, distance...
• Estimating
• Fractions
• Shape
• Directions
102
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Recommended Book
Maths for Mums and Dads
By Rob Eastaway and Mike Askew
103
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Thank you!