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Maths
and the National Numeracy Strategy - What should your child be able
to do?
The
National Numeracy Strategy started at Lower Park in September 1999 and
has been successfully running ever since.
The
strategy gives a clear indication to teachers and parents about the
expectations of a child at the end of each school year.
As parents it is often hard to know how much your child knows compared
with children of a similar age. The guidelines below should help.
BY
THE END OF RECEPTION, CHILDREN SHOULD BE ABLE TO:
-
Say and use the number names in order in familiar contexts
- Count reliably up to 10 everyday objects
- Recognise numerals 1 to 9
- Use language such as 'more' or 'less', 'greater' or 'smaller',
'heavier' or 'lighter', to compare two numbers or quantities
- In practical activities and discussion, begin to use thevocabulary
involved in adding and subtracting
- Find one more or one less than a number from 1 to 10
- Begin to relate addition to combining two groups of objects,
and subtraction to 'taking away'
- Talk about, recognise and recreate simple patterns
- Use language such as 'circle' or 'bigger' to describe the shape
and size of solids and flat shapes
- Use everyday words to describe position
- Use developing mathematical ideas and methods to solve practical
problems.
BY THE END OF YEAR 1, CHILDREN SHOULD BE ABLE
TO:
- Count reliably at least 20 objects
- Count on and back in ones from any small number, and in tens
from and back to zero
- Read, write and order numbers from zero to at least 20 and understand
and use the vocabulary of comparing and ordering these numbers
- Within the range 0-30, say the number that is 1 or 10 more
or less than any given number
- Understand the operation of addition, and of subtraction as
'take away' or 'difference'), and use the related vocabulary
- Know by heart all pairs of numbers with a total of 10
- Use mental strategies to solve simple problems using counting,
addition, subtraction, doubling and halving, explaining
methods and reasoning orally
- Make 'side-by-side' comparisons of two lengths, masses or
capacities
- Suggest suitable units and measuring equipment to estimate,
then measure, a length, mass or capacity.
BY
THE END OF YEAR 2, CHILDREN SHOULD BE ABLE TO:
-
Count, read, write and order whole numbers to at least 100;
know what each digit represents (including zero as a place
holder)
- Describe and extend simple number sequences (including odd/even
numbers, counting on or back in ones or tens from any two-digit
number, and so on)
Understand that subtraction reverses addition and state the
subtraction corresponding to a given addition
- Know by heart all addition and subtraction facts for each number
to at least 10
- Use knowledge that addition can be done in any order to do
mental calculations more efficiently
- Understand the operation of multiplication
- Know that halving reverses doubling
- Know by heart multiplication facts for the 2 and 10 times tables
- Estimate, measure and compare lengths, masses and capacities,
using standard units; suggest suitable units and equipment
for such measurements
- Read a simple scale to the nearest labelled division, including
using a ruler to draw and measure lines to the nearest centimetre
- Use the mathematical names for common 2-D and 3-D shapes;
sort shapes and describe some of their features
- Use mathematical vocabulary to describe position, direction
and movement.
BY THE END OF YEAR 3, CHILDREN SHOULD BE ABLE
TO:
- Read, write and order whole numbers to at least 1000; know
what each digit represents
- Count on or back in tens from ant two-digit three-digit number
- Recognise unit fractions, and use them to find fractions of shapes and numbers
- Know by heart all addition and subtraction facts for each number
to 20
- Add and subtract mentally a 'near multiple of 10' to or from
a two-digit number
- Know by heart multiplication facts for the 2, 5, and 10 times
table
- Understand division and recognise that division reverses multiplication
- Use units of time and know the relationships between them
(second, minute, hour, day week, month, year)
- Understand and use £.p notation
- Choose and use appropriate operations (including multiplication
and division) to solve word problems, explaining methods
and reasoning
- Identify right angle
- Identify lines of symmetry in simple shapes, and shapes with
no lines of symmetry
- Solve a given problem by organising and interpreting data in
simple lists, tables and graphs.
BY
THE END OF YEAR 4, CHILDREN SHOULD BE ABLE TO:
-
Use symbols correctly, including less than (<), greater than
(>), equals(=)
- Round any whole number less than 1000 to the nearest 10 or 100
- Recognise simple fractions that are several parts of a whole,
and mixed numbers; recognise the equivalence of simple fractions
- Use known number facts and place value to add or subtract
mentally, including any pair of two-digit whole numbers
- Carry out column addition and subtraction of two integers less
than 1000, and column addition of more than two such integers
- Know by heart facts for the 2, 3, 4, 5, and 10 multiplication
tables
- Derive quickly division facts corresponding to the 2,3,4,5, and 10 multiplication tables
- Find remainders after division
- Know and use the relationships between familiar units of length,
mass, and capacity
- Classify polygons, using criteria such a number of right angles,
whether or not they are regular, symmetry properties
- Choose and use appropriate number operations and ways of
calculating (mental, mental with jottings, pencil and paper)
to solve problems.
BY THE END OF YEAR 5,
CHILDREN SHOULD BE ABLE TO:
-
Multiply and divide any whole number up to 10000 by 10 or
100
Order a given set of positive and negative numbers
Use decimal notation for tenths and hundredths
Round a number with 1 or 2 decimal places to the nearest whole
number
Relate fractions to division and their decimal representations
Calculate mentally a difference such as 8006-2993
Carry out column addition and subtraction of positive integers
less than 10000
Know by heart all multiplication facts up to 10 x 10
Carry out short multiplication and division of a three-digit number
Carry out long multiplication of a two-digit number by a two-digit
number
Understand area measured in square centimetres (cm ); understand
and use the formula in words 'length x breadth' for the
area of a triangle
Recognise parallel and perpendicular lines, and properties of rectangles
Use all four operations to solve simple word problems involving
numbers and quantities, including time, explaining methods
and reasoning.
BY THE END OF YEAR 6, CHILDREN SHOULD BE ABLE
TO:
Multiply and divide decimals mentally
by 10 or 1200
Order a mixed set of numbers with up to three decimal places
Reduce a fraction to its simplest form by cancelling common
factors
Find fractions of numbers or quantities
Understand percentages as the number of parts in every 100,
and find simple percentages of small whole-number quantities
Solve simple problems involving ratio and proportion
Carry out column addition and subtraction of numbers involving
decimals
Derive quickly division facts corresponding to multiplication
tables up to 10 x 10
Carry out short multiplication and division of numbers involving
decimals
Carry out long multiplication of a three-digit by two-digit number
Use a protractor to measure and obtuse angles to the nearest
degree
Calculate the perimeter an area of simple shapes that can be
split into rectangles
Read and plot co-ordinates
Identify and use the appropriate operations (including combinations
of operations) to solve word problems involving numbers
and quantities, and explain methods and reasoning
Solve a problem by extracting and interpreting information
presented in tables, graphs and charts.
ASSESSMENT
The assessment of the progress of all pupils in
the National Curriculum is measured using the Attainment Targets in
each subject, indicating the knowledge, skills and understanding that
the children have gained. The number of Attainment Targets varies with
each subject. Details for the Core Subjects are given below.
The
written reports at the end of the school year will give the teacher's
assessment of your child's progress in the Curriculum and where pupils
have taken SATs the levels achieved will be reported i.e. for year 2
and year 6 pupils. Information on attendance is now also a legal requirement.
It should be stressed that all such information is strictly confidential.
ATTAINMENT
TARGETS (AT) - CORE SUBJECTS
English
1. Speaking and Listening
2. Reading
3. Writing including Spelling and Handwriting
Maths
1. Using and applying Mathematics
2. Number and algebra
3. Shape, Space and Measures
4. Handling Data
Science
5. Scientific investigations
6. Life and living Processes
7. Materials and their Properties
8. Physical Processes
In all subjects each AT is divided into 8 levels
to show progress throughout the whole of your child's statutory education.
All teachers regularly assess what pupils know, understand and can do
as part of their class work. All identify opportunities for this in
their half term planning for their classes. Any identified weaknesses
are picked up and included in future planning and work.
All pupils have a "Blue book" which contains items of their
work from Reception to year 6. This helps to track progress. Teachers
to indicate the level of attainment within the National Curriculum annotate
many of these items.
In a formal way we have introduced an Assessment
programme for each year group:
Reception - Baseline assessment:
Conducted
by reception teachers during the child's firstfew weeks at the School.
Year1 - MIST Programme:
Helps to identify pupils that need
extra help.
Year 2 - SATs:
National
tests that are conducted during the first part of the summer term in
English, Maths and Science. They give an indication of pupils' performance
in comparison with the National picture.
Year 3 - Cheshire Tests:
These are offered in March each
year and cover Reading, Mathematics and Intelligence. Cheshire County
Council insists that these are conducted as they give a picture across
the County.
- QCA Optional SATs:
These are offered during the Summer Term
and cover English and Maths.
Year
4 - QCA Optional SATs:
These are offered during the Summer Term
and cover English and Maths.
Year
5 - QCA Optional SATs:
These are offered during the Summer Term
and cover English and maths.
Year
6 - Cheshire tests:
As in Year 3.
SATs in English, Maths and Science:
These are conducted in May.
All
of the test data is analysed and use to help inform further planning.
Governors are offered data from these tests to indicate attainment trends.
Governors are not, however, given the names of any pupil in order to
preserve confidentiality. Parents are informed of their child's test
results either informally at Parents Evenings (for younger pupils) or
by letter or report (for older pupils).
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