Parents in Partnership
Innerwick Primary School
Mathematics
5-14
Level D
MATHEMATICS
Mathematics plays an important role in all our lives. It is used in everyday activities, such as buying food, keeping time and playing games.
In East Lothian we use the Core Programme in Maths. We work together to share what we are learning with the children to ensure they have a positive and confident attitude towards maths.
The Maths programme includes areas of
Ø number, money and measurement,
Ø information handling,
Ø shape, position and movement.
The children in our schools are encouraged to learn maths through practical experiences, using concrete materials.
Mental calculations are vital in helping children to understand number and use it well. Regular oral and mental work develops children’s calculation strategies and recall skills.
Computer programmes are used to reinforce work and to develop skills.
Your child will only be allowed to use a calculator, only under the guidance of their teacher so please do not provide them with a calculator unless this is suggested by the teacher.
It is hoped the contents of this booklet will give you some idea of the work involved in Level D and some activities to try out.
Some methods may be different from your own ways of ‘doing sums’. If in doubt speak to your child’s teacher!
Mathematics Tracking: Level D1-D3
D1
1. Read/write whole numbers up to 100,000
2. Multiply/divide whole numbers by a single digit – easy example only (e.g. 240¸8, 13x4)
3. Multiply/divide 4 digit whole numbers by 10 and 100
4. Add/subtract whole number multiples of 10 and 100 (e.g. 120+130, 700-200)
5. Find Fractions of quantities – easy examples (e.g. 1 third of £69, 1 fifth of 45)
6. Find halves of multiples of 100 up to 4 digits (e.g. 1 half of 500, 1 half of 900, 1 half of 1200)
7. Find change from £10
8. Calculate time durations in hours/minutes
9. Exchange coins/notes up to £20
10. Equate percentages and decimals
11. Multiply and divide 4 digit numbers including 2 decimal places by 10 and 100
12. Double 2 digit numbers/3 digit numbers which are multiples of 5 or 10 (e.g. 2x35, 2x125)
13. Recognise if a fraction is bigger or smaller than 1 half
Angles
1. Know that angles are measured in degrees and that a full revolution is 360°
2. Measure angles accurately within 5°
3. Draw angles accurately within 5°
4. Copy angles accurately within 5°
Non Calculator Work
1. Count, order read and write whole numbers up to 100,000
2. Exchange money up to £10
3. Add and subtract for 4 digit whole numbers
4. Multiply up to 4 digit whole numbers by any single digit
5. Divide up to 4 digits by a single digit (no remainders)
6. Find simple fractions of quantities with up to 4 digits (whole numbers and money) – easy examples only (e.g. 3 quarters, 2 fifths, 7 eighths)
7. Add/subtract money for 4 digits with at most 2 decimal places – easy examples only (e.g. £12.50+£1.75)
Fractions
1. Find simple fractions (1 seventh, 3 quarters, 3 fifths, 60 hundredths) of quantities involving at most 4 digits – easy examples only
2. Equivalence among fractions – thirds, fifths, halves, quarters, eighths, tenths, twentieths, fiftieths and hundredths
Percent/Linking Fractions, Decimals and Percent
1. Equivalence among percentages and decimals to two places (e.g. 12% = 0.12)
Position and Movement
1. Use an eight-point compass rose
2. Use a co-ordinate system to locate a point on a grid (2,3), (0,4)
3. Create patterns by rotating a shape (use a template or computer turtle graphics)
Decimals
1. Reinforce decimals as special fractions to two decimal places (i.e. 1/10 and 1/100 columns)
2. Know place value
3. Equate fractions and decimals
4. Compare remainder fractions with decimal fractions (e.g. divide 6.0 by 5 and compare answers 1.2 with 1 r1 (or 1 and 1 fifth))
Add/subtract…
1. Without a calculator up to 4 digits at most 2 d.p.s – easy examples only
2. With a calculator for 4 digits with at most 2 decimal places
Multiply/divide…
1. Mentally up to 4 digits including decimals by 10 and 100
2. Without a calculator up to 4 digits with at most 2 d.p.s by a single digit
3. With a calculator for 4 digits with at most 2 decimal places by a whole number with 2 digits
Information Handling
1. Collect by selecting sources of information, including questionnaires, which allow several responses to the question (e.g. ‘What did you buy from the tuck shop?’)
2. Organise by using diagrams or tables
3. Display by constructing bar, line and frequency polygons involving continuous data which has been grouped
4. Interpret from a range of displays by retrieving information subject to one condition
D2
1. Read/write whole numbers up to 1,000,000
2. Add and subtract 2 digits from 2 digits (e.g. 34+67, 45-13, 98+35)
3. Multiply and divide 2 and 3 digit numbers by a single digit – easy examples (200¸4, 300¸6, 420¸7 etc)
4. Find 1 half of 3 digit multiples of 10 (e.g. 1 half of 220, 1 half of 430, 1 half of 560)
5. Find 25% and 50% of simple quantities – easy examples
6. Count on in 1s, 10s, 100s, and 1000s from any 4 digit number up to 100,000
7. Round whole numbers to the nearest 10 or 100 (e.g. 737+188 is about 700+200)
8. Round 2 decimal place numbers to the nearest whole number
9. Equate simple fractions and decimals (e.g. 1 tenth, 2 tenths, 1 half, 1 quarter, 3 quarters, 1 fifth, 28 hundredths, 7 twentieths, 31 fiftieths)
Non Calculator Work
1. Read/write whole numbers up to 1,000,000
2. Exchange money up to £20
3. Add and subtract for 4 digits with at most 2 decimal places
4. Multiply for 4 digits with at most 2 decimal places by a single digit
5. Divide for 4 digits with at most 2 decimal places by a single digit
6. Find simple fractions of quantities involving at most 4 digits (e.g. 1 seventh, 3 quarters, 3 fifths, 60 hundredths)
7. Use decimal notation when finding 1 half of odd whole numbers (e.g. 1 half of 123 = 61.5)
Time
1. Use 24-hour times and equate with 12-hour times e.g. simple 24-hour timetables
2. Calculate time duration in hours and minutes mentally if possible (e.g. a journey)
3. Time activities in seconds with a stopwatch
4. Calculate speeds (practical activities)
Symmetry
1. Identify and draw lines of symmetry, generally up to 4
2. Create symmetrical shapes
Range of Shape
1. Identify and name equilateral and isosceles triangles
2. Recognise pentagon and hexagon
3. Discuss 2D shapes referring to diagonals, sides and angles
4. Extend vocabulary to radius, diameter and circumference
5. Create and copy a tiling using a shape template
Number Machines
1. Recognise and explain simple relationships between two sets of numbers or objects in words or on a flowchart or diagram (finding a general rule, for a simple case: ‘Goes up by’ or ‘Adding on each time’ is not acceptable)
Special Numbers, Patterns and Sequences
1. Continue and describe more complex sequences (e.g. 1, 1, 2, 3, 5, 8, 13…)
D3
1. Find change from £20
2. Find 10% of quantities in application in number, money and measurement
3. Use decimal notation to find 1 half of odd numbers (e.g. 1 half of 3 = 1.5)
4. Find 75% of quantities in application in number, money and measurement
5. Calculate time durations in hours and minutes
6. Equate 24 hour times with 12 hour times
7. Equate simple fractions, percentages and decimals
8. Convert ml to/from litres, g to/from kg, cm to/from m, mm to/from cm
9. Decimals to 2 places and equivalence in measurement and money (e.g. 1m35cm = 1.35m)
10. Calculate perimeter of straight sided shapes by adding lengths
11. Estimate small weights
12. Estimate small volumes
13. Estimate small areas
14. Multiply and divide 4 digit numbers including 2 decimal places by 10 and 100
Range of Shape
1. Discuss 3D shapes referring to faces, edges and vertices
2. Make 3D models, solid and skeletal, including nets: cube and cuboid only
3. Use the rigidity properties of triangles in model making
Money
1. Exchange coins/notes up to £20
2. Mentally calculate change from £20
3. Add and subtract money, in context, up to 4 digits and 2 decimal places – easy examples only
4. Mentally multiply and divide for 4 digits by 10 and 100
5. Multiply and divide for 4 digits with at most 2 decimal places by a single digit
6. With a calculator add and subtract money in context for 4 digits with at most 2 decimal places
7. With a calculator multiply and divide for 4 digits with at most 2 decimal places by a whole number with 2 digits
Information Handling
1. Collect by selecting sources of information for tasks including a questionnaire which allows several responses to each question
2. Organise by using a database or spreadsheet table with up to 3 fields defined by pupils with the aid where appropriate of a computer package
3. Display by constructing pie charts – involving simple fractions or decimals with the aid where appropriate of a computer package
4. Interpret from a range of displays and databases by retrieving information subject to one condition
Position and Movement
1. Give and understand directions for a route or journey
Area
1. Calculate the area of right-angled triangles on cm squared grids
Measurement
1. Measure small lengths in millimetres, large lengths like buildings in metres
2. Calculate perimeter of straight sided shapes by adding lengths
3. Equate decimals to 2 d.p.s and measure e.g. 1.35m=1m 35cm
4. Recognise when km are appropriate
5. Select appropriate measuring devices and units for weight
6. Weigh a wide range of objects accurately
7. Know that 1 litre = 1000ml
8. Measure volume in small containers in millilitres
9. Measure temperature in standard units
10. Estimate small weights and small volumes in easily handled standard units
11. Be aware of common Imperial units
12. Add, subtract, multiply and divide length, weight and volume in context
Non Calculator Work
1. Add and subtract for 4 digits with at most to 2 decimal places
2. Multiply and divide for 4 digits with at most 2 decimal places by a single digit in application in number, money and measurement
3. Percentages of amounts up to 4 digits, easy examples only involving whole numbers (e.g. 50%, 25%, 10%)
4. Use decimal notation to find 1 quarter of odd numbers (e.g. 1 quarter of 17 = 4.25, 1 quarter of 19 = 4.75)
Angles
1. Know and use standard notation to express bearings
Number, Money and Measurement
Range and type of numbers
At level D your child will be::
1. Counting, reading writing and ordering whole numbers up to 100 000.
Ø Ask your child to write you a cheque for the week’s lottery win.
2. Extending work on fractions to include twentieths, fiftieths and hundredths.
1 / 1 / 120 / 50 / 100
3. Calculating equal fractions and decimals:
E.g. ½ = 5/10 = 0.5
Ø Share the lottery winnings between the family. E.g. ¼, ½ etc.
4. Finding percentages of given amounts.
E.g. 50% of £12 = £6
Ø Look for sale prices in shops, magazines and newspapers. Work out the prices for 50%, 25% off.
5. Recording money and measurement to 2 decimal places.
E.g. 105p = £1.05
6. 152cm = 1m 52cm or 1.52m
Ø Measure the family’s heights in centimetres and change to decimals. E.g. 152cm = 1m 52cm
Money
At Level D your child will be;
1. Working with the following coins and notes in a variety of calculations.
1p 2p 5p 10p 20p 50p £1 £2 £5 £10 £20
Ø At the shops let your child pay for items up to £20 or more – pay in notes and coins – check the change.
Ø Use shopping catalogues to ‘spend’ money up to £100.
e.g. Buy five household items for £60:
Ø Work out how much change should be given.
Ø List the coins and notes to be given in change.
Look at a take away menu. Plan a meal for the family:
Ø Work out the total cost.
Ø Think of different combinations of notes to pay the bill and receive change.
Add and subtract
At Level D, your child will be:
1. Mentally adding and subtracting the following:
Numbers to 99
Multiples of 10 (10 20 30 40 etc.)
Multiples of 100 (100, 200, 300 etc.)
Ø Play darts, and ask your child to mentally keep the score.
Ø Look at the winning lottery numbers and add them together mentally.
2. Adding and subtracting numbers with 4 digits with at most, 2 decimal places, with and without a calculator.
E.g. £14.50 – £1.75
Ø Ask your child to add prices of clothes, DVDs, CDs etc