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Maths Department - Key Stage 3 Scheme of Work
Key Stage 3 lasts Year 7, Year 8 and Year 9 and during this time pupils are introduced to as many different aspects of Maths as possible.
During the three years pupils cover units of work. At the beginning of Year 7 the units of work are based around basic number skills but as pupils work through the units further Numeracy skills are slowly introduced so by the end of Year 9 pupils are required to use and demonstrate a range of skills when working through a unit.
The links for each unit will open up a new page outlining the work that will be carried out each week when the unit is being taught. For those who want to continue the work outside of school there are links to useful web pages. In addition those pupils carrying out the unit will have access to the [1] MTSOC materials which they can download and use.
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Unit 1 - Number
- Square Numbers
- What is meant by 'square numbers'
- Recall the number facts for square numbers
- Simple Sequences
- Recognise and extend number sequences by adding or subtracting
- Extend beyond zero when counting back
- Recognise and explain patterns in sequences
- Mental addition and subtraction
- Add and subtract 10, 20, 30 . . . to two digit numbers
- Add and subtract 1 to 9 to any whole number
- Add pairs of two digit numbers by adding tens and units separately
- Subtract numbers by counting up through the next multiple of 10, 100 or 1000
- Subtract pairs of two digit numbers
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Unit 2 - Number
- Putting numbers into words
- Read and write numbers using figures and words
- Multiplying and dividing by 10 and 100
- Multiply whole numbers by 10 and 100
- Divide whole numbers by 10 and 100
- Positive and negative numbers
- Put positive and negative numbers in order
- Work with temperature differences
- Addition and subtraction
- Add numbers
- Subtract numbers
- Recognise when to add and when to subtract numbers
- Calculating with money
- Practise calculating with money
- Work with bills
- Addition and subtraction problems
- Use addition and subtraction to solve word problems
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Unit 3 - Perimeter and Area
- Perimeter
- Measure lines to the nearest centimetre
- Understand perimeter
- Find centimetres by measuring, counting and calculating
- Solve word problems and puzzles involving perimeter
- Solve word problems and puzzles involving perimeter
- Measure lines to the nearest millimetre
- Work in measurements given in cm and mm to one decimal place
- Solve word problems using cm and mm
- Metres and centimetres
- Work with measurements given in metres and centimetres
- Add together measurements given in metres and cm
- Area
- Measure areas by counting squares
- Work out areas measured in square cm
- Learn and use the formula for the area of a triangle
- 3D shapes
- Work with drawings of 3D shapes
- Work with nets of an open cube
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Unit 4 - Bar Charts and Line Graphs
- Bar charts and bar line graphs
- Read data from bar charts and bar line graphs
- Charts and tables
- Read data from other kinds of charts and tables
- Mode and range
- Find the mode and range of sets of data
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Unit 5 - Fractions
- Fractions
- Find fractions of shapes
- Order fractions on a number line
- Find pairs of fractions that add up to one
- Fractions and whole numbers
- Write fractions using words and numbers
- Know how many halves, thirds, quarters, there are in mixed numbers
- Decimals
- Use decimal notation for tenths and hundredths
- Learn to use equivalent fractions and decimals
- Common fractions and decimals
- Learn the most common equivalent fractions and decimals
- Work out halves, quarters and three quarters of amounts
- Practise halving and doubling fractions
- Percentages
- Work with percentages
- Know common fractions as percentages
- Equivalent fractions
- Equivalent fractions that equal 1/2, 1/3 and 1/4
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Unit 6 - Number
- Doubles and halves
- Mental Calculations
- Use doubling and halving
- Work out multiples of 10, 100, 25 and 50 in your head
- Multiply in your head, for example 67 x 8
- Multiply simple decimals in your head
- Addition
- Add simple decimals in your head
- Practise written addition of whole numbers and decimals
- Subtraction
- Subtract simple decimals in your head
- Multiplication
- Multiply mentally
- Solve problems that involve multiplication
- Division
- Use division to solve simple problems
- Use links between multiplication and division
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Unit 7 - Probability
- How likely
- Decide whether events are certain, uncertain or impossible
- Measuring probability
- Use the probability scale of 0 to 1
- Working out probabilities
- Work out probabilities of events
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Unit 8 - Lines and Rectangles
- Lines and rectangles
- Learn about rectangles and parallel and perpendicular lines
- Triangles and coordinates
- Classify triangles using their properties
- Read and label points on a coordinate diagram
- Fun with coordinates
- Solve problems using coordinates
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Unit 9 - Ordering Numbers
- Ordering numbers
- Order numbers
- Use =, <, >, ? and ? signs
- Multiples
- Recognise multiples of 6, 7, 8 and 9
- Learn multiplication tables
- Tests of divisibility
- Divide two digit numbers by four
- Know how to test if a number is divisible by 2, 4, 5, 10 or 100
- Factors
- Learn the meaning of the word factor
- Find factors of two digit numbers
- Recognise prime numbers
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Unit 10 - Mental Calculations
- Mental Calculations
- Add several numbers in your head
- Add multiples of 10 or 100
- Use the links between addition and subtraction
- Multiplication
- Use a written method of multiplication
- Solve real life problem
- Division
- Use estimation to check answers
- Use a written method of division
- Rounding
- Round decimals to the nearest whole number
- Round numbers to the nearest 10 or 100
- Use a written method of division
- Money and 'real life' problems
- Practise using mental, written and calculator methods
- Use addition, subtraction, multiplication or division to solve word problems
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Unit 11 - Mass
- Mass
- Convert kilograms into grams, and grams into kilograms
- Units of mass
- Read scales
- Work with grams, kilogrammes and tonnes
- Use imperial measures
- Capacity
- Convert millimetres to litres and litres to millimetres
- Time
- Use the 12-hour and 24-hour clocks
- Read timetables
- Work on timetables
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Unit 12 - Line Graphs
- Line Graphs
- Read and interpret information from line graphs
- Understand the meaning of intermediate points on a graph
- Pie graphs and bar charts
- Read and use information from pie charts
- Read and use information from bar charts
- Information from tables and lists
- Read and interpret information from tables and lists
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Unit 13 - Fractions
- quantities
- Work out fractions of amounts of money and other quantities
- percentages
- Use the connection between fraction and percentages
- Work out percentages of quantities
- Changing fractions to decimals
- Use decimal equivalents of simple fractions
- Ordering fractions and decimals
- Put fractions in order of size
- Review place values for tenths and hundredths
- Order decimals
- Ratio and proportion
- Solve simple problems involving ratio and proportion
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Unit 14 - Line Symetry and Reflection
- Symetry and Reflection
- Recognise reflective symmetry
- Reflect shapes in a mirror line
- Measuring angles
- Use a protractor t measure angles to the nearest degree
- Naming and estimating angles
- Classify angles to type and size
- Estimate the size of angles
- Drawing angles
- Draw angles to the nearest degree
- Draw and measure lines to the nearest millimetre
- Calculation involving angles
- Use the fact that angles on a straight line add up to 180 degrees
- Work out the size of unknown angles without a protractor.
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Unit 15 - Mental Calculations
- Multiplication
- Revise multiplying two digit numbers by single digit numbers in your head
- Use these methods to solve problems
- Division
- Revise ways of dividing two digit numbers by single digit numbers in your head
- Learn different ways of dealing with remainders
- Solve problems that involve multiplication
- Multiplication – written methods
- Division - written methods
- Revise written methods of division
- Solve problems
- Brackets
- Do calculations involving brackets
- Choose appropriate method for doing calculations
- Money and real life problems
- Solve a range of problems and puzzles
- Choose a the appropriate calculation
- Choose the appropriate methods (mental, written or calculator)
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