Exploring maths and a two-year key stage 3
Exploring maths is ideal for schools that want to cover the ks3 curriculum in two years. This
guidance shows two different ways in which Exploring maths can be used.
Pupils in any year group who have completed Tier 4 or above successfully could be entered early
for the Key Stage 3 test.
Approach 1
Exploring maths can be used to cover the key stage 3 curriculum in fewer lessons. Following
this route would take 80 lessons per Tier.
Here are the lessons in Tiers 1 to 6 that cover the essential material for pupils taking this route.*
Any of the lessons that have been missed out could be used for consolidation or enrichment.
Each Tier also has ten optional revision lessons that can be used at any time.
*Appendix 1 provides more detail by showing the lesson names in each unit.
Tier 1
Unit
Lessons
N1.1
Properties of numbers
1-3
G1.1
Properties of shapes
1-3
N1.2
Adding and subtracting
1-9
A1.1
Patterns and sequences
1, 2, 3, 6, 7
G1.2
Angles and symmetry
1, 2, 4
N1.3
Multiplying and dividing
1-4
S1.1
Graphs and charts 1
1, 3
N1.4
Mental calculations
1-7
G1.3
Measures 1
1-5
N1.5
Fractions
1-2
S1.2
Graphs and charts 2
1-5
N1.6
Money and decimals
1-5
G1.4
Measures 2
1-5
N1.7
Numbers and measures
1-5
G1.5
More properties of shapes
1, 2, 4, 5, 6
N1.8
Multiplying and dividing 2
1, 2, 4
S1.3
Graphs and charts 3
1, 3, 5
G1.6
Measures 3
1-6
Tier 2
Unit
Lessons
N2.1
Properties of numbers
1, 3
N2.2
Whole numbers
1-3, 5, 6-8
A2.1
Patterns and sequences
1-5
N2.3
Fractions, decimals and percentages
1-6
G2.1
Length, perimeter and area
1-4
G2.2
Angles
1-3
N2.4
Decimals
1-6
A2.2
Sequences, functions and graphs
1, 2, 3, 5
Exploring maths 2yrks3
-1-
G2.3
Symmetry and reflection
1-3
N2.5
Decimals and measures
1-6
S2.3
Enquiry 1
1-5
G2.4
Measures
1-5
N2.6
Fractions, percentages and direct proportion
2, 3, 5, 6
S2.4
Probability 2
1, 3
G2.5
Properties of shapes
1-7
A2.3
Expressions and equations
1-5
S2.5
Enquiry 2
1-5
Tier 3
Unit
Lessons
N3.1
Properties of numbers
1, 2, 4, 5
A3.1
Sequences and patterns
1-5
N3.2
Whole numbers and decimals
1-5
G3.1
Area and perimeter
1-3
N3.3
Fractions and percentages
1-7
S3.1
Grouped data and simple statistics
1-3
G3.2
Angles
1-3
S3.2
Probability 1
1-3
N3.4
Decimals and measure
1-6
A3.2
Equations and formulae
1-5
S3.3
Enquiry 1
1, 2, 5
A3.3
Functions and graphs
2-5
G3.3
Transformations
1-5
N3.5
Percentages, ratio and proportion
1-4
G3.4
Properties of shapes
1, 2, 5
S3.4
Enquiry 2
1-5
G3.5
Constructions
1, 2, 3, 5, 6
A3.4
Using algebra
1-7
S3.5
Probability 2
1-3
Tier 4
Unit
Lessons
N4.1
Properties of numbers
1-5
G4.1
Angles and shapes
1, 2, 3, 5
A4.1
Linear sequences
1, 2, 4
N4.2
Whole numbers, decimals and fractions
1-5
S4.1
Probability
1-4
A4.2
Expressions and formulae
1, 2, 4
G4.2
Measures and mensuration
1-5
N4.3
Fractions, decimals and percentages
1-5
S4.2
Enquiry 1
1-6
A4.3
Functions and graphs
1, 3, 4, 5
N4.4
Proportional reasoning
1-4
G4.3
Transformations
1-7
A4.4
Equations and formulae
2, 3, 4, 5, 6
Exploring maths 2yrks3
-2-
S4.3
Enquiry 2
1-7
G4.4
Constructions
1, 2, 3, 6, 7
A4.5
Using algebra
1-8
Tier 5
Unit
Lessons
N5.1
Powers and roots
1, 3
A5.1
Sequences and graphs
1, 2, 4, 5, 6
G5.1
Angles and constructions
1-8
N5.2
Proportional reasoning
1-6
S5.2
Enquiry 1
1-6
A5.2
Equations and formulae
1-6
G5.2
Measures and mensuration
1-6
N5.3
Calculations and calculators
1-6
S5.2
Probability 1
1-3
A5.3
Functions and graphs
1, 2, 4, 5, 6
G5.3
Transformations
2, 4, 6
A5.4
Using algebra
1-3
S5.3
Enquiry 2
1-7
G5.4
2D and 3D s hapes
1, 2, 4, 5, 7, 8
A5.5
Equations, formulae and graphs
1, 3, 4, 5, 6, 7
S5.4
Probability 2
1-4
Tier 6
Unit
Lessons
N6.1
Powers and roots
1-3
A6.1
Expressions and formulae
1-6
N6.2
Proportional reasoning
1-6
S6.1
Enquiry 1
2-6
G6.1
Geometrical reasoning
1-6
A6.2
Linear graphs and inequalities
1,3, 4, 5
G6.2
Trigonometry 1
1-3
A6.3
Algebraic expressions and equations
1, 3, 4, 5, 7
G6.3
Transformations and loci
1-6
N6.3
Decimals and accuracy
2-5
S6.2
Probability 1
1-5
G6.4
Measures and mensuration
12, 3, 4, 6
S6.3
Enquiry 2
3-7
G6.5
Trigonometry 2
1, 2, 3, 5, 6, 7, 8
A6.4
Using algebra
1-5
S6.4
Probability 2
1-4
N6.4
Using and applying maths
3-4
Exploring maths 2yrks3
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Approach 2
If a school has made a substantial amount of extra teaching time available across the two years,
teachers can use the materials with different groups as shown below.
Pupils would complete 1.5 Tiers in each year because they would be spending more time in
maths lessons.
ABILITY GROUP
FIRST YEAR (usually Y7)
SECOND YEAR (usually Y8)
Lower attainers
Pupils who achieved a good level 3 or
weak level 4 at KS2 and will be entered
for the level 4–6 test.
Tier 2
(NC levels 3–4)
Tier 3
(both levels 4 and 5)
Tier 4
(mainly level 5)
Tier 3
(both levels 4 and 5)
Tier 4
(mainly level 5)
Tier 5
(mainly level 6)
Tier 4
(mainly level 5)
Tier 5
(mainly level 6)
Tier 6
(mainly level 7)
Tier 5
(mainly level 6)
Tier 6
(mainly level 7)
Tier 7
(mainly level 8)
Average attainers
Pupils who achieved a secure level 4 at
KS2 and will be entered for the level 5–7
test.
High attainers
Pupils who achieved level 5 at KS2 and
will be entered for the level 6–8 test.
Gifted and talented
Pupils who achieved a strong level 5 at
KS2 and will be entered for the level 6–8
test.
Exploring maths 2yrks3
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Appendix 1
Exploring maths detailed two-year key stage 3 lesson pathway
Tier 1
Unit
Lessons
N1.1
Properties of numbers
1
2
3
Multiples of 10
Multiples of 2 or 5
Odd and even numbers
G1.1
Properties of shapes
1
2
3
Describing and recognising 2D shapes
Describing and recognising 3D shapes
Angles and lines
N1.2
Adding and subtracting
1
2
3
4
5
6
7
8
9
Place value, ordering and rounding
Number facts to 20
Mental strategies
More mental strategies
Written methods: addition
Written methods: subtraction
Word problems
Using a calculator
Number investigations
A1.1
Patterns and sequences
1
2
3
6
7
Multiplication patterns
Simple sequences
More multiplication patterns
Multiplying by 10 or 100
Multiplying bigger numbers
G1.2
Angles and symmetry
1
2
4
Symmetry
More symmetry
Angles
N1.3
Multiplying and dividing
1
2
3
4
Doubling and halving
Sixes and eights
Multiplication
Division and remainders
S1.1
Graphs and charts 1
1
3
Lists and tables
Bar charts
N1.4
Mental calculations
1
2
3
4
5
6
7
Quick ways to add and subtract
Adding and subtracting two-digit numbers
Inverse operations
Introducing thousands
Multiplying and dividing by 10 or 100
Working out new facts
Sevens and nines
G1.3
Measures 1
1
2
3
4
5
Reading time
A long time
What measurements to use?
The metric system
Measuring length
N1.5
Fractions
1
2
Fractions of shapes
Fractions of numbers
Exploring maths 2yrks3
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Tier 1 cont.
S1.2
Graphs and charts 2
1
2
3
4
5
Tally charts and frequency diagrams
Bar charts
Pictograms
Carroll diagrams
Venn diagrams
N1.6
Money and decimals
1
2
3
4
5
Coins and notes
Pounds and pence
Money problems
Tenths
Tenths and hundredths
G1.4
Measures 2
1
2
3
4
5
Clocks and timetables
Seconds, minutes, hours, days and weeks
Scales
Mass
Capacity
N1.7
Numbers and measures
1
2
3
4
5
Positive and negative numbers
Reading scales
Adding tenths
Tenths and hundredths
Metres, centimetres and millimetres
G1.5
More properties of shapes
1
2
4
5
6
Properties of polygons
Making 2D shapes and patterns
Angle
Compass points
Coordinates
N1.8
Multiplying and dividing 2
1
2
4
Tables to 10
Multiplying by multiples of 10
Multiplication
S1.3
Graphs and charts 3
1
3
5
Lists and tables
Bar charts
Interpreting pictograms
G1.6
Measures 3
1
2
3
4
5
6
Clock, timetables and calendars
Reading scales
Standard metric units 1
Standard metric units 2
Perimeter
Area
Optional Revision units for use at any point in Tier 1
R1.1
1
2
3
4
5
Revision unit 1
Place value
Adding and subtracting
Money problems
Properties of shapes
Tables, graphs and charts
Exploring maths 2yrks3
R1.2
1
2
3
4
5
-6-
Revision unit 2
Sequences
Multiplying and dividing
Fractions
Measures
Charts and graphs
Tier 2
Unit
Lessons
N2.1
Properties of numbers
1
3
Square numbers
Positive and negative integers
N2.2
Whole numbers
1
2
3
5
6
7
8
Place value, ordering and rounding
Mental addition and subtraction
Written methods
Multiplying and dividing by 10, 100 and 1000
Multiplication tables
Multiplication
Division
A2.1
Patterns and sequences
1
2
3
4
5
Continuing sequences
Sequences from rules
Multiples
Factors
Investigating patterns
N2.3
Fractions, decimals and
percentages
1
2
3
4
5
6
Fractions of shapes
Equivalent fractions
Fractions of quantities
Decimal place value
Tenths and hundredths
Percentages of quantities
G2.1
Length, perimeter and area
1
2
3
4
Length
Perimeter
Finding areas by counting squares
Area of rectangles
G2.2
Angles
1
2
3
Amounts of turn
Measuring angles
Drawing angles
N2.4
Decimals
1
2
3
4
5
6
Decimals and the number line
Ordering decimals
Rounding
Decimals and money
Adding and subtracting decimals
Using a calculator
A2.2
Sequences, functions and
graphs
1
2
3
5
Sequences
Function machines
Finding the rule
Coordinates
G2.3
Symmetry and reflection
1
2
3
Reflection
Symmetry
Translation
N2.5
Decimals and measures
1
2
3
4
5
6
Metres, centimetres and millimetres
Converting units of measurements
Reading scales
Time
Remainders
Word problems
Exploring maths 2yrks3
-7-
S2.3
Enquiry 1
1
2
3
4
5
Collecting and organising data
Venn and Carroll diagrams
Bar charts and pie charts
Bar-line graphs
Mode and range
1
2
3
4
5
Converting units
Reading scales
Estimating and measuring
Time intervals
Timetables
N2.6
Fractions, percentages and
direct proportion
2
3
5
6
Fractions, decimals and percentages
Percentages of quantities
Introducing ratio and proportion
Scaling up and down
S2.4
Probability 2
1
3
Probability scale
Equally likely outcomes
G2.5
Properties of shapes
1
2
3
4
5
6
7
Parallel and perpendicular lines
Properties of shapes
Classifying shapes
Angles
Drawing 2D shapes on grids
Making shapes and solids
Nets
A2.3
Expressions and equations
1
2
3
4
5
Order of operations
Using brackets
Letters for numbers
Collecting like terms
Substitution
S2.5
Enquiry 2
1
2
3
4
5
Collecting data
Representing data
Interpreting data
Drawing conclusions and writing a report
Line graphs
G2.4
Measures
Optional Revision units for use at any point in Tier 2
R2.1
Revision unit 1
1 Measures and measuring scales
2 Solving number problems
3 Sequences and patterns
4 Perimeter and area
5 Drawing and interpreting graphs
and charts
Exploring maths 2yrks3
R2.2
Revision unit 2
1 Inverse operations
2 Equivalent fractions, decimals and percentages
3 Expressions and equations
4 Symmetry and reflection
5 Probability
-8-
Tier 3
Unit
Lessons
N3.1
Properties of numbers
1
2
4
5
Positive and negative integers
Order of operations and brackets
Multiples and tests of divisibility
Factors, primes, HCF and LCM
A3.1
Sequences and patterns
1
2
3
4
5
Sequences and rules
Find missing terms
Sequences from patterns
Using a letter symbol
Finding a term from its position
N3.2
Whole numbers and
decimals
1
2
3
4
5
Place value
Ordering and rounding
Mental calculations
Written calculations
Using a calculator
G3.1
Area and perimeter
1
2
3
Area and perimeter of rectangles
Irregular shapes
Surface area of cuboids
N3.3
Fractions and percentages
1
2
3
4
6
7
Fractions of shapes
Equivalent fractions
Changing fractions to decimals
Equivalent fractions, decimals and %
Fractions of whole-number quantities
Percentages of whole-number quantities
S3.1
Grouped data and simple
statistics
1
2
3
Constructing charts and tables
Calculating statistics
Interpreting graphs and diagrams
G3.2
Angles
1
2
3
Measuring and drawing angles
Angles on a straight line
Angles at a point
S3.2
Probability 1
1
2
3
The probability scale
Equally likely outcomes
Probability experiments
N3.4
Decimals and measure
1
2
4
5
6
Estimating and converting measurements
Reading scales
Problems involving time
Multiplication and division calculations
Solving problems with a calculator
Exploring maths 2yrks3
-9-
A3.2
Equations and formulae
1
2
3
4
5
Terms and expressions
Multiplying terms in brackets
Formulae
Equations: addition and subtraction
Equations: multiplication and division
S3.3
Enquiry 1
1
2
5
Planning a project
Collecting data 1
Interpreting charts and graphs
A3.3
Functions and graphs
2
3
4
5
Plotting points
Straight-line graphs
Plotting straight-line graphs
Sequences
G3.3
Transformations
1
2
3
4
5
Line symmetry
Reflections
Rotation symmetry
Rotations
Translations
1
2
Equivalent fractions and percentages
Finding percentages, including discounts
3
4
Dividing a quantity in a given ratio
Direct proportion
N3.5
Percentages, ratio and
proportion
G3.4
Properties of shapes
1
2
5
Parallel and perpendicular lines
Properties of shapes 1
Angle sum of a triangle
S3.4
Enquiry 2
1
2
3
4
5
Collecting data
Calculating statistics
Using statistics
Representing data
Interpreting and discussing data
G3.5
Constructions
1
2
3
5
6
Drawing line segments and parallel lines
Constructing shapes with right angles
Acute, obtuse and reflex angles
Nets of 3D shapes
Properties of 3D shapes
A3.4
Using algebra
1
2
3
4
5
7
Working with expressions
Functions and equations
Solving equations
Square and triangular numbers
More sequences from patterns
Interpreting real-life graphs 2
S3.5
Probability 2
1
2
3
Equally likely outcomes
Experimental probability
Comparing probabilities
Exploring maths 2yrks3
- 10 -
Optional Revision units for use at any point in Tier 3
R3.1
Revision unit 1
1 Whole number and decimal
calculations
2 Fractions, decimals and
percentages
3 Expressions and equations
4 Charts, graphs and simple
statistics
5 Probability
Exploring maths 2yrks3
R3.2
Revision unit 2
1 Solving word problems
2 Ratio
3 Sequences, functions and graphs
4 Area and perimeter
5 Symmetry and transformations
- 11 -
Tier 4
Unit
Lessons
N4.1
Properties of numbers
1
2
3
4
5
Order of operations
Adding and subtracting directed numbers
Multiplying and dividing directed numbers
Powers and roots
Multiples, factors and primes
G4.1
Angles and shapes
1
2
3
5
Corresponding angles
Alternate angles
Angles in a triangle and quadrilateral
Properties of quadrilaterals
A4.1
Linear sequences
1
2
4
Term-to-term rules
Position-to-term rules
Exploring patterns
N4.2
Whole numbers, decimals
and fractions
1
2
3
4
5
Place value
Ordering, adding and subtracting decimals
Multiplication and division calculations
Using a calculator
Equivalent fractions and fractions of quantities
S4.1
Probability
1
2
3
4
Theoretical probability
Events not happening
The probability of two events
Experimental probability
A4.2
Expressions and formulae
1
2
4
Simplifying expressions
Using formulae
Using algebraic expressions
G4.2
Measures and mensuration
1
2
3
4
5
Conversion between units
Perimeter and area of triangles
Perimeter and area of quadrilaterals
Volume of cuboids
Surface area of cuboids
N4.3
Fractions, decimals and
percentages
1
2
3
4
5
Ordering fractions
Calculations with fractions
Multiplying and dividing decimals 1
Multiplying and dividing decimals 2
Calculating percentages
S4.2
1
2
3
4
5
6
Specifying the problem and planning
Processing data
Representing data
Analysing data sets
Comparing groups
Presenting results
Enquiry 1
Exploring maths 2yrks3
- 12 -
A4.3
Functions and graphs
1
3
4
5
Plotting points
Functions, equations and graphs
Sketching graphs
Interpreting equations of graphs
N4.4
Proportional reasoning
1
2
3
4
Dividing a quantity in a given ratio
Solving ratio problems
Scale drawings
Direct proportion – the unitary method
G4.3
Transformations
1
2
4
5
7
Repeated transformations
Using transformations to solve problems
Scale factor
Centre of enlargement
Finding the midpoint
A4.4
Equations and formulae
2
3
4
5
6
Solving linear equations
More linear equations
Forming equations and formulae
Equations with brackets
Terms with x on both sides of the equation
S4.3
Enquiry 2
1
2
3
4
5
6
7
Collecting continuous data
Processing and representing continuous data
Analysing and interpreting distributions
Communicating findings
Mean, median and range
Comparing experimental and theoretical
probability
Line graphs for time series
G4.4
Constructions
1
2
3
6
7
Drawing arcs and circles
Constructing midpoints and bisectors
Constructing triangles on paper
Scale drawings
Using bearings
A4.5
Using algebra
1
2
3
4
5
6
7
8
Simplifying expressions
Factorising expressions
Solving linear equations
Sketching linear graphs
Drawing and interpreting linear graphs
Interpreting graphs of real-life situations
Word problems
Geometrical problems
Optional Revision units for use at any point in Tier 4
R4.1
1
2
3
4
5
Revision unit 1
Place value
Solving calculations problems
Expressions and sequences
Perimeter, area and volume
Probability
Exploring maths 2yrks3
R4.2
1
2
3
4
5
- 13 -
Revision unit 2
Percentages
Ratio and proportion
Equations and graphs
Angles and transformations
Representing and interpreting data
Tier 5
Unit
Lessons
N5.1
Powers and roots
1
3
Working with integer powers of numbers
Prime factor decomposition
A5.1
Sequences and graphs
1
2
4
5
6
Generating sequences
Making generalisations
Sketching linear graphs
Rearranging linear equations
Graphs using real-life contexts
G5.1
Angles and constructions
1
2
5
6
7
8
Angles in polygons
Regular polygons
Polygons and parallel lines
Constructions
Constructing triangles
Loci
N5.2
Proportional reasoning
S5.2
Enquiry 1
1
2
3
4
5
6
1
2
3
4
5
6
Adding and subtracting fractions
Multiplying fractions
Dividing fractions
Percentage change
Ratio
Direct proportion
Stem-and-leaf diagrams
Starting investigation 1
Completing investigation 1
Data collection sheets
Starting investigation 2
Completing investigation 2
A5.2
Equations and formulae
1
2
3
4
5
6
Multiplying out brackets
Factorising expressions
Substituting into formulae
Changing the subject of a formula
Solving linear equations
Trial and improvement
G5.2
Measures and mensuration
1
Perimeter and area
2
3
Finding 
Area of a circle
4
5
6
Solving circle problems and using 
Volume of prisms
Surface area of prisms
1
2
3
4
5
6
1
2
3
Powers of 10
Rounding and approximation
Mental calculations with decimals
Written calculations with decimals
Using a calculator
Problems involving measures
Theoretical and experimental probability
Mutually exclusive events
Using experimental probability
N5.3
Calculations and calculators
S5.2
Probability 1
Exploring maths 2yrks3
- 14 -
A5.3
Functions and graphs
1
2
4
5
6
Generating linear graphs using ICT
Sketching graphs
Drawing accurate graphs
Direct proportion
Simple quadratic graphs using ICT
G5.3
Transformations
2
4
6
Combined transformations
Enlargements
Length, area and volume
A5.4
Using algebra
1
2
3
Using graphs to solve problems
Using algebra in geometry problems
Using algebra in investigations
S5.3
Enquiry 2
1
2
3
4
5
6
7
Calculating statistics
Line graphs for time series
Scatter graphs
Planning and collecting data
Organising and presenting data
Analysing and interpreting data
Reporting and evaluating
G5.4
2D and 3D shapes
1
2
4
5
7
8
Exploring angles and lines
Solving problems
Drawing 3D objects
Drawing plans and elevations
Solving problems using surface area and
volume
Surface area and volume of prisms
A5.5
Equations, formulae and
graphs
1
3
4
5
6
7
Factorising
Working with formulae
Forming equations
Visualising graphs
Interpreting graphs
Matching graphs to real-life situations
S5.4
1
2
3
4
Simple probability
Equally likely outcomes with two events
Mutually exclusive events
Practical probability experiments
Probability 2
Optional Revision units for use at any point in Tier 5
R5.1
1
2
3
4
5
Revision unit 1
Efficient calculations
Using percentages to compare
proportions
Sequences, equations and
graphs
Angles and polygons
Constructing and interpreting
diagrams
Exploring maths 2yrks3
R5.2
1
2
3
4
5
- 15 -
Revision unit 2
Ratio and proportion
Solving number problems
Expressions, equations and formulae
Circles and enlargements
Probability
Tier 6
Unit
Lessons
N6.1
Powers and roots
1
2
3
Squares, cubes and roots
Equivalent calculations using powers of 10
Standard form
A6.1
Expressions and formulae
1
2
3
4
5
6
Simplifying algebraic fractions
Solving linear equations
Expansion of brackets
Factorising
Identities
Changing the subject of a formula
N6.2
Proportional reasoning
1
3
4
5
6
Fraction calculations
Percentages and interest rates
Reverse percentages
Rate and speed
Proportionality
S6.1
Enquiry 1
2
3
4
5
6
Grouped data – frequency polygons
Grouped data – average and range 1
Grouped data – average and range 2
Comparing sets of grouped data
Scatter graphs and lines of best fit
G6.1
Geometrical reasoning
1
2
3
4
5
6
Isosceles triangle problems
Evidence or proof?
Congruent triangles
Radii, chords and tangents
Similar shapes
Introducing Pythagoras’ rule
A6.2
Linear graphs and
inequalities
1
3
4
5
Sketching and drawing linear graphs
Properties of linear graphs
Solving simultaneous equations 1
Solving simultaneous equations 2
G6.2
1
2
3
Introducing trigonometry
Using tangent
Using sine and cosine
A6.3
Algebraic expressions and
equations
1
3
4
5
7
Simultaneous equations 1
Expanding brackets 1
Expanding brackets 2
Factorising quadratic expressions
Solving quadratic equations graphically
G6.3
1
2
3
4
5
6
How long is that line?
Divide that line
Enlargement
Rotation
Combinations of transformations
Loci 1
Trigonometry 1
Transformations and loci
Exploring maths 2yrks3
- 16 -
Tier 6 cont.
N6.3
Decimals and accuracy
2
3
4
5
Significant figures
Using a calculator
Back of an envelope calculations
Measurement errors
S6.2
Probability 1
1
2
3
4
5
Relative frequency
Exploring relative frequency
Combined events
Tree diagrams and independent events
Probability experiments
G6.4
Measures and mensuration
1
2
3
4
6
Arcs and circumference
Sectors and area
Right-prisms and cylinders
Units of area and volume
Plans and elevations
S6.3
Enquiry 2
3
4
5
6
7
Drawing and interpreting frequency polygons
Grouped data – estimating the mean
Grouped data – average and range
Scatter graphs and lines of best fit
Lengths and angles 1
G6.5
Trigonometry 2
1
2
3
5
6
7
8
Using Pythagoras to find the hypotenuse
Using Pythagoras’ rule to find a shorter side
Triangles
Using the trigonometry ratios
Choosing between sine, cosine and tangent
Finding lengths
Tessellations
A6.4
Using algebra
1
2
3
4
5
Properties of linear graphs
Parallel and perpendicular lines
Generating quadratic graphs
Generating cubic graphs
Drawing quadratic graphs
S6.4
Probability 2
1
2
3
4
Ice cream sales
Right or left or …?
Tree diagrams and probability
Relative frequency and theoretical probability
N6.4
Using and applying maths
3
4
Investigating paper sizes
Proof
Optional Revision units for use at any point in Tier 6
R6.1
1
2
3
4
5
Revision unit 1
Fractions and percentages
Ratio and proportion
Expressions and equations
Angles and triangles
Probability
Exploring maths 2yrks3
R6.2
1
2
3
4
5
- 17 -
Revision unit 2
Decimals
Sequences and graphs
Graphs and equations
2D and 3D shapes
Grouped frequency