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Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B...

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Outline of Progression Set KS2 Result Year 7 Year 8 Year 9 Year 10 Year 11 1 5 6 7 8 A/A* 2 4b- 5c 6 7 8 A/A* 3 4 5 6 7 B 4 3 4 5 6 C 5 2-3 4 5 6 C
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Page 1: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Outline of Progression

Set KS2 Result

Year 7 Year 8 Year 9 Year 10 Year 11

1 5 6 7 8 A/A*

2 4b-5c 6 7 8 A/A*

3 4 5 6 7 B

4 3 4 5 6 C

5 2-3 4 5 6 C

Page 2: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4Block 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Number 3 Algebra 2 Shape and Space 3

Handling Data 3

Test and CP3

Block 4 Number 4 Algebra 3 Shape and Space 4

Handling Data 4

Test and CP4

Back to Outline

Project Activities

Page 3: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5Block 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Algebra 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Number 3 Algebra 3 Shape and Space 3

Handling Data 3

Test and CP3

Block 4 Number 4 Algebra 4 Shape and Space 4

Handling Data 4

Test and CP4

Project Activities

Back to Outline

Page 4: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 6Block 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Algebra 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Number 3 Algebra 3 Shape and Space 3

Handling Data 3

Test and CP3

Block 4 Number 4 Algebra 4 Shape and Space 4

Handling Data 4

Test and CP4

Project Activities

Back to Outline

Page 5: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 7Block 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Algebra 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Number 3 Algebra 3 Shape and Space 3

Handling Data 3

Test and CP3

Block 4 Number 4 Algebra 4 Shape and Space 4

Algebra 5 Test and CP4

Project Activities

Back to Outline

Page 6: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 8Block 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Algebra 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Number 3 Algebra 3 Shape and Space 3

Algebra 4 Test and CP3

Block 4 Algebra 5 Shape and Space 4

Algebra 6 Handling Data 4

Test and CP4

Project Activities

Back to Outline

Page 7: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade C Block 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Algebra 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Number 3 Algebra 3 Shape and Space 3

Handling Data 3

Test and CP3

Block 4 Number 4 Algebra 4 Shape and Space 4

Handling Data 4

Test and CP4

Back to Outline Project Activities

Page 8: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade CBlock 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Algebra 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Number 3 Algebra 3 Shape and Space 3

Handling Data 3

Test and CP3

Block 4 Number 4 Algebra 4 Shape and Space 4

Algebra 5 Test and CP4

Project Activities

Back to Outline

Page 9: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade B Block 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Algebra 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Number 3 Algebra 3 Shape and Space 3

Handling Data 3

Test and CP3

Block 4 Number 4 Algebra 4 Shape and Space 4

Handling Data 4

Test and CP4

Back to Outline Project Activities

Page 10: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade BBlock 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Algebra 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Number 3 Algebra 3 Shape and Space 3

Algebra 4 Test and CP3

Block 4 Algebra 5 Shape and Space 4

Algebra 6 Handling Data 4

Test and CP4

Project Activities

Back to Outline

Page 11: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade A/A* Block 1 Number 1 Algebra 1 Shape

and Space 1

Handling data 1

Test and CP1

Block 2 Number 2 Algebra 2 Shape and Space 2

Handling Data 2

Test and CP2

Block 3 Algebra 3 Shape and Space 3

Handling Data 3

Algebra 4 Test and CP3

Block 4 Shape and Space 4

Algebra 5 Shape and Space 5

Shape and Space 6

Test and CP4

Project Activities

Back to Outline

Page 12: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 1: Number 1

• Understanding of place value in integers.

• Multiply and divide whole numbers by 10 or 100.

• Approximate to nearest 10, 100, 1000.

Level descriptors

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Page 13: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 1: Algebra 1

• Use simple formulae expressed in words.

Level descriptors

Back to Level 4 Programme of studyKey terms and notation APPR & C

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Page 14: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 1: S & S 1

• Reflect simple shapes in a mirror line.

• Choose and use appropriate units and tools, interpreting, with appropriate accuracy, numbers on a range of measuring instruments.

Level descriptors

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Page 15: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 1: Handling Data 1

• Construct, read information from, interpret and draw conclusions from pictograms

Level descriptors

Back to Level 4 Programme of studyKey terms and notation APPR & C

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Page 16: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 2: Number 2

• Mental methods of addition and subtraction.

• Efficient written methods of addition and subtraction of any two numbers.

Level descriptors

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Page 17: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 2: S & S 2

• Find perimeters of simple shapes.

• Find areas by counting squares.

Level descriptors

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Page 18: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 2: Handling Data 2

• Types of data: grouped, ungrouped• Collect discrete data and record them using a

frequency table.• Group data in equal class intervals where

appropriate.• Construct, read information from, interpret and

draw conclusions from bar charts• Construct, read information from, interpret and

draw conclusions from tally charts• Represent grouped data in frequency diagrams

and interpret such diagrams.Level descriptors

Back to Level 4 Programme of studyKey terms and notation APPR & C

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Page 19: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 3: Number 3

• Mental methods of multiplication and division.

• Efficient written methods of short multiplication and division.

Level descriptors

Back to Level 4 Programme of studyKey terms and notation APPR & C

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Page 20: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 3: Algebra 2

• Collecting like terms (from level 5)

Level descriptors

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Page 21: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 3: S & S 3

• Draw common 2D shapes in different orientations on grids.

Level descriptors

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Page 22: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 3: Handling Data 3

• Construct and interpret simple line graphs.

Level descriptors

Back to Level 4 Programme of studyKey terms and notation APPR & C

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Page 23: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 4: Number 4

• Mental recall of multiplication facts up to 10 × 10 and quick derivation of corresponding division facts.

• Use simple fractions and percentages to describe approximate proportions of a whole.

Level descriptors

Back to Level 4 Programme of studyKey terms and notation APPR & C

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Page 24: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 4: Algebra 3

• Solve simple linear equations (from level 5 e.g. x + 3 = 7)

Level descriptors

Back to Level 4 Programme of studyKey terms and notation APPR & C

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Page 25: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 4: S & S 4

• Make 3D mathematical models by linking given faces or edges.

Level descriptors

Back to Level 4 Programme of studyKey terms and notation APPR & C

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Page 26: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 4: Block 4: Handling Data 4

• Understand and use the median, mode and range to describe sets of data.

Level descriptors

Back to Level 4 Programme of studyKey terms and notation APPR & C

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Page 27: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 1: Number 1

• Factors, multiples and prime numbers

• Order, add and subtract negative numbers in context.

• Evaluate numerical expressions, with and without a calculator, involving the four rules and brackets

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 28: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 1: Algebra 1

• Collecting like terms

• Use brackets appropriately.

• Multiplying out single bracket by a simple term

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 29: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 1: S & S 1

• Draw lines correct to the nearest millimetre.

• Recognise reflection and rotation symmetry in 2D shapes.

• Rotations of simple shapes (90o clockwise or anticlockwise, 180o)

• Reflection in a diagonal line

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 30: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 1: Handling Data 1

• Construct, read information from, interpret and draw conclusions from dual bar charts

• Construct, read information from interpret and draw conclusions from line graphs

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Back to Outline

Page 31: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 2: Number 2

• Square numbers and square roots where the root is an integer

• Cube numbers and cube roots where the root is an integer

• Know square numbers up to 15.

• Know cubes of 1, 2, 3, 4, 5, 10

• Index notation for squares and cubes

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 32: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 2: Algebra 2

• Construct simple formulae involving one or two operations to describe a situation, and express them using symbols.

• Substitute positive integers into simple formulae involving one or two operations.

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 33: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 2: S & S 2

• Use language associated with angle, including right-angle and perpendicular

• Measure and draw angles to the nearest degree• Angles at a point and on a straight line• Vertically opposite angles.• Know and use the angle sum of a triangle• Properties of equilateral, isosceles, scalene, acute- and

obtuse-angled triangles.• Simple understanding of congruence• Interpret scales on a range of measuring instruments

and recognise the inaccuracy of measurements.Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 34: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 2: Handling Data 2

• Construct, read information from, interpret and draw conclusions from pie charts

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 35: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 3: Number 3

• Understanding of place value in decimals• Multiply and divide simple decimals by 10, 100 and

1000.• Multiply and divide whole numbers and decimals.• Use all four operations with decimals to two places.• Approximate to one or two decimal places.• Percentage means parts per 100• Mental problems based on 1% and 10%

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 36: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 3: Algebra 3

• Use and interpret coordinates in all four quadrants.

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 37: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 3: S & S 3

• Convert one metric unit to another.

• Understand and use the formula for the area of a rectangle.

• Area of simple triangles

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 38: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 3: Handling Data 3

• Understand and use the mean of discrete data.

• Calculate mean, median, mode and range from charts, diagrams, lists and tables of data

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 39: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 4: Number 4

• Equivalent fractions in simple cases• Cancelling fractions in simple cases• Convert between top-heavy fractions and mixed

numbers in simple cases• Calculate fractional or percentage parts of

quantities and measurements, using a calculator where appropriate.

• Solve simple problems involving ratio and direct proportion.

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 40: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 4: Algebra 4

• Formulate and solve simple linear equations (unknown appears only once).

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 41: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 4: S & S 4

• Make sensible estimates of a range of measures in relation to everyday situations.

• Use and interpret maps and scale drawings.

• Approximate Imperial conversions (5 miles 1 kilometre, 4.5 litres 1 gallon, 2.2 pounds 1 kilogram and 1 inch 2.5 centimetres)

Level descriptors

Back to Level 5 Programme of studyKey terms and notation APPR & C

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Page 42: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 5: Block 4: Handling Data 4

• Vocabulary of probability: impossible, very unlikely, unlikely, evens, likely, very likely, certain.

• Understand and use the probability scale from 0 to 1.

• Theoretical probabilities as fractions.• Estimates of probability based on experimental

evidence.• Understand that different outcomes may – and

usually will – result from repeating an experiment.

Level descriptors

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Project

Page 43: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 6: Block 1: Number 1

• Common factors, HCF and LCM• Decomposition of positive integers into product

of prime factors• Understand and use BODMAS to evaluate

numerical expressions, with/without calculator• Square roots of non-square numbers and cube

roots of non-cube numbers• Index notation• Knowledge of powers of ten (e.g. 1 million = 106)

Level descriptors

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Page 44: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 6: Block 1: Algebra 1

• Understand the words equation, expression, formula and term

• Substitute positive integers into formulae involving several operations.

• Multiply single bracket by a more complex term• Factorising (single bracket with simple common

factor, such as 3(2a – b) and x(3x + 5))• Formulate and solve linear equations (no

brackets) with integer coefficients.• Solve linear equations involving brackets

Level descriptors

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Page 45: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 6: Block 1: S & S 1

• Vocabulary: alternate, corresponding, interior and exterior angles.

• Regular polygons: interior and exterior angles, and angle at centre.

• Know and use the angle properties of intersecting and parallel lines, and explain them

• Understand and use bearingsLevel descriptors

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Page 46: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 6: Block 1: Handling Data 1

• Construct, read information from, interpret and draw conclusions from stem-and-leaf tables

• Understand the terms “primary data” (data collected by the user) and “secondary data” (data already collected by someone else)

• Types of data: qualitative, discrete, continuous• Extract data from printed tables and lists.• Design and use two-way tables for grouped and

ungrouped data.Level descriptors

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Page 47: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 6: Block 2: Number 2

• Order and approximate decimals.• Multiply and divide any decimal by 10, 100

or 1000.• Approximate to 1 d.p., 2 d.p. or 3 d.p., or

to 1 s.f.• Equivalent fractions• Cancelling fractions• Convert between top-heavy fractions and

mixed numbersLevel descriptors

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Page 48: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 6: Block 2: Algebra 2

• Term-to-term rule for a linear sequence, described in words.

• Position-to-term rule for a linear sequence – expression for the nth term.

• Generate terms of a linear sequence using term-to-term and position-to-term definitions of the sequence.

• Construct formulae involving several operations to describe a situation.

Level descriptors

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Page 49: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Level 6: Block 2: S & S 2

• Know and use the angle and symmetry properties of quadrilaterals (square, rectangle, parallelogram, rhombus, kite, trapezium).

• Know and use the angle and symmetry properties of polygons, including the sums of interior and exterior angles.

• Justify simple geometrical properties (e.g. exterior angle of a triangle = sum of interior angles at the other two vertices)

Level descriptors

Back to Level 6 Programme of studyKey terms and notation APPR & C

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Level 6: Block 2: Handling Data 2

• Construct, read information from, interpret and draw conclusions from scatter graphs

• Recognise types of correlation – weak strong, positive, negative, no correlation

• Identify rogue values from a scatter graph

• Find patterns in data and spot exceptions.

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Level 6: Block 3: Number 3

• Order fractions by writing them with a common denominator.

• Add and subtract fractions by writing them with a common denominator.

• Evaluate one number as a fraction or percentage of another.

• Understand and use the equivalences between fractions, decimals and percentages

• Recognise that terminating decimals are fractions, and change any terminating decimal (with up to 3 places of decimals) into a fraction in its simplest form

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Level 6: Block 3: Algebra 3

• Solve inequalities in a single variable

• Solution set on number line (using open and closed circles)

• Solve equations using trial and improvement.

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Level 6: Block 3: S & S 3

• Circle vocabulary: centre, radius, diameter, arc sector, segment, tangent.

• Understand and use appropriate formulae for finding circumferences and areas of circles, areas of plane rectilinear figures and volumes of cuboids.

• Understand the idea of ‘similarity’

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Level 6: Block 3: Handling Data 3

• Construct pie charts.• Collect and record continuous data, choosing

appropriate equal class intervals.• Create frequency tables for grouped continuous

data.• Construct and interpret frequency diagrams.• Construct, read information from interpret and

draw conclusions from frequency polygons

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Level 6: Block 4: Number 4

• Compare proportions using percentages

• Divide a quantity in a given ratio

• Reduce ratio to simplest form

• Relationship between ratios and fractions

• Use of unitary method in simple cases

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Level 6: Block 4: Algebra 4

• Use Cartesian coordinates for graphical representation, interpreting general features.

• Plot points in all four quadrants using geometric information

• Plot a straight line graph, given the equation (in the form y = mx + c)

• Recognise the equation of a straight line• Construct linear functions from real-life problems

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Level 6: Block 4: S & S 4

• Recognise and use common 2D representations of 3D objects.

• Enlargements by a positive integer scale factor• The three main isometries: translation by a

vector, reflection in a line and rotation about a point.

• Distinguish properties which are preserved by a given transformation

• Construct simple loci based on distances from fixed points and lines, and inequalities based on these (at most two constraints).

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Level 6: Block 4: Handling Data 4

• List all outcomes for single events, and for two successive events, in a systematic way, and derive related probabilities.

• Identify different mutually exclusive outcomes and use the fact that the sum of the probabilities of all these outcomes is 1. (The term “mutually exclusive” need not be known by the students.)

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Level 7: Block 1: Number 1• Estimates to multiplication and division problems using numbers

rounded to 1 s.f.• Understand the effects of multiplying and dividing by numbers

between 0 and 1.• Solve problems involving direct proportion using the unitary or

multiplier method• Solve numerical problems involving multiplication and division with

numbers of any size.• Use calculator efficiently and appropriately, knowing not to round off

during a calculation.• Approximate answers to 1 s.f., 2 s.f. or 3 s.f.• Appreciate the imprecision of measurement and recognise that a

measurement given to the nearest whole number may be inaccurate by up to one half in either direction.

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Level 7: Block 1: Algebra 1

• Term-to-term rule for a quadratic sequence.

• Position-to-term rule for a quadratic sequence

• Generate terms of a non-linear sequence using term-to-term and position-to-term definitions of the sequence.

• Use of algebra to support and construct arguments

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Level 7: Block 1: S & S 1

• Understand and apply Pythagoras’ theorem in two dimensions.

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Level 7: Block 1: Handling Data 1

• Specify hypotheses and test them by designing and using appropriate methods that take account of variability or bias.

• Identify possible sources of bias

• Draw line of best fit ‘by eye’, and understand what it represents

• Understand that using a line of best fit outside the plotted range may not be valid.

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Level 7: Block 2: Number 2

• Multiply and divide fractions

• Calculations with fractions using a calculator

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Level 7: Block 2: Algebra 2

• Simultaneous linear equations – algebraic method.

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Level 7: Block 2: S & S 2

• Calculate lengths, areas and volumes in plane shapes and right prisms, including cylinders.

• Areas and perimeters of compound shapes, including those involving circles and semi-circles

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Level 7: Block 2: Handling Data 2

• Determine the modal class and estimate the mean, median and range of sets of grouped data.

• Select the statistic most appropriate to their line of enquiry.

• Use measures of average and range, with associated frequency polygons, as appropriate, to compare distributions and make inferences.

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Level 7: Block 3: Number 3

• Understand and use proportional changes.

• Calculate the result of any proportional change using only multiplicative methods.

• Compound interest.

• Understand and use compound measures, such as speed.

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Level 7: Block 3: Algebra 3

• Multiply out and simplify expressions of the form (x ± a)(x ± b)

• Factorising (single bracket with compound common factor, for example 3x²(x – 4t))

• Change the subject of a formula (at most two operations)

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Level 7: Block 3: S & S 3

• Determine the locus of an object moving according to a rule.

• Straight edge and compass constructions: perpendicular bisector, angle bisector

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Level 7: Block 3: Handling Data 3

• Understand relative frequency as an estimate of probability and use this to compare outcomes of experiments.

• Compare experimental data and theoretical probabilities

• Knowledge that the more trials that are carried out, the better the reliability of the results.

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Level 7: Block 4: Number 4

• Rules of indices for integer powers

• Negative square roots

• Recognise that recurring decimals are fractions, and that some fractions are recurring decimals

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Level 7: Block 4: Algebra 4

• Plotting linear graphs expressed in the form ax + by = c

• Simultaneous linear equations – graphical method.

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Level 7: Block 4: S & S 4

• Enlarge shapes by a fractional scale factor, and appreciate the similarity of the resulting shapes.

• Understand the effect of enlargement on perimeter, area and volume

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Level 7: Block 4: Algebra 5

• Distance-time graphs

• Discuss plot and interpret other graphs (including non-linear graphs) which model real-life situations, including statistical ones

• Plot simple quadratic graphs and use these to find approximate solutions (x given y and y given x)

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Level 7: Block 1: Number 1

• Solve problems that involve calculating with powers and roots.

• Calculate with numbers expressed in standard form.

• Approximate to any number of significant figures or decimal places

• Standard form – interpret and order• Calculate with and solve problems involving

numbers expressed in standard form.Level descriptors

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Level 8: Block 1: Algebra 1

• Evaluate algebraic formulae, substituting fractions, decimals and negative numbers.

• Calculate one variable, given the others, in an algebraic formula involving fractions, decimals and negative numbers.

• Solve linear equations with fractional coefficients

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Level 8: Block 1: S & S 1

• Understand and use mathematical similarity.

• Introduction to trigonometry – calculating sides in right-angled triangles

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Level 8: Block 1: Handling Data 1

• Construct, read information from interpret and draw conclusions from cumulative frequency diagrams

• Calculate quartiles and interquartile range from charts, diagrams, lists and tables of data

• Estimate the median and interquartile range and use these to compare distributions and make inferences.

• Construct, read information from interpret and draw conclusions from box plots

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Level 8: Block 2: Number 2

• Solve problems involving repeated percentage or fractional changes.

• Calculate the original quantity given the result of a percentage or fractional change.

• Compound interest using multiplier method

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Level 8: Block 2: Algebra 2

• Manipulate algebraic formulae, equations and expressions.

• Multiply out expressions of the form (ax ± c)(cx ± d)

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Level 8: Block 2: S & S 2

• Understand and use congruence.

• Understand and use conditions for congruent triangles.

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Level 8: Block 2: Handling Data 2

• Construct, read information from interpret and draw conclusions from relative frequency diagrams.

• The addition law for the probability of either of two mutually exclusive events.

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Level 8: Block 3: Algebra 3

• Factorise quadratic expressions of the form ax² + bx + c, where a = 1, including the difference of two squares

• Solve quadratic equations of the form ax² + bx + c = 0, where a = 1, by factorising

• Understand the word “identity”, and recognise and use the identity symbol

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Level 8: Block 3: S & S 3

• Use trigonometry to solve problems in right-angled triangles.

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Level 8: Block 3: Handling Data 3

• The multiplication law for the probability of two independent events.

• Use tree diagrams to represent outcomes of compound events, recognising when events are independent.

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Level 8: Block 3: Algebra 4

• Change the subject of a formula which includes powers and roots

• Use co-ordinates in 3D

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Level 8: Block 4: Algebra 5

• Plot straight line graph using gradient-intercept method

• Understand that the form y = mx + c represents a straight line and that m is the gradient of the line and c is the value of the y-intercept.

• Understand the gradients of parallel lines.

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Level 8: Block 4: S & S 4

• Straight edge and compass constructions: perpendicular from a point to a line, perpendicular at a point on a line and an angle of 60º

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Level 8: Block 4: Algebra 6

• Draw and interpret graphs of quadratic, cubic and reciprocal functions

• Sketch graphs of linear, quadratic, cubic and reciprocal functions, recognising their general features.

• Sketch graphs that model real situations.• Construct quadratic and other functions

from real-life problems and plot their corresponding graphs.

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Level 8: Block 4: Handling Data 4

• Compare distributions and make inferences, including use of average and inter-quartile range

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Grade A/A*: Block 1: Number 1

• Understand and use rational and irrational numbers.

• Simplification of surds

• Calculations with and manipulation of surds

• Rationalising a denominatorv

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Grade A/A*: Block 1: Algebra 1

• Factorise quadratics where a > 1, including the difference of two squares

• Solve quadratic equations by factorising where a > 1

• Solve quadratic equations by completing the square

• Solve quadratic equations by using the formula

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Grade A/A*: Block 1: S & S 1

• Sine and cosine rules

• Area of triangle = ½ab sin C

• Use trigonometry and Pythagoras’s theorem to solve problems in three dimensions.

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Grade A/A*: Block 1: Handling Data 1

• Construct, read information from, interpret and draw conclusions from histograms with unequal class intervals

• Sophisticated and rigorous interpretations of data

• Statistical functions on a calculator

• Analyse significance of findings

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Grade A/A*: Block 2: Number 2

• Appreciate the continuous nature of scales that are used to make measurements.

• Determine the bounds of intervals.

• Calculate and use upper and lower bounds

• Bounds of results of calculations

• Exponential growth

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Grade A/A*: Block 2: Algebra 2

• Solve problems using intersections and gradients of graphs.

• Understand the gradients of perpendicular lines.• Find the intersection points of the graphs of a

linear and quadratic function, knowing that these are the approximate solutions of the corresponding simultaneous equations

• Solve simultaneous equations in two variables where one equation is linear and the other is quadratic (y = ax2 + bx + c).

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Grade A/A*: Block 2: S & S 2

• Sketch the graphs of sine, cosine and tangent functions for any angle.

• Generate and interpret graphs based on sine, cosine and tangent functions.

• Use sine, cosine and tangent of angles of any size.

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Grade A/A*: Block 2: Handling Data 2

• Understanding of place value in integers.

• Multiply and divide whole numbers by 10 or 100.

• Approximate to nearest 10, 100, 1000.

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Page 99: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade A/A*: Block 3: Algebra 3

• Simplify algebraic fractions

• Four rules of algebraic fractions

• Equations with fractions leading to quadratic equations

• Change the subject when new subject appears twice

• Use algebra to prove generalisations

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Page 100: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade A/A*: Block 3: S & S 3

• Calculate lengths of circular arcs and areas of sectors, and calculate the surface area of cylinders and volumes of cones and spheres.

• Use of p in exact calculations• Area/perimeter of complex compound shapes,

e.g. including circular arcs• Solve problems including more complex shapes

and solids, including compound shapes and frustums.

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Page 101: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade A/A*: Block 3: Handling Data 3

• Recognise when and how to work with probabilities associated with independent, mutually exclusive events.

• Conditional probability

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Page 102: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade A/A*: Block 3: Algebra 4

• Use rules of indices for negative and fractional values.• Understand and use direct and inverse proportion.• Find formulae that approximately connect data.• Graphical representation of inequality in two variables

(using dashed lines to represent strict inequalities and solid lines to represent non-strict inequalities)

• Approximate solution of a quadratic equation by drawing a straight line to intersect with another (given) quadratic.

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Page 103: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade A/A*: Block 4: S & S 4

• Circle theorems: cyclic quadrilaterals, angle at centre, angle in semi-circle, angles in same segment, alternate segment

• Construct formal geometric proofs (including use of congruent triangles and circle theorems).

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Page 104: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade A/A*: Block 4: Algebra 5

• Transformation of curves

• Graphs of simple loci

• Knowledge of equation of a circle of radius r, centre (0,0)

• Graphs of the exponential function y = kx for integer values of x and simple positive values of k

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Page 105: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade A/A*: Block 4: S & S 5

• Enlarge by a negative scale factor

• Use the effect of enlargement on perimeter, area and volume in calculations

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Page 106: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

Grade A/A*: Block 4: S & S 6

• Understand and use vector notation; calculate, and represent graphically the sum of two vectors, the difference of two vectors and a scalar multiple of a vector; calculate the resultant of two vectors; understand and use the commutative and associative properties of vector addition; solve simple geometrical problems in 2D using vector methods.

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Page 107: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.
Page 108: Outline of Progression SetKS2 Result Year 7Year 8Year 9Year 10Year 11 15678A/A* 24b-5c678A/A* 34567B 43456C 52-3456C.

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