Transcript file

KEY

Methods 1

Applications 1

Methods 2

Applications 2

AQA GCSE Linked Pair Pilot Route Map – Higher Tier (Year 10) Year 10 Wk1 Wk11 Wk31

Basic Algebra

NOVEMBER

Algebraic Argument

JANUARY Wk21 SEPTEMBER Wk2 Wk3 Wk12

Ratio and Proportion

Wk22

Equations, Formulae and Inequalities

Indices and Powers

Wk32 APRIL Wk13 Wk23

Ratio and Proportion

Collecting Data

Wk33 Wk4

Basic Algebra

Wk14 FEBRUARY Wk24 Holiday Wk34 Wk5

Number

DECEMBER Wk15

Coordinates and Graphs

Wk6 Wk16 Holiday OCTOBER Wk7

Number

Wk17 Holiday Wk25

Representing Data

Wk35 Wk26 Wk36 MAY Wk27 March Examinations

Statistical Measures

Wk37 Wk8 Holiday

Wk9

Fractions , Decimals and Percentages

NOVEMBER Wk10 November Examinations

Fractions, Decimals and Percentages

JANUARY Wk20 Wk18 Wk19 January Examinations

Equations, Graphs and Formulae

MARCH

Linear Programming

Wk28 Wk29 Wk30

Advanced Graphs

Wk38 Wk39

JUNE

Scatter Graphs

Wk40 Holiday Holiday

Limits

Finance

Probability

Holiday

Probability

Wk41 June Examinations JUNE Wk42 June Examinations

Revision

Wk43

Number

JULY Wk44 Wk45

Multiples, Factors and Primes

Year 11

AQA GCSE Linked Pair Pilot Route Map – Higher Tier (Year 11) Year 11 Wk1 SEPTEMBER Wk2 Wk3 Wk4 Wk5 Wk6 OCTOBER Wk7 Wk8

Venn Diagrams

Algebraic Manipulation

Angles

Equations

Coordi nates

Transformations and Vectors

Holiday Wk11 NOVEMBER Wk12 Wk13 Wk14 DECEMBER Wk15

Polygons and Circles

JANUARY

Shapes

Wk21 Wk22

Perimeter, Area and Volume

Wk23

Pythagoras and Trigonometry

FEBRUARY Wk24 Wk25

Trial and Improvement

Wk31

Measures

Wk32 APRIL Holiday Wk33

Percentage, Ratio and Proportion

Wk34

Angles

Equations

Wk35 Wk16 Wk17 Wk18 Holiday Holiday

Circle Theorems and Proof

MARCH Wk26 Wk36 Wk27 Wk28

Coordinates and Graphs

MAY March Examinations

Linear and Real Life Graphs

Wk37 Wk38 Holiday Wk41 JUNE

Pythagoras and Trigonometry

Wk42 Wk43

Bearings

JULY Wk44

Transformations

Wk45

Perimeter, Area and Volume

Loci and Construction

Holiday June Examinations June Examinations Wk9

Similarity

NOVEMBER Wk10 November Examinations

Sequences

JANUARY Wk19 January Examinations Wk20

Number

Approximation and Calculators

Wk29 Wk30

Polygons and Circles

Shapes

Holiday JUNE Wk39 Wk40

Revision

Year 10

Unit M1 – Basic Algebra (Slide 1 of 2)

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Teachers own notes Specification reference:

Distinguish the different roles played by letter symbols in algebra, using the correct notation.

Distinguish in meaning between the words equation, inequality, formula and expression.

The meaning of identity and knowledge of the identity symbol will also be expected.

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Unit M1 – Basic Algebra (Slide 2 of 2) Specification reference:

Manipulate algebraic expressions by collecting like terms, by multiplying a single term over a bracket, taking out common factors.

Multiplying two linear expressions, factorising quadratic expressions including the difference of two squares, and simplifying rational expressions.

 This includes (

x

±

a

) (

x

±

b

) and (

cx

±

a

) (

dx

±

b

) at Higher tier.

Candidates should be able to cancel rational expressions and apply the four rules to algebraic fractions.

M2 (A2), A1 (A1)

Teachers own notes

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Unit M1 – Indices and Powers Specification reference:

Understand and use numbers and their representations including powers, roots, indices (integers).

Extend to fractional and negative indices, and use of standard index form.

Teachers own notes

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Unit A1 – Basic Algebra Specification reference:

Manipulate algebraic expressions by collecting like terms, by multiplying a single term over a bracket, and by taking out common factors.

Teachers own notes

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Unit M1 – Number (Slide 1 of 3)

Continued on next page

Specification reference:

Understand and use number operations and the relationships between them, including inverse operations and hierarchy of operations.

Teachers own notes

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Unit M1 – Number (Slide 2 of 3)

Continued on next page

Specification reference:

Understand and use arithmetic of real numbers: add, subtract, multiply and divide any number.

Understand and apply exact calculation with surds and π , as well as the simplification of surds including rationalising a denominator.

 Non-calculator arithmetic competency will be assessed in this unit.  Calculations will be restricted to 3 digit integers and decimals up to two decimal places.

 Multiplication will be limited to 3- digit integers by 2-digit integers.

 For non-calculator work multiplication and division of decimals will be limited to multiplying or dividing by a single digit integer or decimal number to 1 significant figure.

 Addition and subtraction of fractions without a calculator will be assessed.

Teachers own notes

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Unit M1 – Number (Slide 3 of 3) Specification reference:

Approximate to appropriate degrees of accuracy.

Use the concepts and vocabulary of factor (divisor), multiple and prime numbers.

 The explicit testing of these terms will be in M2.

Use calculators effectively and efficiently.

 Candidates should know not to round off values during the intermediate steps of a calculation.

Teachers own notes

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Unit A1 – Number Specification reference:

Understand and use number operations and the relationships between them, including inverse operations and hierarchy of operations.

Teachers own notes

Numbers and their representations including powers, roots, indices (integer values).

Extend to fractional and negative indices, and use of standard index form.

Use calculators effectively and efficiently, including statistical functions.

 Candidates should know not to round off values during the intermediate steps of a calculation.

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Unit M1 – Fractions, Decimals and Percentages Specification reference:

Understand that 'percentage' means 'number of parts per 100' and use this to compare proportions.

Teachers own notes

Use multipliers for percentage change.

Work with repeated percentage change; solve reverse percentage problems.

Interpret fractions, decimals and percentages as operators.

 In non-calculator questions, candidates should be able to calculate 1% and 10% of quantities as a starting point and use ‘build-up’ methods

.

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Unit A1 – Fractions, Decimals and Percentages Specification reference:

Understand that 'percentage' means 'number of parts per 100' and use this to compare proportions.

Teachers own notes

Use multipliers for percentage change.

Work with repeated percentage change; solve reverse percentage problems.

 Calculations with percentages in financial and other realistic contexts will feature in this unit 

Interpret fractions, decimals and percentages as operators.

 Candidates should be able to use a calculator to apply the four rules to fractions and decimals in problems.

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Unit M1 – Algebraic Argument Specification reference:

Use algebra to support and construct arguments.

Use algebra to construct simple proofs.

Teachers own notes

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Unit M1 – Ratio and Proportion Specification reference:

Understand and use the relationship between ratio, fractions and decimal representations.

Including recurring and terminating decimals.

 Including reduction of a ratio to its simplest form.

Understand and use direct proportion.

Extend to include inverse proportion.

Divide a quantity in a given ratio.

Teachers own notes

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Unit A1 – Ratio and Proportion Specification reference:

Understand and use direct proportion.

Extend to include inverse proportion.

Divide a quantity in a given ratio.

Teachers own notes

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Unit M1 – Coordinates and Graphs Specification reference:

Use the conventions for coordinates in the plane and plot points in all four quadrants.

3D coordinate systems.

Recognise and plot equations that correspond to straight-line graphs in the coordinate plane.

Teachers own notes

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Unit M1 – Equations, Graphs and Formulae (Slide 1 of 2)

Continued on next page

Teachers own notes Specification reference:

Set up, and solve simple equations and inequalities.

Set up and use equations that describe direct and inverse proportion.

 Candidates would be expected to set up an equation using a constant of proportionality.

Set up, and solve simultaneous equations in two unknowns where one of the equations might include squared terms in one or both unknowns.

Solve quadratic equations approximately using a graph.

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Unit M1 – Equations, Graphs and Formulae (Slide 2 of 2) Specification reference:

Derive a formula, substitute numbers into a formula and change the subject of a formula.

 At Foundation tier formulae to be rearranged will need at most two operations. Formulae where a power appears will not be tested at Foundation tier.

 In Higher tier questions the subject may appear twice.

Teachers own notes

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Unit A1 – Linear Programming Specification reference:

Set up and solve problems in linear programming, finding optimal solutions.

Teachers own notes

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Unit A1 – Equations, Formulae and Inequalities

(Slide 1 of 3) Teachers own notes Specification reference:

Set up, and solve simple equations and inequalities.

Derive a formula, substitute numbers into a formula.

Continued on next page

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Unit A1 – Equations, Formulae and Inequalities

(Slide 2 of 3)

Continued on next page

Specification reference:

Solve linear inequalities in one variable, and represent the solution set on a number line.

Solve linear inequalities in two variables, and represent the solution set on a suitable diagram.

Candidates should know and use the symbols <, >, ≤ and ≥.

Candidates should know the convention of an open circle on a number line for a strict inequality and a closed circle for an included boundary.

Higher tier candidates should identify regions on a 2D coordinate grid. The convention of a dashed line for strict inequalities and a solid line for an included inequality need not be known.

Teachers own notes

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Unit A1 – Equations, Formulae and Inequalities (Slide 3 of 3) Specification reference:

Set up and solve linear simultaneous equations in two unknowns.

Teachers own notes

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Unit A1 – Collecting Data (Slide 1 of 2)

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Specification reference:

Understand and use the statistical problem solving process/handling data cycle which involves

o

specifying the problem and planning

o

collecting data

o

processing and presenting the data

o

interpreting and discussing the results.

 Including knowing and using the term “hypothesis” for a general prediction which is to be tested. Higher tier candidates will be expected to choose suitable sampling methods, discuss bias, provide sophisticated and rigorous interpretations of their data and provide an analysis of how significant their findings are.

Teachers own notes

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Unit A1 – Collecting Data (Slide 2 of 2) Specification reference:

Design an experiment or survey, identifying possible sources of bias.

 An understanding of the terms “primary data” and “secondary data” is expected.

Design data-collection sheets distinguishing between different types of data.

 Includes observation, controlled experiment, data logging questionnaires and surveys.

Extract data from publications, charts, tables and lists.

Teachers own notes

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Unit A1 – Representing Data (Slide 1 of 3) Specification reference:

Design, use and interpret two-way tables for discrete and grouped data.

Look at data to find patterns and exceptions.

 For example identifying a “rogue” value from a scatter diagram.

Compare distributions and make inferences.

 Comparisons of average and range at tier F, and average and inter-quartile range at tier H.

Produce and interpret charts and diagrams for categorical data including bar charts, multiple bar charts, pie charts and pictograms.

Teachers own notes

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Unit A1 – Representing Data (Slide 2 of 3)

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Specification reference:

Produce and interpret diagrams for grouped and ungrouped numerical data, including tally charts, vertical line graphs, stem-and-leaf diagrams, frequency polygons and histograms with equal class intervals.

Produce and interpret diagrams for grouped discrete data and continuous data, including histograms with unequal class intervals.

 Candidates should be able to read information from and interpret these charts and diagrams.

Produce and use cumulative frequency graphs and box-and-whisker plots.

Teachers own notes

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Unit A1 – Representing Data (Slide 3 of 3) Specification reference:

Work with time series including their graphical representation.

Work with moving averages including their graphical representation.

 Candidates will be expected to comment on and use the trends shown by the moving average, and use it to predict further values.

Teachers own notes

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Unit A1 – Statistical Measures Specification reference:

Calculate, median, mean, range, mode and modal class.

For grouped data, estimate quartiles and inter quartile range.

 From charts, diagrams, lists and tables of data, including median and range from a stem-and-leaf diagram.

Discuss and start to estimate risk.

Teachers own notes

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Unit M1 – Advanced Graphs (Slide 1 of 2)

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Specification reference:

Use

y = m

x +

c

and understand the relationship between gradients of parallel and perpendicular lines.

 Candidates will be expected to obtain the equation of a line perpendicular to a known line.

Teachers own notes

Draw, sketch, recognise graphs of linear, quadratic simple cubic functions, the reciprocal function

y =

with

x

0, the function

y = k

x

for integer values of

x

and simple positive values of

k

, the trigonometric functions

y

= sin

x

,

y

= cos

x

and y =

tan

x

.

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Unit M1 – Advanced Graphs (Slide 2 of 2) Specification reference:

Understand and use the Cartesian equation of a circle centred at the origin and link to the trigonometric functions.

Teachers own notes

Construct the graphs of simple loci.

Sketch simple transformations of a given function.

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Unit A1 – Scatter Graphs Specification reference:

Recognise correlation and draw and/or use lines of best fit by eye, understanding and interpreting what these represent, and appreciating that correlation does not imply causality.

 Candidates will be required to recognise when correlation is weak or strong, positive or negative, but will not be asked to comment on the reliability of the data. Candidates should understand that using a line of best fit outside the plotted range may not be reliable.

Teachers own notes

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Unit A1 – Limits Specification reference:

Approximate to appropriate degrees of accuracy.

Understand and use upper and lower bounds.

 Including maximum and minimum.

 Questions will be set in context and could be linked to statistical problems.

Teachers own notes

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Unit A1 – Finance (Slide 1 of 2)

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Specification reference:

Carry out calculations relating to enterprise, saving and borrowing, appreciation and depreciation.

Understand AER.

 Candidates should be familiar with common terms such as VAT, income tax and interest rates.

 Compound interest calculations will be required on higher tier.

Use mathematics in the context of personal and domestic finance including loan repayments, budgeting, RPI and CPI exchange rates and commissions.

Teachers own notes

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Unit A1 – Finance (Slide 2 of 2) Specification reference:

Use spreadsheets to model financial, statistical and other numerical situations.

 Including the use of a simple formula.

Construct and use flow charts.

 These may be set in financial or other contexts.

Teachers own notes

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Unit M1 – Probability (Slide 1 of 3) Specification reference:

Understand and use the vocabulary of probability and the probability scale.

 Words used will be ‘impossible’, ‘very unlikely’, ‘unlikely’, ‘evens’, ‘likely’, ‘very likely’ and ‘certain’.

Use Venn diagrams to represent the number of possibilities and hence find probabilities.

 Questions will involve knowledge and use of set notation, A, A’, A ∩ B, A U B.

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

Continued on next page

Teachers own notes

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Unit M1 – Probability (Slide 2 of 3)

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Specification reference:

Know when to add or multiply probabilities: if A and B are mutually exclusive, then the probability of A or B occurring is P(A) + P(B); if A and B are independent events, the probability of A and B occurring is P(A)× P(B).

 Includes conditional probability.

Teachers own notes

Compare experimental data and theoretical probabilities, and make informal inferences about the validity of the model giving rise to the theoretical probabilities.

 Knowledge of the term ‘relative frequency’ is expected.

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Unit M1 – Probability (Slide 3 of 3) Specification reference:

Understand that when a statistical experiment or survey is repeated there will usually be different outcomes, and that increasing sample size generally leads to better estimates of probability and population characteristics.

Teachers own notes

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Unit A1 – Probability (Slide 1 of 2)

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Specification reference:

Understand and use the vocabulary of probability and the probability scale.

 In this unit, probability questions will be about applying probability theory to statistical problems.

Understand and use theoretical models for probabilities including the model of equally likely outcomes.

Understand and use estimates of probability from relative frequency.

Teachers own notes

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Unit A1 – Probability (Slide 2 of 2) Specification reference:

Understand that when a statistical experiment or survey is repeated there will usually be different outcomes, and that increasing sample size generally leads to better estimates of probability and population characteristics.

Teachers own notes

Return to Routemap

Return to previous page

Unit M2 – Number (Slide 1 of 3)

Continued on next page

Specification reference:

Understand and use number operations and the relationships between them, including inverse operations and hierarchy of operations.

Arithmetic of real numbers.

Including exact calculation with surds and π

 Answers may be required in these forms.

Teachers own notes

Numbers and their representations including powers, roots, indices (integers).

Return to Routemap

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Unit M2 – Number (Slide 2 of 3)

Continued on next page

Specification reference:

Approximate to specified degrees of accuracy including a given power of ten, number of decimal places and significant figures.

 Nearest ten, hundred or thousand at Foundation tier.

Teachers own notes

Understand that 'percentage' means 'number of parts per 100' and use this to compare proportions.

Understand and use the relationship between ratio and fractions.

Return to Routemap

View previous page

View next page

Unit M2 – Number (Slide 3 of 3) Specification reference:

Find proportional change, using fractions, decimals and percentages.

 Including repeated proportional change.

Use calculators effectively and efficiently.

Including trigonometric functions.

 Candidates should know not to round off values during the intermediate steps of a calculation.

Teachers own notes

Return to Routemap

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Unit M2 – Multiples, Factors and Primes Specification reference:

Use the concepts and vocabulary of factor (divisor), multiple, common factor, common multiple, highest common factor, least common multiple, prime number and prime factor decomposition.

Understand that factors of a number can be derived from its prime factorisation.

Teachers own notes

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Unit M2 – Venn Diagrams Specification reference:

Understand and use Venn diagrams to solve problems.

 Simple numerical problems where the use of a Venn diagram aids the solution.

 Set notation will not be assessed in this unit

Teachers own notes

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Unit M2 – Algebraic Manipulation Specification reference:

Distinguish the different roles played by letter symbols in algebra, using the correct notation.

Manipulate algebraic expressions by collecting like terms, by multiplying a single term over a bracket, taking out common factors.

Multiplying two linear expressions, factorising quadratic expressions including the difference of two squares, and simplifying rational expressions.

Teachers own notes

Return to Routemap

Unit M2 – Angles Specification reference:

Recall and use properties of angles at a point, angles at a point on a straight line (including right angles), perpendicular lines, and vertically opposite angles.

Teachers own notes

Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals.

 Candidates should know the meaning and properties of ‘alternate’, ‘corresponding’, ‘interior’ and ‘vertically opposite’ angles. Colloquial terms such as ‘Z angles’ should not be used.

 Candidates should know the names and properties of isosceles, equilateral, right-angled and scalene triangles.

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Unit M2 – Equations Specification reference:

Set up, and solve simple equations.

Solve quadratic equations exactly by factorising, completing the square and using the formula.

Recognise and use equivalence in numerical, algebraic and graphical representations.

 Candidates should be able to move from one form of representation to another to get different perspectives on the problem.

Teachers own notes

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Unit M2 – Coordinates Specification reference:

Use the conventions for coordinates in the plane and plot points in all four quadrants.

Use geometric information to complete diagrams on a co-ordinate grid.

Teachers own notes

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Unit M2 – Transformations and Vectors (Slide 1 of 2)

Continued on next page

Specification reference:

Describe and transform 2D shapes using single or combined rotations, reflections, translations, or enlargements by a positive scale factor and distinguish properties that are preserved under particular transformations.

Enlargements by positive fractional and negative scale factors.

Use 2D vectors to describe translations.

Teachers own notes

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Unit M2 – Transformations and Vectors (Slide 2 of 2) Specification reference:

Use vectors to solve simple geometric problems and construct geometric arguments.

 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.

Teachers own notes

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Unit M2 – Similarity Specification reference:

Understand congruence and similarity, including the relationship between lengths, in similar figures.

Including the relationship between areas and volumes of similar shapes.

Teachers own notes

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Unit M2 – Sequences Specification reference:

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

 Form linear expressions to describe the

n

th term of a sequence.

 Form quadratic expressions to describe the

n

th term of a sequence.

Teachers own notes

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Unit M2 – Polygons and Circles (Slide 1 of 2)

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Specification reference:

Calculate and use the sums of the interior and exterior angles of polygons.

 Candidates should be able to calculate the values of the interior angle, exterior angle and angle at the centre of regular polygons. At Foundation tier these will be restricted to triangle, square, pentagon, hexagon, octagon, nonagon and decagon.

Teachers own notes

Solve problems in the context of tiling patterns and tessellation.

 Candidates will be required to know that the sum of the angles at a point is 360º

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Unit M2 – Polygons and Circles (Slide 2 of 2) Specification reference:

Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment.

Teachers own notes

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Unit M2 – Shapes Specification reference:

Recall the properties and definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium, kite and rhombus.

Recognise reflection and rotation symmetry of 2D shapes.

Teachers own notes

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Unit M2 – Perimeter, Area and Volume Specification reference:

Calculate perimeters and areas of shapes made from triangles and rectangles.

Extend to other compound shapes.

 e.g. shapes made from circles or part circles with other known shapes.

Teachers own notes

Calculate volumes of right prisms and of shapes made from cubes and cuboids.

 Including cylinders.

Solve mensuration problems involving more complex shapes and solids.

 Including cones and spheres.

 Including compound shapes and frustums.

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Unit M2 – Pythagoras and Trigonometry Specification reference:

Use Pythagoras’ theorem in 2D.

Extend to 3D.

Use the trigonometric ratios to solve 2D and 3D problems.

Use the sine and cosine rules to solve problems in 2D and 3D.

Calculate the area of a triangle using

ab

sin

C .

Teachers own notes

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Unit M2 – Circle Theorems and Proof (Slide 1 of 2)

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Specification reference:

Understand, prove and use circle theorems and the intersecting chords theorem.

 Includes cyclic quadrilaterals; angle at centre is twice angle at circumference; angle in a semi-circle is 90º; angles in the same segment are equal; opposite angles in cyclic quadrilateral sum to 180º; alternate segment theorem.

Teachers own notes

Understand and use the midpoint and the intercept theorems.

 The two forms of the midpoint theorem should be known.

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Unit M2 – Circle Theorems and Proof (Slide 2 of 2) Specification reference:

Understand and construct geometrical proofs using formal arguments, including proving the congruence, or non congruence of two triangles in all possible cases.

Teachers own notes

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Unit A2 – Number Candidates should be able to:

Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment.

Find circumferences of circles and areas enclosed by circles.

Teachers own notes

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Unit A2 – Approximation and Calculators Candidates should be able to:

Approximate to specified degrees of accuracy including a given power of ten, number of decimal places and significant figures.

 Nearest ten, hundred or thousand at Foundation tier.

Use calculators effectively and efficiently.

Including trigonometric functions.

 Candidates should know not to round off values during the intermediate steps of a calculation.

Teachers own notes

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Unit A2 – Trial and Improvement Candidates should be able to:

Find approximate solutions of equations using systematic trial and improvement.

Teachers own notes

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Unit A2 – Measures (Slide 1 of 2) Candidates should be able to:

Interpret scales on a range of measuring instruments and recognise the inaccuracy of measurements.

Convert measurements from one unit to another.

 Metric conversions should be known. Imperial to metric conversions will be limited to 5 miles ≈ 8 kilometres, 4.5 litres ≈ 1 gallon, 2.2 pounds ≈ 1 kilogram and 1 inch ≈ 2.5 centimetres.

Make sensible estimates of a range of measures.

Continued on next page

Teachers own notes

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Unit A2 – Measures (Slide 2 of 2) Candidates should be able to:

Understand and use compound measures in familiar and unfamiliar contexts.

 Including area, volume and speed at Foundation tier.

 Including density at Higher tier.

 Other measures will be defined in the question.

Teachers own notes

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Unit A2 – Percentage, Ratio and Proportion Candidates should be able to:

Understand that 'percentage' means 'number of parts per 100' and use this to compare proportions.

Find proportional change.

Repeated proportional change, exponential growth/decay, its relationship with repeated proportional change including financial and scientific applications.

Divide a quantity in a given ratio.

Teachers own notes

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Unit A2 – Equations Candidates should be able to:

Set up, and solve simple equations.

Teachers own notes

Return to Routemap

Unit A2 – Coordinates and Graphs Candidates should be able to:

Use the conventions for coordinates in the plane and plot points in all four quadrants.

Recognise and plot equations that correspond to straight-line graphs in the coordinate plane.

Find approximate solutions of equations using graphical methods.

Teachers own notes

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Unit A2 – Linear and Real Life Graphs (Slide 1 of 2)

Continued on next page

Teachers own notes Candidates should be able to:

Find and interpret gradients and intercepts of straight line graphs in practical contexts.

Construct linear functions from real-life problems and plot their corresponding graphs.

Extend to quadratic and other functions.

Interpret the gradient at a point on a curve as the rate of change.

Recognise and use graphs that illustrate direct proportion.

Extend to inverse proportion.

 Including distance-time graphs.

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Unit A2 – Linear and Real Life Graphs (Slide 2 of 2) Candidates should be able to:

Discuss, plot and interpret graphs (which may be non-linear) modelling real situations, including journeys / travel graphs.

Including periodic graphs.

Calculate areas under graphs consisting only of straight lines and interpret the result.

Extend to estimates of areas under curves.

Teachers own notes

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Unit A2 – Shapes Candidates should be able to:

Recall the properties and definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium, kite and rhombus.

Teachers own notes

Recognise reflection and rotation symmetry of 2D shapes.

Use 2D representations of 3D shapes.

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Unit A2 – Polygons and Circles Candidates should be able to:

Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment.

Teachers own notes

Find circumferences of circles and areas enclosed by circles.

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Unit A2 – Pythagoras’ Theorem and Trigonometry Candidates should be able to:

Use Pythagoras’ theorem in 2D.

Extend to 3D.

Use the trigonometric ratios to solve 2D and 3D problems.

 Sine and cosine rule will not be assessed in this unit.

Teachers own notes

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Unit A2 – Angles Candidates should be able to:

Measure and draw lines and angles.

Recall and use properties of angles at a point, angles at a point on a straight line (including right angles), perpendicular lines, and vertically opposite angles.

Understand and use the angle properties of parallel and intersecting lines, triangles and quadrilaterals.

 Candidates should know the names and properties of isosceles, equilateral, right-angled and scalene triangles.

Teachers own notes

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Unit A2 – Bearings Candidates should be able to:

Understand and use bearings.

Teachers own notes

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Unit A2 – Transformations Candidates should be able to:

Understand congruence and similarity, including the relationship between lengths, in similar figures.

Including the relationship between areas and volumes of similar shapes.

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Unit A2 – Perimeter, Area and Volume Candidates should be able to:

Calculate perimeters and areas of shapes made from triangles and rectangles.

Extend to other compound shapes.

 e.g. shapes made from circles or part circles with other known shapes.

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Calculate volumes of right prisms and of shapes made from cubes and cuboids.

 Including cylinders.

Solve mensuration problems involving more complex shapes and solids.

 Including cones and spheres.

 Including compound shapes and frustums

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Unit A2 – Loci and Constructions Candidates should be able to:

Use and interpret maps and scale drawings.

Draw triangles and other 2D shapes using a ruler, pair of compasses and protractor.

Use straight edge and a pair of compasses to do constructions.

Construct loci.

Teachers own notes

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