Transcript file

KEY
Methods
1
Applications
1
Methods
2
Applications
2
AQA GCSE Linked Pair Pilot Route Map – Higher Tier (Year 10)
Year 10
OCTOBER
SEPTEMBER
Wk1
Wk2
Wk3
Basic
Algebra
Wk4
Indices and
Powers
Wk5
Basic
Algebra
NOVEMBER
Wk11
Algebraic
Argument
Wk6
Wk12
Ratio and
Proportion
Holiday
Wk22
Equations, Formulae and
Inequalities
Wk13
Wk14
Ratio and
Proportion
Wk15
Coordinates and
Graphs
Wk23
Collecting
Data
Wk24
Wk31
Wk32
Holiday
Wk16
Revision
Wk17
Holiday
Holiday
Wk18
Wk25
Wk26
Wk27
March
Examinations
Statistical
Measures
Representing Data
Wk34
Limits
Equations, Graphs and
Formulae
Wk28
Wk42
Wk43
Wk35
Finance
Number
Wk44
Wk20
Linear
Programming
Wk29
Wk36
Wk30
Scatter
Graphs
Advanced Graphs
JUNE
Wk37
Wk38
Holiday
Probability
Wk39
Wk40
Probability
JULY
June
Examinations
Fractions,
Decimals and
Percentages
Wk19
January
Examinations
MAY
Wk33
Wk10
November
Examinations
MARCH
Holiday
JUNE
Wk41
Wk9
Fractions ,
Decimals
and
Percentages
JANUARY
APRIL
June
Examinations
Number
Number
FEBRUARY
Wk21
Wk8
DECEMBER
JANUARY
Holiday
Wk7
NOVEMBER
Wk45
Multiples,
Factors and
Primes
Year 11
AQA GCSE Linked Pair Pilot Route Map – Higher Tier (Year 11)
Year 11
OCTOBER
SEPTEMBER
Wk1
Venn
Diagrams
Wk2
Wk3
Algebraic
Manipulation
Wk4
Wk5
Polygons
and
Circles
Wk12
Wk13
Perimeter,
Area and
Volume
Shapes
Wk14
Wk15
Pythagoras and Trigonometry
Wk22
Measures
Wk23
Holiday
Wk24
Percentage,
Ratio and
Proportion
Wk16
Wk32
Holiday
Holiday
Wk33
Pythagoras and
Trigonometry
Wk34
Wk25
Equations
Wk35
Angles
Bearings
Transformations
JULY
Wk42
June
Examinations
Year 10
Wk43
Wk44
Wk10
November
Examinations
Holiday
Sequences
Similarity
Wk18
Circle
Theorems
and Proof
Wk19
Wk20
January
Examinations
Approximation
and Calculators
Number
MARCH
Wk26
Wk27
Coordinates
and Graphs
MAY
JUNE
June
Examinations
Wk17
Holiday
APRIL
Wk31
Wk9
JANUARY
FEBRUARY
Wk21
Wk41
Transformations
and Vectors
Wk8
DECEMBER
JANUARY
Trial and
Improvement
Wk7
Coordinates
Equations
Angles
NOVEMBER
Wk11
Wk6
NOVEMBER
Wk45
Wk36
Perimeter,
Area and
Volume
Wk28
March
Examinations
Linear and Real Life
Graphs
Wk37
Loci and
Construction
Wk38
Wk29
Wk30
Polygons
and Circles
Shapes
Holiday
JUNE
Wk39
Wk40
Holiday
Revision
Unit M1 – Basic Algebra (Slide 1 of 2)
Specification reference:
Continued
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page
Teachers own notes
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:
Teachers own notes
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)
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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.
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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.
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Teachers own notes
Unit M1 – Number (Slide 1 of 3)
Specification reference:
Continued
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Teachers own notes
Understand and use number operations and the
relationships between them, including inverse
operations and hierarchy of operations.
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Unit M1 – Number (Slide 2 of 3)
Specification reference:
Continued
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Teachers own notes
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.
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Unit M1 – Number (Slide 3 of 3)
Specification reference:
Teachers own notes
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.
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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.
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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Teachers own notes
Unit M1 – Fractions, Decimals and Percentages
Specification reference:
Understand that 'percentage' means 'number of
parts per 100' and use this to compare
proportions.
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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Teachers own notes
Unit A1 – Fractions, Decimals and Percentages
Specification reference:
Understand that 'percentage' means 'number of
parts per 100' and use this to compare
proportions.
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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Teachers own notes
Unit M1 – Algebraic Argument
Specification reference:
Use algebra to support and construct
arguments.
Use algebra to construct simple proofs.
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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.
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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.
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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.
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Unit M1 – Equations, Graphs and Formulae
(Slide 1 of 2)
Specification reference:
Continued
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Teachers own notes
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:
Teachers own notes
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.
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Unit A1 – Linear Programming
Specification reference:
Set up and solve problems in linear
programming, finding optimal solutions.
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Unit A1 – Equations, Formulae and Inequalities
(Slide 1 of 3)
Specification reference:
Continued
on next
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Teachers own notes
Set up, and solve simple equations and
inequalities.
Derive a formula, substitute numbers into a
formula.
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page
Continued
on next
page
Unit A1 – Equations, Formulae and Inequalities
(Slide 2 of 3)
Specification reference:
Teachers own notes
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.
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Unit A1 – Equations, Formulae and Inequalities (Slide 3 of 3)
Specification reference:
Teachers own notes
Set up and solve linear simultaneous equations
in two unknowns.
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Unit A1 – Collecting Data (Slide 1 of 2)
Specification reference:
Continued
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Teachers own notes
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.
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Unit A1 – Collecting Data (Slide 2 of 2)
Specification reference:
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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.
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Unit A1 – Representing Data (Slide 1 of 3)
Specification reference:
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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.
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Unit A1 – Representing Data (Slide 2 of 3)
Specification reference:
Teachers own notes
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.
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Unit A1 – Representing Data (Slide 3 of 3)
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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.
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Unit A1 – Statistical Measures
Specification reference:
Calculate, median, mean, range, mode and
modal class.
For grouped data, estimate quartiles and interquartile 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.
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Unit M1 – Advanced Graphs (Slide 1 of 2)
Specification reference:
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Teachers own notes
Use y = mx + 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.
Draw, sketch, recognise graphs of linear, quadratic
simple cubic functions, the reciprocal function
y = with x
0,
the function y = kx 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:
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Understand and use the Cartesian equation of a
circle centred at the origin and link to the
trigonometric functions.
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.
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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.
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Unit A1 – Finance (Slide 1 of 2)
Specification reference:
Continued
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Teachers own notes
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.
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Unit A1 – Finance (Slide 2 of 2)
Specification reference:
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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.
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Unit M1 – Probability (Slide 1 of 3)
Specification reference:
Continued
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Teachers own notes
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.
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Unit M1 – Probability (Slide 2 of 3)
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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.
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:
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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.
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Unit A1 – Probability (Slide 1 of 2)
Specification reference:
Continued
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Teachers own notes
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.
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Unit A1 – Probability (Slide 2 of 2)
Specification reference:
Teachers own notes
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.
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page
Unit M2 – Number (Slide 1 of 3)
Specification reference:
Continued
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page
Teachers own notes
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.
Numbers and their representations including
powers, roots, indices (integers).
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Unit M2 – Number (Slide 2 of 3)
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Continued
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Teachers own notes
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.
Understand that 'percentage' means 'number of
parts per 100' and use this to compare
proportions.
Understand and use the relationship between
ratio and fractions.
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Unit M2 – Number (Slide 3 of 3)
Specification reference:
Teachers own notes
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.
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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.
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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
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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.
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Teachers own notes
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.
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.
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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.
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Unit M2 – Transformations and Vectors
(Slide 1 of 2)
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Teachers own notes
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.
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Unit M2 – Transformations and Vectors
(Slide 2 of 2)
Specification reference:
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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.
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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.
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Unit M2 – Sequences
Specification reference:
Generate terms of a sequence using term-toterm and position-to-term definitions.
Form linear expressions to describe the nth term
of a sequence.
Form quadratic expressions to describe the nth
term of a sequence.
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Unit M2 – Polygons and Circles (Slide 1 of 2)
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Teachers own notes
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.
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)
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Distinguish between centre, radius, chord,
diameter, circumference, tangent, arc, sector and
segment.
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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.
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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.
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.
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Unit M2 – Circle Theorems and Proof
(Slide 1 of 2)
Specification reference:
Continued
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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.
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:
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Understand and construct geometrical proofs
using formal arguments, including proving the
congruence, or non congruence of two triangles
in all possible cases.
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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.
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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.
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Unit A2 – Trial and Improvement
Candidates should be able to:
Find approximate solutions of equations using
systematic trial and improvement.
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Unit A2 – Measures (Slide 1 of 2)
Candidates should be able to:
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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.
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Unit A2 – Measures (Slide 2 of 2)
Candidates should be able to:
Teachers own notes
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.
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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.
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Unit A2 – Equations
Candidates should be able to:
Set up, and solve simple equations.
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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.
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Unit A2 – Linear and Real Life Graphs
(Slide 1 of 2)
Candidates should be able to:
Continued
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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:
Teachers own notes
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.
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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.
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.
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.
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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.
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Unit A2 – Bearings
Candidates should be able to:
Understand and use bearings.
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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.
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.
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