KEY

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KEY
Methods 1
Methods 2
Applications 2
Applications 1
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AQA GCSE Linked Pair Pilot Route Map Foundation
Tier Year 10
Year 10
November Examinations
Number
Indices and Powers
Fractions , Decimals and Percentages
Fractions, Decimals and Percentages
Number
Basic Algebra
January Examinations
Algebraic Argument
Scatter Graphs
Ratio and Proportion
Ratio and Proportion
Basic Algebra
Coordinates and Graphs
March Examinations
Equations, Graphs and Formulae
Equations, Formulae and Inequalities
Probability
Statistical Measures
Probability
Representing Data
Revision
Finance
Collecting data
Multiples, Factors and Primes
June Examinations
June Examinations
Number
Year 11
3
AQA GCSE Linked Pair Pilot Route Map Foundation
Tier Year 11
Year 11
November Examinations
Algebraic Manipulation
Venn Diagrams
Angles
Sequences
Equations
Transformations
January Examinations
Perimeter, Area and Volume
Polygons and Circles
Shapes
Pythagoras
Coordinates
Number
March Examinations
Approximation and Calculators
Pythagoras
Trial and Improvement
Equations
Measures
Perimeter, Area and Volume
Percentage, Ratio and Proportion
Loci and Construction
Polygons and Circles
Transformations
Shapes
Angles
Coordinates and Graphs
Bearings
Linear and Real Life Graphs
June Examinations
June Examinations
Year 10
4
Unit M1 Number (Slide 1 of 3)
Candidates should be able to Teachers own notes
Understand and use number operations and the relationship between them, including inverse operations and hierarchy of operations.
5
Unit M1 Number (Slide 2 of 3)
Candidates should be able to Teachers own notes
Arithmetic of real numbersadd, subtract, multiply and divide any number 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.
6
Unit M1 Number (Slide 3 of 3)
Candidates should be able to Teachers own notes
Use the concepts and vocabulary of factor (divisor) multiple and prime numbers. These terms will not be explicitly assessed in this unit but their meaning should be known as they could be used in a question on number, algebra or probability. These terms could appear in any section. The explicit testing of these terms will be in M2.
Use calculators effectively and efficiently (Calculators are only allowed in Section A). Candidates should know not to round off values during the intermediate steps of a calculation.
7
Unit M1 Indices and Powers
Candidates should be able to Teachers own notes
Numbers and their representations including powers, roots, indices (integers). Knowledge of powers, roots and indices will be assessed in Section B (non calculator) although they can occur in number, algebra and probability questions in Section A. Candidates should also understand that an integer is a positive or negative whole number and would, for example, if describing the integer members of two overlapping inequalities or sets, include zero. Candidates should know the squares and corresponding roots up to 15 ? 15 and the cubes and corresponding roots of the cubes of 1, 2, 3, 4, 5 and 10.
8
Unit A1 Number (Slide 1 of 2)
Candidates should be able to Teachers own notes
Understand and use number operations and the relationship between them, including inverse operations and hierarchy of operations.
Understand numbers and their representation including powers, roots, indices (integer values). Where powers, indices and roots occur in this unit it will be in the context of problems in number, finance, algebra or statistics. Candidates will be expected to use a calculator to calculate powers and roots.
9
Unit A1 Number (Slide 2 of 2)
Candidates should be able to Teachers own notes
Use calculators effectively and efficiently, including statistical functions. Candidates should be able to use a calculator for calculations involving the four rules to check answers enter complex calculations such as estimating the mean of a grouped frequency table calculations using the four rules with fractions calculations using the functions x 2, x 3, x n, vx, 3 vx, 1/x. The term reciprocal need not be known at Foundation tier. Candidates should be able to interpret the calculator display (for example, values that have been rounded) and understand that 3.6 as a money answer should be written as 3.60
10
Unit M1 Fractions, Decimals and Percentages
Candidates should be able to Teachers own notes
Understand that percentage means number of parts per 100 and use this to compare proportions. In Section B (non calculator) questions will be based on a starting point of calculating 50, 25, 10 or 1.
Use multipliers for percentage change. In Section B (non calculator) percentage change will be based on a starting point of 50, 25, 10 or 1. Use of a multiplier will give a decimal product. Calculating the percentage change and adding or subtracting may be a more efficient method.
Interpret fractions, decimals and percentages as operators.
Understand and use the relationship between ratio, fractions and decimal representations. Candidates should know how to convert a fraction to a decimal.
11
Unit A1 Fractions, Decimals and Percentages
(Slide 1 of 2)
Candidates should be able to Teachers own notes
Understand that percentage means number of parts per 100 and use this to compare proportions. Percentage questions will not be assessed explicitly in this unit but questions may involve a comparison using percentages.
Use multipliers for percentage change. This reference will be assessed in this unit in the context of finance or statistics.
12
Unit A1 Fractions, Decimals and Percentages
(Slide 2 of 2)
Candidates should be able to Teachers own notes
Interpret fractions, decimals and percentages as operators. Candidates should be able to use percentages to interpret or compare statistical diagrams or data sets interpret a percentage as a multiplier when solving problems. Candidates should be able to convert between fractions, decimals and percentages to find the most appropriate method of calculation.
13
Unit M1 Basic Algebra
Candidates should be able to 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.
Manipulate algebraic expressions by collecting like terms, by multiplying a single term over a bracket, taking out common factors.
14
Unit A1 Basic Algebra
Candidates should be able to Teachers own notes
Manipulate algebraic expressions by collecting like terms, by multiplying a single term over a bracket, taking out common factors.
15
Unit M1 Ratio and Proportion
Candidates should be able to Teachers own notes
Understand and use the relationship between ratio, fractions and decimal representations. Candidates should know how to convert a fraction to a decimal.
Understand and use direct proportion.
Divide a quantity in a given ratio.
16
Unit A1 Ratio and Proportion
Candidates should be able to Teachers own notes
Understand and use direct proportion.
Divide a quantity in a given ratio.
17
Unit M1 Algebraic Argument
Candidates should be able to Teachers own notes
Use algebra to support and construct arguments.
18
Unit M1 Coordinates and Graphs
Candidates should be able to Teachers own notes
Use the conventions for coordinates in the plane and plot points in all four quadrants. In this unit plotting points will be used when drawing straight line graphs
Recognise and plot equations that correspond to straight-line graphs in the coordinate plane.
19
Unit A1 Scatter Graphs
Candidates should be able to Teachers own notes
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.
20
Unit M1 Equations, Graphs and Formulae
Candidates should be able to Teachers own notes
Set up, and solve simple equations and inequalities.
Solve quadratic equations approximately using a graph.
Derive a formula, substitute numbers into a formula and change the subject of a formula. Candidates should be able to use formulae from mathematics use formulae expressed in words and symbols substitute numbers into a formula change the subject of a formula which will involve at most two letters and two inverse operations to rearrange and will not include any terms containing a power.
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Unit A1 Equations, Formulae and Inequalities
Candidates should be able to Teachers own notes
Set up, and solve simple equations and inequalities.
Derive a formula, substitute numbers into a formula. In this unit the formulae will be derived from practical situations such as the time taken to cook a turkey or how much to charge for a taxi journey.
Solve linear inequalities in one variable, and represent the solution set on a number line.
22
Unit A1 Statistical Measures
Candidates should be able to Teachers own notes
Calculate, median, mean, range and modal class.
Discuss and start to estimate risk.
23
Unit A1 Representing Data (Slide 1 of 2)
Candidates should be able to Teachers own notes
Design, use and interpret two-way tables for discrete and grouped data.
Look at data to find patterns and exceptions.
Compare distributions and make inferences.
Produce and interpret charts and diagrams for categorical data including bar charts, pie charts and pictograms.
Produce and interpret diagrams for grouped and ungrouped data, including tally charts, vertical line graphs, Stem-and-leaf diagrams, frequency polygons and histograms with equal class intervals.
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Unit A1 Representing Data (Slide 2 of 2)
Candidates should be able to Teachers own notes
Work with time series including their graphical representation. Understand that a time series is a series of data points typically spaced over uniform time intervals. Plot and interpret time-series graphs. Be able to use a time series graph to predict a subsequent value. Understand that if data points are joined with a line then the line will not represent actual values but will show a trend.
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Unit M1 Probability (Slide 1 of 3)
Candidates should be able to Teachers own notes
Understand and use the vocabulary of probability and the probability scale. Candidates should be able to use words to indicate the chances of an outcome for an event use fractions, decimals or percentages to put values to probabilities place events with equally likely outcomes on a probability scale from 0 to 1.
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Unit M1 Probability (Slide 2 of 3)
Candidates should be able to Teachers own notes
Use Venn diagrams to represent the number of possibilities and hence find probabilities. Understand that P(A) means the probability of event A Understand that P(A) means the probability of not event A Understand that P(A ? B) means the probability of event A or B Understand that P(A ? B) means the probability of event A and B.
Compare experimental data and theoretical probabilities, and make informal inferences about the validity of the model giving rise to the theoretical probabilities.
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Unit M1 Probability (Slide 3 of 3)
Candidates should be able to 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.
28
Unit A1 Probability (Slide 1 of 2)
Candidates should be able to 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. In this unit this reference will only be assessed alongside reference A1.S3, comparing a relative frequency with a theoretical frequency.
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Unit A1 Probability (Slide 2 of 2)
Candidates should be able to Teachers own notes
Understand and use estimates of probability from relative frequency. Candidates should be able to estimate probabilities by considering relative frequency. Questions in this unit will be set in a realistic context.
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 Collecting Data
Candidates should be able to Teachers own notes
Data Handling Cycle.
Design an experiment or survey, identifying possible sources of bias.
Design data-collection sheets distinguishing between different types of data.
Extract data from publications, charts, tables and lists.
31
Unit A1 Finance (Slide 1 of 5)
Candidates should be able to Teachers own notes
Carry out calculations relating to enterprise, saving and borrowing, appreciation and depreciation. Understand and calculate VAT. Understand basic business terms such as profit and loss and carry out related calculations. Understand how interest is calculated and related terms such as principal, interest rate, per annum and be able to calculate simple interest. Understand terms related to income tax such as personal allowance, taxable income and tax bands and carry out related calculations. Understand that the value of items such as cars, for example, will depreciate (or appreciate) over time and carry out related calculations.
32
Unit A1 Finance (Slide 2 of 5)
Candidates should be able to Teachers own notes
Use mathematics in the context of personal and domestic finance including loan repayments, budgeting, RPI and CPI , exchange rates and commissions. Understand and calculate wages and salaries given hourly/weekly/monthly rates of pay. Understand the terms gross wage/salary and net wage/salary and that wages and salaries are subject to Tax and National insurance. Understand terms such as bonus and sales commission. Understand that overtime is often paid at a higher rate and should understand terms such as time and a half and carry out related calculations. CONTINUED ON NEXT SLIDE
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Unit A1 Finance (Slide 3 of 5)
Candidates should be able to Teachers own notes
Understand the term Retail Price Index (RPI) and be able to do related calculations. Understand the term Consumer Price Index (CPI) and be able to do related calculations. Understand that different currencies have a variable exchange rate and carry out related calculations. Understand that when exchanging money or carrying out a financial transaction that a commission may be charged. Know that loans are normally paid back at a fixed rate over a fixed number of months and that the amount paid back will vary depending on the number of months taken to pay the loan back.
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Unit A1 Finance (Slide 4 of 5)
Candidates should be able to Teachers own notes
Use spreadsheets to model financial, statistical and other numerical situations. Candidates should be able to Read a spreadsheet and be able to pick out information. Understand and construct formulae, using normal spreadsheet notation(see notes below).
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Unit A1 Finance (Slide 5 of 5)
Candidates should be able to Teachers own notes
Construct and use flow charts. Candidates should be able to Understand the symbols used in flow charts (see notes below). Work through a flow chart to obtain the final output. Construct a simple flow diagram to perform a simple financial or mathematical calculation which may involve a repeated action.
36
Unit M2 Number (Slide 1 of 3)
Candidates should be able to Teachers own notes
Understand and use number operations and the relationship between them, including inverse operations and hierarchy of operations.
Add, subtract, multiply and divide any number. The four rules will be assessed in the context of problems in number, algebra and geometry. Candidates will be expected to use a calculator.
37
Unit M2 Number (Slide 2 of 3)
Candidates should be able to Teachers own notes
Understand numbers and their representation including powers, roots, indices (integers). Powers and roots will not be assessed in this units but knowledge of square, cube, square root and cube root will be needed for questions involving area and volume. Candidates will be expected to use a calculator to calculate powers and roots.
Approximate to specified degrees of accuracy including a given power of ten, number of decimal places and significant figures. Candidates should be able to round to The nearest 10, 100 or 1000 1, 2 or 3 decimal places 1 significant figure.
38
Unit M2 Number (Slide 3 of 3)
Candidates should be able to Teachers own notes
Understand that percentage means number of parts per 100 and use this to compare proportions. Questions explicitly assessing knowledge of percentage will be assessed in this unit and in M1.
Understand and use the relationship between ratio and fractions.
Find proportional change, using fractions, decimals and percentages.
Use calculators effectively and efficiently.
39
Unit M2 Multiples, Factors and Primes
Candidates should be able to Teachers own notes
Use the concepts and vocabulary of factor (divisor) multiple, common factor, common multiple, highest common factor, least common multiple, prime numbers and prime factor decomposition.
Understand that factors of a number can be derived from its prime factorisation.
40
Unit M2 Venn Diagrams
Candidates should be able to Teachers own notes
Understand and use Venn diagrams to solve problems.
41
Unit M2 Algebraic Manipulation
Candidates should be able to Teachers own notes
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.
42
Unit M2 Angles
Candidates should be able to Teachers own notes
Recall and use properties of 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.
43
Unit M2 Sequences
Candidates should be able to Teachers own notes
Generate terms of a sequence using term-to-term and position-to-term definitions
Form linear expressions to describe the nth term of a sequence.
44
Unit M2 Equations
Candidates should be able to Teachers own notes
Set up, and solve simple equations.
Recognise and use equivalence in numerical, algebraic and graphical representations.
45
Unit M2 Transformations
Candidates should be able to 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.
Use 2D vectors to describe translations.
Understand congruence and similarity, including the relationship between lengths, in similar figures.
46
Unit M2 Shapes
Candidates should be able to Teachers own notes
Recall the properties and definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium, kite and rhombus.
Recognise reflection and rotational symmetry of 2D shapes.
47
Unit M2 Polygons and Circles
Candidates should be able to Teachers own notes
Calculate and use the sums of the interior and exterior angles of polygons.
Solve problems in the context of tiling patterns and tessellation. Understand that a tessellation of shapes covers the plane with no gaps. Understand that shapes that fit together at a point in a tessellation have an angle sum of 360.
Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment.
48
Unit M2 Perimeter, Area and Volume
Candidates should be able to Teachers own notes
Find circumferences of circles and areas enclosed by circles.
Calculate perimeters and areas of shapes made from triangles and rectangles.
Calculate volumes of right prisms and of shapes made from cubes and cuboids.
49
Unit M2 Pythagoras
Candidates should be able to Teachers own notes
Use Pythagoras theorem in 2D.
50
Unit M2 Coordinates
Candidates should be able to Teachers own notes
Use the conventions for coordinates in the plane and plot points in all four quadrants.
Use geometric information to complete diagrams on a coordinate grid.
51
Unit A2 - Number
Candidates should be able to Teachers own notes
Understand and use number operations and the relationship between them, including inverse operations and hierarchy of operations.
Use the concepts and vocabulary of factor (divisor) multiple, common factor, common multiple and prime number.
52
Unit A2 Approximation and Calculators
Candidates should be able to Teachers own notes
Approximate to specified degrees of accuracy including a given power of ten, number of decimal places and significant figures. Candidates should be able to round to The nearest 10, 100 or 1000 1, 2 or 3 decimal places 1 significant figure.
Use calculators effectively and efficiently.
53
Unit A2 Trial and Improvement
Candidates should be able to Teachers own notes
Find approximate solutions of equations using systematic trial and improvement.
54
Unit A2 Measures
Candidates should be able to Teachers own notes
Interpret scales on a range of measuring instruments and recognise the inaccuracy of measurements.
Convert measurements from one unit to another.
Make sensible estimates of a range of measures.
Understand and use compound measures in familiar and unfamiliar contexts.
55
Unit A2 Pythagorass Theorem
Candidates should be able to Teachers own notes
Use Pythagoras theorem in 2D. Candidates should understand, use and recall Pythagoras theorem. In this unit this will be assessed in the context of a geometrical problem.
56
Unit A2 Perimeter, Area and Volume
Candidates should be able to Teachers own notes
Calculate perimeters and areas of shapes made from triangles and rectangles.
Calculate volumes of right prisms and of shapes made from cubes and cuboids.
57
Unit A2 Percentage, Ratio and Proportion
Candidates should be able to Teachers own notes
Understand that percentage means number of parts per 100 and use this to compare proportions. Percentage questions will not be assessed explicitly in this unit but questions may involve a comparison using percentages.
Find proportional change.
Divide a quantity in a given ratio.
58
Unit A2 Equations
Candidates should be able to Teachers own notes
Set up, and solve simple equations.
59
Unit A2 Linear and Real Life Graphs
Candidates should be able to Teachers own notes
Find and interpret gradients of straight line graphs in practical contexts.
Construct linear functions from real-life problems and plot their corresponding graphs.
Recognise and use graphs that illustrate direct proportion.
Discuss, plot and interpret graphs (which may be non-linear) modelling real situations, including journeys/travel graphs.
Calculate areas under graphs consisting only of straight lines and interpret the result.
60
Unit A2 Angles
Candidates should be able to Teachers own notes
Measure and draw lines and angles.
Recall and use properties of 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.
61
Unit A2 Bearings
Candidates should be able to Teachers own notes
Understand and use bearings.
62
Unit A2 Polygons and Circles
Candidates should be able to Teachers own notes
Distinguish between centre, radius, chord, diameter, circumference, tangent, arc, sector and segment.
Find circumferences of circles and areas enclosed by circles.
63
Unit A2 Coordinates and Graphs
Candidates should be able to Teachers own notes
Use the conventions for coordinates in the plane and plot points in all four quadrants. In this unit plotting points will be used when constructing linear functions from real-life graphs.
Recognise and plot equations that correspond to straight-line graphs in the coordinate plane. In this unit the straight lines graphs will be from practical situations such as a conversion graphs.
Find approximate solutions of equations using graphical methods.
64
Unit A2 Shapes
Candidates should be able to Teachers own notes
Recall the properties and definitions of special types of quadrilateral, including square, rectangle, parallelogram, trapezium, kite and rhombus.
Recognise reflection and rotational symmetry of 2D shapes.
Use 2D representations of 3D shapes.
65
Unit A2 Transformations
Candidates should be able to Teachers own notes
Understand congruence and similarity, including the relationship between lengths, in similar figures.
66
Unit A2 Loci and Constructions
Candidates should be able to Teachers own notes
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.