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# Descriptor

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Descriptor Descriptor Descriptor Descriptor

Understanding your Foundation AQA Linear Specification using the AQA Modular books

This table will show you exactly where to find all the content that you require to complete your Foundation AQA Linear Specification using the Collins New GCSE Maths AQA Modular books.

Unit 3 Descriptor Core and Recall Unit 1 Unit 2

Number

Understand integers and place value to deal with arbitrary large positive N1.1 numbers

Add, subtract, multiply and divide any number.

N1.2

Understand and use number operations and the relationships between N1.3 them, including inverse operations and hierarchy of operations.

Approximate to a given power of 10, up to three decimal places and one N1.4 significant figure.

Order rational numbers. N1.5

The concepts and vocabulary of factor (divisor), multiple, common factor, N1.6 highest common factor, least common multiple, prime number and prime

factor decomposition.

The terms square, positive and negative square root, cube and cube root.

N1.7

Index notation for squares, cubes and powers of 10.

N1.8

Index laws for multiplication and division of integer powers. N1.9

Use a calculator effectively and efficiently. N1.14

Understand equivalent fractions, simplifying a fraction by cancelling all N2.1 common factors.

N2.2

Use decimal notation and recognise that each terminating decimal is a N2.3 fraction.

Recognise that recurring decimals are exact fractions and that some N2.4 exact fractions are recurring decimals.

Understand that ‘percentage’ means ‘number of parts per 100’ and use N2.5 this to compare proportions.

Interpret fractions, decimals and percentages as operators. N2.6

Calculate with fractions, decimals and percentages as operators. N2.7

Use ratio notation, including reduction to its simplest form and its various N3.1 links to fraction notation.

Divide a quantity in a given ratio. N3.2

Solve problems involving ratio and proportion, including the unitary

N3.3 method of solution.

Algebra

Distinguish the different roles played by letter symbols in algebra, using N4.1 the correct notation.

Distinguish in meaning between the words ‘equation’, ‘formula’, and N4.2 ‘expression’.

Manipulate algebraic expressions by collecting like terms, by multiplying a

N5.1 single term over a bracket, and by taking out common factors.

Set up and solve simple linear equations.

N5.4

Derive a formula, substitute numbers into a formula and change the N5.6 subject of a formula

Solve linear inequalities in one variable and represent the solution set on N5.7 a number line.

Use systematic trial and improvement to find approximate solutions of N5.8 equations where there is no simple analytical method of solving them.

Use algebra to support and construct arguments.

N5.9

Generate terms of a sequence using term-to-term and position to term N6.1 definitions of the sequence.

thUse linear expressions to describe the n term of an arithmetic sequence. N6.2

Use the conventions for coordinates in the plane and plot points in all four N6.3 quadrants, including using geometric information.

Recognise and plot equations that correspond to straight-line graphs in N6.4 the coordinate plane, including finding their gradients.

Construct linear functions from real-life problems and plot their N6.11 corresponding graphs.

Discuss, plot and interpret graphs (which may be non-linear) modelling N6.12 real situations.

Generate points and plot graphs of simple quadratic functions, and use N6.13 these to find approximate solutions.

Geometry

Recall and use properties of angles at a point, angles at a point on a G1.1

straight line (including right angles), perpendicular lines and opposite

angles at a vertex.

Understand and use the angle properties of parallel and intersecting

Calculate and use the sums of the interior and exterior angles of G1.3 polygons.

Recall the properties and definitions of special types of quadrilateral, G1.4 including square, rectangle, parallelogram, trapezium, kite and rhombus.

Distinguish between centre, radius, chord, diameter, circumference, G1.5 tangent, arc, sector and segment.

Recognise reflection and rotation symmetry of 2D shapes.

G1.6

Describe and transform 2D shapes using single or combined rotations, G1.7 reflections, translations, or enlargements by a positive scale factor and

distinguish properties that are preserved under particular transformations.

G1.8 Understand congruence and similarity.

Use Pythagoras’ theorem.

G2.1

Justify simple geometrical properties.

G2.3

Use 2D representations of 3D shapes.

G2.4

Use and interpret maps and scale drawings.

G3.1

Understand the effects of enlargement for perimeter, area and for volume G3.2 of shapes and solids.

Interpret scales on a range of measuring instruments and recognise the G3.3 inaccuracy of measurements.

Convert measurements from one unit to another. G3.4

Make sensible estimates of a range of measures. G3.5

Understand and use bearings. G3.6

Understand and use compound measures. G3.7

Measure and draw lines and angles.

G3.8

Draw triangles and other 2D shapes using a ruler and protractor. G3.9

Use straight edge and a pair of compasses to do constructions. G3.10

Construct loci. G3.11

Calculate perimeters and areas of shapes made from triangles and

rectangles. G4.1

Calculate circumference and areas of circles. G4.3

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

G4.4 cuboids

Understand and use vector notation for translations. G5.1

Statistics

Understand and use the statistical problem solving process which S1

involves

• specifying the problem and planning

• collecting data

• processing and presenting the data

• interpreting and discussing the results.

Types of data: qualitative, discrete, continuous. Use of grouped and S2.1 ungrouped data.

Identify possible sources of bias. S2.2

Design an experiment or survey. S2.3

Design data-collection sheets distinguishing between different types of S2.4 data.

Extract data from printed tables and lists.

S2.5

Design and use two-way tables for grouped and ungrouped data. S3.1

Produce charts and diagrams for various data types. Scatter graphs,

stem-and-leaf, tally charts, pictograms, bar charts, dual bar charts, pie S3.2 charts, line graphs, frequency polygons, histograms with equal class

intervals.

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

S3.3

Interpret a wide range of graphs and diagrams and draw conclusions.

S4.1

Look at data to find patterns and exceptions S4.2

Recognise correlation and draw and/or use lines of best fit by eye, S4.3 understanding what they represent.

Compare distributions and make inferences. S4.4

Understand and use the vocabulary of probability and the probability S5.1 scale.

Understand and use estimates or measures of probability from theoretical S5.2 models (including equally likely outcomes), or from relative frequency.

List all outcomes for single events, and for two successive events, in a S5.3 systematic way and derive related probabilities.

Identify different mutually exclusive outcomes and know that the sum of S5.4 the probabilities of all these outcomes is 1.

Compare experimental data and theoretical probabilities. S5.7

Understand that if an experiment is repeated, this may and usually will

S5.8 result in different outcomes.

Understand that increasing sample size generally leads to better S5.9 estimates of probability and population characteristics.

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