Download AQA Foundation

AQA Mathematics - Foundation Tier
General Topic
No. of
Hours
Objectives
Grade
By the end of the module students should be able to …
Autumn Term
Statistical measures
Area and volume (1)

























Integers





Find the mode for a set of numbers
Find the median for an odd set of numbers
Work out the range for a set of numbers
Calculate the mean for a set of numbers
Find the median for an even set of numbers
Write down the mode from a graph
Compare the mean and range of two distributions
Calculate the ‘fx’ column for a frequency distribution
Calculate the mean for a frequency distribution
Find the modal class for grouped data
Find the mean for grouped data
Find the median class for grouped data
Find the perimeter of a shape by counting sides of squares
Find the area of a square by counting squares
Work out the area and perimeter of a simple rectangle, such as 3 m by 8 m
Work out the area and perimeter of a harder rectangle, such as 3.6 m by 7.2
m
Find the area and perimeter of compound shapes
Find the area of a triangle and a parallelogram
Estimate the area of an irregular shape by counting squares and part squares
Find the area and perimeter of compound shapes
Find the area of a kite and a trapezium
Name the parts of a circle
Calculate the circumference of a circle, given the radius or diameter, to an
appropriate degree of accuracy
Find the perimeter of a semicircle
Calculate the area of a circle, given the radius or diameter, to an appropriate
degree of accuracy
Find the area of a semicircle
Understand positive and negative integers
Add and subtract negative integers
Multiply and divide negative integers
Find the factors of a number
Two-Tier GCSE Mathematics - Medium Term Plan
G
F
E
D
C
G
F
E
D
G
E
D
G
D
C
D
C
G
F
E
G
Resources used /
Notes
AQA Mathematics - Foundation Tier








Rounding
Angles




Find the least common multiple (LCM) of two simple numbers
Find the highest common factor (HCF) of two simple numbers
Recognise prime numbers
Write a number as a product of prime factors
Find the reciprocal of a number
Round to the nearest integer
Write an integer correct to the nearest 10 or the nearest 100
Round numbers to given powers of 10 and to given numbers of decimal
places
Round a number to one significant figure
Estimate answers to problems involving decimals
Estimate square roots
Estimate answers to calculations involving division
Estimate answers to calculations involving division by numbers less than one
Find minimum and maximum values
Express fractions of full turns in degrees and vice versa
Recognise acute, obtuse and reflex angles, estimate angles and measure
them accurately
Use properties of angles at a point and angles on a straight line, understand
the terms ‘perpendicular lines’ and ‘parallel lines’
Recognise corresponding angles and alternate angles
Understand and use three-figure bearings
Simplify expressions with one variable such as a + 2a + 3a
Simplify expressions with more than one variable such as
2a + 5b + a – 2b
Multiply out expressions with brackets
Expand (and simplify) harder expressions
Factorise expressions
Write down the place value of a digit, for example, what is the value of the 4
in 0.24?
Order decimals, for example, which is bigger, 0.24 or 0.3?
Add and subtract decimals
Multiply two decimals, such as 2.4 × 0.7
Divide a number by a decimal, such as 1 ÷ 0.2 and 2.8 ÷ 0.07

Convert decimals to fractions and fractions to decimals













Use of symbols
Decimals




Two-Tier GCSE Mathematics - Medium Term Plan
C
G
F
E
G
F
D
C
F
D
F
E
D
C
D
F
E
D
C
D
AQA Mathematics - Foundation Tier
Spring Term
Spring Term, Year 10
Properties of
triangles
(F tier only)
Fractions
Representing data
Scatter graphs
Properties of
polygons







Show that the angles of a triangle add up to 180° and use this to find angles
Show that an exterior angle of a triangle is equal to the sum of the interior
opposite angles
Identify isosceles, equilateral and right-angled triangles
Use the word ‘congruent’ when triangles are identical
Use angle properties of isosceles, equilateral and right-angled triangles
Find equivalent fractions
24
Simplify fractions such as 36


Arrange fractions in order of size
Work out fractions of quantities such as























Find one number as a fraction of another
Do calculations with simple fractions involving addition
Do calculations with simple fractions involving subtraction
Do calculations with mixed numbers
Do calculations with simple fractions involving multiplication
Do calculations with simple fractions involving division
Construct and interpret a pictogram
Construct and interpret a bar chart
Construct and interpret a dual bar chart
Interpret a pie chart
Construct a pie chart
Interpret a stem-and-leaf diagram
Construct a stem-and-leaf diagram (ordered)
Construct a frequency diagram
Interpret a time series graph
Draw a scatter graph by plotting points on a graph
Interpret the scatter graph
Identify the type and strength of the correlation
Draw a line of best fit on the scatter graph
Interpret the line of best fit
Recognise and name shapes, such as isosceles triangle, parallelogram,
rhombus, trapezium and hexagon
Calculate interior and exterior angles of a quadrilateral
Investigate tessellations


Classify a quadrilateral by geometric properties
Calculate exterior and interior angles of a regular polygon
5
8
E
G
E
G
F
of £20
Two-Tier GCSE Mathematics - Medium Term Plan
E
D
C
E
C
G
F
E
D
D
C
D
C
G
E
C
AQA Mathematics - Foundation Tier
Indices and
Standard form
Summer Term
Sequences

















Coordinates
Collecting data
Percentages













Calculate squares and square roots (with and without the use of a calculator)
Calculate cubes and cube roots (with and without the use of a calculator)
Use function keys on a calculator for powers and roots
Use the terms square, positive square root, negative square root, cube and
cube root
Recall integer squares from 2 × 2 to 15 × 15 and the corresponding square
roots
Recall the cubes of 2, 3, 4, 5 and 10
Use index notation and index laws for positive and negative powers
Continue a sequence of numbers or diagrams
Write down terms of a simple sequence
Find a particular term in a sequence involving positive numbers
Write the term-to-term rule in a sequence involving positive numbers
Find a particular term in a sequence involving negative or fractional numbers
Write the term-to-term rule in a sequence involving negative or fractional
numbers
Write the terms of a sequence or a series of diagrams given the nth term
Write the nth term of a sequence or a series of diagrams
Use coordinates in the first quadrant, such as plot the point
(3, 2)
Use coordinates in all four quadrants, such as plot the points (3, –2), (–2, 1)
and (–4, –3)
Draw lines such as x = 3 and y = x + 2
Solve problems involving straight lines
Draw lines such as y = 2x + 3
Find the midpoint of a line segment
Use and understand coordinates in three dimensions
Design and use tally charts for discrete and grouped data
Design and use two-way tables for discrete and grouped data
Classify and know the difference between various types of data
Design and use data collection sheets and questionnaires
Identify possible sources of bias in the design and use of data collection
sheets and questionnaires
Use a variety of different sampling methods
Understand that percentage means ‘out of 100’
Change a percentage to a fraction or a decimal and vice versa
Two-Tier GCSE Mathematics - Medium Term Plan
F
E
D
C
G
F
E
D
C
G
F
E
D
C
G
E
D
C
D
F
AQA Mathematics - Foundation Tier
Area and volume 2













Compare percentages, fractions and decimals
Work out a percentage of a given quantity
Calculate simple interest
Increase or decrease a quantity by a given percentage
Express one quantity as a percentage of another
Work out a percentage increase or decrease
Find the volume of a solid by counting cubes and stating units
Find the volume of water in a given cube or cuboid
Find the height of a cuboid, given volume, length and breadth
Solve problems involving surface areas of prisms and cylinders
Change between area measures such as change 2.7m² to cm²
Calculate volumes of prisms and cylinders
Change between volumes of measures such as change 2.6m³ to cm³ or
change 2700cm³ to litres
E
D
C
G
E
D
C
Year 11

Solve an equation such as 3x = 12 or x + 5 = 9

Solve an equation such as

Solve an equation such as 3x  4 = 5 + x or 2(5x + 1) = 28

Solve an equation such as 3x  12 = 2(x  5),















draw a line of symmetry on a 2-D shape
draw the reflection of a shape about a mirror line
draw all the lines of symmetry on a 2-D shape
draw the line of reflection for two shapes
give the order of rotation symmetry of a 2-D shape
name, draw or complete 2-D shapes from information about their symmetry
reflect shapes in the axes of a graph
reflect shapes in lines like x = 2 or y = -1
describe reflections and rotations about the origin fully
identify reflection symmetry in 3-D shapes
reflect shapes in y = x and y = -x
rotate shapes about any point on a graph
find the centre of a rotation and describe the rotation fully
combine reflections and rotations
identify lengths and angles that remain the same in reflections and rotations.
Autumn Term
Equations
Rotations and
reflections
x
 7 or 3x  1 = 9
2
2x x
7x
  5 or
2
3
4
3
Two-Tier GCSE Mathematics - Medium Term Plan
F
E
D
C
G
F
E
D
C
AQA Mathematics - Foundation Tier


Solve simple ratio and proportion problems, for example finding the ratio of
teachers to pupils in a school finding the amount of flour in a recipe for pastry
when the ratio of fat to flour is 1:2.
Solve more complex ratio and proportion problems, for example sharing out
money between two groups in the ratio of the numbers in each group.
Solve equations such as x3 + x = 12 using trial and improvement methods








Give a scale factor of an enlarged shape
Enlarge a shape by a positive scale factor
Find the measurements of the dimensions of an enlarged shape
Use map scales to find distance
Compare the area of an enlarged shape with the original shape
Enlarge a shape by a positive scale factor from a given centre
Translate a shape using a description such as 4 units right and 3 units down
Enlarge a shape by a fractional scale factor

Translate a shape by a vector such as











Transform shapes by a combination of translation, rotation and reflection
Plot points of a conversion graph and read off positive values
Read from a conversion graph for negative values
Interpret distance/time graphs
Calculate simple average speeds from a distance/time graphs over hours
Calculate complex average speeds from a distance/time graphs over minutes
decide which metric unit to use for everyday measurements
convert between imperial and metric units
know rough metric equivalents of pounds, feet, miles, pints and gallons
make sensible estimates of a range of measures in everyday settings
use speed in calculations involving distance and time (with times restricted to
1
1
1
4 hour, 3 hour, 2 hour and whole numbers of hours).



solve more difficult speed problems
understand and use other compound measures such as density
recognize that measurements given to the nearest whole unit may be half a
unit larger or smaller
Use a formula written in words such as cost = 20 x distance travelled
Use a simple formula such as p = 2l +2w
Substitute positive numbers into a simple formula
Ratio and
proportion

Trial and
improvement
Spring Term
Spring Term, Year 10
Translation and
enlargements
Real life graphs
Measures
Formulae



4 
 
 3
Two-Tier GCSE Mathematics - Medium Term Plan
D
C
C
F
E
D
C
F
E
D
C
G
F
E
C
G
F
AQA Mathematics - Foundation Tier
Construction




Write an expression from a problem
Substitute negative numbers into a simple formula
Use formulae from mathematics and other subjects
Find a solution to a problem by forming an equation and solving it

Substitute numbers into more complicated formulae such as












Rearrange a linear formula such as p = 3q + 5
measure a line accurately to within 2 millimetres
recognise the net of a simple solid such as a cuboid
measure or draw an angle accurately to within 2 degrees
measure and scale a line
draw the net of a simple solid such as a cuboid
draw a triangle given the lengths of:
three sides, or
two angles and a side, or
two sides and the included angle
draw a quadrilateral such as a kite or a parallelogram to given measurements
understand that giving the lengths of two sides and a non-included angle may
not produce a unique triangle
construct and recognise the nets of 3-D shapes such as pyramids and
triangular prisms
construct the perpendicular bisector of a line
construct the perpendicular from a point to a line
construct the perpendicular from a point on a line
bisect an angle
Understand and use the vocabulary of probability, such as certain,
impossible, likely, unlikely, evens.
Understand and use a probability scale.
Express a probability as a fraction, such as the probability of getting a six






Probability


when a fair die is thrown is

c
E
 A  1 D
9
1
.
6
Display outcomes systematically, such as the results when two coins are
tossed.
Two-Tier GCSE Mathematics - Medium Term Plan
D
C
G
F
E
D
C
G
F
AQA Mathematics - Foundation Tier




Graphs of linear
functions
Pythagoras’
theorem
Quadratic functions
Loci
3-D shapes
Algebraic Proofs



























Understand the difference between experimental and theoretical probability,
such as getting 56 heads and 44 tails rather than 50 – 50.
Use a two-way table to find a probability such as getting a combined total of 7
from throwing two dice.
Understand and use relative frequency.
Understand the meaning of mutually exclusive outcomes, such as getting a
head or a tail.
Use the fact that the probabilities of mutually exclusive outcomes add up to 1.
Use probability to estimate outcomes for a population.
Plot the graphs of straight lines such as y  4
Complete a table of values for y  2x  3 and draw the graph
Solve problems involving graphs such as finding where the line y  x  2
crosses the line y  1

Recognise the equations of straight line graphs such as y  4x  2

Find the gradients of straight line graphs
Use Pythagoras’ theorem to find the hypotenuse of a
right-angled triangle

Use Pythagoras’
theorem to find any side of a right-angled triangle
Use Pythagoras’ theorem to find the height of
an isosceles triangle
Use Pythagoras’ theorem in practical problems
Draw graphs of simple quadratic functions such as y  3x 2 and y  x 2  4
Draw graphs of harder quadratic functions such as y  x  2 x  1
Find the points of intersection of quadratic graphs with lines
Use graphs to find the approximate solutions of quadratic equations
Understand the idea of a locus
Construct accurate loci, such as those of points equidistant from two fixed
points
Solve loci problems, such as identifying points less than 3 cm from a point P
Recognise and name three-dimsensional (3-D) solids
Sketch three-dimsensional (3-D) solids
Draw a cuboid on an isometric grid and mark its dimensions
Draw plans and elevations of three-dimsensional (3-D) solids
Decide with a reason whether a simple statement is true or false
Decide with a reason whether a harder statement is true or false
Identify a counter example
Understand the difference between a demonstration and a proof
Show step-by-step deductions in providing a basic algebraic explanation
E
D
C
E
D
C
D
C
D
2
Two-Tier GCSE Mathematics - Medium Term Plan
C
D
C
G
E
D
E
D
C
AQA Mathematics - Foundation Tier
Two-Tier GCSE Mathematics - Medium Term Plan