The 1 year course of study leading to the linear exam is as follows (courtesy AQA)
Foundation. Year 11.
Week 1/2 Shape
Understand the effect of enlargement on perimeterUnderstand the effect of enlargement on areas of shapes Understand the effect of enlargement on volumes of shapes and solids Compare the areas or volumes of similar shapes Calculate the perimeter of shapes made from compound shapes made from two or more rectanglesRecall and use the formulae for area of a rectangle, triangle and parallelogramCalculate the area of shapes made from triangles and rectanglesCalculate the area of shapes made from compound shapes made from two or more rectangles, for example an L shape or T shapeCalculate the area of a trapeziumRecall and use the formula for the circumference of a circle Work out the circumference of a circle, given the radius or diameter
Work out the radius or diameter given the circumference of a circle
Work out the perimeter of semi-circles, quarter circles or other simple fractions of a circle
Recall and use the formula for the area of a circle
Work out the area of a circle, given the radius or diameter
Work out the radius or diameter given the area of a circle
Work out the area of semi-circles, quarter circles or other simple fractions of a circle
Recall and use the formula for the volume of a cuboid
Recall and use the formula for the volume of a cylinder
Use the formula for the volume of a prism
Work out the volume of a cube or cuboid
Work out the volume of a prism using the given formula, for example a triangular prism
Work out the volume of a cylinder
Use 2D representations of 3D shapes
Draw nets and show how they fold to make a 3D solid
Know the terms face, edge and vertex (vertices)
Identify and name common solids, for example cube, cuboid, prism, cylinder, pyramid, sphere and cone
Analyse 3D shapes through 2D projections and cross-sections, including plan and elevation
Understand and draw front and side elevations and plans of shapes made from simple solids, for example a solid made from small cubes
Understand and use isometric drawings
Week 3/4 Transformations
Recognise reflection symmetry of 2D shapes
Identify lines of symmetry on a shape or diagram
Draw lines of symmetry on a shape or diagram
Understand line symmetry
Draw or complete a diagram with a given number of lines of symmetry
Recognise rotational symmetry of 2D shapes
Identify the order of rotational symmetry on a shape or diagram
Draw or complete a diagram with rotational symmetry
Understand line symmetry
Identify and draw lines of symmetry on a Cartesian grid
Identify the order of rotational symmetry of shapes on a Cartesian grid
Draw or complete a diagram with rotational symmetry on a Cartesian grid
Describe and transform 2D shapes using single rotations
Understand that rotations are specified by a centre and an (anticlockwise) angle
Find a centre of rotation
Rotate a shape about the origin or any other point
Measure the angle of rotation using right angles
Measure the angle of rotation using simple fractions of a turn or degrees
Describe and transform 2D shapes using single reflections
Understand that reflections are specified by a mirror line
Identify the equation of a line of reflection
Describe and transform 2D shapes using single transformations
Understand that translations are specified by a distance and direction (using a vector)
Translate a given shape by a vector
Describe and transform 2D shapes using enlargements by a positive scale factor
Understand that an enlargement is specified by a centre and a scale factor
Enlarge a shape on a grid (centre not specified)
Draw an enlargement
Enlarge a shape using (0, 0) as the centre of enlargement
Enlarge shapes with a centre other than (0, 0)
Find the centre of enlargement
Describe and transform 2D shapes using combined rotations, reflections, translations, or enlargements
Distinguish properties that are preserved under particular transformations
Identify the scale factor of an enlargement of a shape as the ratio of the lengths of two corresponding sides
Understand that distances and angles are preserved under rotations, reflections and translations, so that any figure is congruent under any of these transformations
Describe a translation
Understand congruence
Identify shapes that are congruent
Recognise congruent shapes when rotated, reflected or in different orientations
Understand similarity
Identify shapes that are similar, including all squares, all circles or all regular polygons with equal number of sides
Recognise similar shapes when rotated, reflected or in different orientations
Understand the effect of enlargement on perimeter
Understand the effect of enlargement on areas of shapes
Understand the effect of enlargement on volumes of shapes and solids
Compare the areas or volumes of similar shapes
Understand and use vector notation for translations
Week 4/5/6 Algebraic Manipulation
Recognise that, for example, 5x + 1 = 16 is an equation
Recognise that, for example V = IR is a formula
Recognise that x + 3 is an expression
Write an expression
Understand that the transformation of algebraic expressions obeys and generalises the rules of generalised arithmetic
Multiply a single term over a bracket
Write expressions to solve problems
Write expressions using squares and cubes
Factorise algebraic expressions by taking out common factors
Set up simple linear equations
Rearrange simple equations
Solve simple linear equations by using inverse operations or by transforming both sides in the same way
Solve simple linear equations with integer coefficients where the unknown appears on one or both sides of the equation, or with brackets
Use formulae from Mathematics and other subjects expressed initially in words and then using letters and symbols; for example formula for area of a triangle, area of a parallelogram, area of a circle, wage earned = hours worked x hourly rate plus bonus, volume of a prism, conversions between measures
Substitute numbers into a formula
Use notations and symbols correctly
Understand that letter symbols represent definite unknown numbers in equations, defined quantities or variables in formulae, and in functions they define new expressions or quantities by referring to known quantities.Generate common integer sequences, including sequences of odd or even integers, squared integers, powers of 2, powers of 10 and triangular numbers g
Generate simple sequences derived from diagrams and complete a table of results describing the pattern shown by the diagrams
Work out an expression in terms of n for the nth term of a linear sequence by knowing that the common difference can be used to generate a formula for the nth term
Week 6/7 Coordinates and Linear Graphs
Read from graphs representing real-life situations; for example, the cost of a bill for so many units of gas or working out the number of units for a given cost, and also understand that the intercept of such a graph represents the fixed charge
Draw linear graphs with or without a table of values
Calculate the gradient of a given straight line using the y-step/x-step method
Interpret linear graphs representing real-life situations; for example, graphs representing financial situations (e.g. gas, electricity, water, mobile phone bills, council tax) with or without fixed charges, and also understand that the intercept represents the fixed charge or deposit
Plot and interpret distance-time graphs
Identify the correct equation of a real-life graph from a drawing of the graph
Plot points in all four quadrants
Find coordinates of points identified by geometrical information, for example the fourth vertex of a rectangle given the other three vertices
Find coordinates of a midpoint, for example on the diagonal of a rhombus
Interpret linear graphs from real-life situations; for example conversion graphs
Interpret linear graphs showing real-life situations in geometry, such as the depth of water in containers as they are filled at a steady rate
Interpret non-linear graphs showing real-life situations, such as the height of a ball plotted against time
Week 8 Holiday
Week 9 Angles and Bearings
Work out missing angles using properties of alternate angles and corresponding angles
Understand the consequent properties of parallelograms Understand the proof that the angle sum of a triangle is 180o
Understand the proof that the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices
Use angle properties of equilateral, isosceles and right-angled triangles
Use the angle sum of a quadrilateral is 360o
Measure and draw lines to the nearest mm
Measure and draw angles to the nearest degree
Use bearings to specify direction
Recall and use the eight points of the compass (N, NE, E, SE, S, SW, W, NW) and their equivalent three-figure bearings
Use three-figure bearings to specify direction
Mark points on a diagram given the bearing from another point
Draw a bearing between points on a map or scale drawing
Measure a bearing of a point from another given point
Work out a bearing of a point from another given point
Work out the bearing to return to a point, given the bearing to leave that point
Week 10/11 Properties of Polygons and circles
Recall the properties and definitions of special types of quadrilateral
Name a given shape
Identify a shape given its properties
List the properties of a given shape
Draw a sketch of a named shape identify quadrilaterals that have common properties
Classify quadrilaterals using common geometric properties
Recall the definition of a circle
Draw a circle given the radius or diameter
Identify, name and draw these parts of a circle: arc, tangent, segment, chord. Sector
Calculate and use the sums of interior angles of polygons
Use the angle sum of irregular polygons
Calculate and use the angles of regular polygons
Use the sum of the interior angles of an n-sided polygon
Use the sum of the exterior angles of any polygon is 360oUse interior angle + exterior angle = 180o Apply mathematical reasoning, explaining and justifying inferences and deductions
Show step-by-step deduction in solving a geometrical problem
State constraints and give starting points when making deductions
Week 11/12 Drawing and constructing shapes; Loci
Make accurate drawings of triangles and other 2D shapes using a ruler and protractor
Make an accurate scale drawing from a sketch, a diagram or a description
Use straight edge and a pair of compasses to do standard constructions
Construct a triangle
Construct an equilateral triangle with a given side
Construct a perpendicular bisector of a given line
Construct an angle bisector
Draw parallel lines
Draw circles or part circles given the radius or diameter
Construct diagrams of 2D shapes
Find loci, both by reasoning and by using ICT to produce shapes and paths
Construct a region, for example, bounded by a circle and an intersecting line
Construct loci, for example, given a fixed distance from a point and a fixed distance from a given line
Construct loci, for example, given equal distances from two points
Construct loci, for example, given equal distances from two line segments
Construct a region that is defined as, for example, less than a given distance or greater than a given distance from a point or line segment
Describe regions satisfying several conditions
Week 13 Indices, LCM, HCF and Prime factors
Recognise the notation √25 and know that when a square root is asked for only the positive value will be required; candidates are expected to know that a square root can be negative
Solve equations such as x2 = 25, giving both the positive and negative roots
Use the index laws for multiplication and division of integer powers
Write out lists of multiples and factors to identify common multiples or common factors of two or more integers
Write a number as the product of its prime factors and use formal and informal methods for identifying highest common factors (HCF) and lowest common multiples (LCM); abbreviations will not be used in examinations
Week 14/15 Mock Exams and Revision
Week 16/17 Holiday
Week 18/19 Ratio and Percentage
Understand the meaning of ratio notation
Interpret a ratio as a fraction
Simplify a ratio to its simplest form, a : b, where a and b are integers
Write a ratio in the form 1 : n or n : 1
Interpret a ratio in a way that enables the correct proportion of an amount to be calculatedUse ratio and proportion to solve word, statistical and number problems
Use direct proportion to solve problems
Calculate with percentages in a variety of contexts including statistics and probability
Calculate a percentage increase or decrease
Understand and use compound measures including area, volume and speed
Week 20 Scatter Graphs
Recognise and name positive, negative or no correlation as types of correlation
Recognise and name strong, moderate or weak correlation as strengths of correlation
Understand that just because a correlation exists, it does not necessarily mean that causality is present
Draw a line of best fit by eye for data with strong enough correlation, or know that a line of best fit is not justified due to the lack of correlation
Use a line of best fit to estimate unknown values when appropriateFind patterns in data that may lead to a conclusion being drawn
Look for unusual data values such as a value that does not fit an otherwise good correlation
Week 21/22/24 The Data handling Cycle and Grouped Data
Understand the Data handling cycle
Specifying the problem and planning
Collecting data
Processing and representing data
Interpreting and discussing the results.
Know the meaning of the term ‘hypothesis’
Write a hypothesis to investigate a given situation
Discuss all aspects of the data handling cycle within one situation
decide whether data is qualitative, discrete or continuous and use this decision to make sound judgements in choosing suitable diagrams for the data
Understand the difference between grouped and ungrouped data
Understand the advantages of grouping data and the drawbacks
Distinguish between data that is primary and secondary
understand how and why bias may arise in the collection of data
Offer ways of minimising bias for a data collection method
write or criticise questions and response sections for a questionnaire
Suggest how a simple experiment may be carried out
Have a basic understanding of how to collect survey dataUnderstand the data collection methods observation, controlled experiment, questionnaire, survey and data logging
Know where the different methods might be used and why a given method may or not be suitable in a given situation
Design and use data collection sheets for different types of data Find the mean for a discrete frequency distribution
Find the median for a discrete frequency distribution or stem-and-leaf diagram
Find the mode or modal class for frequency distributions
Find the range for a set of discrete data
Choose an appropriate measure according to the nature of the data to be the ‘average’
Compare two distributions by comparing the range and a suitable measure of average such as the mean or median
Tabulate ungrouped data into a grouped data distribution
Calculate an estimate of the mean for a grouped frequency distribution, knowing why it is an estimate
Find the interval containing the median for a grouped frequency distribution
Compare two diagrams in order to make decisions about an hypothesis
Compare two distributions in order to make decisions about an hypothesis by comparing the range and a suitable measure of average such as the mean or median.
Week 23 Holiday
Week 24/25 Inequalities
Set up simple linear equations to solve problems
Know the difference between < < > >Solve simple linear inequalities in one variable
Represent the solution set of an inequality on a number line, knowing the correct conventions of an open circle for a strict inequality and a closed circle for an included boundary
Week 26 Trial and Improvement
Use a calculator to identify integer values immediately above and below the solution, progressing to identifying values to 1 d.p. above and immediately above and below the solution
Week 27/28 Formulae and Algebraic Argument
Understand phrases such as ‘form an equation’, ‘use a formula’ and ‘write an expression’ when answering a question
Change the subject of a formula
Use algebraic expressions to support an argument or verify a statement
Week 28/29 Quadratic Graphs
Complete a table of values for a quadratic function of the form y = x2 + ax + bPlot points from a table of values for a quadratic function and join with a smooth curve
Understand that the solution of x2 + ax + b = 0 is the intersection of the graph with the x-axis.Interpret graphs showing real-life situations in geometry, such as the depth of waterin containers as they are filled at a steady rate Interpret non-linear graphs showing real-life situations, such as the height of a ball plotted against time
Find an approximate value of y for a given value of x or the approximate values of x for a given value of y
Week 30/31 Holiday
Week 32/33 Pythagoras Theorem
Understand, recall and use Pythagoras' theoremCalculate the length of a line segment
Week 33/34 Relative Frequency
Estimate probabilities by considering relative frequency
Understand and use the term relative frequency
Consider differences where they exist between the theoretical probability of an outcome and its relative frequency in a practical situation
Understand that experiments rarely give the same results when there is a random process involved
Appreciate the ‘lack of memory’ in a random situation, eg a fair coin is still equally likely to give heads or tails even after five heads in a row
Understand that the greater the number of trials in an experiment the more reliable the results are likely to be
Understand how a relative frequency diagram may show a settling down as sample size increases enabling an estimate of a probability to be reliably made; and that if an estimate of a probability is required, the relative frequency of the largest number of trials available should be used
Week 35/36/37 Revision
Week 38 Holiday
Week 39/40 Revision
Week 41/42 June Examinations
Work out the radius or diameter given the circumference of a circle
Work out the perimeter of semi-circles, quarter circles or other simple fractions of a circle
Recall and use the formula for the area of a circle
Work out the area of a circle, given the radius or diameter
Work out the radius or diameter given the area of a circle
Work out the area of semi-circles, quarter circles or other simple fractions of a circle
Recall and use the formula for the volume of a cuboid
Recall and use the formula for the volume of a cylinder
Use the formula for the volume of a prism
Work out the volume of a cube or cuboid
Work out the volume of a prism using the given formula, for example a triangular prism
Work out the volume of a cylinder
Use 2D representations of 3D shapes
Draw nets and show how they fold to make a 3D solid
Know the terms face, edge and vertex (vertices)
Identify and name common solids, for example cube, cuboid, prism, cylinder, pyramid, sphere and cone
Analyse 3D shapes through 2D projections and cross-sections, including plan and elevation
Understand and draw front and side elevations and plans of shapes made from simple solids, for example a solid made from small cubes
Understand and use isometric drawings
Week 3/4 Transformations
Recognise reflection symmetry of 2D shapes
Identify lines of symmetry on a shape or diagram
Draw lines of symmetry on a shape or diagram
Understand line symmetry
Draw or complete a diagram with a given number of lines of symmetry
Recognise rotational symmetry of 2D shapes
Identify the order of rotational symmetry on a shape or diagram
Draw or complete a diagram with rotational symmetry
Understand line symmetry
Identify and draw lines of symmetry on a Cartesian grid
Identify the order of rotational symmetry of shapes on a Cartesian grid
Draw or complete a diagram with rotational symmetry on a Cartesian grid
Describe and transform 2D shapes using single rotations
Understand that rotations are specified by a centre and an (anticlockwise) angle
Find a centre of rotation
Rotate a shape about the origin or any other point
Measure the angle of rotation using right angles
Measure the angle of rotation using simple fractions of a turn or degrees
Describe and transform 2D shapes using single reflections
Understand that reflections are specified by a mirror line
Identify the equation of a line of reflection
Describe and transform 2D shapes using single transformations
Understand that translations are specified by a distance and direction (using a vector)
Translate a given shape by a vector
Describe and transform 2D shapes using enlargements by a positive scale factor
Understand that an enlargement is specified by a centre and a scale factor
Enlarge a shape on a grid (centre not specified)
Draw an enlargement
Enlarge a shape using (0, 0) as the centre of enlargement
Enlarge shapes with a centre other than (0, 0)
Find the centre of enlargement
Describe and transform 2D shapes using combined rotations, reflections, translations, or enlargements
Distinguish properties that are preserved under particular transformations
Identify the scale factor of an enlargement of a shape as the ratio of the lengths of two corresponding sides
Understand that distances and angles are preserved under rotations, reflections and translations, so that any figure is congruent under any of these transformations
Describe a translation
Understand congruence
Identify shapes that are congruent
Recognise congruent shapes when rotated, reflected or in different orientations
Understand similarity
Identify shapes that are similar, including all squares, all circles or all regular polygons with equal number of sides
Recognise similar shapes when rotated, reflected or in different orientations
Understand the effect of enlargement on perimeter
Understand the effect of enlargement on areas of shapes
Understand the effect of enlargement on volumes of shapes and solids
Compare the areas or volumes of similar shapes
Understand and use vector notation for translations
Week 4/5/6 Algebraic Manipulation
Recognise that, for example, 5x + 1 = 16 is an equation
Recognise that, for example V = IR is a formula
Recognise that x + 3 is an expression
Write an expression
Understand that the transformation of algebraic expressions obeys and generalises the rules of generalised arithmetic
Multiply a single term over a bracket
Write expressions to solve problems
Write expressions using squares and cubes
Factorise algebraic expressions by taking out common factors
Set up simple linear equations
Rearrange simple equations
Solve simple linear equations by using inverse operations or by transforming both sides in the same way
Solve simple linear equations with integer coefficients where the unknown appears on one or both sides of the equation, or with brackets
Use formulae from Mathematics and other subjects expressed initially in words and then using letters and symbols; for example formula for area of a triangle, area of a parallelogram, area of a circle, wage earned = hours worked x hourly rate plus bonus, volume of a prism, conversions between measures
Substitute numbers into a formula
Use notations and symbols correctly
Understand that letter symbols represent definite unknown numbers in equations, defined quantities or variables in formulae, and in functions they define new expressions or quantities by referring to known quantities.Generate common integer sequences, including sequences of odd or even integers, squared integers, powers of 2, powers of 10 and triangular numbers g
Generate simple sequences derived from diagrams and complete a table of results describing the pattern shown by the diagrams
Work out an expression in terms of n for the nth term of a linear sequence by knowing that the common difference can be used to generate a formula for the nth term
Week 6/7 Coordinates and Linear Graphs
Read from graphs representing real-life situations; for example, the cost of a bill for so many units of gas or working out the number of units for a given cost, and also understand that the intercept of such a graph represents the fixed charge
Draw linear graphs with or without a table of values
Calculate the gradient of a given straight line using the y-step/x-step method
Interpret linear graphs representing real-life situations; for example, graphs representing financial situations (e.g. gas, electricity, water, mobile phone bills, council tax) with or without fixed charges, and also understand that the intercept represents the fixed charge or deposit
Plot and interpret distance-time graphs
Identify the correct equation of a real-life graph from a drawing of the graph
Plot points in all four quadrants
Find coordinates of points identified by geometrical information, for example the fourth vertex of a rectangle given the other three vertices
Find coordinates of a midpoint, for example on the diagonal of a rhombus
Interpret linear graphs from real-life situations; for example conversion graphs
Interpret linear graphs showing real-life situations in geometry, such as the depth of water in containers as they are filled at a steady rate
Interpret non-linear graphs showing real-life situations, such as the height of a ball plotted against time
Week 8 Holiday
Week 9 Angles and Bearings
Work out missing angles using properties of alternate angles and corresponding angles
Understand the consequent properties of parallelograms Understand the proof that the angle sum of a triangle is 180o
Understand the proof that the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices
Use angle properties of equilateral, isosceles and right-angled triangles
Use the angle sum of a quadrilateral is 360o
Measure and draw lines to the nearest mm
Measure and draw angles to the nearest degree
Use bearings to specify direction
Recall and use the eight points of the compass (N, NE, E, SE, S, SW, W, NW) and their equivalent three-figure bearings
Use three-figure bearings to specify direction
Mark points on a diagram given the bearing from another point
Draw a bearing between points on a map or scale drawing
Measure a bearing of a point from another given point
Work out a bearing of a point from another given point
Work out the bearing to return to a point, given the bearing to leave that point
Week 10/11 Properties of Polygons and circles
Recall the properties and definitions of special types of quadrilateral
Name a given shape
Identify a shape given its properties
List the properties of a given shape
Draw a sketch of a named shape identify quadrilaterals that have common properties
Classify quadrilaterals using common geometric properties
Recall the definition of a circle
Draw a circle given the radius or diameter
Identify, name and draw these parts of a circle: arc, tangent, segment, chord. Sector
Calculate and use the sums of interior angles of polygons
Use the angle sum of irregular polygons
Calculate and use the angles of regular polygons
Use the sum of the interior angles of an n-sided polygon
Use the sum of the exterior angles of any polygon is 360oUse interior angle + exterior angle = 180o Apply mathematical reasoning, explaining and justifying inferences and deductions
Show step-by-step deduction in solving a geometrical problem
State constraints and give starting points when making deductions
Week 11/12 Drawing and constructing shapes; Loci
Make accurate drawings of triangles and other 2D shapes using a ruler and protractor
Make an accurate scale drawing from a sketch, a diagram or a description
Use straight edge and a pair of compasses to do standard constructions
Construct a triangle
Construct an equilateral triangle with a given side
Construct a perpendicular bisector of a given line
Construct an angle bisector
Draw parallel lines
Draw circles or part circles given the radius or diameter
Construct diagrams of 2D shapes
Find loci, both by reasoning and by using ICT to produce shapes and paths
Construct a region, for example, bounded by a circle and an intersecting line
Construct loci, for example, given a fixed distance from a point and a fixed distance from a given line
Construct loci, for example, given equal distances from two points
Construct loci, for example, given equal distances from two line segments
Construct a region that is defined as, for example, less than a given distance or greater than a given distance from a point or line segment
Describe regions satisfying several conditions
Week 13 Indices, LCM, HCF and Prime factors
Recognise the notation √25 and know that when a square root is asked for only the positive value will be required; candidates are expected to know that a square root can be negative
Solve equations such as x2 = 25, giving both the positive and negative roots
Use the index laws for multiplication and division of integer powers
Write out lists of multiples and factors to identify common multiples or common factors of two or more integers
Write a number as the product of its prime factors and use formal and informal methods for identifying highest common factors (HCF) and lowest common multiples (LCM); abbreviations will not be used in examinations
Week 14/15 Mock Exams and Revision
Week 16/17 Holiday
Week 18/19 Ratio and Percentage
Understand the meaning of ratio notation
Interpret a ratio as a fraction
Simplify a ratio to its simplest form, a : b, where a and b are integers
Write a ratio in the form 1 : n or n : 1
Interpret a ratio in a way that enables the correct proportion of an amount to be calculatedUse ratio and proportion to solve word, statistical and number problems
Use direct proportion to solve problems
Calculate with percentages in a variety of contexts including statistics and probability
Calculate a percentage increase or decrease
Understand and use compound measures including area, volume and speed
Week 20 Scatter Graphs
Recognise and name positive, negative or no correlation as types of correlation
Recognise and name strong, moderate or weak correlation as strengths of correlation
Understand that just because a correlation exists, it does not necessarily mean that causality is present
Draw a line of best fit by eye for data with strong enough correlation, or know that a line of best fit is not justified due to the lack of correlation
Use a line of best fit to estimate unknown values when appropriateFind patterns in data that may lead to a conclusion being drawn
Look for unusual data values such as a value that does not fit an otherwise good correlation
Week 21/22/24 The Data handling Cycle and Grouped Data
Understand the Data handling cycle
Specifying the problem and planning
Collecting data
Processing and representing data
Interpreting and discussing the results.
Know the meaning of the term ‘hypothesis’
Write a hypothesis to investigate a given situation
Discuss all aspects of the data handling cycle within one situation
decide whether data is qualitative, discrete or continuous and use this decision to make sound judgements in choosing suitable diagrams for the data
Understand the difference between grouped and ungrouped data
Understand the advantages of grouping data and the drawbacks
Distinguish between data that is primary and secondary
understand how and why bias may arise in the collection of data
Offer ways of minimising bias for a data collection method
write or criticise questions and response sections for a questionnaire
Suggest how a simple experiment may be carried out
Have a basic understanding of how to collect survey dataUnderstand the data collection methods observation, controlled experiment, questionnaire, survey and data logging
Know where the different methods might be used and why a given method may or not be suitable in a given situation
Design and use data collection sheets for different types of data Find the mean for a discrete frequency distribution
Find the median for a discrete frequency distribution or stem-and-leaf diagram
Find the mode or modal class for frequency distributions
Find the range for a set of discrete data
Choose an appropriate measure according to the nature of the data to be the ‘average’
Compare two distributions by comparing the range and a suitable measure of average such as the mean or median
Tabulate ungrouped data into a grouped data distribution
Calculate an estimate of the mean for a grouped frequency distribution, knowing why it is an estimate
Find the interval containing the median for a grouped frequency distribution
Compare two diagrams in order to make decisions about an hypothesis
Compare two distributions in order to make decisions about an hypothesis by comparing the range and a suitable measure of average such as the mean or median.
Week 23 Holiday
Week 24/25 Inequalities
Set up simple linear equations to solve problems
Know the difference between < < > >Solve simple linear inequalities in one variable
Represent the solution set of an inequality on a number line, knowing the correct conventions of an open circle for a strict inequality and a closed circle for an included boundary
Week 26 Trial and Improvement
Use a calculator to identify integer values immediately above and below the solution, progressing to identifying values to 1 d.p. above and immediately above and below the solution
Week 27/28 Formulae and Algebraic Argument
Understand phrases such as ‘form an equation’, ‘use a formula’ and ‘write an expression’ when answering a question
Change the subject of a formula
Use algebraic expressions to support an argument or verify a statement
Week 28/29 Quadratic Graphs
Complete a table of values for a quadratic function of the form y = x2 + ax + bPlot points from a table of values for a quadratic function and join with a smooth curve
Understand that the solution of x2 + ax + b = 0 is the intersection of the graph with the x-axis.Interpret graphs showing real-life situations in geometry, such as the depth of waterin containers as they are filled at a steady rate Interpret non-linear graphs showing real-life situations, such as the height of a ball plotted against time
Find an approximate value of y for a given value of x or the approximate values of x for a given value of y
Week 30/31 Holiday
Week 32/33 Pythagoras Theorem
Understand, recall and use Pythagoras' theoremCalculate the length of a line segment
Week 33/34 Relative Frequency
Estimate probabilities by considering relative frequency
Understand and use the term relative frequency
Consider differences where they exist between the theoretical probability of an outcome and its relative frequency in a practical situation
Understand that experiments rarely give the same results when there is a random process involved
Appreciate the ‘lack of memory’ in a random situation, eg a fair coin is still equally likely to give heads or tails even after five heads in a row
Understand that the greater the number of trials in an experiment the more reliable the results are likely to be
Understand how a relative frequency diagram may show a settling down as sample size increases enabling an estimate of a probability to be reliably made; and that if an estimate of a probability is required, the relative frequency of the largest number of trials available should be used
Week 35/36/37 Revision
Week 38 Holiday
Week 39/40 Revision
Week 41/42 June Examinations
The two year modular programme looks something like the following
Note: The syllabii as set out above does assume that a lot of background/fundamental knowledge and skills has already been gained. Unfortunately for a lot of pupils at Broom Cottages this is not the case and the general flow of learning will often be interrupted by fairly intensive catch-up/revision sessions.
