Term planner

YEAR TERM PLANNER

Please select a year group:

FOUNDATION

Autumn 1

LWB

WSG

RWB

Autumn 2

LWB

WSG

RWB

Spring 1

LWB

WSG

RWB

Spring 2

LWB

WSG

RWB

Summer 1

LWB

WSG

RWB

Summer 2

LWB

WSG

RWB

HIGHER

Autumn 1

LWB

WSG

RWB

Autumn 2

LWB

WSG

RWB

Spring 1

LWB

WSG

RWB

Spring 2

LWB

WSG

RWB

Summer 1

LWB

WSG

RWB

Summer 2

LWB

WSG

RWB

MWB SKILLS LIST

Using a mouse, drag and drop

onto a tiered half term on the left:

ALGEBRA

ALGEBRA VOCABULARY AND UNDERSTANDING

What is it? (term, expression, equation, formula or identity?)

Is it an equation or an identity?

Product of two brackets equating coefficients (quadratics)

Equating coefficients (inc. factorising)

Equating coefficients (inc. completing the square)

Equating coefficients (inc. completing the square) - harder

ALGEBRAIC PROOF

Provide a counterexample to disprove a statement

Show a simple identity by expanding a linear expression is true

Show that an identity involving a product of two linear expressions is true

Show that an expression is even, odd, multiple of or factor of a number

Show that a harder expression is a even, odd, multiple of or factor of a number

SIMPLIFY AN EXPRESSION

Single variable addition and subtraction

Addition and subtraction of multiples of a single variable

Multiplying and dividing terms

Collecting two or more variables

Collecting two or more variables inc powers

Find the perimeter of a shape with linear expressions as the lengths of the sides

ALGEBRAIC FRACTIONS

Simplify

Add or subtract fractions

Simplify a fraction by factorising

Multiply or divide

Add or subtract fractions with linear denominator expressions

Solve algebraic fractional equations (integer solutions)

CHANGE THE SUBJECT

Rearrange in 1 step

Rearrange in 2 steps

Rearrange a formula involving a fraction

Rearrange a formula involving powers or roots

Rearrange common formula

Rearrange a formula where the subject appears more than once

IDENTIFY COORDINATES IN ALL 4 QUADRANTS

First quadrant only

First and second quadrant only

Third and fourth quadrants only

All quadrants

Identify a coordinate to complete a shape

Find the midpoint of a line between 2 points

FIND AND USE Y = A, X = A AND Y = X

State the equation from a graph

Sketch the graph from the equation (integer intercepts)

Sketch the graph from the equation (decimal intercepts)

Where does x = a and y = b meet?

Does the point lie on the line?

FIND Y = MX + C FROM A GRAPH

Find the y-intercept

Calculate the gradient where Δx is 1

Calculate a positive gradient where Δx is not 1

Calculate a negative gradient where Δx is not 1

Finding gradient from a graph

Finding y=mx+c from a graph

REARRANGING INTO THE FORM Y = MX + C

Interpret the gradient or y-intercept from y = mx + c

Rearrange ax + by = c into the form y = mx + c and interpret the gradient or y-intercept (integer values only)

Rearrange ax + by = c into y = mx + c and interpret the gradient or y-intercept

USING AND EXPLORING Y = MX + C

Complete a table of coordinate pairs (find y coordinates)

Complete a table of coordinate pairs (find x or y coordinates)

Find the y-intercept given the gradient and a coordinate

State the equation of a line given the gradient and a coordinate

Calculate the gradient given 2 coordinates

State the equation of a line given 2 coordinate pairs

FIND THE EQUATION OF A PARALLEL LINE

Given coordinates for two lines, determine if they are parallel

Write down the equation of a line parallel to y=mx+c

Given 2 linear equations, determine if they are parallel

Write the linear equation of a line parallel to y=mx+c that passes through (a,b)

Given the equation of a line and the horizontal distance between this and a parallel line, find the equation of the parallel line

FIND THE EQUATION OF A PERPENDICULAR LINE

Write the perpendicular gradient to a given gradient

Given two pairs of coordinates from two straight lines, determine if they are perpendicular

Write down a linear equation that is perpendicular to y=mx+c

Given 2 linear equations, prove they are perpendicular to eachother

Given 2 linear equations, determine if they are perpendicular

Write the linear equation of a line perpendicular to y=mx+c that passes through (a,b)

EQUATION OF A TANGENT TO A CIRCLE

Write the perpendicular gradient to a given gradient

State the gradient of a tangent given the gradient of the radius

Find the equation of the tangent given the equation of the radius and coordinates of tangent intersection with the radius on the circumference of the circle

Find the equation of the tangent given equation of circle and coordinates of the intersection with the tangent and the radius on the circumference of the circle

Find the equation of the tangent given the equation of the circle and the x-coordinate of the intersection with the tangent and the radius on the circumference of the circle

Problem solving - e.g. find the area bounded by the axes and the tangent to a circle

GRAPHICAL SOLUTIONS OF EQUATIONS

Use a graph to solve when x=a and y=b

Use a graph to solve when x=a/y=b and y=mx+c

Use a graph to solve when y=ax+b and y=cx+d

Use a graph to show why there no solution to two linear equations - they are parallel

Use a graph to solve when a quadratic and linear equation

QUADRATIC AND CUBIC FUNCTIONS

Complete a table of coordinate pairs for simple quadratics y=x^2 or cubics y=x^3

Complete a table of coordinate pairs for quadratics y=x^2+bx+c or cubics y=x^3 + bx^2 + d

Draw a quadratic y=ax^2+c or cubic y=ax^3 + cx function

Given a quadratic and cubic, identify the equation from a given graph

Given a quadratic or cubic graph, find x or y estimates from the graph

EQUATION OF A CIRCLE

State the radius or the coordinates of the centre point given the equation of a circle

Given the centre and radius state the equation of the circle

Draw a circle with specific equation

State the equation of a circle given its graph

Does a coordinate lie on the circle given the centre and radius of the circle

Problem solving - e.g. given the two points on the diameter of a circles circumference, find the equation of the circle with centre (0,0)

AREA UNDER A GRAPH

Draw a speed-time graph for a given scenario

Calculate the area under a speed-time graph (given that the graph is trapezium or rectangular in shape)

Calculate the y-axis scale given a speed-time graph and the area under the graph

Estimate the area under a graph (quadratic)

Given a curve, determine if the estimate for the area under the curve is an under or over estimate

Given a curve, calculate the area under the curve when it includes calculating negative areas (dependent on context)

RECIPROCAL FUNCTIONS

Complete a table of coordinate pairs given a domain of values

Draw an reciprocal function given the equation and domain

Given a reciprocal and exponential function, identify the equation of a given graph

Given a reciprocal graph, find x or y estimates from the graph

Identify asymptotes of a reciprocal function given its graph

EXPONENTIAL FUNCTIONS

Complete a table of coordinate pairs given a domain of values

Draw an exponential functio given the equation and domainn

Given a reciprocal and exponential function, identify the equation of a given graph

Given an exponential graph, find x or y estimates from the graph

Use a graph to solve exponential equations in the form a^x=b

TRIGONOMETRY GRAPHS

Given a trigonometry graph, identify whether it is the sin, cos and tan graph

Identify specific coordinates on a sin, cos or tan graph

Sketch y=sinx, y=cosx or y=tanx for a given domain

Using the graph of y=sinx, y=cosx or y=tanx and 1 solution to a given equation for the same function, find another solution using the graph

Given a solution to sinx=a, cosx=a or tanx=a, find another solution without the aid of a graph

SOLVE LINEAR EQUATIONS (UNKNOWN ON 1 SIDE, INT ANS)

Solve a 1 step equation by reversing the addition or subtraction of a constant

Solve a 1 step equation by reversing a multiplication or division of a constant

Solve a 2 step equation in the form ax+b=c where x has a positive coefficient

Solve a 2 step equation in the form ax+b=c where x has a negative coefficient

Solve a linear equation in the form a(x+b)=c

Problem solving

SOLVE LINEAR EQUATIONS (UNKNOWN ON 1 SIDE, DEC ANS)

Solve a 1 step equation by reversing the addition or subtraction of a constant

Solve a 1 step equation by reversing a multiplication or division of a constant

Solve a 2 step equation in the form ax+b=c where x has a positive coefficient

Solve a 2 step equation in the form ax+b=c where x has a negative coefficient

Solve a linear equation in the form a(x+b)=c

SOLVE LINEAR EQUATIONS (UNKNOWN BOTH SIDES)

Solve a linear equation with the unknown on both sides in the form ax=bx+c

Solve a linear equation with unknowns on both sides in the form ax+b=cx+d where x has positive coefficients

Solve a linear equation with unknowns on both sides in the form ax+b=cx+d where x has negative coefficients

Solve a linear equation with unknowns on both sides in the form a(x+b)=cx+d

Solve a 'I think of a number' problem where the unknown number appears on both sides of a linear equation

Problem solving, e.g. opposite sides of a rectangle are given as linear expressions and need to solve for an unknown

SOLVE LINEAR EQUATIONS WITH BRACKETS

Solve linear equation in the form a(x+b)=c

Solve an equation involving the collection of like terms when finding the sum or difference of two linear expressions involving brackets

Solve a linear equation in the form a(bx+c)=dx+e

Solve a linear equation in the form a(bx+c)=dx+e where the multiplier of the bracket is a unit fraction

Solve a linear equation involving the expansion of brackets on both sides of the equals sign

Solve a linear equation involving multiple expansion of brackets

SOLVE RATIONAL EQUATIONS

Solve a linear rational equation in the form ax/b=c

Solve a linear rational equation in the form (ax+b)/c=d

Solve a linear rational equation in the form (ax+b)/(cx+d)=e

Solve a linear equation with fractional expressions on each side of the equals

Solve a linear rational equation where you have the sum or difference of two fractional expressions

Solve a rational equation involving the sum or difference of two linear equations, that leads to solving a quadratic equation

EXPAND OVER A SINGLE BRACKET

Expand a(x+b)

Expand a(bx+c)

Expand x(x+a)

Expand ax(bx+c)

Expand the sum or difference of two linear brackets and simplify

Given a linear identity in the form a(bx+c)=dx+e, identify unknown values where 1 letter is not given on each side

EXPAND 2 OR MORE BINOMIALS

Expand (x + a)(x + b)

Expand (x±a)(x±b)

Expand (x+a)(x-a)

Expand (ax±b)(cx±d)

Expand the product of 2 quadratic or cubic expressions

Expand the product of 3 linear expressions

FACTORISE A SIMPLE EXPRESSION

Factorise linear expression ax±b

Factorise a quadratic expression ax^2±bx

Factorise a quadratic expression ax^2±bx with a expression common factor

Can a quadratic in the form ax^2±bx be factorised?

Problem solving, e.g. find the sides of a rectangle given a quadratic that represents the area

Fully factorise a linear expression by combining a sum of 2 terms where 1 is partially factorised

FACTORISE A QUADRATIC EXPRESSION

Factorise a quadratic resulting in (x + a)(x + b)

Factorise a quadratic resulting in (x + a)(x - b)

Factorise a quadratic resulting in (x - a)(x - b)

Factorise a quadratic resulting in (x + a)(x - a)

Factorise a quadratic resulting in (ax + b)(x + c)

Factorise a quadratic resulting in (ax + b)(c - dx) or (ax + b)(cx + d)

SOLVE A QUADRATIC BY FACTORISING

Solve a quadratic resulting in (x + a)(x + b)

Solve a quadratic resulting in (x + a)(x - b)

Solve a quadratic resulting in (x - a)(x - b)

Solve a quadratic resulting in (x + a)(x - a)

Solve a quadratic resulting in (ax + b)(x + c)

Solve a quadratic resulting in (ax + b)(c - dx) or (ax + b)(cx + d)

SOLVING QUADRATICS IN DISGUISE

Solve like a quadratic x^(2n)±bx^n+c where n>1

Solving like a quadatic involving a rearrangement e.g. x^(2n)=bx^n+c where n>1

Solve like a quadratic involving fractional powers e.g. x^(1/n)+bx^(1/2n)=c

Solve like a quadratic involving variable as a power

Solve like a quadratic involving trigonometric equations

COMPLETE THE SQUARE

Completing the square (x+a)^2+b where b>0

Completing the square (x+a)^2+b where b<0

Completing the square of x^2+bn+c where b is divisible by 2

Completing the square x^2+bn+c where b is not divisible by 2

Find the minimum point of a quadratic function by completing the square

Identify the translation of a function given it is based on f(x)=x^2

SOLVE A QUADRATIC BY COMPLETING THE SQUARE

Solve by completing the square given part of the working

Solve by completing the square of x^2+bn+c where b is divisible by 2

Solve by completing the square of x^2+bn+c where b is not divisible by 2

Solve by completing the square ax^2+bx+c where a>0

Solve by completing the square ax^2+bx+c

SOLVE A QUADRATIC BY USING THE FORMULA

Substituting positive numbers into the quadratic formula

Substituting any numbers into the quadratic formula

Given that numbers were correctly substituted into the quadratic formula state the quadratic equation

Use of the discriminant to show how many roots a quadratic has

Solve a quadratic using the quadratic formula

GRAPH TRANSFORMATIONS

Describe a quadratic graph transformation in words

Describe the effect of a transformation on a single point on a quadratic function

Given f(x)=x^2, state the equation of a transformation of f(x)

Given the transformed function of f(x)=x^2, draw it alongside f(x)

Describe the effect of a transformation on a single point on a trig graph

Draw/Identify a trig graph transformation

USE SIMPLE FUNCTION MACHINES

Substitute an input value into a single operation function machine

Substitute an input value into a 2 operation function machine

Find the input value of a 2 operation function machine given the output

Calculate the missing operation in a 2 operation function machine given the input and output values

Write an expression to represent the output of a 2 operation function machine given the input is x

Calculate the missing operation of a 2 operation function machine given the input is x and the output is in the form ax+b

IDENTIFY DOMAIN AND RANGE

Identify the range of f(x)=ax given the domain

Find the corresponding domain or range values given f(x)=ax

Find the range of f(x)=ax+b

Find the corresponding domain or range values given f(x)=ax+b

Find the domain of f(x)=ax+b given a range in set notation

Find the values of f(x) for which is it is undefined

USE COMPOSITE FUNCTIONS

Find gf(x) or fg(x) for a given value knowing that f(x)=ax and g(x)=x+b

Find gf(x) or fg(x) for a given value knowing that f(x)=ax+b and g(x)=cx+d

Find gf(x) or fg(x) for a given value knowing that f(x)=ax+b and g(x)=x^2+c

Find fg(x) for a given value knowing that f(x)=ax^2+bx+c and g(x)=dx+e

Problem solving e.g. find fg(x)=gf(x) where f(x)=x^2+bx+c and g(x)=x+d

ITERATIONS

Given a1 and a(n+1)=ba(n)+c, find a2

Given a1 and a(n+1)=ba(n)+c, find a3 or a4

Real world problem where an iterative formula and a0 is given

Given x0 and an iterative formula derived from a rearranged cubic, find x3

Show that a cubic equation can be rearranged to a given iterative form

Show that a cubic equation as a solution between a given ratio

INVERSE FUNCTIONS

Rearrange a function involving only 1 operation (addition, subtraction, multiplication or division)

Rearrange a function involving 2 operations

Rearrange a function that is fractional

Rearrange a function involving powers

Rearrange a quadratic function that first involves completing the square

READ/REPRESENT INEQUALITIES ON A NUMBER LINE

Interpreting a not equal to representation from a number line

Interpreting an equal to representation from a number line

Interpret any inequality from a number line

Represent a given inequality on a number line

Interpret a compound inequality from a number line

Represent a compound inequality on a number line

SOLVE LINEAR INEQUALITIES

Solve a 1 step inequality by reversing the addition or subtraction of a constant

Solve a 1 step inequality by reversing the multiplication or division of a constant

Solve a 2 step inequality where x has a positive coefficient

Solve a 1 step inequality where x has a negative coefficient

Solve a 2 step inequality where x has a negative coefficient

Solve a compound inequality in the form of a

GRAPHICAL INEQUALITIES

Identify the single linear inequality from a graph in the form xb, yd, x≤e, x≥f, y≤g or y≥h

Sketch the single linear inequality on a graph in the form xb, yd, x≤e, x≥f, y≤g or y≥h

Given a graph, identify the 4 inequalities that bound a rectangular region using xb, yd, x≤e, x≥f, y≤g or y≥h

Identify the 3 inequalities that bound a given region including y-x>a

State the coordinates of points that satisfy a given region bounded by 3 inequalities

SOLVE QUADRATIC INEQUALITIES

Graphically solve a quadratic inequality in the form x^2±a<0 or x^2±a>0

Graphically solve a quadratic inequality in the form x^2±a≤0 or x^2±a≥0

Solve a quadratic inequality x^2±a<0, x^2±a>0, x^2±a≤0 or x^2±a≥0

Solve a quadratic inequality x^2±bx±c<0, x^2±bx±c>0, x^2±bx±c≤0 or x^2±bx±c≥0

Solve a quadratic inequality ax^2±bx±c<0, ax^2±bx±c>0, ax^2±bx±c≤0 or ax^2±bx±c≥0

Solve a quadratic inequality (where a is not 1) that first involves a rearrangement

RECOGNISE COMMON SEQUENCES

Continue an arithmetic sequence for the next two terms

Continue a geometric sequence for the next two terms

Continue a square or triangular sequence for the next two terms

Continue a Fibonacci sequence for the next two terms

Continue a periodic sequence for the next two terms

Continue a fractional sequence for the next two terms where the numerators and denominators each follow a linear sequence

UNDERSTAND LINEAR SEQUENCES

Continue a linear sequence for the next two terms

Given the first and last term in a small linear sequence, find the missing middle values

Write the first 4 terms of a linear sequence given the nth term rule

Find the nth term rule for a linear sequence

Given a number and the first 4 terms of a linear sequence, determine if the number is part of the sequence

Given 2nd and 4th term of a linear sequence find 100th term

UNDERSTAND GEOMETRIC SEQUENCES

Determine if a given sequence is geometric, if not, state the name of the sequence family

Find the next 2 terms of a geometric sequence (integer common ratio)

Find the next 2 terms of a geometric sequence (decimal common ratio)

Given the first term and common ratio, find the first 3 terms of a geometric sequence

Given an algebraic term to term rule and the first term, find a specific term in a geometric sequence

Problem solving, e.g. given the 2nd and 4th term of a geometric sequence, find the 10th term

ALGEBRAIC SEQUENCES

Continue an algebraic sequence that is based on an arithmetic or Fibonacci sequence

Continue an algebraic sequence that is based on a geometric sequence

Show that the sixth term of an algebraic sequence is a given expression

Find the nth term of an arithmetic algebraic sequence

Given the value of 2 terms and the first 3 terms of an arithmetic algebraic sequence, find the unknowns in the sequence

UNDERSTAND QUADRATIC SEQUENCES

Continue a quadratic sequence for the next two terms

Write the first 4 terms a quadratic sequence given the nth term rule in the form of n^2+bn+c

Find the nth term rule of a quadratic sequence based on an^2

Find the nth term rule of a quadratic sequence based on n^2+bn+c

Find the nth term rule of a quadratic sequence based on an^2+bn+c

Use the nth term rule of a quadratic sequence based on an^2+bn+c to find a specific term

SOLVE LINEAR SIMULTANEOUS EQUATIONS

Solve 2 simultaneous equations where a term in each equation has a common coefficient

Solve 2 simultaneous equations where a term in each equation has a common term but a different sign

Solve 2 simultaneous equations where all coefficients are different

Solve a word problem that involves the creation and solving of 2 simultaneous equations

Solve 2 simultaneous equations that first involves rearranging one or both of the 2 given equations

Form and solve 2 simultaneous equations in other Maths topics

SOLVE NON LINEAR SIMULTANEOUS EQUATIONS

Simultaneously solve a quadratic in the form of y=x^2 and a linear equation in the form y=ax+b

Simultaneously solve a quadratic in the form of y=x^2±bx±c and a linear equation in the form y=ax+b

Simultaneously solve a reciprocal equation in the form of xy=±c and a linear equation in the form y=ax+b

Simultaneously solve a circle equation in the form of x^2+y^2=c and a linear equation in the form x+y=c (integer answers only)

Simultaneously solve a circle equation in the form of x^2+y^2=c and a linear equation in the form x+y=c

SUBSTITUTE INTO EXPRESSIONS/FORMULA

Substitute a positive value into an expression that includes only 1 operation

Substitute a positive value into an expression that includes 2 operations

Substitute negative values into an expression involving 2 variables

Substitute values into a simple quadratic expression

Substitute values into common formulae

Substitute values into a linear function f(x)

FORM EXPRESSIONS AND EQUATIONS

Create a simple expression in the form x±a or ax based on a word problem

Create an expression to represent a word problem based I think of a number

Create a rational expression to represent a word problem based I think of a number

Create an expression based on a word problem, e.g. find the sum of 3 algebraic ages

Form and solve an equation with unknowns on both sides

Create a formula to represent the perimeter of a shape

GEOMETRY

READING TIME AND TABLES

Reading a clock face (12hr format) (15mins, 30mins or 45mins past)

Reading a clock face (12hr format)

Converting a pm time into 24hr format

Interpret a bus time table

Calculating a journey time from a bus time table

Given a department time and length of journey, will I be late for an appointment?

READING SCALES

Reading a scale with integer increments

Reading a scale with integer increments with labels for every other marker on the scale

Reading a scale with 0.5 increments and labels on the integer markers

Reading a scale with a large gaps between labelled markers

Reading a scale with only 2 values given on the scale

Reading a scale with decimal increments

MEASURING/DRAWING ANGLES

Identify the angle type (e.g. acute, obtuse, right-angle or reflex)

Measuring acute/90°/obtuse angles using a protractor

Given that a student has incorrectly interpretted their protractor, identify the number bond to 180°

Measure acute/90°/obtuse angles

Measure a reflex angle

Draw a reflex angle

CONSTRUCTIONS/LOCI

Construct a scalene triangle using loci constructions

Construct an equilateral/isosceles triangle using loci constructions

Construct an angle bisector using loci constructions

Construct a perpendicular bisector using loci constructions

Construct a perpendicular line from a point using loci constructions

Real life loci problem solving

PLANS AND ELEVATIONS

Identify the number of cubes needed to make a solid shape

Draw the plan, front and side elevations for a solid shape

Sketch a solid shape on isometric paper given the plan, front and side elevation

Draw the plan, front and side elevations for trickier 3D solids

Sketch a tricky 3D solid given the plan, front and side elevation

Identify a solid shape from a word description of the plan, front and side elevations

90°, 180°, AND 360° ANGLES

Calculate an unknown angle on a straight line

Use the vertically opposite angles property to find an unknown angle

Calculate an angle using the fact that a right angle is 90°

Calculate an unknown angle using the fact angles around a point sum to 360°

Given 3 algebraic expressions to represent angles, solve the equation formed using appropriate angle facts

ANGLES IN TRIANGLES

Name a given triangle

Calculate an unknown angle in a triangle

Calculate an unknown angle in an equilateral triangle

Calculate an unknown angle in a right angle triangle

Calculate an unknown angle in an isosceles triangle

Calculate an unknown angle in 2 adjoining triangles

ANGLES IN QUADRILATERALS

Name a given quadrilateral

Calculate an unknown angle in a quadrilateral

Calculate an unknown angle in a quadrilateral where one angle is 90°

Calculate an unknown exterior angle given 3 interior angles

Calculate an unknown angle in special quadrilaterals

Given algebraic expressions to represent the angles in a quadrilateral, form an equation and solve it

ANGLES ON PARALLEL LINES

Revision of all angle types

Application of both angles on parallel lines and angles on a straight line

Form and solve an equation given two expressions that represent 2 angles on parallel lines

Solve unknown angles in geometrical shapes using angles on parallel lines

ANGLES IN POLYGONS

Find the interior angle sum of a polygon

Find a missing angle in a n-sided polygon given all but 1 angle

Will it regular n-sided polygon tesselate?

Use an exterior angle of a regular n-sided polygon to calculate the number of sides

Use an interior angle of a regular n-sided polygon to calculate the number of sides

Problem solving

BEARINGS

Measure an angle

Measure a bearing

Calculate a return bearing from a diagram

Solve a word problem involving the calculation of a return bearing

Given a bearing that has been read incorrectly, calculate the correct bearing

Real life scaled drawings involving the construction of multiple bearings

ROTATIONS

State the order of rotational symmetry

Rotate a shape about the origin

Describe the transformation about the origin

Rotate a shape about a point

Describe the transformation about a point

REFLECTIONS

State the number of lines of symmetry

Draw the mirror line x=a/y=a mirror for a given reflection

Reflect a given shape in x=a/y=a

Reflect a shape in x=a/y=a

Reflect a shape in given y=x/y=-x

Describe the rotation transformation

TRANSLATIONS

Describe a translation in words

Draw a horizontal/vertical translation

Describe a horizontal/vertical translation

Drawing any vector translation

Describe a vector translation

Given the vectors of A to B and B to C, state the vector C to A

ENLARGEMENTS

Enlarge a shape (without centre of enlargement)

Finding a scale factor given 2 similar shapes (positive or fractional)

Enlarge a shape from a centre of enlargement

Describe an enlargement given 2 similar shapes on a set of axes

Enlarge a shape by a fractional scale factor

Enlarge a shape by a negative scale factor

AREA/VOLUME SCALE FACTORS

Find the area of an enlarged 2D shape

Find the volume of an enlarged 3D shape

Find the area of the original 2D shape

Find the volume of the original 3D shape

Find a side length given the areas of the original and enlarged shape

Find a side length given the volumes of the original and enlarged 3D shapes

CONGRUENCE

Are two given shapes congruent?

Knowing two shapes are congruent, find an unknown side or angle

State the condition of congruence shown by 2 shapes

Prove two shapes are congruent

SIMILAR SHAPES

Are two given shapes similar?

Knowing two shapes are similar, find an unknown side length (orientation exercise)

Use a scale factor to find an unknown side

Use a scale factor to find an unknown side (harder)

Use Pythagoras theorem to find an unknown side given 2 similar shapes

NAMES AND PROPERTIES OF POLYGONS

Given a 2D shape, identify the polygon family

Name a regular shape given its geometrical properties

Given a basic 4 sided shape, name the quadrilateral

Name a quadrilateral given its geometrical properties

AREA OF 2D SHAPES

Calculate the area of a shape by counting squares

Calculate the area of a triangle or rectangle

Calculate the area of a parallelogram

Calculate the area of a trapezium

Calculate the area of a regular hexagon

Given 2 shapes and the fact their areas are equal, calculate a missing length in 1 of the shapes

REVERSE AREA OF 2D SHAPES

Given the area of a rectangle, calculate an unknown side length

Given the area of a triangle, calculate an unknown side length

Given the area of a parallelogram, calculate an unknown side length

Given the area of a trapezium, calculate an unknown side length

Given 2 shapes and the fact their areas are equal, calculate a missing length in 1 of the shapes

Given that a length is a multiple of another in a basic 2D shape and the area, calculate the unknown length

ALGEBRAIC AREA OF 2D SHAPES

Calculate the area of a rectangle with simple terms to represent the sides

Calculate the area of a rectangle where the sides are expressions

Given an expression to represent the area of a rectangle and 1 integer side, write the expression for the other side

Find the area of a rectangle with expressions for both sides

Find the area of shaded region with a cut out made from rectangles

Calculate the area of simple compound shape with algebraic sides

AREA OF COMPOSITE SHAPES

Calculate the area of a compound shape made from combining 2 rectangles

Calculate the area of a compound shape made from combining 2 triangles

Calculate the area of a compound shape made from combining a triangle and a rectangle

Calculate the area of a compound shape made from combining a triangle and a semi circle

Calculate the shaded area of a compound shape made from removing a rectangle from another rectangle

Calculate the shaded area of a compound shape made from removing a circle from a square

PERIMETER OF 2D SHAPES

Calculate the perimeter of a rectangle by counting squares

Calculate the perimeter of a given square, rectangle or triangle

Calculate the perimeter of a simple compound shape made from rectangles

Calculate the perimeter of a rhombus

Form an expression to represent the perimeter of a rectangle with algebraic side lengths

Calculate the perimeter of a half or quarter of a circle

PARTS OF A CIRCLE

Identify which line within a circle is the diameter

Find the radius or diameter given the other

Name the given part of a circle

Draw the named part of a circle

CIRCUMFERENCE OF A CIRCLE

Calculate the circumference given the diameter

Calculate the circumference given the radius

Calculate the diameter given the circumference

Calculate the perimeter of a quarter or half circle

Calculate the perimeter of a sector or the arc length

Calculate the angle of a sector given the perimeter

AREA OF A CIRCLE

Calculate the area of a circle given the radius

Calculate the area of a circle given the diameter

Calculate the radius of a circle given its area

Calculate the area of a quarter or semi circle

Calculate the area of a sector

Calculate the angle of a sector given its area

CIRCLE THEOREMS

Calculate an unknown angle using the angles in a semi-circle theorem

Calculate an unknown angle using the angles in the cyclic quadrilateral property

Calculate an unknown angle using the angle at the center is twice the angle on the circumference theorem or angles in the same segment theorem

Calculate an unknown angle using the alternate segment theorem

Calculate an unknown angle using circle theorems that are tricky to spot

Form and solve an equation based on algebraic angles linked by circle theorems

APPLY PYTHAGORAS' THEOREM

Calculate the hypotenuse of a right angled triangle

Calculate a shorter side of a right angled triangle

Use Pythagoras theorem for right angled triangles

Apply Pythagoras theorem in non-right angle triangles

Calculate the distance between 2 coordinates

Apply Pythagoras theorem in 3D

APPLY SOH CAH TOA

Finding a length given an approximate trig value in a right-angled triangle

Apply SOH CAH TOA to calculate a side in a right-angled triangle

Apply SOH CAH TOA to calculate an angle in a right-angled triangle

Apply SOH CAH TOA in an isosceles or equilateral triangle or quadrilateral

Apply SOH CAH TOA multiple times in a multi-step problem

Apply SOH CAH TOA in a 3D problem

SINE AND COSINE RULES

Label the angles and sides of triangle ABC ready to apply the sine or cosine rule

Using the sine rule to find a side or angle

Using the cosine rule to find a side

Using the cosine rule to find an angle

Apply either the sine or cosine rule in a problem

Apply both the sine and cosine rule in a multi-step problem

AREA OF A TRIANGLE (TRIGONOMETRY)

Label the angles and sides of triangle ABC ready to apply the sine or cosine rule

Evaluate the correct use of the formula on a calculator

Calculate the area of a non-right angled triangle using 0.5absinC

Find a side of a non-right angled triangle given the area, the angle and the length of the adjacent side

Find an angle of a non-right angled triangle given the area and two adjacent sides

Apply the area formula to find an unknown value that assists with then using the cosine rule in a multi-step problem

TRIGONOMETRY EXACT VALUES

Reading exact values from either a right-angled triangle or a right-angled isosceles triangle

Recalling exact values of sin, cos or tan

Find the sum of exact sin, cos or tan values

SOH CAH TOA application of exact values

Identify alternate exact values of angles greater than 90

Apply exact values within a cosine rule problem

SURFACE AREA OF 3D SHAPES

Give the name of a common 3D shape given a diagram or description

Surface area of a cube or cuboid

Surface area of a cylinder or triangular prism

Surface area of a cone or sphere

Calculate a missing length given the surface area of a sphere, cylinder or cuboid

VOLUME OF 3D SHAPES

Give the name of a common 3D shape given a diagram or description

Calculate the volume of a cuboid

Calculate the length of an edge of a cube or of a cuboid given its volume

Calculate the volume of a cylinder or triangular prism

Calculate a missing length in a cylinder or triangular prism given the volume

Calculate the most items you can fit in a container

VOLUME OF COMPLEX 3D SHAPES

Give the name of a common 3D shape given a diagram or description

Calculate the volume of a cone or sphere or square based pyramid

Calculate a missing length given the volume of a cone or sphere or square based pyramid

Calculate the volume of a hemi sphere or frustum

Calculate a missing length given the volume of a frustum

LEAVE YOUR ANSWER IN EXACT FORM

Calculate the area or circumference of a circle in terms of pi

Calculate the area or arc length of a sector in terms of pi

Calculate the longest or shortest side using Pythagoras leaving the answer in surd form

Calculate the volume of a cone, sphere or cylinder in terms of pi

Find the sum of exact sin, cos or tan values

Evaluate a value raised to a fractional power leaving the answer in surd form

VECTORS

Interpret a vector

Draw a vector

Perform vector arithmetic

Determine the resultant vector given 2 vectors in a geometry problem

Determine the resultant vector given 2 vectors in a geometry problem involving midpoints of a vector

Determine the resultant vector given 2 vectors in a geometry problem involving ratio of a vector

NUMBER

FACEBOOK MATHS

A look repetitive question involving the same number but different operations that focuses on the use of BIDMAS

Solving simultaneous equations but depicted as fruit

Order of operation circles

PLACE VALUE

Interpret the blocks

Read the place value of a digit in a given integer

100/10/1 more or less than a specific number

Read the place value of a digit within a given decimal

Convert a number described in words into a numerical form

Convert numbers into words

TIMES TABLES

2, 5 and 10 times tables

First half of 3 and 4 times tables

Second half of 3 and 4 times tables

6 and first half of 8 times tables

Second half of 8 times tables

7, 9, 11 and 12 times tables

COMMUTATIVE, ASSOCIATIVE AND DISTRIBUTIVE LAWS

Commutative law involving only addition or multiplication

Commutative law involving a combination of addition and multiplication

Associative law

Distributive law

Identify which number law is being shown

Evaluate calculations based on the use of the number laws

RELATED CALCULATIONS

Given a calculation, evaluate a simple rearrangement of the same calculation

Given a calculation, evaluate a rearrangement of the same calculation with the numbers having been changed by multiplying or dividing by positive powers of 10

Given a calculation, evaluate a rearrangement of the same calculation with a number having been multiplied or divided by a negative power of 10

Given a calculation, evaluate a rearrangement of the same calculation with both numbers having been multiplied or divided by a negative power of 10

FACTORS AND MULTIPLES

Write down all the factors of a number

Write down the first 5 multiples of a number

Find a common factor of 2 numbers

Find the HCF or LCM of 2 numbers

Find the HCF or LCM of 3 numbers

Find a second number given 1 number and their LCM

PRIME FACTORS

Write down a specific prime number

Calculate a number from a product of its prime factors

Write a number as product of its prime factors

Finish an incomplete product of prime factors

Find the LCM or HCF of 2 numbers

Problem solving, e.g. given a number written as a product of its prime factors, find a multiple of this number written as prime factors

ORDER OF OPERATIONS

Evaluate a simple calculation involving a combination of addition, subtraction, multiplication or division

Evaluate a calculation involving brackets

Evaluate a calculation involving brackets and powers

Find the value of a multi-step calculation involving the application of all parts of BIDMAS

Find the value of a fractional calculation with steps to evaluate in both the numerator and denominator

Insert brackets into a calculation to make it true

INTERPRET FRACTIONS

Identify the unit fraction from a given diagram

Shade a unit fraction of a diagram

Read simple fractions from a diagram

Represent simple fractions on a diagram

Understanding equivalences from shaded rows or columns of a diagram

Read a given diagram as a mixed number

EQUIVALENT FRACTIONS

Simplify a fraction given the denominator of the simplified fraction

Simplify a fraction

Compare 2 fractions using an equals or inequalities

Would you rather have this ... or this ...?

Find half way between 2 fractions

Convert to and from a mixed number

RECIPROCALS OF NUMBERS

Given an integer, provide the reciprocal so the product equals 1

Reciprocal of integers

Reciprocal of fractions

Reciprocal of decimals < 1

Reciprocal of fractions or decimals > 1

Equivalent fraction fill in the blank reciprocals

ADD OR SUBTRACT FRACTIONS

What fraction is needed to complete a diagram?

Two fractions with common denominators

Two fractions with different denominators

Combination of adding and subtracting 3 fractions

Mixed numbers

Simple algebraic fractions

WRITE ONE NUMBER AS A FRACTION OF ANOTHER

Write the amount shaded as a fraction of the total

Write one number as a fraction of another

Understanding complements when finding a fraction of an amount

Write one measurement as a fraction of another when they are given with different units

Given a total and the quantities of two of the three items in the total, write the third as fraction of the total

Equivalent fraction problem

FRACTION OF AN AMOUNT (PART I)

Multiply a fraction by an integer

Multiply a fraction by a fraction

Find a fraction of an amount

Which of two fraction of amounts statements is larger?

Word problem involving expenditure

Fraction of one amount is equal to fraction of unknown, find the unknown

FRACTION OF AN AMOUNT (PART II)

Unit fraction of an amount

Non-unit fraction of an amount

Mixed number of an amount

Increase or decrease by a fraction

Word problems

Fraction between 2 numbers

MULTIPLY OR DIVIDE FRACTIONS

Given an integer, provide the reciprocal so the product equals 1

Integer by a fraction

2 fractions

3 fractions

Mixed numbers

Simple algebraic fractions

FDP CONVERSION

Convert between common FDP

Convert between FDP

Are 2 numbers written in different number formats (FDP) equal?

Order FDP

Convert a recurring decimal to a fraction where the recurring digit is the first decimal place

Convert a recurring decimal to a fraction (harder)

ORDER NUMBERS

Order positive integers

Order positives and negatives

Order decimals

Order FDP

Order fractions

Order numbers written in standard form

EFFICIENT USE OF A CALCULATOR

Calculator familiarisation - identify what function a button has on a calculator

Enter BIDMAS related calculations on a calculator

Identify whether a number is prime on a calculator

Evaluate a given expression by substituting in both positive and negative values

Evaluate a calculation invovling standard form on a calculator

Perform fraction calculations on a calculator

OPERATE WITH INTEGERS (+ AND -)

Numbers bonds to 10 or 100

Alternative vocabulary for addition or subtraction

1 digit integer ± 1 digit integer

2 digit integer ± 2 digit integer

3 digit integer ± 2 digit integer

Directed number calculations

OPERATE WITH INTEGERS (X AND ÷)

Times tables

Alternate vocabulary to multiplication or division

2 digit integer x÷ 1 digit integer

3 digit integer x÷ 2 digit integer

Directed numbers calculations

COLUMN MULTIPLICATION

2 digit integer x 1 digit integer

2 digit integer x 2 digit integer

3 digit integer x 2 digit integer

Identify the last digit of a multiplication answer

Fill in the missing number of 3 digit integer x 2 digit integer calculation given all the working

3 digit integer x 3 digit integer

SHORT DIVISION

Inverse times tables

Division by integer with integer answer

Complete the short division calculation using the bus stop method

Division by integer with decimal answer

Dividing decimal by integer

Dividing an integer by a decimal

PRODUCT RULE FOR COUNTING

Product of 3 or 4 numbers

Simple product rule for counting

Given the final product, find how many of one type there are

Pin related problems

OPERATE WITH DECIMALS (+ AND -)

Decimal (1dp) ± integer

Integer ± decimal (1dp)

Decimal (1dp) ± decimal (1dp) both less than 1

Decimal (1dp) ± decimal (1dp) both more than 1

Decimal ± Decimal (2 or more dp)

Recurring decimal ± decimal

OPERATE WITH DECIMALS (X AND ÷)

Decimal (1dp) multiplied by a power of 10

Decimal (1dp) divided by a power of 10

Decimal (1dp) x÷ integer

Decimal x÷ decimal (both 1 or 2 dp)

Decimal x÷ decimal (2 or more dp)

Contextualised use of x÷ with decimals

MONEY PROBLEMS

Given a shopping list of prices, calculate the cost of buying 1 each of two items

Given a shopping list of prices, calculate the cost of buying multiple items

Given a shopping list of prices, calculate the cost of buying multiple items with different units of money, e.g. £ and p

Given a shopping list, calculate the change due from making a multi item purchase

Given a shopping list, calculate how many can I buy of 1 item?

What proportion of the total cost of purchasing multiple items doe 1 item represent?

MONEY PROBLEMS - PAYMENT PLANS

How much do I pay each month? (No deposit)

How much do I pay each month? (With deposit)

Given 2 offers from different shops, is it better value to buy now or spread the payments?

Deposit with equal payments and one-off interest

PAY SLIPS

Calculating gross pay

Calculating gross pay inc overtime

Calculating the total deductions or net pay

Calculate the monthly tax for a basic rate tax earner given the 20% and personal tax free allowance thresholds

Calculate the monthly tax for a high income earner given the tax free personal allowance, 20% tax and 40% tax thresholds

Calculate National Insurance given annual salary and personal tax free threshold

PERCENTAGE OF AN AMOUNT

Percentage to find is a multiple of 10

Percentage to find is a multiple of 5 (exc multiples of 10)

Percentage to find is a multiple of 1

Calculator use

Percentage to find is a multiple of 0.5

Populate and interpret a two-way table based on percentages of a population

PERCENTAGE CHANGE

Recognise that percentage is out of 100

Write one number as a percentage of another (out of 100)

Write one number as a percentage of another (not out of 100)

Find a simple percentage change

Contextualised percentage change

Percentage change from a compound interest problem

INCREASE/DECREASE BY A PERCENTAGE

Increase/decrease by a percentage where the percentage is a multiple of 10

Increase/decrease by a percentage where the percentage is a multiple of 5 (exc multiples of 10)

Increase/decrease by a percentage where the percentage is a multiple of 1

Increase/decrease by a percentage where the percentage is a multiple of 0.5

Effect of using a decimal multiplier on a number

Explain why a x% increase followed by an x% decrease does not give the original number

REVERSE PERCENTAGE

What percentage is left after increasing or decreasing a number by a percentage

Effect of using a decimal multiplier on a number

Simple reverse percentage

Reverse percentage based on compound interest/decay

SIMPLE INTEREST

Interest earned after 1 year

Total after n years (where % is an integer)

Total after n years (where % is not integer)

Total after n years (where % is less than 1)

Calculate the interest rate given the total and the number of years

Problem solving

CALCULATE GROWTH/DECAY

Effect of using a decimal multiplier on a number

Growth/decay percentage is an integer

Growth/decay percentage is a decimal (1dp)

Find the number of years to exceed a given amount

Find the percentage growth/decay

STUDENT LOANS

Calculate 9% of a annual salary

Calculate the amount deducted from an annual salary or monthly repayment

Calculate how many months it will take to repay the student loan

Calculate the amount of student loan is left to repay after n years

ANNUAL EQUIVALENT RATE

Compound interest

Calculate AER

Calculate how much would be in an account

Which is better value?

Backwards AER questions

ESTIMATION

Estimate the product of a decimal and integer

Estimate money total

Estimate a decimal divided by a decimal (greater than 1)

Estimate a decimal divided by a decimal (less than 1)

Estimate square roots/cube roots

Estimate the value of longer BIDMAS related calculations

FERMI

Estimate key facts that relate to general knowledge fermi questions

Key conversion questions e.g. time units, measures of length, speed/distance/time

Short Fermi questions

TRUNCATION

Truncate to 10, 100 or 1000

Truncate to dp or sf

Error interval when truncated to 10, 100 or 1000

Error interval when truncated to dp or sf

Caculate the error interval relating to a contextualised word problem

BASIC RULES OF ROUNDING (INC DP AND BOUNDS)

Round to the nearest 100

Round to the nearest 10

Round to the nearest integer

Round to 1dp

Round to 2dp

Calculate the bounds/error interval

ROUND TO SPECIFIC SF (INC BOUNDS)

Integer rounding to 1 significant figure

Integer rounding to 2 significant figures

Decimal rounding to the nearest 1 significant figure

Decimal rounding to the nearest 2 significant figures

Decimal rounding to the nearest 2 significant figures (where 2nd significant figure is 0)

Calculate the bounds/error interval

UPPER AND LOWER BOUND CALCULATIONS

Define the bounds/error interval of a number

Bounds of addition and multiplication

Bounds of subtraction and division

Mixture of operations

Compound measure calculations with bounds

Use of bounds in other Mathematical topics

SQUARES, CUBES AND ROOTS

Given a square grid, count the squares to determine the square number

Knowledge of square numbers up to 225

Knowledge of square roots of numbers up to 225

Combination of operations with squares and roots of numbers

Knowledge of cube numbers up to below 200

Combination of operations with squares, cubes and roots of numbers

USE THE LAWS OF INDICES

1st index law - multiplying terms

2nd index law - dividing terms

Mixture of 1st and 2nd index law

3rd index law - power of power

Harder 3rd index law involving simple algebraic expressions raised to a power

Write a calculation as a single power of a number

EQUATING BASES

Mixed index laws

Write one number as a power of another

Simplify index laws and write as a single power of a number

Simplify a complex problem and write the answer as a power of a number

Solving equations by equating bases

Solving harder equations by equating bases

INTEGERS WITH NEGATIVE/FRACTIONAL INDICES

To the power of -1

To the power of a negative number

To the power of a half or a third

To the power of negative half or third

To the power of a fraction (inc top heavy)

To the power of a negative fraction (inc top heavy)

DECIMALS/FRACTIONS WITH NEGATIVE/FRACTIONAL INDICES

Decimal or fraction raised to the power of -1

Decimal or fraction raised to the power of a negative 2

To the power of a half or a third

To the power of negative half or third

To the power of a fraction (inc top heavy)

To the power of a negative fraction (inc top heavy)

CONVERSION OF STANDARD FORM

Multiplying and dividing by powers of 10

Convert to standard form (numbers greater than 0)

Convert to standard form (numbers less than 0)

Convert from standard form

Convert ax10^b where is a<1 or a>10 into standard form

OPERATE IN STANDARD FORM

Add and subtract numbers written in standard form with common powers of 10

Add and subtract numbers written in standard form with different powers of 10

Add and subtract numbers written in standard form

Multiplying numbers written in standard form

Dividing numbers written in standard form

Combination of operations with numbers written in standard form

SIMPLIFY A SURD

Write a surd as the square root of the product of 2 numbers where 1 number is missing

Write a surd as the square root of the product of 2 numbers

Write a surd as a product of two square roots where 1 square root is missing

Write a surd as a product of two square roots

Simplify a surd

OPERATE WITH SURDS

Add and subtract common surds

Simplify one surd before adding or subtracting it to another

Multiplication of surds

Division of surds

Combination of operations involving surds

Combination of operations involving the expansion of surds in brackets

RATIONALISE THE DENOMINATOR

Given the root of a number, how would you rationalise it?

Rationalise a unit fraction

Rationalise a simple denominator

Rationalise a denominator where the same surd appears in both the numerator and denominator

Rationalise the denominator using the difference of two squares

Rationalise the denominator using the difference of two squares and a surd in the numerator

PROBABILITY

PROBABILITY SCALE

Probability vocabluary - impossible, unlikely, even chance, likely, certain

Place likelihood of an event on a number line (0 to 1)

Place the likelihood of events on a number line (0 to 1) that are mutually exclusive events

LIST OUTCOMES

List outcomes from a single event

List outcomes from 2 events (sample space table)

Given a menu options for 3 courses, create a sample space diagram to show all possible outcomes of selecting 2 courses

Calculate probabilities given a sample space diagram

Draw and interpret a sample space diagram for the outcomes of 2 events

CALCULATE SIMPLE PROBABILITIES

Calculate the probability for a simple single event

Calculate the probability of selecting an item given a list of all outcomes

Calculate the probability of selecting a letter from a given word

Calculate the probability of an event given a simple sample space diagram showing all possible outcomes from 2 events

Calculate the probability of an event from a sample space diagram showing all possible outcomes from 2 events

FREQUENCY TREES

Create a frequency tree for a single event

Create a frequency tree for 2 events

Create a frequency tree for 2 events involving some arithmetic to complete the tree

Create a frequency tree for 2 events involving problem solving to complete the tree

Calculate the probability of an event by first drawing a frequency tree

MUTUALLY EXCLUSIVE EVENTS

Calculate the probability of a simple mutually exclusive event

Complete a table of the likelihood of outcomes of a mutually exlusive event with 3 outcomes

Complete a table of the likelihood of outcomes of a mutually exlusive event where 2 of the outcomes are equally likely

Complete a probability tree diagram for a single event

Given the probabilities of a mutually exclusive event as algebraic expressions, form and solve the equation

CALCULATE RELATIVE/EXPECTED FREQUENCY

Find the relative frequency where the total is 100

Find the relative frequency where the total is not 100

Find the relative frequency where the total is not given

Use relative frequency to calculate the expected frequency

Complete a table of relative frequencies and expected frequencies of a single event

Use relative frequency from an experiment to estimate the population

PROBABILITIES OF INDEPENDENT EVENTS

Calculate a probability given a complete tree diagram for 2 events - AND style questions

Calculate a probability given an incomplete tree diagram for 2 events - AND style questions

Calculate a probability of 2 events - AND style questions

Calulate a probability of 2 events where you can only have 1 of each - OR style questions

Calculate a probability of 2 events for AT LEAST style questions

Calculate a probability of more than 2 events

PROBABILITIES OF DEPENDENT EVENTS

Calculate a probability given a complete tree diagram for 2 events - AND style questions

Calculate a probability given an incomplete tree diagram for 2 events - AND style questions

Calculate a probability of 2 events - AND style questions

Calulate a probability of 2 events where you can only have 1 of each - OR style questions

Calculate a probability of 2 events for AT LEAST style questions

COMPLETE AND INTERPRET A VENN DIAGRAM

Construct a venn diagram

Calculate simple probabilities from a venn diagram

Calculate union or intersection probabilities from a venn diagram

Calculate union or intersection probabilities from a venn diagram including NOT

Calculate union or intersection probabilities given domains outlined by set notation

Calculate union or intersection probabilities where an equation needs to be formed and solved

CALCULATE CONDITIONAL PROBABILITIES

Conditional probability from a venn diagram

Conditional probability without a venn diagram but given domains outlined by set notation

Conditional probability of selecting letters from a given word

Calculating a conditional probability given percentages of specific outcomes

RATIO

CONVERSION OF METRIC UNITS

Conversion between metric units of length, mass and volume

Conversion between cm^3 and l

Simple problem solving given measures of different metric units

Conversion between metric units of area

Conversion between metric units of volume

Problem solving with metric units of measure

CONVERSION OF METRIC AND IMPERIAL

Convert between miles and kilometres

Speed/distance/time calculations

Given a conversion ratio, change between metric and imperial units

Problem solving with measures given in metric and imperial units

Multiple conversions of units

Convert between units of area/volume

MAP SCALES

Given a conversion ratio, convert a map distance into a real life distance

Conversion between metric units of length

Given a conversion ratio, convert a real life distance into a map distance

Given a scale written in different metric units, write the ratio in its simplest form

Given a distance represented as a measureable line on map and a scale, convert into a real life distance

COMPOUND MEASURES

Convert between different units of time

Speed, distance and time calculations

Density, mass and volume calculations/Pressure, mass and area calculations

Problem solve with compound measures

Problem solve with compound measures involving volume calculation

Convert between different units of compound measure

SIMPLIFY A RATIO

Simplify a:b

Simplify a ratio into the form 1:n

Simplify a:b:c

Simplify a simple algebraic ratio

Simplify an algebraic ratio that includes powers

Combine 2 separate ratios comparing different quantities and problem solve when interpreting the resulting ratio

INTERPRET RATIO AS A FRACTION

What fraction of a bar model divided into the ratio a:b is shaded

What fraction of a bar model divided into the ratio a:b:c is shaded)

Given a ratio a:b, what fraction is represented

Given a ratio a:b:c, what fraction is represented

Given a fraction/percentage of a bar model that is shaded, represent this as a ratio

Represent a part of a contextualised ratio problem as fraction

DIVIDE A QUANTITY INTO A GIVEN RATIO

Divide an amount into a:b

Divide an amount into a:b:c

Divide a contextualised amount into the ratio a:b

With an amount of money shared in the ratio a:b, if someone gets this, what does the other get?

With an amount of money shared in the ratio a:b, if the difference is this, how much did they share?

Divide an amount into a given ratio when the problem is linked with other topics in Maths, e.g. angles

MULTIPLICATIVE OPERATIONS WITH RATIOS

Given an equation of A in terms of B, write the fraction A/B

Given an equation of A in terms of B, write the ratio A:B

Given A:B=C:D, write the equation of A in terms of B, where C and D are positive integers

Given the ratio of 2 pairs of points on a straight line give ratio between each point

Given an equation of A in terms of B, problem solve with multiplicative ratios

Problem solve when multiplicative operations with ratios are applied in other Mathematical topics

BEST BUYS

Compare 2 offers (same quantities but different prices £)

Compare 2 offers (different quantities and different prices £)

Compare 2 offers (different quantities and different prices £pp)

Compare 2 offers (different units, quantities and prices)

Compare 2 offers (special offer deals)

CURRENCY CONVERSION

Simple conversion involving a scale of 1:n

Given the currency conversion ratio, convert pounds into another currency (£1:...)

Given the currency conversion ratio, convert to pounds from another currency

Given the cost of an item in two countries, which is better value/what is the difference in price?

Given the cost of 2 items in different countries and the currency conversion into pounds, convert them into a comparable amount to determine which is better value

DIRECT PROPORTION

Simple direct proportion based on a word problem

Scale ingredients using direct proportion for a different number of portions

What is the most I can make given basic ingredients and a recipe?

Word direct proportion

Direct proportion linear model

Direct proportion non linear model

INVERSE PROPORTION

Simple inverse proportion based on a word problem

Word related inverse proportion

Inverse proportion linear model

Inverse proportion non linear model

STATISTICS

DATA HANDLING CYCLE

Understanding the 4 steps of the data handling cycle

Determine if a given hypothesis is testable and is not opinion based

Identify the given type of data

Identify qualities of a good or bad survey question

Identify the type of sampling being used (quota/convenience/stratified/cluster/systematic)

Identify causes of bias and how a sample can be improved

CALCULATE A STRATIFIED SAMPLE

Find a stratified sample

Find the total frequency given the stratified sample

CAPTURE RECAPTURE

Find an easy estimate of the population

Find an estimate of a population

Find the estimate of a population given the percentage with tags

Critically analyse the sampling technique

TWO-WAY TABLES

Create a simple two-way table from images

Find totals from a two-way table

Complete missing values in a two-way table

Calculate probabilities or fractions of amount from a two-way table

Given a word problem, create and interpret a two-way table

Multi-skill problem solving by creating and interpreting a two-way table, including ratios or percentages

CALCULATE AVERAGES FROM A LIST

Calculate the mode

Calculate the median (odd number of values)

Calculate the median (even number of values)

Calculate the mean

Calculate a missing value given the mean and the other values

Write 4 numbers with a given mean, mode, median and range

CALCULATE QUARTILES FROM A LIST

Calculate IQR (easy ordered list)

Calculate IQR (unordered list with easy quartiles)

Calculate IQR (unordered list with half position values)

Calculate IQR (unordered list of decimals)

IQR from a stem and leaf diagram

Given the IQR and range find unknown values in a list of data

WHICH AVERAGE SHOULD YOU USE?

Which average gives the best or worst result?

State advantages or disadvantages of a specific type of average

Given a data set, decide which average is best to use to represent the data

CALCULATE THE MODE/MEAN FROM A FREQUENCY TABLE

Calculate the mode from a frequency table

Calculate the total score from a frequency table

Calculate the mean from a frequency table

Calculate an estimate of the mean from a grouped frequency table

Calculate a missing score given the mean from a frequency table

Calculate a missing frequency given the mean from a frequency table

CALCULATE THE MEDIAN/IQR FROM A FREQUENCY TABLE

Calculate the median from a frequency table

Identify the interval that contains the median from a grouped frequency table

Use linear interpolation to find the median (always the midpoint of the interval) from a grouped frequency table

Use linear interpolation to find the median (never the midpoint of the interval) from a grouped frequency table

Find the interquartile range from a grouped frequency table

STEM AND LEAF DIAGRAMS

Draw a stem and leaf diagram from an unordered list of data containing integers

Draw a stem and leaf diagram from an unordered list of data containing decimals

Interpret a stem and leaf diagram, e.g. what fraction were under a specific score?

Find averages and range from a stem and leaf diagram

Adding data to a stem and leaf and analysing the effects on statistical measures

Analysing a back to back stem and leaf diagram

DRAW/INTERPRET A FREQUENCY POLYGON

Draw a frequency polygon from a grouped frequency table

Interpret probabilities of events from a frequency polygon

Interpret the mean from a frequency polygon

Draw comparisons between 2 frequency polygons drawn on the same axes

DRAW/INTERPRET CUMULATIVE FREQUENCY

Construct a cumulative frequency table

Construct a cumulative frequency table from a graph

Estimate a median from a cumulative frequency graph

Estimate the interquartile range from a cumulative frequency graph

Estimate the number of people that scored more or less than an amount from a cumulative frequency graph

DRAW/INTERPRET A BOX PLOT

Draw a box plot given 5 point summary

Draw a box plot from a cumulative frequency diagram

Draw a box plot given some information given key statistical measures about a list of data

Analyze a given box plots

Calculate median, inter-quartile range or range from a box plot

Make comparisons between 2 box plots drawn on the same number line

DRAW/INTERPRET A BAR CHART

Create a tally chart from a list of data

Given a tally chart, interpret key measures from the chart

Draw a bar chart from a frequency table

Interpret least/most common or frequency from a bar chart

Draw a bar chart given a word problem that requires problem solving

DRAW/INTERPRET A COMPOSITE BAR CHART

Analyse a composite bar chart

Draw a composite bar chart given a two way table

Interpret proportions from a composite bar chart

DRAW/INTERPRET A HISTOGRAM

Complete a frequency density column given a grouped frequency table

Complete missing values in a grouped frequency table including frequency density column and frequency values

Estimate how many got greater than a score from a histogram

Estimate how many got greater than a score from a grouped frequency table

Construct a frequency table from a histogram

Given the frequency of one interval represented by a histogram, complete a frequency table to represent all other intervals

CONSTRUCT A PICTOGRAPH

Given a pictogram, identify least/most common or total (involving frequencies that require only whole diagrams)

Given a pictogram, identify least/most common or total (involving frequencies that require half a diagram)

Given a pictogram, find the frequency of a category or total frequency

Draw a pictograph (involving frequencies that require only whole diagrams)

Draw a pictograph (involving frequencies that require half a diagram)

Given a pictogram, find the percentage who answered a category

CONSTRUCT A PIE CHART

Draw a pie chart (total freq 360 with categories having a frequency that is a factor of 360)

Draw a pie chart (total frequency is 90 or 180)

Draw a pie chart (total frequency is a factor of 360)

Calculate the angles needed to construct a pie chart (total frequency is not a factor of 360)

Draw a pie chart (total frequency is not a factor of 360)

Draw a pie chart where the total frequency is given but the category frequencies are expressions in terms of x

INTERPRET A PIE CHART

Find the mode from a given pie chart

Calculate the fraction represented by a sector on a given pie chart

Given a pie chart and the frequency of a sector, calculate total frequency

Given a pie chart and the percentage represented by 2 sectors and the total, calculate the frequency of a third sector

DRAW/INTERPRET A SCATTER GRAPH

Plot a scatter diagram from a given table

Describe the correlation represented in a scatter graph

Draw a line of best fit on a given scatter graph

Estimate from a line of best fit on a scatter graph

Identify anomalies from a given scatter graph

PMCC AND REGRESSION LINE

Comment on the correlation shown in a given scatter graph

Find the PMCC from table

Interpret the meaning of the PMCC value in a given context

Calculate the regression line equation from a given table

Interpolate/extrapolate using a regression line equation formed from a given table

Limitations of using a regression line given a scatter graph

STANDARD DEVIATION

Substitute given values into standard deviation formula

Find the standard deviation from a sample list of data

Find the standard deviation from population list of data

Given the standard deviation from 2 experiments, comment on the results

Calculate the percentage of data within 1 standard deviation of the mean

Find the standard deviation from a frequency table

NORMAL DISTRIBUTION

Calculate the z-score given a value, µ and the standard deviation

Find P(X < ?) where Z > 0

Find P(X < ?) or P(X > ?) where Z < 0

Find P(a < X < b)

Find X where Y% are less than X

Find µ given P(X < x)

CONFIDENCE INTERVALS

Use standard error of the mean to find the P(Z < ?)

Find a z-score given a percentage confidence interval

Construct a confidence interval given a sample

Construct a confidence interval given a different confidence interval of the same sample