The following files are worked example animations generated using the question bank from Maths White Board (click here). The animations are a great way of modelling or providing a silent example for students to narrate. The animations could be started but paused half way to get students to think about what comes next. There are so many ways these animations could be used. For ease, all files have been built into the "Model it" tool on the site and also in the "Secure WB" board.

Feel free to use the FREE animation library but where possible, please provide a link to this site for others to explore. When using the animations, they are to be used to generate freely available resources. For any commercial services looking to embed these animations, please contact me first.

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Algebra vocabulary and understanding

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

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

Algebra vocabulary and understanding

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

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

Simplify an expression

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

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

Simplify an expression

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

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

Rearranging into the form y = mx + c

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

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

Rearranging into the form y = mx + c

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

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

Rearranging into the form y = mx + c

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

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

Rearranging into the form y = mx + c

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

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

Find the equation of a parallel line

1★ Given coordinates for two lines, determine if they are parallel

1★ Given coordinates for two lines, determine if they are parallel

Find the equation of a parallel line

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

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

Find the equation of a parallel line

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

5★ 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 parallel line

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

5★ 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

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

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

Find the equation of a perpendicular line

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

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

Find the equation of a perpendicular line

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

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

Find the equation of a perpendicular line

4★ Given 2 linear equations, prove they are perpendicular to eachother

4★ Given 2 linear equations, prove they are perpendicular to eachother

Find the equation of a perpendicular line

4★ Given 2 linear equations, prove they are perpendicular to eachother

4★ Given 2 linear equations, prove they are perpendicular to eachother

Find the equation of a perpendicular line

5★ Given 2 linear equations, determine if they are perpendicular

5★ Given 2 linear equations, determine if they are perpendicular

Find the equation of a perpendicular line

5★ Given 2 linear equations, determine if they are perpendicular

5★ Given 2 linear equations, determine if they are perpendicular

Find the equation of a perpendicular line

5★ Given 2 linear equations, determine if they are perpendicular

5★ Given 2 linear equations, determine if they are perpendicular

Find the equation of a perpendicular line

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

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

Equation of a tangent to a circle

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

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

Equation of a tangent to a circle

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

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

Equation of a tangent to a circle

3★ 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

3★ 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

Equation of a tangent to a circle

4★ 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

4★ 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

Equation of a tangent to a circle

5★ 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

5★ 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

Equation of a tangent to a circle

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

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

Graphical solutions of equations

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

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

Quadratic and cubic functions

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

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

Quadratic and cubic functions

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

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

Quadratic and cubic functions

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

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

Quadratic and cubic functions

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

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

Equation of a circle

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

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

Equation of a circle

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

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

Equation of a circle

6★ 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)

6★ 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

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

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

Area under a graph

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

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

Area under a graph

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

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

Area under a graph

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

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

Reciprocal functions

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

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

Exponential functions

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

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

Trigonometry graphs

4★ 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

4★ 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

Trigonometry graphs

4★ 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

4★ 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

Trigonometry graphs

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

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

Trigonometry graphs

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

5★ 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)

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

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

Solve linear equations (unknown on 1 side, int ans)

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

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

Solve linear equations (unknown on 1 side, int ans)

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

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

Solve linear equations (unknown on 1 side, int ans)

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

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

Solve linear equations (unknown on 1 side, dec ans)

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

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

Solve linear equations (unknown on 1 side, dec ans)

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

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

Solve linear equations (unknown on 1 side, dec ans)

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

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

Solve linear equations (unknown on 1 side, dec ans)

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

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

Solve linear equations (unknown on 1 side, dec ans)

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

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

Solve linear equations (unknown on 1 side, dec ans)

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

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

Solve linear equations (unknown on 1 side, dec ans)

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

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

Solve linear equations (unknown on 1 side, dec ans)

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

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

Solve linear equations (unknown both sides)

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

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

Solve linear equations (unknown both sides)

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

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

Solve linear equations (unknown both sides)

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

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

Solve linear equations (unknown both sides)

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

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

Solve linear equations (unknown both sides)

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

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

Solve linear equations (unknown both sides)

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

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

Solve linear equations (unknown both sides)

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

6★ 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

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

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

Solve linear equations with brackets

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

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

Solve linear equations with brackets

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

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

Solve linear equations with brackets

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

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

Solve linear equations with brackets

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

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

Solve linear equations with brackets

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

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

Solve linear equations with brackets

6★ Solve a linear equation involving multiple expansion of brackets

6★ Solve a linear equation involving multiple expansion of brackets

Solve rational equations

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

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

Solve rational equations

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

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

Solve rational equations

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

6★ 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

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

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

Factorise a simple expression

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

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

Factorise a simple expression

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

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

Factorise a simple expression

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

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

Factorise a simple expression

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

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

Factorise a quadratic expression

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

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

Solve a quadratic by factorising

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

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

Solving quadratics in disguise

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

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

Solving quadratics in disguise

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

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

Solve a quadratic by completing the square

1★ Solve by completing the square given part of the working

1★ Solve by completing the square given part of the working

Solve a quadratic by completing the square

2★ Solve by completing the square given part of the working

2★ Solve by completing the square given part of the working

Solve a quadratic by completing the square

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

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

Solve a quadratic by completing the square

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

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

Solve a quadratic by using the formula

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

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

Solve a quadratic by using the formula

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

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

Solve a quadratic by using the formula

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

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

Graph transformations

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

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

Graph transformations

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

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

Use simple function machines

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

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

Use simple function machines

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

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

Use simple function machines

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

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

Use simple function machines

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

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

Use composite functions

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

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

Use composite functions

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

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

Inverse functions

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

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

Read/Represent inequalities on a number line

1★ Interpreting a not equal to representation from a number line

1★ Interpreting a not equal to representation from a number line

Read/Represent inequalities on a number line

1★ Interpreting a not equal to representation from a number line

1★ Interpreting a not equal to representation from a number line

Read/Represent inequalities on a number line

2★ Interpreting an equal to representation from a number line

2★ Interpreting an equal to representation from a number line

Read/Represent inequalities on a number line

2★ Interpreting an equal to representation from a number line

2★ Interpreting an equal to representation from a number line

Solve linear inequalities

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

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

Solve linear inequalities

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

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

Solve linear inequalities

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

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

Graphical inequalities

1★ Identify the single linear inequality from a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

1★ Identify the single linear inequality from a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

Graphical inequalities

1★ Identify the single linear inequality from a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

1★ Identify the single linear inequality from a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

Graphical inequalities

1★ Identify the single linear inequality from a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

1★ Identify the single linear inequality from a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

Graphical inequalities

2★ Sketch the single linear inequality on a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

2★ Sketch the single linear inequality on a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

Graphical inequalities

2★ Sketch the single linear inequality on a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

2★ Sketch the single linear inequality on a graph in the form x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

Graphical inequalities

3★ Given a graph, identify the 4 inequalities that bound a rectangular region using x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

3★ Given a graph, identify the 4 inequalities that bound a rectangular region using x<a, x>b, y<c, y>d, xâ‰¤e, xâ‰¥f, yâ‰¤g or yâ‰¥h

Graphical inequalities

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

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

Solve quadratic inequalities

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

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

Solve quadratic inequalities

2★ Graphically solve a quadratic inequality in the form x^2Â±aâ‰¤0 or x^2Â±aâ‰¥0

2★ Graphically solve a quadratic inequality in the form x^2Â±aâ‰¤0 or x^2Â±aâ‰¥0

Solve quadratic inequalities

3★ Solve a quadratic inequality x^2Â±a<0, x^2Â±a>0, x^2Â±aâ‰¤0 or x^2Â±aâ‰¥0

3★ Solve a quadratic inequality x^2Â±a<0, x^2Â±a>0, x^2Â±aâ‰¤0 or x^2Â±aâ‰¥0

Solve quadratic inequalities

4★ Solve a quadratic inequality x^2Â±bxÂ±c<0, x^2Â±bxÂ±c>0, x^2Â±bxÂ±câ‰¤0 or x^2Â±bxÂ±câ‰¥0

4★ Solve a quadratic inequality x^2Â±bxÂ±c<0, x^2Â±bxÂ±c>0, x^2Â±bxÂ±câ‰¤0 or x^2Â±bxÂ±câ‰¥0

Solve quadratic inequalities

5★ Solve a quadratic inequality ax^2Â±bxÂ±c<0, ax^2Â±bxÂ±c>0, ax^2Â±bxÂ±câ‰¤0 or ax^2Â±bxÂ±câ‰¥0

5★ Solve a quadratic inequality ax^2Â±bxÂ±c<0, ax^2Â±bxÂ±c>0, ax^2Â±bxÂ±câ‰¤0 or ax^2Â±bxÂ±câ‰¥0

Solve quadratic inequalities

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

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

Recognise common sequences

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

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

Understand linear sequences

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

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

Understand linear sequences

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

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

Understand geometric sequences

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

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

Understand geometric sequences

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

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

Understand geometric sequences

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

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

Understand geometric sequences

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

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

Understand geometric sequences

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

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

Understand geometric sequences

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

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

Understand geometric sequences

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

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

Algebraic sequences

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

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

Algebraic sequences

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

5★ 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

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

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

Understand quadratic sequences

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

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

Solve linear simultaneous equations

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

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

Solve linear simultaneous equations

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

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

Solve linear simultaneous equations

3★ Solve 2 simultaneous equations where all coefficients are different

3★ Solve 2 simultaneous equations where all coefficients are different

Solve linear simultaneous equations

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

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

Solve linear simultaneous equations

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

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

Solve non linear simultaneous equations

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

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

Solve non linear simultaneous equations

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

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

Solve non linear simultaneous equations

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

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

Solve non linear simultaneous equations

4★ 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)

4★ 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)

Solve non linear simultaneous equations

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

5★ 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

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

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

Substitute into expressions/formula

2★ Substitute a positive value into an expression that includes 2 operations

2★ Substitute a positive value into an expression that includes 2 operations

Substitute into expressions/formula

3★ Substitute negative values into an expression involving 2 variables

3★ Substitute negative values into an expression involving 2 variables

Form expressions and equations

1★ Create a simple expression in the form xÂ±a or ax based on a word problem

1★ Create a simple expression in the form xÂ±a or ax based on a word problem

Form expressions and equations

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

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

Form expressions and equations

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

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

Form expressions and equations

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

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

Data handling cycle

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

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

Two-way tables

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

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

Which average should you use?

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

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

Calculate the mode/mean from a frequency table

4★ Calculate an estimate of the mean from a grouped frequency table

4★ Calculate an estimate of the mean from a grouped frequency table

Calculate the mode/mean from a frequency table

5★ Calculate a missing score given the mean from a frequency table

5★ Calculate a missing score given the mean from a frequency table

Calculate the mode/mean from a frequency table

6★ Calculate a missing frequency given the mean from a frequency table

6★ Calculate a missing frequency given the mean from a frequency table

Calculate the median/IQR from a frequency table

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

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

Calculate the median/IQR from a frequency table

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

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

Calculate the median/IQR from a frequency table

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

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

Calculate the median/IQR from a frequency table

5★ Find the interquartile range from a grouped frequency table

5★ Find the interquartile range from a grouped frequency table

Stem and leaf diagrams

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

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

Stem and leaf diagrams

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

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

Stem and leaf diagrams

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

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

Stem and leaf diagrams

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

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

Draw/Interpret a frequency polygon

4★ Draw comparisons between 2 frequency polygons drawn on the same axes

4★ Draw comparisons between 2 frequency polygons drawn on the same axes

Draw/Interpret cumulative frequency

4★ Estimate the interquartile range from a cumulative frequency graph

4★ Estimate the interquartile range from a cumulative frequency graph

Draw/Interpret cumulative frequency

4★ Estimate the interquartile range from a cumulative frequency graph

4★ Estimate the interquartile range from a cumulative frequency graph

Draw/Interpret cumulative frequency

4★ Estimate the interquartile range from a cumulative frequency graph

4★ Estimate the interquartile range from a cumulative frequency graph

Draw/Interpret cumulative frequency

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

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

Draw/Interpret cumulative frequency

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

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

Draw/Interpret cumulative frequency

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

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

Draw/Interpret a box plot

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

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

Draw/Interpret a histogram

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

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

Draw/Interpret a histogram

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

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

Draw/Interpret a histogram

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

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

Construct a pictograph

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

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

Construct a pictograph

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

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

Construct a pie chart

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

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

Construct a pie chart

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

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

Construct a pie chart

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

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

Interpret a pie chart

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

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

PMCC and regression line

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

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

Confidence intervals

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

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

Facebook maths

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

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

Commutative, associative and distributive laws

1★ Commutative law involving only addition or multiplication

1★ Commutative law involving only addition or multiplication

Commutative, associative and distributive laws

2★ Commutative law involving a combination of addition and multiplication

2★ Commutative law involving a combination of addition and multiplication

Commutative, associative and distributive laws

6★ Evaluate calculations based on the use of the number laws

6★ Evaluate calculations based on the use of the number laws

Prime factors

6★ 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

6★ 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

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

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

Order of operations

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

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

Order of operations

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

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

Write one number as a fraction of another

3★ Understanding complements when finding a fraction of an amount

3★ Understanding complements when finding a fraction of an amount

Write one number as a fraction of another

3★ Understanding complements when finding a fraction of an amount

3★ Understanding complements when finding a fraction of an amount

Write one number as a fraction of another

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

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

Write one number as a fraction of another

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

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

Write one number as a fraction of another

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

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

Write one number as a fraction of another

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

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

Fraction of an amount (part i)

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

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

FDP conversion

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

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

Efficient use of a calculator

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

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

Efficient use of a calculator

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

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

Efficient use of a calculator

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

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

Column multiplication

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

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

Column multiplication

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

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

Money problems

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

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

Money problems

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

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

Money problems - payment plans

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

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

Money problems - payment plans

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

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

Pay slips

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

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

Pay slips

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

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

Percentage of an amount

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

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

Increase/decrease by a percentage

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

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

Increase/decrease by a percentage

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

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

Increase/decrease by a percentage

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

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

Increase/decrease by a percentage

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

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

Increase/decrease by a percentage

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

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

Increase/decrease by a percentage

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

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

Increase/decrease by a percentage

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

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

Increase/decrease by a percentage

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

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

Reverse percentage

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

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