The Maths White Board Vision Box is a growing collection video tutorials centred around recalling key facts about specific topics and leading worked examples. These videos are ideal for changing the focus of one of your lessons and allow for a possible alternative approach to be taught, or the videos are great as part of a flipped learning approach.
Algebra Algebra vocabulary and understanding - 1★ What is it? (term, expression, equation, formula or identity?)
Algebra vocabulary and understanding - 2★ Is it an equation or an identity?
Algebra vocabulary and understanding - 3★ Product of two brackets equating coefficients (quadratics)
Algebra vocabulary and understanding - 4★ Equating coefficients (inc. factorising)
Algebra vocabulary and understanding - 5★ Equating coefficients (inc. completing the square)
Algebra vocabulary and understanding - 6★ Equating coefficients (inc. completing the square) - harder
Algebraic proof - 4★ Show that an expression is even, odd, multiple of or factor of a number
Simplify an expression - 1★ Single variable addition and subtraction
Simplify an expression - 2★ Addition and subtraction of multiples of a single variable
Simplify an expression - 3★ Multiplying and dividing terms
Simplify an expression - 4★ Collecting two or more variables
Simplify an expression - 5★ Collecting two or more variables inc powers
Simplify an expression - 6★ Find the perimeter of a shape with linear expressions as the lengths of the sides
Algebraic fractions - 4★ Multiply or divide
Change the subject - 2★ Rearrange in 2 steps
Identify coordinates in all 4 quadrants - 4★ All quadrants
Find and use y = a, x = a and y = x - 1★ State the equation from a graph
Find y = mx + c from a graph - 6★ Finding y=mx+c from a graph
Using and exploring y = mx + c - 1★ Complete a table of coordinate pairs (find y coordinates)
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)
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)
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
Graphical solutions of equations - 3★ Use a graph to solve when y=ax+b and y=cx+d
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
Equation of a circle - 4★ State the equation of a circle given its graph
Area under a graph - 4★ Estimate the area under a graph (quadratic)
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
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
Expand over a single bracket - 1★ Expand a(x+b)
Expand over a single bracket - 2★ Expand a(bx+c)
Expand over a single bracket - 3★ Expand x(x+a)
Expand over a single bracket - 4★ Expand ax(bx+c)
Expand over a single bracket - 5★ Expand the sum or difference of two linear brackets and simplify
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
Expand 2 or more binomials - 3★ Expand (x+a)(x-a)
Factorise a simple expression - 2★ Factorise a quadratic expression ax^2±bx
Factorise a quadratic expression - 5★ Factorise a quadratic resulting in (ax + b)(x + c)
Solve a quadratic by factorising - 1★ Solve a quadratic resulting in (x + a)(x + b)
Complete the square - 3★ Completing the square of x^2+bn+c where b is divisible by 2
Solve a quadratic by completing the square - 3★ Solve by completing the square of x^2+bn+c where b is divisible by 2
Solve a quadratic by using the formula - 5★ Solve a quadratic using the quadratic formula
Use simple function machines - 2★ Substitute an input value into a 2 operation function machine
Use composite functions - 1★ Find gf(x) or fg(x) for a given value knowing that f(x)=ax and g(x)=x+b
Iterations - 4★ Given x0 and an iterative formula derived from a rearranged cubic, find x3
Inverse functions - 2★ Rearrange a function involving 2 operations
Read/Represent inequalities on a number line - 3★ Interpret any inequality from a number line
Solve linear inequalities - 3★ Solve a 2 step inequality where x has a positive coefficient
Understand linear sequences - 4★ Find the nth term rule for a linear sequence
Understand geometric sequences - 2★ Find the next 2 terms of a geometric sequence (integer common ratio)
Understand quadratic sequences - 4★ Find the nth term rule of a quadratic sequence based on n^2+bn+c
Solve linear simultaneous equations - 3★ Solve 2 simultaneous equations where all coefficients are different
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)
Substitute into expressions/formula - 5★ Substitute values into common formulae
Geometry Reading scales - 5★ Reading a scale with only 2 values given on the scale
Measuring/Drawing angles - 6★ Draw a reflex angle
Plans and elevations - 1★ Identify the number of cubes needed to make a solid shape
90°, 180°, and 360° angles - 1★ Calculate an unknown angle on a straight line
90°, 180°, and 360° angles - 2★ Use the vertically opposite angles property to find an unknown angle
90°, 180°, and 360° angles - 3★ Calculate an angle using the fact that a right angle is 90°
90°, 180°, and 360° angles - 4★ Calculate an unknown angle using the fact angles around a point sum to 360°
90°, 180°, and 360° angles - 5★ Given 3 algebraic expressions to represent angles, solve the equation formed using appropriate angle facts
Angles in triangles - 1★ Name a given triangle
Angles in triangles - 2★ Calculate an unknown angle in a triangle
Angles in triangles - 3★ Calculate an unknown angle in an equilateral triangle
Angles in triangles - 4★ Calculate an unknown angle in a right angle triangle
Angles in triangles - 5★ Calculate an unknown angle in an isosceles triangle
Angles in triangles - 6★ Calculate an unknown angle in 2 adjoining triangles
Angles on parallel lines - 1★ Revision of all angle types
Angles in polygons - 1★ Find the interior angle sum of a polygon
Bearings - 1★ Measure an angle
Area/Volume scale factors - 1★ Find the area of an enlarged 2D shape
Similar shapes - 3★ Use a scale factor to find an unknown side
Area of 2D shapes - 1★ Calculate the area of a shape by counting squares
Area of 2D shapes - 2★ Calculate the area of a triangle or rectangle
Area of 2D shapes - 3★ Calculate the area of a parallelogram
Area of 2D shapes - 4★ Calculate the area of a trapezium
Area of 2D shapes - 5★ Calculate the area of a regular hexagon
Area of 2D shapes - 6★ Given 2 shapes and the fact their areas are equal, calculate a missing length in 1 of the shapes
Reverse area of 2D shapes - 2★ Given the area of a triangle, calculate an unknown side length
Area of composite shapes - 1★ Calculate the area of a compound shape made from combining 2 rectangles
Perimeter of 2D shapes - 3★ Calculate the perimeter of a simple compound shape made from rectangles
Parts of a circle - 3★ Name the given part of a circle
Circumference of a circle - 1★ Calculate the circumference given the diameter
Area of a circle - 1★ Calculate the area of a circle given the radius
Apply Pythagoras' Theorem - 3★ Use Pythagoras theorem for right angled triangles
Apply SOH CAH TOA - 3★ Apply SOH CAH TOA to calculate an angle in a right-angled triangle
Sine and cosine rules - 5★ Apply either the sine or cosine rule in a problem
Area of a triangle (trigonometry) - 3★ Calculate the area of a non-right angled triangle using 0.5absinC
Surface area of 3D shapes - 1★ Give the name of a common 3D shape given a diagram or description
Surface area of 3D shapes - 2★ Surface area of a cube or cuboid
Surface area of 3D shapes - 3★ Surface area of a cylinder or triangular prism
Surface area of 3D shapes - 4★ Surface area of a cone or sphere
Surface area of 3D shapes - 5★ Calculate a missing length given the surface area of a sphere, cylinder or cuboid
Volume of 3D shapes - 1★ Give the name of a common 3D shape given a diagram or description
Volume of 3D shapes - 4★ Calculate the volume of a cylinder or triangular prism
Volume of complex 3D shapes - 2★ Calculate the volume of a cone or sphere or square based pyramid
