# Secondary Maths - Brightstorm: Higher GCSE

**TES Secondary Maths resource collections**

**Brightstorm: Higher GCSE**

**Collection Author:** Craig Barton - Maths AST and creator of www.mrbartonmaths.com (TES Name: mrbartonmaths)

Brightstorm produces videos that explain key mathematical concepts and provide sample solutions on a wide range of mathematical topics. They have become an official TES Partner, and have kindly agreed to share their videos on our website.

Brightstorm is a US company, and hence its videos are based around the USA curriculum. However, I have spent some time mapping their hundreds of high-quality videos to the UK curriculum. What I particularly like are that many of the videos are aimed at post-16 students, studying AS, A2 and even Further Mathematics. Good quality videos, help and support for these courses tends to be few and far between. I also like the clarity and concise nature of the explanations and solutions – the teachers in the videos certainly know their stuff, and are able to convey this in an accessible way.

These videos could be used in the classroom, or better still by students at home. There is certainly scope to participate in the “flipped classroom”, whereby students use the videos at home to learn a concept, and then time is spent in the classroom working through problems with the teacher to make sure they have understood all the important concepts.

As the videos are American, it is important to get your head around some key terminology differences. The main ones are:

- Radical = Square Root
- Exponent = Power / Indices
- Rectangular = Cartesian Co-ordinates (i.e. x-y axis)
- Anti-differentiation = Integration

This particular collection of videos is appropriate for Higher GCSE students, particularly those with an interest in studying mathematics at post-16 level.

**Number**

- Concise video on how to classify different types of real numbers. Key terms: real numbers, natural, counting, whole, integer, rational, irrational

- Concise video on how to define the properties of real numbers. Key terms: associative, commutative, distributive, identity, inverse

- Concise video on how to define direct variation. Key terms: direct variation, proportional, constant of variation

- Concise video on how to define indirect variation. Key terms: indirect variation, inverse proportion, constant of variation

- Concise video on how to define joint and combined variation. Key terms: joint variation, combined variation

- Concise video on how to rationalize a denominator by multiplying by the conjugate. Key terms: rationalizing the denominator, binomial, conjugate

**Algebraic Expressions and Equations**

- Concise video on how to multiply two binomials together. Key terms: multiplying polynomials, foil, binomial

- Concise video on how to solve a linear equation in one variable. Key terms: solving linear equations

- Concise video on how to solve a simple rational equation. Key terms: cross multiplying, fraction, factoring denominator, least common denominator, lcd, check

**Solving a Rational Equation for a Parameter**

- Concise video on how to solve a simple rational equation for a parameter. Key terms: rational equation, parameter, variable, lcd, least common denominator

**Solving an Equation with Radicals**

- Concise video on how to solve an equation with a square root. Key terms: radical equation, squaring both sides

**Applications of Linear Equations**

- Concise video on how to write equations for and graph word problems. Key terms: word problem, equation

**Applied Linear Equations: Consecutive Numbers**

- Concise video on how to solve a problem involving consecutive integers. Key terms: consecutive numbers

**Applied Linear Equation: Geometry Problem**

- Concise video on how to find the angles of a triangle by creating a linear equation. Key terms: word problem, angle measure

**Applied Linear Equation: Distance Problem**

- Concise video on how to find the speed of transit when the time of two different legs is known. Key terms: distance, rate, time, word problem

**Applied Linear Equations: Tax Problem**

- Concise video on how to solve a word problem about finding the tax on a purchase. Key terms: word problem, tax

**Applied Linear Equation: Investment Problem**

- Concise video on how to solve an interest problem when given the total amount deposited. Key terms: word problem, investment, interest

**Applied Linear Equations: Mixture Problem**

- Concise video on how to solve a mixture problem when the size difference between the two containers is known. Key terms: word problem, mixture

**Applied Linear Equation: Collection Problem**

- Concise video on how to solve a word problem about how many dimes and quarters it takes to make a certain denomination. Key terms: collection, change, coins, dimes, quarter, word problem, denomination

**Solving for a Parameter in an Applied Linear Equation**

- Concise video on how to solve for the radius in the circumference formula. Key terms: solving for a parameter, factoring, variable

- Concise video on how to solve linear inequalities. Key terms: linear inequalities, less than, greater than

- Concise video on how to find a test score to keep the class grade at least 90%. Key terms: applied linear inequality, word problem, average score, test, word problem

**Graph Work and Co-ordinate Geometry**

**Rectangular Co-ordinate System**

- Concise video on how to talk about the rectangular coordinate system. Key terms: rectangular coordinate system, xy-axis, quadrant, points on a line, finding intercepts

- Concise video on how to find the midpoint of two points. Key terms: midpoint formula

**Slope-Intercept form of a Line**

- Concise video on how to graph a line in slope-intercept form. Key terms: slope-intercept, y=mx+b, graphing a line

- Concise video on how to use point-slope form of a line. Key terms: point-slope form, equation of a line

**Finding the Slope of a Line from an Equation**

- Concise video on how to use the slope-intercept form of a line. Key terms: slope, slope-intercept form, y intercept

**Finding the Slope of a Line from a Graph**

- Concise video on how to find the slope of a line if given a graph. Key terms: slope, change, ratio, fraction, slope triangle

- Concise video on how to graph a first degree polynomial Key terms: linear equation

- Concise video on how to talk about a parabola. Key terms: parabola, vertex, axis of symmetry

**Finding the Vertex of a Parabola by Completing the Square**

- Concise video on how to find the vertex of a parabola. Key terms: vertex form, completing the square, parabola

- Concise video on how to define function notation. Key terms: function notation, f(x)

**Shape, Space and Measure**

**Constructing the Perpendicular Bisector**

- Concise video on how to construct a midpoint and how to define a perpendicular bisector. Key terms: construction, midpoint, perpendicular bisector, equidistant

**Data and Statistics**

- Concise video on how to distinguish between mean, median and mode. Key terms: measures of central tendencies, mean, median, mode, average