# Secondary Maths - Brightstorm: Higher GCSE

#### 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

Introduction to Real Numbers

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

Properties of Real Numbers

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

Direct Variation

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

Indirect Variation

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

Joint or Combined Variation

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

Rationalising the Denominator

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

#### Algebraic Expressions and Equations

Multiplying Polynomials

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

Solving Linear Equations

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

Solving a Rational Equation

• 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

Solving Linear Inequalities

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

Applied Linear Inequalities

• 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

Midpoint Formula

• 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

Point-Slope Form of 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

Basic Polynomial Graphs

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

Introduction to Parabolas

• 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

Function Notation

• 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

Analysing Data

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