You can find instructional videos by clicking on: topics in the table of contents below, the categories to the right, the tags to the right and down, or by searching in the search bar to the right and up.
- Essential Algebra
- 1 – Substitution, like terms, expanding, binomials, fractions, absolute values, index laws
- 2 – Factorising, substitution, surds
- 3 – Changing the subject of formulas, solving linear equations, solving quadratic equations
- 4 – Linear equations and straight lines, gradient/slope, intercepts, gradient intercept form of a line, one point gradient formula, two point equation of a line, general form of a line, midpoint, distance
- 5 – parallel and perpendicular lines, simultaneous equations, surds
- 6 – Relations and functions, domain, range, independent/dependent variables, vertical line test
- 7 – Examples of functions, piecewise, absolute values, polynomials
- 8 – Exponential functions, logarithmic functions, log laws
- 9 – Solving exponentials, inverse functions
- 10 – Trigonometric ratios, identities, cosine and sine rules
- 11 – Unit circle for trig functions, reference/special triangles, radians, arc length, area of a sector
- 12 – Graphs of trig functions, shifts, modelling, solving equations
Learning and Practicing Mathematics via the Internet
The Khan Academy, available at http://www.khanacademy.org/, has over 2600 videos, many of which are mathematics. You can watch videos without logging in, but signing up only requires a Google account or a Facebook account and means your activity is recorded so that points and badges are earned by watching videos.
When each problem in the video is presented you should pause the video and attempt to solve the problem yourself. Once you have had an attempt or two, continue watching the video to see the approach taken by the presenter. At the end of the video you can often click the green ‘Practice this concept’ button above and to the right of the video.
Some of the videos start very basic and progress, some are just basic as an introduction for the next video, but if you can’t understand something in the video, there is help available. You could leave a comment on the post that sent you to the video, leave a comment on the video in the Khan Academy, search YouTube (Bullcleo1, AlRichards314 and PatrickJMT are some recommended channels) or other sites for another explanation.
GAIM Foundational – Getting Ahead in Mathematics Foundational – MATH1002 University of Newcastle, Australia