This single page training app is to give practice of adding, subtracting, multiplying and dividing fractions.
Each time the user clicks on "Next Question" the trainer presents a random fraction calculation and four possible answers, only one being correct.
As shown by the two views clicking "mode" changes the look of the fractions from normal to mixed numbers. This can help users get to the correct answer quicker.
Trig graph trainer
This trainer, when "Next Question" is clicked presents a randomly generated trigonometric graph. It can be sine, cosine, or tangent: and its period can vary from one to three cycles in 360 degrees.
With use the student soon recognises the different graphs and the meaning of multipliers in front of the trig ratio and in front of the variable 'x'.
Trigonometry is an important skill, especially when using Maths, Science and Technical subjects. From the exploration of waves to the behaviour of electricity, trigonometry gives the mathematician, scientist or engineer the tools to design and predict the behaviour of a multitude of systems.
By selecting the correct answer, "YOU DECIDE" becomes "CORRECT". A poor answer gives "INCORRECT" and also superimposes what that incorrectly selected graph would look like, compared to the one given.
As shown on the left, the user selected B as the answer. This was INCORRECT, and the grayed out graph for sin(x) is superimposed: of course the student should have chosen answer C to get it CORRECT.
A notoriously difficult to grasp part of the Maths curriculum but very important in understanding many parts of science and engineering.
The trainer has four practice pages, getting progressively harder as the user gains confidence. Each page has a ? button that takes the student to an associated HELP page (giving 8 pages in total).
The first page gives the student practice in mentally working out logarithm values.
The example shown requires understanding that 10 to the power of (-1) has the value 0.1: which is another way of realising that working out the logarithm is to find the power that the base has to be raised to.
Page 2 of the log trainer can be accessed from page 1 by clicking ">".
This page reinforces the theme from page 1 by asking the user to add two log values together.
As well as giving practice in logs and integer arithmetic, this practice should underline that adding logarithms is the same as multiplying the values.
The log of 10 is 1, the log of 1 is 0. Adding one and zero gives one. 10 to the power of one is 10. This is the same as saying 10 x 1 = 10.
Again a questionmark button gives access to a HELP page.
The green tick for answer D shows that the student of logarithms selected the correct answer '1'.
This page familiarises the student of logarithms with the log graph. This page trains the user to understand the relationship between different values on the log graph.
Each time "Next Question" is clicked, a new base is given (here it is 4) and the red cross is relocated on the curve. The user is trained to work out which value should replace the questionmark.
In this example, the user should be asking themselves either:
what value to the base 4 has a log of 1? or: 4 to the power of 1 gives me what?
4 to the 1 gives 4, therefore A is the CORRECT answer.
Using logarithms turns multiplication calculations into additions. Using logarithms turns division calculations into subtractions. Using logarithms turn power and exponent calculations into multiplications or divisions.
Calculations are simplified by understanding how logarithms work.
The graphs on page 4 are non-linear, however they can be made linear (or straight line) by applying the laws of logarithms.
In the example shown the equation of the curve would normally be written y = ax^b (or y equals a times x to the power b) but it is now of the form Y = Mx + C after applying logarithms to both sides of the equation
Page 4 HELP PAGE
This screen shows the help page for Page 4, with its scroll bar showing that there is quite detailed help, and a return button to get back to Page 4 practice.
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