A variety of trigonometric equations which can be solved using inverse operations.

Practice using the log rules to add and subtract logarithms

Factorising polynomials using the highest common factor

Calculating the derivative of a function of the form $ax^n \ln(bx)$ using the product rule.

Find the derivative of a function of the form $y=a \sin(bx+c)$ using a table of derivatives.

Practice using the log rules to add and subtract logarithms

Solve equations involving logs and exponential functions, by using inverse operations.

Homework set.  Find 2-D moments or balance moments using Verignon's theorem:  $ M = \pm F_x d_y \pm F_y d_x$

Calculating the derivative of a function of the form $(ax+b)^n$ using the chain rule.

Homework set.  Determine the moment of a force using the definition of the moment, $M = F d_\perp$.

Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.

Homework set.  Rigid body equilibrium solved using the three-force body principle.

Factorising polynomials using the highest common factor.

Adapted from 'Factorisation' by Steve Kilgallon.

Calculate the moment of a force about three points using Verignon' theorem.  All forces and points are in the same plane.

Determine a finite sum and a limiting sum of a geometric series written using sigma notation. I'm not sure how to eliminate rounding errors...

This creates a 4x4 times table grid using numbers from 2 to 9. The step gives some advice on how to work out times tables (products, multiplications) if you can't remember them.

Find the tension in a rope necessary to prevent a bracket from rotating by applying $\Sigma M = 0$.

Calculate the moment of a force about three points using the definition of a Moment.  All forces and points are in the same plane.

Determine the moment of a force about a point by using $M= F d_\perp$ or $M = F_\perp d$.

Using the unit circle definition of sin, cos and tan, to calculate the exact value of trig functions evaluated at angles that depend on 0, 30, 45, 60 or 90 degrees.

Homework set.  Trusses solved using the method of sections

Homework set. Find the forces in truss members using the method of joints.

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non-Calculator strand. Students are shown an image of a thermometer calibrated in degrees Celsius. Student must answer a question using the thermometer. The image is randomly selected from a pool of 4. There are two different potential questions for each thermometer. Hence 8 different questions in total.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non-Calculator strand. Students are shown an image of a thermometer calibrated in both degrees Celsius and degrees Fahrenheit. Student must answer a question using the thermometer. The image is randomly selected from a pool of 3. There are two different potential questions for each thermometer. Hence 6 questions in total.

This question uses a Geogebra applet to solve a linear program with two variables using the graphical method. It contains three steps:

1. Construct the feasible area (polygon) by adding the constraints one by one. The students can see what happens when the constraints are added.
2. Add the objective function, and the level set of the objective value is shown, as well as its (normalised) gradient.
3. Compute the optimal solution by moving the level set of the objective around.

Using prefixes - milli and micro.

Using prefixes (milli) in this case.