Application of the Poisson distribution given expected number of events per interval.

Finding probabilities using the Poisson distribution.

rebelmaths

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

The subtraction algortihm using the borrow and pay back method with integers.

A single question which asks you to round to the nearest ten, hundred or thousand. 

The simplest case. Divisor is single digit. There is no remainder. 

Divisor is single digit. There is a remainder which we express as a decimal by continuing the division process. No rounding is required by design (another question will include rounding off).

Divisor is single digit. There is a remainder which we express as a decimal by continuing the division process. Rounding is required to one decimal place. The working suggests determining the second decimal place so the student knows whether to round up or down.

Divisor is single digit. There is a remainder which we express as a fraction. 

Subtracting a decimal with 3 decimal places from a decimal with 2 or 3 decimal places. borrowing is necessary. This was modified from a subtraction question using integers with each number divided by 1000 so the variables have names referring to ones, tens, hundreds etc.

a) Multiplying decimals with a single non-zero digit. Students are told to preserve the number of decimal places (from the question to the answer). 

b) Multiplying decimals requiring the multiplication algorithm. 

Shows how to use JSXGraph to make a sine graph with amplitude, frequency and phase controlled by sliders.

Find the reactions of a rigid body (a triangular plate) at a pin and roller, using the three-force body principle.

a) Multiplying decimals with a single non-zero digit. Students are told to preserve the number of decimal places (from the question to the answer). 

b) Multiplying decimals requiring the multiplication algorithm. 

HELM Book 1.5.1: using formulae and substitution: task 1

Given 2 or 3 fractions such as A/(2x+5), add them.

There are 5 possible versions.

Shows how to switch to the 3D graphics view of a geogebra applet using an extension function.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

Two dimensional particle equilibrium problem.  Advice shows how to use how to use slope triangles to find sines and cosines, rather than finding the angle and using that.

This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

Find multiple solutions of sin

Working 26_10_16

Given the original formula the student enters the transformed formula

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

In the first part, the student must write an R function to compute the first $n$ terms of the series $\frac{1}{k!}$.

In the second part, they must use that function to calculate an approximation to $e$ using a given number of terms of the series.

The student must write code to compute the standard deviation of an unknown list of measurements.

The suggested answer uses numpy.std.