The workbook contains a number of simulations designed to aid students understanding of the Binomial distribution.

Binomial distribution: simulated tossing a coin ten times. The probability of achieving 0,1,2… heads is calculated and displayed in a frequency table and a bar chart. The...

Most binomial questions define the binomial distribution and ask students to calculate the most likely value for x. In this activity, students are asked to explore whether the value for p can be found given the value for n and the most likely value for x. Subsequent pages of the presentation provide the solution to...

In this activity, students apply their knowledge of the binomial distribution to establish whether each of three rules, regarding the most likely outcome and the expected value, are true. The presentation contains a link to an applet which allows experimentation, and shows the binomial probabilities for various n...

This activity begins with the definition of the mean and the variance of a binomial distribution. Students are then challenged to take each definition and prove that they work for the binomial distribution B(3,p). The first task is for students to construct the probability distribution then calculate the mean and...

Sovon, a Dutch bird protection organisation, counts birds. The number of greylag geese is increasing. Students are asked to investigate whether this increase is worrying for the diversity of water bird species? Students explore what the concept biodiversity means, how it can be described mathematically and what are...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity for post-16 students demonstrates that if a link is suspected between a risk factor and an illness, statistical methods can be used to test whether such a link exists. Topic areas covered are:...

In this cluster of articles, students investigate aspects of plant biology and behaviour including chloroplast genes and how they have helped biologists understand plant evolution; how plants monitor the intensity, direction, colour and duration of the light they receive and if attacked by herbivores or pathogens...

This task assesses understanding of scatter diagrams. A scatter diagram is presented that shows the lengths and widths of the eggs of some American birds.

The task involves plotting additional points on the diagram, describing correlation, interpreting a point on the diagram, and estimating the width of an...

This task assesses scatter diagrams and lines of best fit.

A scatter diagram is shown of the length and width of birds eggs. There follows a series of five short tasks on:

• Plotting an additional data point
• Making a statement about correlation
• Making an estimate of width from a...

In this resource from CensusAtSchool. students compare data on month of birth from 45,000 South African students given in a table to the same data represented in a bar chart. Students are asked to consider reasons for month of birth and why it is appropriate to use percentages for large data sets.Students are then...

In this activity the goal is for students to understand how the regression line is chosen. Autograph has a built-in facility for showing the squares of the residuals and is required to make this task work. Students are asked to explore what the lines that give the sum of the y-on-x residuals equal to zero have in...

In this activity, students are challenged to produce a scatter diagram consisting of ten points that give a product moment correlation coefficient of exactly 0.99. Students are expected to appreciate that the points will lie almost exactly on a straight line with at least one point being slightly out. The answer...

This Core Maths resource includes data from which students can calculate correlation coefficients. The resources includes a card sort that matches up scatter-graphs, data tables and product moment correlation coefficients. 

The teachers' notes give detailed teaching suggestions on how to introduce and...

This series of activities from NASA take a mathematical approach to looking at black holes. They are intended as supplementary problems for students looking for additional challenges in the maths and physical science post-16 curriculum. Problems consist of a student page and an answer sheet. Students need to be...