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breakthrough was a termly resource for teachers published between 1999 and 2001. Each edition highlighted a number of discoveries and inventions and the people who made them. This edition was published in May 2000. Each edition of breakthrough included feature articles and regular items such as profiles of key...

This lesson develops the concept of using trigonometry to model a real-world situation. In particular students will:

  • Model a periodic situation, the hight of a person on a Ferris wheel using trigonometric functions
  • Interpret the constants a, b, c in the formula h = a + b cos ct in terms of the...

This mini-course from the Nuffield Exploratory Data Skills Project: Making Sense of Data is an introduction to collecting, organising and interpreting data.

This mini-course consists of five units:

Where does the money go? is an introduction to looking at tables of data. It includes...

The materials in this resource are from the Secondary National Strategy ‘Progressing to Level 6 and beyond in science’ project. They were intended for science teachers who are focusing on developing writing in science – specifically explanations, arguments and descriptions.

These materials consist of general...

In this activity, students are required to find the mean, median and mode from a data set, from a frequency table, from a grouped frequency table containing continuous data and from a grouped frequency table containing discrete data.

This resource is part of the Making Stats Vital collection from Jonny...

In this Bowland assessment task, students consider two different methods for converting temperatures from degrees Celsius to degrees Fahrenheit. Students have to select a way of comparing the two methods, explore the effects of varying temperature, make accurate calculations and devise a method of deciding when the...

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Students are presented with two mobile phone tariffs and have to explore at what point one tariff becomes better value than the other. They have to select a way of comparing the tariffs using appropriate graphs or tables, work systematically to explore the effects of changing the amount of time the phone is in use...

This Teachers TV programme observes a Year Four class at a Bristol primary school where teacher Simon Mills uses the problem of the distribution of colours in a tube of sweets to explore the challenge of understanding frequency and interpreting and presenting data. The class worked in the school's ICT suite over...

In this Bowland assessment task, students are asked to organise a trip to the airport for 75 people. A combination of small and large taxis can be used. Students are told how many people each taxi can hold and how much each taxi costs and are required to find the cheapest solution. Students select a suitable...

A useful guide to presenting data

A Year Ten module from the Salters’ double award science course. The story-line for this unit is the whole world market for manufactured chemicals and the need to transport them safely to where they are needed. This shows the importance of systems which convey concise,...

The first video explains why data is represented in binary using examples of RAM, a hard disk, optical disks and solid state memory.

The second video illustrates simple circuits built using components to create AND, OR and NOT logic gates.  GCSE students need to be able to combine gates to create more...

What is the immune system and how does it know you are you?

Annotated diagram of a eukaryotic cell explaining what the organelles of an animal cell do.

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