Countries charge for planes to fly through their airspace even if the plane does not land. Different countries levy different charges, therefore plane companies consider a number of different routes and calculate the associated charges with each route. The formula used to fly over Europe is considered and an...

This package of Core Maths resources ask students to produce a quote for a building a garden following a simple plan. Students are asked to use volume and area calculations, unit conversions and create precedence table and activity network.

Garden design: Overview
This teacher guide...

This Save Earth resource presents a critical path analysis problem. It is designed to be used as an additional resource and fun example when teaching critical path analysis. Students are required to interpret and communicate solutions in the context of the original problem, understand, interpret and extract...

This video explains how nucleation in impure water helps it to transition from liquid to solid, yet in very pure water this is far harder.  Supercooled water (water cooled below its freezing point, yet still liquid) is made. The bottom of the bottle is hit against a table and ice crystals instantly form.  This is...

A Catalyst article describing the species that have had the greatest impact on planet Earth during its billions of years of history. Which come out on top of the 'league table of life'? As hominids have only walked the Earth for part of its existence the article looks at the history of life, from the dawn of...

In this Core Maths task students explore the question ‘On average, how many throws does it take to throw a six?’ Through this activity students can gain an understanding of ‘expectation’ as well as learning how to calculate summary statistics when the data is given in a frequency table.

Throwing a...

This Catalyst article looks at how exercise affects our immunity and susceptibility to infection. Recent research indicates that a person's level of physical activity affects their immune function, influencing their risk of respiratory tract infections such as a cold. Whereas moderate levels of regular exercise...

In this lesson students examine whether reports of extreme cold weather provide evidence that global warming is not happening. They look at the New York Times graphs of summer temperature distributions for the northern hemisphere for different periods and interrogate/critique these graphs.

Students will read...

This animated video describes how Einstein’s field equations led to the cosmological constant, which was later shown to be incorrect.  However, Friedmann and Lemaitre found solutions to Einstein’s equations, if the universe was still expanding.  Hubble found evidence from the red-shift of galaxies that the universe...

The mathematical solution explains how to solve the equation: 6 cos²x +7sinx = 8 for x between 0 and 4π radians. The equation is rearranged to make the equation 6 cos²x +7sinx - 8 = 0 then the identity sin² x + cos...

In this Core Maths resource students are asked to evaluate the offers and figures from three banks in order to decide which one is best for their company to borrow from. The resource involves students calculating the interest incurred using an Excel spreadsheet.

Borrowing money: Lesson Plan...

The Nuffield Foundation provides this resource which shows students how, given a set of measurements along an irregular coastline, it is possible to approximate the area of land which is lost to coastal erosion over a period of time. Coastal erosion A - this activity uses the context of coastal erosion to introduce...

This Catalyst article looks at how people lived in the past, archaeologists look at the items (artefacts) these cultures left behind. Using chemical analysis of residues in the artefacts an enormous amount of additional information can be gleaned. This article investigates early dairy farming. Analysis of tiny...