Nuffield Mathematics teaching resources are for use in secondary and further education

Level 2 (Higher) resources

Level 2 Financial calculations activities       


Pay as you earn
Students work out how much income tax is paid on typical earnings for a variety of jobs.

Simple and compound interest
Students use algebraic and spreadsheet formulae in Excel to calculate simple and compound interest.


Level 2 Shape and space activities

Pythagoras Theorem Students use Pythagoras’ Theorem to solve problems.

Errors examples in the context of shape and space used to:  
• find the upper and lower bounds of measurements, given the level of accuracy used
• consider how possible errors accumulate in formulae that involve measurements.

Suncatchers  Students consolidate their knowledge of the properties of two-dimensional shapes by working with stained glass designs. Students may enjoy designing their own suncatchers, perhaps as part of a collaborative project with art or design departments.

Victorian tiles Students learn about shape and space using patterns created by tessellating geometric shapes.

Shape sorter  Students learn about shape and space by designing a shape sorter. This activity may be particularly appropriate for those interested in a career in child care or teaching.

Perimeter and area   How much lawn feed is needed? Students find the perimeter and area of rectangles and shapes made from rectangles.

Plans   Students measure lengths from scale drawings then use ratio scales to find the actual lengths.

Drawing shapes in Word  Students learn how to draw and format basic shapes in Word.


Level 2 Data handling activities

Risky business  Students use official data about accidents to calculate relative frequencies and probabilities of different accidents occurring. Emphasis is given to the reliability both of the data and the conclusions that can be drawn.

Sports injuries  Students consider the difficulties in using real data to answer questions such as ‘Which is the most dangerous sport? Students discuss which types of statistical diagram are most appropriate for displaying the data before setting off to draw them. They may practise drawing statistical diagrams either using Excel or by hand.

Larks and owls  A very open investigation in which students may set their own statistical tasks based on sleep requirements. 

Shorter by helicopter  Students plot graphs of real data to compare the straight-line distances between towns with the distance by road.

Music Festival   Students use weather data to consider which month would be the best to hold an outdoor music festival.
They practise using either a calculator in Statistics mode or a spreadsheet to calculate mean and standard deviation values.

Pay rates for men and women - Excel activity  Students are shown how to draw and format cumulative frequency graphs in Excel.

Currency conversion An introduction to conversion graphs and direct proportionality in the context of currency conversion, reading and plotting graphs and calculating gradients. One question uses a spreadsheet.

Part-time work survey   A statistical investigation into students’ paid employment. Students design questionnaires, find averages and the range, and draw charts and graphs. Data analysis can be on paper or spreadsheets.

Plumber's callout   Students complete data tables, then draw, read and interpret linear graphs where the intercept on the y axis is not zero. Interpretation includes finding where two linear graphs meet. The last part requires a spreadsheet – omit if computers not available. For level 2 the work could be refocused to introduce algebraic graphs.

Five a day   Students collect data and then use statistical methods to analyse the results.

Heart rate   Students are shown how to measure their pulse rate. They then investigate the effect of other things like exercise and relaxation.


Level 2 Algebra and graphs activities

Modelling test drive  Students fit functions to graphs (linear and quadratic). They compare models and comment on their suitability.

Road tunnel  This activity is about using graphical and algebraic methods to solve problems in real contexts that can be modelled using quadratic expressions. There are different uses depending on student needs.

Hire a coach   Introducing linear graphs: this shows how to draw a graph using formulae in Excel. The activities then introduce the concepts of gradient and intercept, and ask students to relate these to the values in the formula and the initial information. 

Factor cards  Learners practise expanding brackets and/or factorising quadratic expressions.

Hot water tank: formulae Students learn to substitute values into formulae, and to use a calculator to evaluate expressions.

Goldfish bowl: rearrange formulae  Students practise rearranging formulae. There is a worksheet for individual work, or a set of cards for group work to develop this skill.

Plumbers' prices   Introduces simultaneous equations and their solution using a graph. The worksheet gives instructions for drawing graphs using formulae in Excel and solving simple simultaneous equations by finding the point of intersection.

Road test  Students use acceleration and braking data from a car road test to draw graphs. Students then interpret the graphs and make predictions about values which have not been plotted.

Speed and distance   Students explore the idea that the area under speed-time graphs can be used to find the distance travelled.

Spreadsheet graphs  This activity introduces the shape and main features of proportional, linear, inverse proportional, and quadratic graphs.  

Large and small    This activity introduces standard form and shows students how to use it in real life contexts. 

Linear graphs    An introduction to linear graphs, leading to the link between the constants in the standard form of the equation (y =mx + c) and the gradient and position of the line.