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

Level 2 Algebra and graphs

Modelling a test drive  

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

Slides (1.9 MB)              
Student data      
Student Word   
Student pdf  
Teacher Word   
Teacher pdf   
Answers       

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.

Slides                   
Student Word   
Student pdf  
Teacher Word   
Teacher pdf 

 

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. 

Slides (1.2 MB)  
Graphs Excel 2007 (23 KB)  
Student 2007 (597 KB)            Student 2007 pdf (815 KB)    
Teacher notes Word (207 KB)   Teacher notes pdf (457 KB)  

 

Factor cards

Learners practise expanding brackets and/or factorising quadratic expressions.   
Slides 
Student cards set 
Student cards set pdf   
Student sheets
Student sheets pdf 
Teacher notes 
Teacher notes pdf 

Hot water tank: formulae 

Students learn to substitute values into formulae, and to use a calculator to evaluate expressions.  
Slides (1.5 MB)  
Student sheets Word
Student sheets pdf   
Teacher notes Word    
Teacher notes pdf  

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. 

Slides (1.2 MB)  
Student sheets Word
Student sheets pdf   
Student cards Word

Student cards pdf   
Teacher notes Word    
Teacher notes pdf  

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. 

Slides (1.2 MB)              
Graphs  (49 KB)
        
Student Word (848 KB)   
Student pdf (832 KB)  
  
Teacher Word (207 KB)   
Teacher pdf (457 KB)  

Speed and distance

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

Slides (1.2 MB)  
Student sheets Word (152 KB)  
Student sheets pdf (693 KB)
   
Teacher notes Word (104 KB)   
Teacher notes pdf (510 KB)

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. 

Slides (2.1 MB)  
Student data (140 KB)  
Student sheets (152 KB)        
Student sheets pdf (693 KB)  
Teacher notes Word (172 KB)  
Teacher notes pdf (482 KB)

Spreadsheet graphs

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

Spreadsheet (220 KB)
Student sheets for Excel 2007 (308 KB)
Student sheets for Excel 2007 pdf (775 KB)
Teacher notes Word (181 KB)   Teacher notes pdf (579 KB) 

Large and small

This activity introduces standard form and shows students how to use it in real life contexts.
Slides LARGE FILE SIZE (3.3 MB)
Student sheets Word (557 KB) 
Student sheets pdf (638 KB)
Teacher notes Word (81 KB) 
Teacher notes pdf (457 KB) 

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.  

Slides (1.5 MB) 
Students sheets Word (216 KB)  
Student sheets pdf (633 KB) 
Teacher notes Word (158 KB)    Teacher notes pdf (461 KB)