# Graphs

A selection of resources.

Click on the title of the resource to expand the section for a description. Clicking on the green button within the description will take you to the resource. A summary of the topics covered is included in the blue box within the description.

## Level 2 Algebra and graphs - road tunnel (Nuffield Foundation)

This resource is from a collection of activities aimed at level 2 FSMQ. You may need to scroll down the page a little to find the work called "road tunnel". This activity is about using graphical and algebraic methods to solve problems in real contexts that can be modelled using quadratic expressions. The resource uses Excel.

**Topics:** Graphs - in context (Plot Graphs including polynomial and reciprocal)

## A Measure of Slope (Mathematics Assessment Resource Service)

This is one of many resources produced by the Shell Centre at the University of Nottingham for the MARS project in the USA. There are comprehensive teacher notes and excellent student resources introducing the concept of gradient as a measure of slope. The teachers’ notes are particularly useful to anyone wishing to get to grips with the big idea(s) behind the topic.

**Topics:** Graphs - Y=mx+c (parallel and perpendicular lines)

## Interpreting Distance-Time Graphs with a Computer A5 (National STEM Centre)

This section from the Standards Unit covers distance/time graphs. It has notes and suggestions for teachers on how to use the interesting resources including a computer program.

**Topics:** Graphs- Distance-time graphs

## Interpreting Distance – Time Graphs A6 (National STEM Centre)

This section from the Standards Unit covers distance/time graphs. It has notes and suggestions for teachers on how to use the interesting resources. This follows on from unit A5.

**Topics:** Graphs- Distance-time graphs continued

## Circle Equations (Math is Fun)

This webpage covers the equation of a circle in factorised form (referred to as standard form on the page) and expanded form (referred to as general form on the page). The page explains how to manipulate from expanded form to factorised form using completing the square. There are also questions to try.

**Topics:** Graphs- Equation of a circle

## Interpreting Equations (Mathematics Assessment Resource Service)

This is one of many resources produced by the Shell Centre at the University of Nottingham for the MARS project in the USA. There are comprehensive teacher notes and excellent student resources. This resource provides a lovely introduction to functions by offering questions which make students think. There are a number of later resources which build on these foundations. The teachers’ notes are particularly useful to anyone wishing to get to grips with the big idea(s) behind the topic.

**Topics:** Graphs- Functions and equations

## Level 2 Algebra and graphs - modelling a test drive (Nuffield Foundation)

This resource is from a collection of activities aimed at level 2 FSMQ. You may need to scroll down the page a little to find the work called "modelling a test drive" the resource includes teachers’ notes, students’ sheets and a powerpoint. This is a nice introduction to modelling using quadratic and other graphs.

**Topics:** Graphs- Using linear and quadratic function in real life

## Level 2 Algebra and graphs - hire a coach (Nuffield Foundation)

This resource is from a collection of activities aimed at level 2 FSMQ. You may need to scroll down the page a little to find the work called "hire a coach". The activity starts with linear graphs, introduces the concepts of gradient and intercept, then asks the students to relate these to the values in the formula and the context. The resource uses excel.

**Topics:** Graphs -Using Linear graphs

## Quadratic Equations (Math is Fun)

This webpage covers all the main points including some which are A level content, such as the discriminant. The descriptions are concise and there is a tool which allows you to play with the coefficients to investigate their effect. This page covers a lot of content, more than two or three lessons, there are links to other pages to study some aspects in greater depth or clarify terms.

**Topics:** Quadratic graphs – properties, sketching, Completing the square, Quadratic formula.

## Lines and Linear Equations (Mathematics Assessment Resource Service)

This is one of many resources produced by the Shell Centre at the University of Nottingham for the MARS project in the USA. There are comprehensive teacher notes and excellent student resources examining lines, their equations and the meaning of the gradient in a variety of graphs. The teachers’ notes are particularly useful to anyone wishing to get to grips with the big idea(s) behind the topic.

**Topics:** Real life graphs, gradient

## Functions and Everyday Situations (Mathematics Assessment Resource Service)

This is one of many resources produced by the Shell Centre at the University of Nottingham for the MARS project in the USA. There are comprehensive teacher notes and excellent student resources. This resources looks at sketching graphs of situations and linking graphs, tables and equations.

## Level 2 Data handling - plumber's call out (Nuffield Foundation)

This resource is from a collection of activities aimed at level 2 FSMQ. You may need to scroll down the page a little to find the work called "plumber's call out". The resource includes teachers’ notes, students’ sheets and a powerpoint. This is a nice introduction to the concept of straight line graphs, reading information from graphs, plotting points and setting up a graph with scaled axes, labels etc.

**Topics:** Straight line graphs in context