Level 2 Algebra and graphs
Students fit functions to graphs (linear and quadratic). They compare models and comment on their suitability
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.
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 2003 (49 KB) Graphs Excel 2007 (23 KB)
Student 2003 (848 KB) Student 2003 pdf (832 KB)
Student 2007 (597 KB) Student 2007 pdf (815 KB)
Teacher notes Word (207 KB) Teacher notes pdf (457 KB)
Students practise rearranging formulae. There is a worksheet for individual work, or a set of cards for group work to develop this skill.
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.
Students explore the idea that the area under speed-time graphs can be used to find the distance travelled.
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.
This activity introduces the shape and main features of proportional, linear, inverse proportional, and quadratic graphs.
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)
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.