1 Consider graphs of five functions and behaviour for Sketch graphs to 0<x<1 Free powerpoints with examples represent real You will need colour copies of the graphs image. and modelling. References processes Edexcel textbook. Students will be familiar with function notation, reciprocal Students can be registered free OR graphs and proportion from Higher GCSE though they to practise Edexcel past paper will require further experiences of these topics and a questions or relevant MAT more rigorous treatment. questions. Asymptotes can be explored numerically alongside the graph - the idea of approaching a limiting value is met in many topics later in the course. 2 Exploring features of Find curves that meet given graphical criteria. Explore graphs of functions cubic graphs and Reviews factor theorem and emphasises key features of relating to factor polynomials and how they relate to graphical features. theorem Encourage students to consider the shape and OR features of the graphs and try to distance them from the need to plot. Starter Main teaching Notes Consolidation/Plenary Including key questions, key teaching points, models and resources Including Support and Extension Including key questions and homework 3 Looking at ways to Use the dynamic facility of graphing software to develop Students should recall identify a quadratic a feel for the effect of transformations; it can be used to translations and reflections of equation from a cover many examples in a short time. functions from GCSE (but (From All Maths which Reflections and translations of graphs will have been met perhaps not if not in highest requires registration but is free.) at Higher GCSE. attaining groups- begin by GCSE questions on checking perhaps using transforming functions Diagnostic Questions Consider features of a graph as it is transformed Higher GCSE Transforming (MAT question) functions). (A level question 1988) Uses piecewise graphs and tables of values to reinforce Use GCSE resources to how functions are transformed. support those who need to Free power point with examples catch up. and modelling. References Edexcel textbook. You would need Autograph licenses to use these Integral (Graphs and Students can be registered free activities Transformations) has to practise Edexcel past paper exercises and Geogebra 4
1 Sketch graphs to represent real processes OR Consider graphs of five functions and behaviour for 0<x<1 You will need colour copies of the graphs image. Students will be familiar with function notation, reciprocal graphs and proportion from Higher GCSE though they will require further experiences of these topics and a more rigorous treatment. Asymptotes can be explored numerically alongside the graph - the idea of approaching a limiting value is met in many topics later in the course. Free powerpoints with examples and modelling. References Edexcel textbook. Students can be registered free to practise Edexcel past paper questions or relevant MAT questions. 2 Exploring features of cubic graphs and relating to factor theorem OR Find curves that meet given graphical criteria. Reviews factor theorem and emphasises key features of polynomials and how they relate to graphical features. Encourage students to consider the shape and features of the graphs and try to distance them from the need to plot. Explore graphs of functions Starter Main teaching Including key questions, key teaching points, models and resources Notes Including Support and Extension Consolidation/Plenary Including key questions and homework 3 Looking at ways to identify a quadratic equation from a Use the dynamic facility of graphing software to develop a feel for the effect of transformations; it can be used to cover many examples in a short time. Reflections and translations of graphs will have been met at Higher GCSE. Consider features of a graph as it is transformed Uses piecewise graphs and tables of values to reinforce how functions are transformed. You would need Autograph licenses to use these activities Students should recall translations and reflections of functions from GCSE (but perhaps not if not in highest attaining groups- begin by checking perhaps using Diagnostic Questions Higher GCSE Transforming functions). Use GCSE resources to support those who need to catch up. Integral (Graphs and Transformations) has exercises and Geogebra (From All Maths which requires registration but is free.) GCSE questions on transforming functions (MAT question) (A level question 1988) Free power point with examples and modelling. References Edexcel textbook. Students can be registered free to practise Edexcel past paper 4
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