apt4Maths: PowerPoint Presentation (Lesson 10 of 11) on Graphs - TRANSFORMING GRAPHS

PowerPoint Presentation on Transforming Graphs (9 slides): Explains the 4 main ways of transforming graphs: moving up / down, moving across, reflecting in the x-axis, and reflecting in the y-axis.

This is 1 of a set of 11 PowerPoints on ‘Graphs’. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes:

Lesson objectives
Step-by-step explanations of the subject matter
Examples to aid understanding
Questions to check understanding
Answers to questions, with explanations
Suggestions regarding which topic(s) should be moved on to next.

This complete set of 11 PowerPoints (193 slides, excluding Title Pages) can be purchased at a discounted price from www.apt-initiatives.com and covers the following topics relating to ‘Graphs’:

01 Introducing Functions (15 slides): Explains how to use function machines to find outputs and inputs, how to use functions to find mappings, and how to find and use inverse functions.
02 Composite Functions (13 slides): Reviews previous work on functions and explains how to find composite functions.
03 Co-ordinates (19 slides): Explains how to plot and read off co-ordinates in all 4 quadrants and how to find and use co-ordinate midpoints.
04 Plotting Graphs (16 slides): Explains the different types of graphs; Reviews substitution (using formulae) and co-ordinates; Explains how to plot graphs (straight and curved), and outlines the shapes of linear, quadratic, cubic, reciprocal and trigonometric (eg sine wave) graphs.
05 Gradients & Intercepts (20 slides): Explains how to find the x-axis and y-axis intercepts of straight or curved lines, and how to find the gradients of straight lines and tangents of curves, in order to sketch a graph.
06 Straight Line Graphs (22 slides): Explains how to find and use the equations of straight line graphs.
07 Parallel & Perpendicular Graphs (15 slides): Explains how to spot and find the equations of parallel lines, how to find reciprocals, and how to find the equations of perpendicular lines.
08 Circle Graphs (18 slides): Explains how to plot or sketch a circle graph, how to find the equation of a circle graph, and how to find the equation of a tangent to a circle graph.
09 Trigonometric Graphs (14 slides): Explains how to plot and recognise trigonometric graphs for sine, cosine, and tangent, and explains amplitude and wavelength and how these can be changed to transform trigonometric graphs.
10 Transforming Graphs (9 slides): Explains the 4 main ways of transforming graphs: moving up / down, moving across, reflecting in the x-axis, and reflecting in the y-axis.
11 Real-life Graphs (22 slides): Explains how to plot, use, and interpret graphs that represent real-life situations, including conversion graphs, distance-time graphs, and velocity-time graphs.