Identify the gradient and intercept
From a series of equations, identify the gradient and the intercept of each graph. In addition to this, when provided with the gradient and intercept, construct the equation of the graph.
Straight line graphs are all of the form y=mx+c. In this, y is the y-co-ordinate, x is the x-co-ordinate, m is the gradient and c is the y-intercept. Once you have this information, you can calculate the equation of a line, the equation of a line that runs perpendicular to your graph through a particular point, the equation of a line that runs parallel to your graph through a particular point. you can also use this equation to find if any co-ordinates are on the graph line in question.
From a series of equations, identify the gradient and the intercept of each graph. In addition to this, when provided with the gradient and intercept, construct the equation of the graph.
GCSE Exam questions on Graphs. Includes the mark scheme so print pages 1-27 for the examination questions only.
20 Question cards on linear graphs. If you print out three of each card, it should keep a class of children busy for a lesson or two.
Drawing a straight line graph video for Foundation GCSE mathematics.
Finding the equation of a graph video.
Once you have the original equation of a graph, you can calculate the gradient of a perpendicular line by finding the reciprocal of minus the gradient of the original graph. This video shows you how.
Find the equation of a graph by finding two points on the graph and calculating the gradient from those. In this version, you just look at the graph to find the y-intercept. It is a good introduction to straight line graphs but you need to do more for GCSE. The sheets that I used in this can be found here: sheet 1, sheet 2,sheet 3,sheet 4,sheet 5
Find the gradients of various linear graphs in order to practise for GCSE mathematics.
Solutions for the work in Gradients 1.
Calculate the gradient of a line given two points on the line.
Find the co-ordinates of two points and work out the gradient. Move on to work out the intercept to finalise your formula.
Help sheet for calculating the equation of a line. I have tried to point out some of the pitfalls on this sheet in order that the students might avoid them.
An introduction to finding the equation of a graph line. A video showing you what to do can be found here.
Further practice on the introduction to finding the equation of a graph line. A video showing you what to do can be found here.
Further practice on the introduction to finding the equation of a graph line. A video showing you what to do can be found here.
Further practice on the introduction to finding the equation of a graph line. A video showing you what to do can be found here.
Further practice on the introduction to finding the equation of a graph line. A video showing you what to do can be found here.
Calculate the values of x for given values of y for a given equation between two limits and then plot the graph.
Calculate the equation of a graph from seeing it, from two co-ordinates, from one co-ordinate and a gradient, from a parallel graph and a co-ordinate.
Label each line on the graph paper with its equation. Remember that vertical lines are x= something and horizontal lines are y= something.
Substitute the values of -8 to 8 into x to find the value or y. Draw the graphs.
Maths intervention on gradients talking the student through each stage.
Calculate the equation of a line parallel to anther one that goes through a point. Remember that parallel lines have the same gradient.
Given an equation and the limits, calculate the y co-ordinate for each x co-ordinate between the limits.