Straight lines and vectors
Designed to resource a program of study of 1-2 hours for grade B-C GCSE candidates who want to bridge the gap between GCSE and AS Level. The objectives are listed followed by the appropriate resources (click on the links below to scroll straight to the desired unit.)
- Download the lesson plan [straight line graph work and vectors]
- Download all resources for Straight Lines and Vectors (zip file)
- ... or download them individually, as outlined below ...
Straight lines
Objectives:
- To be able to understand and calculate what m and c represent in the equation y = mx + c
- To find the equation of a straight line from looking at a graph
- To be able to calculate the gradient from a graph and understand negative and positive gradients
- To be able to plot a graph from a linear equation
- To find the equation of a straight line knowing two coordinates –
- To be able to plot a graph from an equation by finding the y and x intercepts on a graph –
Resources:
- Finding equations of straight lines from graphs [presentation]
- Finding the equation of a graph from 2 points [presentation]
- Plotting linear graphs by determining the intercepts [presentation]
- Worksheet-straight line graphs [Word document]
Vectors
Objectives:
- To understand the term vector and that it represents both size and direction
- To be able to describe vectors using vector notation
- To know and understand the two different forms vectors can be written in, either capital letters or small letters with a positive or negative sign
- To understand what a scalar is and be able to multiply a vector by a scalar
- To be able to calculate the position vector of the midpoint of a line
- To be able to calculate the position vector of a line that has been cut by a ration