3.3
Graphs
Straight lines; gradient; conversion graphs; quadratic/cubic/reciprocal graphs; solving equations graphically.
Syllabus Statements
- Interpret information presented in a range of linear and non-linear graphs
- Understand and use conventions for rectangular Cartesian coordinates
- Plot points (x, y) in any of the four quadrants or locate points with given coordinates
- Determine the coordinates of points identified by geometrical information
- Determine the coordinates of the midpoint of a line segment, given the coordinates of the two end points
- Draw and interpret straight line conversion graphs
- Find the gradient of a straight line
- Recognise that equations of the form y = mx + c are straight line graphs with gradient m and intercept on the y-axis at the point (0, c)
- Recognise, generate points and plot graphs of linear and quadratic functions
3.3.1 Plotting Points and Graphs
Corbett Maths · Video
Real Life and Distance Time Graphs Video
Corbett Maths · Video
Drawing Other Graphs: Cubic/Reciprocal Video
Corbett Maths · Video
Gradient of a Line Video
Corbett Maths · Video
Equation of a Line Video
Corbett Maths · Video
Inequalities on Graphs Video
Corbett Maths · Video
Transforming Graphs y=f(x) Video (Part 2)
Corbett Maths · Video
Drawing Linear Graphs
3.3.2 Real Life Graphs
Corbett Maths · Video
Real Life and Distance Time Graphs Video
3.3.3 Midpoint of a Line
Corbett Maths · Video
Midpoint of a Line Segment
3.3.5 Gradient of a Line
3.3.6 Equation of a Line
3.3.7 Parallel and Perpendicular Lines
Corbett Maths · Video
Parallel and Perpendicular Lines
3.3.8 Drawing Quadratic Graphs
Corbett Maths · Video
Drawing Quadratic Graphs
3.3.9 Cubic, Exponential and Reciprocal Graphs
3.3.10 Trig Graphs
Corbett Maths · Video
Trigonometric and Exponential Graphs