About this topic
Before you begin
Plot coordinates, read straight-line gradients and use tables and symmetry to find features of quadratic graphs.
Learning goals
- Plot given integer coordinate pairs
- Draw a given integer-coefficient line on a stated interval
- Read and plot ordered coordinate pairs
- Interpret and draw graphs of functions
- Find and interpret a graph gradient
- Draw a given integer-coefficient quadratic on a stated interval
- Find the gradient of a straight-line graph from points on it
- Read the turning point of a quadratic graph and whether it is a maximum or a minimum
Syllabus statements covered
- Cartesian coordinates in two dimensions
- Graph of a set of ordered pairs as a representation of a relationship between two variables
- Linear functions (y = ax + b) and quadratic functions (y = ax² + bx + c)
- Graphs of linear functions
- The gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)
- Graphs of quadratic functions and their properties ∗ positive or negative coefficient of x^2 ∗ maximum and minimum points ∗ symmetry
- Cartesian coordinates in two dimensions
- Graph of a set of ordered pairs as a representation of a relationship between two variables
- Linear functions (y = ax + b)
- Graphs of linear functions
- The gradient of a linear graph as the ratio of the vertical change to the horizontal change (positive and negative gradients)
- Quadratic functions (y = ax^2 + bx + c) <Sec 4>
- Graphs of quadratic functions and their properties <Sec 4>
- Positive or negative coefficient of x^2
- Maximum and minimum points
- Symmetry
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