Reading from graphs
I can read and interpret points from a graph to solve problems.
Reading from graphs
I can read and interpret points from a graph to solve problems.
Lesson details
Key learning points
- If you have one value, you can use a linear graph to find its pair.
- The pair of values will satisfy the linear equation.
- If the x and y variables have context, then their values can be interpreted within that context.
- With quadratic graphs, there may be more than one value to find.
Common misconception
Since linear equations (typically) have one solution, all equations have one solution.
Ask pupils to compare the graphical solution to a linear equation with the graphical solution to a quadratic equation. This will enable them to see that it is possible for a quadratic equation to have more than one solution.
Keywords
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Quadratic - A quadratic is a an equation, graph, or sequence whereby the highest exponent of the variable is 2.
Parabola - A parabola is a curve where any point on the curve is an equal distance from a fixed point (the focus) and a fixed straight line (the directrix).
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
$$(3, 0)$$ -
$$y=2x-6$$
$$(3, 1)$$ -
$$3y=x$$
$$(3, 2)$$ -
$$x+y=5$$
$$(3, 3)$$ -
$$y=x$$
$$(3, 4)$$ -
$$2y-3x=-1$$