Starter quiz
- Work out the value of .
- −16
- −8
- −2
- 8
- 16 ✓
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- Which of these is the best description of the gradient of a line?
- the value where the line crosses the -axis
- the length of the line
- the thickness of the line
- the steepness of the line ✓
- the vertical distance from the origin to the line
-
- Select the coordinates that lie on the line .
- (−2, 1)
- (0, 3)
- (1, −1) ✓
- (4, 5) ✓
- (5, 4)
-
- The table shows values for the equation . The missing number is ______.
- '−1' ✓
- When the equation of a straight line is written in the form , () is the coefficient of and represents the ______.
- 'gradient' ✓
- Work out the value of that satisfies the equation when . ______
- '3' ✓
Exit quiz
- Which of these equations are linear? The graphs of the equations are shown.
-
- ✓
-
-
- Which is the correct graph of the expression as varies? The table of values for is shown.
- The table of values for is shown. The missing value is ______.
- '15' ✓
- Select the correct graph of the expression . The table of values for is shown.
- The table of values for is shown. The missing value is ______.
- '1' ✓
- The table of values for is shown. The missing value is ______.
- '6' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- An equation is a statement that two expressions are equal, indicated by =.
- Linear expressions can be represented by a straight line on a graph.
- Non-linear expressions can be identified from their graphical form.
- Equations can be grouped as linear or non-linear.
Common misconception
Pupils may think all equations are for straight lines so can be plotted from 2 points.
Explore different relationships, most relationships are not linear but we focus a lot on linear relationships and their unique structure.
Keywords
Gradient - The gradient is a measure of how steep a line is
Expression - Expressions contain one or more terms, where each term is separated by an operator.
Equation - An equation is used to show that one number or calculation is equal to another.
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
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