Starter quiz
- Which of these is the correct explanation for how gradient is calculated?
- rate of change in direction with respect to positive direction
- rate of change in direction with respect to negative direction
- rate of change in direction with respect to negative direction
- rate of change in direction with respect to positive direction ✓
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- The gradients of all 4 lines are ______.
- equal
- even
- negative
- positive ✓
- straight
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- What is the gradient of this line?
- '4' ✓
- What is the gradient of this line?
- '6' ✓
- Which of these tables of values show a relationship which will have a positive gradient when plotted?
- A ✓
- B
- C ✓
- D
- E ✓
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- Which is the correct ratio table for this graph?
Exit quiz
- Which of these graphs have a negative gradient?
- A (purple) ✓
- B (blue) ✓
- C (pink)
- D (green) ✓
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- Match the graphs to the correct gradient.
- A (purple)⇔3 ✓
- B (black)⇔2 ✓
- C (pink)⇔1 ✓
- D (blue)⇔-1 ✓
- E (green)⇔-2 ✓
- What is the gradient of this line?
- '-3' ✓
- What is the gradient of this line?
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- ✓
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-
-
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- Starting with the steepest, put these gradients in order of steepness.
- 1⇔
- 2⇔
- 3⇔
- 4⇔
- 5⇔
- 6⇔
- Which lines would be parallel to the one shown if drawn on the same axes?
Worksheet
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Presentation
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Lesson Details
Key learning points
- Graphs can be described by looking at how quickly they fall.
- The amount y decreases when x increases by one is the rate of change and is called the gradient.
- The gradient will be negative if y decreases as the graph moves to the right.
- The gradient can be found from any linear graph.
- The gradient tells us important information about the relationship.
Common misconception
Pupils may think lines with gradients 2 and -2 are parallel.
Lines have to have the exact same gradient to be parallel. A line with a negative gradient will intersect a line with a positive gradient .
Keywords
Gradient - The gradient is a measure of how steep a line is.
Absolute value - The absolute value of a number is its distance from zero.
Parallel - Two lines are parallel if they are straight lines that are always the same (non-zero) distance apart.
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