Positive rate of change from a graph | Maths | Quizalize & Oak National Academy

Starter quiz

The coordinate (0,0) can also be called the ______.
- 'origin' ✓
What is the step on the $x$ axis of this graph?
- 0.5 ✓
- 1
- 2
- 10
What is the missing number in this table of values for the equation $y=5x-3$ ?
- '7' ✓
A drink is made from 3 litres of juice and 9 litres of soda. Use the ratio table to work out the amount of soda needed for 1 litre of juice.
- '3' ✓
What is the missing value in this ratio table?
- $3\over 5$
- 1.6
- $5\over 3$ ✓
- 3
- 15
A table of values is shown for the relationship $y = 11 - 3x$ . Which of these is true for this relationship?
- For every change of +1 in $x$ there is a change of -3 in $y$ ✓
- For every change of +1 in $x$ there is a change of +3 in $y$
- For every change of +1 in $y$ there is a change of -3 in $x$
- For every change of +2 in $x$ there is a change of -5 in $y$
- For every change of +3 in $x$ there is a change of -9 in $y$ ✓

Which of these best describes the gradient?
- How much the $y$ values change for every 1 increase in $x$ ✓
- How much the $x$ values change for every 1 increase in $y$
- How much the $y$ values change for every 1 decrease in $x$
- How much the $x$ values change for every 1 decrease in $y$
Which of these lines have a positive gradient?
- A ✓
- B
- C ✓
- D
The gradient of this line is ______.
- '2' ✓
Match the lines labelled A, B, C, D with the correct gradient.
- A (green)
  
  ⇔
  
  1 ✓
- B (pink)
  
  ⇔
  
  $1\over 2$ ✓
- C (blue)
  
  ⇔
  
  4 ✓
- D (purple)
  
  ⇔
  
  3 ✓
What is the gradient of this line?
- $2\over 5$
- 2
- $5\over 2$ ✓
- 3
- 5
What is the gradient of this line?
- '5' ✓

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Graphs can be described by looking at how quickly they rise.
The amount y changes when x increases by one is the rate of change and is called the gradient.
The gradient will be positive if y increases as the graph moves to the right.
The gradient can be found from any linear graph.
The gradient tells you important information about the relationship.

Pupils count squares to calculate gradient instead of looking at scales.

Encourage pupils to pick points on the graph to use to find the gradient and write down the coordinates rather than count squares.