L041 Coordinates, gradient and intercept

Plot coordinates and interpret gradient and vertical intercept from tables, graphs and equations.

Connect & Check

Non-calculator core. Calculator not required.

Choose your route

Choose a route

Apply

  1. Plot (0,1), (1,3), (2,5), (3,7).
  2. Find the gradient of the line through (2,1) and (6,9).
  3. For y = 3x - 4, state the gradient and y-intercept.

Points: 0

Stretch and deep challenge

Stretch: A line passes through (-3, 4) and (3, -2). Find gradient and y-intercept.

Deep challenge: Can two distinct parallel lines have different gradients? Explain using y = mx + c.

Recall & Review

Recall & Review: feedback and extension integration

Lesson L041: Coordinates gradient and intercept

Objective: Plot coordinates and interpret gradient and vertical intercept.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I read or constructed the graph accurately, used the scale and axes correctly and linked the relevant gradient, intercept, shape or trend to my conclusion.

Even Better If (EBI)

I will label units and scale clearly, show the calculation or graphical evidence I used and check that the interpretation fits the context.

Stretch and deep challenge

Stretch: A line passes through (−3, 4) and (3, −2). Find gradient and y-intercept.

Deep challenge: Can two distinct parallel lines have different gradients? Explain using y=mx+c.