Reach for the Star

Coordinates gradient and intercept · Optional extension

L041 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

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

Reveal a worked check after attempting

Gradient=(−2−4)/6=−1; y-intercept=1.

Deep challenge

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

Reveal a worked check after attempting

No. Parallel non-vertical lines share m and have different c values.

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.