L042 Interactive Workbook

Connect & Check

Non-calculator core. Calculator optional for checking plotted intersections only.

Retrieve gradient and intercept from y = 2x + 1 and y = -x + 4.
Predict where two lines might meet before calculating.

Choose your route

Choose a route

Apply

Find the equation of a line with gradient 2 and intercept -3.
Does (4,5) lie on y = 2x - 3?
Are y = 4x + 1 and y = 4x - 6 parallel? Explain.

Points: 0

Stretch and deep challenge

Stretch: Find the equation of the line through (2, -1) and (6, 7).

Deep challenge: The lines y = 3x - 4 and 6x - 2y = 8 are claimed to intersect. Test the claim.

Recall & Review

Check a point against a fresh line equation.
Decide if two lines intersect, are parallel or are the same line.

Recall & Review: feedback and extension integration

Lesson L042: Straight line equations

Objective: Form and use straight-line equations and locate intersections.

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 represented the algebraic structure accurately, kept each transformation valid and checked the result by substitution, graph or equivalent reasoning.

Even Better If (EBI)

I will show the missing inverse operation or algebraic step, keep signs and brackets accurate and test the result in the original relationship.

Stretch and deep challenge

Stretch: Find the equation of the line through (2,−1) and (6,7).

Deep challenge: The lines y=3x−4 and 6x−2y=8 are claimed to intersect. Test the claim.

My next-step response: