Reach for the Star

Equation-solving pathway · Optional extension

L087 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Solve 3x²−15x=0 and check both solutions.

Reveal a worked check after attempting

3x(x−5)=0; x=0 or 5.

Deep challenge

Solve x+y=11 and 2x−y=4, then show both checks.

Reveal a worked check after attempting

Add 3x=15, x=5,y=6; sums 11 and 10−6=4.

Recall & Review: feedback and extension integration

Lesson L087: Equation-solving pathway

Objective: Select equation and inequality methods appropriate to the tier.

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: Solve 3x²−15x=0 and check both solutions.

Deep challenge: Solve x+y=11 and 2x−y=4, then show both checks.