Reach for the Star

Linear equations · Optional extension

L019 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Solve 5(2x−1)=3x+16 and check.

Reveal a worked check after attempting

10x−5=3x+16, so 7x=21, x=3; both sides 25.

Deep challenge

Explain why dividing 3x+6=12 by 3 gives x+6=4 incorrectly.

Reveal a worked check after attempting

Divide every term: x+2=4, so x=2.

Recall & Review: feedback and extension integration

Lesson L019: Linear equations

Objective: Solve linear equations while preserving equality. Check solutions in the original equation, including unknowns on both sides.

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 5(2x−1)=3x+16 and check.

Deep challenge: Explain why dividing 3x+6=12 by 3 gives x+6=4 incorrectly.