Reach for the Star

Coordinates and transformations · Optional extension

L029 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Translate (−3,4) by (5,−7) and reflect the result in the x-axis.

Reveal a worked check after attempting

Translation gives (2,−3); reflection gives (2,3).

Deep challenge

Do reflection and translation always commute? Use a point and transformations as a counterexample.

Reveal a worked check after attempting

No. Reflect (1,1) in y-axis then translate (2,0) gives (1,1); reverse order gives (−3,1).

Recall & Review: feedback and extension integration

Lesson L029: Coordinates and transformations

Objective: Transform points and shapes by translation, reflection and rotation, and describe each transformation completely.

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 selected the correct geometric fact, theorem, formula or transformation and used a clear diagram with appropriate labels and units.

Even Better If (EBI)

I will name the fact or theorem, show the substitution or construction step and check whether the size, direction and units of the result are reasonable.

Stretch and deep challenge

Stretch: Translate (−3,4) by (5,−7) and reflect the result in the x-axis.

Deep challenge: Do reflection and translation always commute? Use a point and transformations as a counterexample.