Reach for the Star

Vectors and translations · Optional extension

L082 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

A triangle has vertices (0,0),(2,1),(1,4). Translate by (−3,2). State all new vertices.

Reveal a worked check after attempting

(−3,2),(−1,3),(−2,6).

Deep challenge

A translation maps A=(−2,5) to A'=(4,−1). Show where B=(3,3) maps.

Reveal a worked check after attempting

Vector=(6,−6); B'=(9,−3).

Recall & Review: feedback and extension integration

Lesson L082: Vectors and translations

Objective: Represent translations as column vectors and combine displacements.

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: A triangle has vertices (0,0),(2,1),(1,4). Translate by (−3,2). State all new vertices.

Deep challenge: A translation maps A=(−2,5) to A'=(4,−1). Show where B=(3,3) maps.