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Lesson 6.6

Practice Day

Review day and assessment. When this unit was taught more traditionally in review mode, students were noticeably less focused — the contrast with the earlier thinking-task days was apparent. Traditional review tends to confirm to students that the thinking work is over and the performance begins. A review format that still requires mathematical reasoning — a rich problem requiring multiple similarity tools, or a CYU set where justification is built into separate sub-parts — keeps students more engaged.

 

Assessment note from Year 1: most students grasped the material but largely ignored questions asking them to justify steps or methods. The diagnosis: they probably knew how, but did not read carefully enough to see that justification was explicitly requested. The fix for next year is already built in — justification is required as a separate labeled sub-part (a, b, c) rather than embedded in a single question. On similarity proofs, students generally had the correct argument but did not follow the flow chart proof structure practiced in Units 3 and 4. Make the connection explicit during board work throughout the unit: the same justification-at-every-step expectation that applied in proof writing applies here. The similarity shortcut is the antecedent; the proportion is the consequent. Both must appear.

Downloads for Lesson 6.6 
Lesson Plan

Download the full Lesson plan (tasks, timing, and teacher notes).

CYU Problems

Download the Check Your Understanding problems for the Lesson.

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