Mixed module checkpoint

Angles, triangles and the unit circle: mixed checkpoint

Use this mixed precalculus checkpoint after studying the angles, right triangles and unit-circle module. The questions ask you to choose an approach from the situation, without organizing the assessment into named method blocks. Coverage includes angle units, circular measurement and motion, similar triangles, exact ratios, coordinate signs and Pythagorean or reciprocal relationships.

These are fresh assessment item families rather than copies of the topic-practice bank. Tasks combine representations and include error diagnosis, feasibility checks and short justifications. Both single-select and multiselect questions are used, and each can be answered independently. The bank is deliberately mixed rather than arranged as a difficulty ladder.

Attempt the questions without consulting the worked explanations first. Use scratch paper, preserve exact values and check units and restrictions; calculator use is unnecessary for these items. After submitting, study the explanations and record whether a mistake involved method selection, a prerequisite calculation, a sign or an excluded input.

This checkpoint samples the module rather than exhaustively certifying every objective. Revisit the matching topic leaf and any missing algebra or geometry prerequisite before trying fresh problems. Readiness should also include independent written reasoning and later retrieval. No extension-only trigonometry or later graph-transformation techniques are required.