Here is how you can match the types of assessments to their purposes:
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Measures understanding of one lesson's objectives - This matches with Formative Assessment (or a Quiz for a specific lesson).
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Measures understanding of the content in lessons in a unit - This aligns with Summative Assessment (or Unit Test).
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Demonstrates mastery of skills and concepts throughout multiple units - This corresponds with Cumulative Assessment (or Benchmarks).
If you have specific responses or terms that you're using, please share them, and I can help match them correctly.