Determinants and Cramer’s Rule

This Determinants and Cramer’s Rule worksheet also includes:

Practicing determinant calculations and their applications is the focus of this detailed skills practice worksheet. A summary of steps at the beginning of each section keeps young mathematicians on track, while clear and simple numbers allow the focus to be on the process and not multiplication and division tricks. The provided answer key rounds out the worksheet, making for a great addition to any unit on matrix properties and uses.

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CCSS: Adaptable
Instructional Ideas

  • Consider having the class rework past linear equations examples (both consistent and inconsistent systems) using Cramer's Rule
  • Challenge learners to develop a method for finding the determinant of a 4x4 matrix, and a matching extension of Cramer's Rule
  • For a writing extension, have the class look into the role of Cramer's Rule in computer programming and solving of linear systems
Classroom Considerations

  • Answer key is attached in additional resources, and color-coded by step if this needs to be considered when copying

  • Summary of steps at the start of each section to keep learners on track
  • Problems increase in complexity as the worksheet progresses
  • Both consistent and inconsistent systems covered

  • No teaching tips or remediation provided