Extended Mathematical Practice: Learning About Numerics, Base Systems, and Modular Arithmetic Outside of the Curriculum – MP 1,3,7,& 8

Learning Progression for edTPA – Extended Mathematics

Standards:

  • CCSS.MP-1 – Make sense of problems and persevere in solving them.
  • CCSS.MP-3 – Construct viable arguments and critique the reasoning of others.
  • CCSS.MP7 – Look for and make use of structure.
  • CCSS.MP-8 – Look for and express regularity in repeated reasoning.

Task Summary: Students will be given an inquiry prompt to answer as students work through activity sheets that will have students finding values of numbers in ancient systems (e.g. Egyptian, Babylonian, Mayan), different bases, and in modular expressions. Students will also find solutions for addition and subtraction problems in different bases and with modular arithmetic. Students will also discuss their ideas, findings, and questions using mathematical thinking and reasoning. These tasks are designed to develop students’ mathematical thinking and reasoning.

Assessment Task Summary: Students will be assessed on their mathematical thinking and reasoning by their written work or mathematical discourse. Scoring of the assessment will be done via a rubric based on the standards above and learning targets for each task.

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