Properties of Real Numbers (Field Axioms) Puzzle

Idempotent
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Idempotent
8 Followers

Description

This puzzle activity is designed to make the properties of the real numbers (field axioms) more explicit by having students work with them in an unfamiliar setting so that they cannot rely on memorization. The example field is a finite field with five elements. The emphasis of the activity is on the properties of identity and inverse which cause students the most conceptual errors. To a lesser extent, students will practice with the commutative and associative properties.

Pre-planning:

30-60 minutes

scratch paper (optional)

Prerequisite Knowledge:

add small integers

Learning Objectives:

practice the field axioms (except distributivity) conceptually with an emphasis on additive and multiplicative inverse

engage in abstract mathematics

encounter a number system other than subsets of the real numbers

practice pattern recognition

Total Pages
5 pages
Answer Key
Included
Teaching Duration
1 hour
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