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Lesson Plan: Properties of Operations over the Real Numbers Mathematics • Second Year of Preparatory School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to solve problems involving operations and properties of operations on real numbers.
Objectives
Students will be able to
- understand and apply the following properties of addition and multiplication of real numbers:
- closure ( and ),
- commutativity ( and ),
- associativity ( and ),
- identity (or neutral) elements ( and ),
- inverse elements ( and for ),
- understand that subtraction and division are neither associative nor commutative.
Prerequisites
Students should already be familiar with
- the set of real numbers.
Exclusions
Students will not cover
- simplifying the addition, subtraction, multiplication, and division of radical expressions (including rationalizing denominators).
