Unit 1: Lesson 1.1 Sets, Subsets, & Real Numbers

Collection of elements that all belong to a larger set.

​Subset

Broad collection of elements.

​Set

Concepts:

Includes: fractions, integers, whole numbers, and natural numbers.

​Types of rational Numbers

Real numbers that can be written as a fraction.

​Rational Number

Concepts:

​Types of Irrational Numbers

Real numbers that cannot be written as fractions.

​Irrational Number

Concepts:

Procedures: for Sets, Subsets and Classifying real Numbers

1) Identify the subset by determining if all its elements belong to a larger set of elements.
2) Classify real numbers by each set/subset they belong to in the real number system.
3) Create a Euler's diagram by drawing a shape for the set, and smaller shapes within it for each subset.

​Example 1: Sets and Subsets

Store: Milk, Eggs, OJ, Cheese, Soda, Meat, Fruit, Veggies, Flour, Sugar, Water, Spices, Cereal, Nuts, Bread, Chips

Aisle 7: Flour, Sugar, Spices

Is Aisle 7 a subset of the Store?

​Example 2: Real Numbers

Place examples of each subset in the appropriate position.

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​Example 3: