Sets of Numbers Algebra 2 1 1 Class

Sets of Numbers Algebra 2 1 -1

Class Theme • We have a lot to do, so we cannot waste time Introduction

Class Theme • We have a lot to do, so we cannot waste time • This answers a lot of questions about our class, like… Introduction

• You will need a scientific calculator for this class. Introduction

What you need in class What you need at home • • • Textbook • Ruler • Access to internet to check answers Notebook Binder Homework Pencils Introduction

• Homework must be checked on-line before class begins • During class homework questions will be answered • Some problems will require the use of graph paper, and may be completed entirely on graph paper. • Late homework is not acceptable Homework

• To Check homework • Use Google Classroom 6 th period code = qdf 1 oi 2 nd period code = jxzvbr • Alternatively, hotmath. com pwd=hcsindy Homework

• Classroom Rules / Expectations – All school rules apply at all times – Follow Directions Quickly – Raise your hand for permission to speak – Raise your hand for permission to leave your seat – Make smart choices – Keep your dear teacher happy Expectations

Grading • Homework Completion (1 point) • Homework Quizzes (5 points each) • Tests and Quizzes (10 to 100 points each) • Test Corrections (half credit) Overall breakdown • Tests and Quizzes 70% • Homework Quizzes 30% Grading

• All information is posted on-line Introduction

• Natural Numbers 1, 2, 3, 4, … – Numbers that are used for counting • Whole Numbers 0, 1, 2, 3, … – Natural numbers and zero • Integers … -3, -2, -1, 0, 1, 2, 3, … – Natural numbers and their opposites and zero Vocabulary

• Rational Numbers – Numbers that can be written as quotients of integers – These may be terminating or repeating decimals • Irrational Numbers – Numbers that cannot be written as quotients of integers – Decimal representations neither repeat nor terminate – Square roots that are not perfect squares are irrational Vocabulary

Real Numbers

Real Numbers - Example

Real Numbers - Practice

Number Lines - Example

Number Lines - Practice

Ordering Numbers

Ordering Numbers - Example

Ordering Numbers - Practice

• How might you write the height of people in this room right now? How to write an answer

• You might list each person’s height • Exactly how might you write it • To list a group of discrete answers in math we use “Roster Notation”, with curly brackets • {60, 62, 63, 65, 68, 70, 74} How to write an answer

• You might list a range of heights • Exactly how might you list the ranges of heights? How to write an answer

• Exactly how might you list the ranges of heights? • You could write it with inequality signs • 60 < h < 74 • This translates easily to a numberline How to write an answer

• Exactly how might you list the ranges of heights? • You could write it in an interval • (60, 74) How to write an answer

• Interval Notation – An infinite set of numbers shown inside brackes () or [] • Less than or Greater than is () • Or equals to is [] Vocabulary

• Write the following in interval notation (7, 12] (-∞, 5] Example

• Write the following in interval notation [-6, 3) (-∞, -3) Example

• Example. What are the real number solutions of the equation x 2 + 1 = 0? • Answer: There are no real number solutions of this equation since no real number squared added to one can ever equal 0. We represent the solution as the null set, written { } or . Null Set

• Pages 10 – 12 • 15 – 17, 46 – 49 Homework