Lesson 1.1, Real Numbers Evaluate: 1. 2. 3. ANSWER.

Slides:

Advertisements

Similar presentations

Homework Answers 1. {3} 2. {1, 3} 5. {3, 4, 6} 6. {} 10. {2, 3, 4}

Advertisements

Square Root Chapter 9.

Warm-up Solve each equation. 1. k2 = b2 = m2 – 196 = c = 36

Aim: How do we solve radical equations?

Types of Number.

Homework Answers mm cm /16 (or ) in /3 (or 166.6) = 524 ft = 905 cm /2 (or 562.5) = 1767 in.

Objective: To solve quadratic equations by completing the square.

Lesson 9.5: Factoring Difference of Squares, page 500

1.1 Functions What is a function? A function f is a rule that assigns to each element x in a set A exactly one element, called f(x), in a set B.

Multiplication X 1 1 x 1 = 1 2 x 1 = 2 3 x 1 = 3 4 x 1 = 4 5 x 1 = 5 6 x 1 = 6 7 x 1 = 7 8 x 1 = 8 9 x 1 = 9 10 x 1 = x 1 = x 1 = 12 X 2 1.

Division ÷ 1 1 ÷ 1 = 1 2 ÷ 1 = 2 3 ÷ 1 = 3 4 ÷ 1 = 4 5 ÷ 1 = 5 6 ÷ 1 = 6 7 ÷ 1 = 7 8 ÷ 1 = 8 9 ÷ 1 = 9 10 ÷ 1 = ÷ 1 = ÷ 1 = 12 ÷ 2 2 ÷ 2 =

The Pythagorean Theorem and Its Converse

EQUATIONS OF CIRCLES.

5-4 Completing the Square Warm Up Lesson Presentation Lesson Quiz

factor using difference of squares.

Objective Solve systems of equations in 2 variables that contain at least 1 second-degree equation.

Splash Screen. Lesson Menu Five-Minute Check (over Chapter 9) Then/Now New Vocabulary Key Concept: Square Root Example 1: Find Square Roots Example 2:

The Pythagorean Theorem

G2.a How Do I Apply Properties of Right Triangles including The Pythagorean Theorem? Warm Up Problem of the Day Lesson Presentation Course 3.

Simplifying Radicals.

Preview Warm Up California Standards Lesson Presentation.

Preview Warm Up California Standards Lesson Presentation.

Radicals are in simplest form when:

Properties of numbers EVEN and ODD numbers

The Locker Problem.

Factoring Polynomials

Lesson 2: Perfect Squares and Cubes, Square and Cube Roots

Looking For Pythagoras Practice, Practice, Practice!

Look at This PowerPoint for help on you times tables

What are we going to do? CFU Students, you already know how to evaluate squared expressions. Now, we will use squared expressions solve equations with.

How to Find the Square Root of a Non-Perfect Square

Algebraic Expressions

Math fact: The sum of any number of consecutive odd whole numbers, beginning with 1, is a perfect square e.g. 1+3=4, 1+3+5=9, =16.

Lesson 1.3 Unit 1, Lesson 3. Set:A collection of distinct objects Elements:All of the objects that make up a set.

Rational and Irrational Numbers

7-4 Properties of Logarithms Warm Up Lesson Presentation Lesson Quiz

Solving Quadratic Equations by Finding Square Roots

Jeopardy DivisibilityARRAYS Prime or Composite All things SQUARE Remember ? Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final.

3-9 Finding Square Roots Warm Up

Main Idea and New Vocabulary NGSSS Key Concept: Pythagorean Theorem

Warm Up Estimate the value of each to the nearest tenth. 1. √30 2. √14

Finish on this side Start on this side

The Radical Square Root

9-8 Completing the Square Warm Up Lesson Presentation Lesson Quiz

Electronic Flashcards Square Numbers ©gingerose, 2012

{ Take notes on the properties at this time!! !.

Preview Warm Up California Standards Lesson Presentation.

Powers, Roots & Indices Sample Questions & Solutions.

Section 5.6 Review Difference of Two Squares Sum & Difference of Two Cubes  Recognizing Perfect Squares  Difference of Two Squares  Recognizing Perfect.

4.7 Complete the Square.

P.1 Set Notation Intersections of Sets Unions of Sets Negative Properties and Algebraic Expressions Modeling Real Data with Algebraic Formulas Pg. 14 #

Honors Pre-Calculus Appendix A1 Algebra Essentials.

0-1: Set & Interval Notation Objective: Review set and interval notation ©2002 Roy L. Gover Modified Mike Efram (8/23/2004)

PRE Lesson 2.1 What is a Function? Objectives: To review domain. To understand function notation. To understand how to evaluate functions and piecewise.

: 1. ANSWER 1 16 ANSWER 1 25 Evaluate the Expressions: ANSWER 6 4.

ANSWERS. Using Trig in every day life. Check Homework.

1.1 REAL NUMBERS Mrs. Miller Pre-calculus. Classifying Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers.

Real Numbers Terms: Natural numbers: 1,2,3,4,…

Inequality Set Notation

Introduction to Functions

1-1 RELATIONS & FUNCTIONS

Set Notation and Set Operations

Lesson 22 Functions of Several Variables (Yes, you read that right!)

Algebra 2/Trigonometry Name: _____________________________

Copyright © Cengage Learning. All rights reserved.

Set Notation and Set Operations

Algebra 2/Trigonometry Name: _____________________________

Functions and Relations

Presentation transcript:

Lesson 1.1, Real Numbers Evaluate: 1. 2. 3. ANSWER

Check Homework

1 256 4 289 324 9 16 361 400 25 441 36 1 484 49 2 529 64 4 81 576 8 100 625 16 676 121 32 144 729 64 784 169 128 196 841 256 900 225 512

PRE Lesson 1.1-Tools of Algebra Objectives: To review the set of Real Numbers To review the properties of Algebra To understand interval and set notation.

Sets & Elements A set is a collection of objects. - the objects are called the elements of the set. If S is a set, the notation of means that a is an element of S.

Sets & Elements means that b is not an element of S. Ex1. If Z represents the set of integers, then but

Union of Sets If S and T are sets, then , represents their union. The union of sets consists of all elements in both sets. Ex 2. Find if

Intersection of Sets The intersection of S and T is the set consisting of all elements that are in both sets. It is only what they have in common. Ex 3. Find if

Notation of Sets The set A that consists of positive integers less than 7 Braces { } Set-builder notation – “A is the set of all x such that x is an integer and “ Interval notation – Is a way to write the domain and the range. (0,7)

b b

Ex 4. Find, , ,

Classwork: Book: pg.11, 36-60 even