11.1 Square Roots and Irrational Numbers

Slides:

Advertisements

Similar presentations

Squares and Square Roots Objective: Students will be able to successfully multiply and simplify expressions using squares and square roots. Warm-Up Evaluate:

Advertisements

Squares and Square Roots Objective: Students will be able to successfully multiply and simplify expressions using squares and square roots. Warm-Up Evaluate:

Perfect Square Roots & Approximating Non-Perfect Square Roots

11.1 and 11.2 Radicals Goal(s): 1.To find the square roots of perfect squares, perfect square radicands and estimate the roots of irrational numbers 2.Determine.

Homework: Cumulative Review

Start Bellwork #. Chapter 11-1 p.560 Square Roots and Irrational Numbers.

Rational Numbers and Decimals

How do you find square roots? How do you estimate square roots?

Preview Warm Up California Standards Lesson Presentation.

Real Numbers Real Numbers are all numbers that can be located on Real Number line. This includes all whole numbers, all fractions, all decimals, all roots,

1-5 Roots and Real Numbers Warm Up Lesson Presentation Lesson Quiz

The Real Number System. Real Numbers The set of all rational and the set of all irrational numbers together make up the set of real numbers. Any and all.

Rational or Irrational? Why?

Squares, Square Roots, Cube Roots, & Rational vs. Irrational Numbers.

Find the two square roots of each number. Exploring Square Roots and Irrational Numbers COURSE 3 LESSON 4-8 a = 81 –9 (–9) = 81 The two square.

Do Now 9/24/09 Take out your HW from last night. Take out your HW from last night. Text p , #14-24 even, #32-50 even Text p , #14-24 even,

3-7 Before the Bell Each square root is between two integers. Name the two integers. Use a calculator to find each value. Round to the nearest.

6:12-4 Exploring square roots and rational numbers.

3.2 Rational Numbers. Rational Number Any number that can be written in the form of a fraction. a and b have to be integers.

Chapter 4 Powers and Roots. Real Numbers Rational Review Natural Numbers Whole Numbers Integers Fractions Repeating or Terminating Decimals New Perfect.

Rational and Irrational Numbers Write down anything you know about rational and irrational number.

WARM-UP. REAL NUMBERS THE REAL NUMBERS FLOW CHART REAL NUMBERS RATIONAL IRRATIONAL INTEGERS WHOLE NATURAL.

Do Now 9/23/ A= 16 A = 4² A= 36 A = 6² 4 What is the area for each figure? What are the dimensions for each figure? Write an equation for area of.

FeatureLesson Course 2 Lesson Main LESSON 8-6 Square Roots and Irrational Numbers Problem of the Day 8-6 Calculate the area of the figure below. Include.

Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,…

HOW DO WE CLASSIFY AND USE REAL NUMBERS? 0-2: Real Numbers.

Find the distance between the two points. The side of the clip on a clip board appears to be a right triangle. The leg lengths are 2 millimeters and 2.1.

Square Roots. Perfect Squares Squaring is when a number is multiplied by itself – It’s called squared because the area of a square is multiplying a side.

Section 5-4 The Irrational Numbers Objectives: Define irrational numbers Simplify radicals Add, subtract, multiply, and divide square roots Rationalize.

Square Roots All positive real numbers have two square roots, a positive and negative square root. All positive real numbers have two square roots, a positive.

REAL NUMBERS LESSON 1.1. INTRODUCTION…. -What are real numbers? -Real Numbers: are any number except for variables -Variables– letters that represent.

Module XIII, Lesson 3 Online Algebra

Estimating Square Roots

Write each fraction as a decimal.

Rational Numbers Adding Like Fractions

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

Square Roots and Irrational Numbers.

11.1 and 11.2 Radicals List all the perfect squares:

Exercise Evaluate

Perfect Squares & Estimating Square Roots

Lesson 5-2 Pages Rational Numbers.

Exploring Square Roots and Irrational Numbers

Write each fraction as a decimal.

Estimating Irrational Numbers

Objectives Evaluate expressions containing square roots.

Squares & Square Roots.

UNIT 1 VOCABULARY The Real number system.

Real Numbers Lesson 1.1.

Why do you learn square roots?

§5.4, Irrational Numbers.

Square and Cube Roots.

Lesson 7.4 Real Numbers.

Write each fraction as a decimal.

8.1 Introduction to Radicals

Warm-Up #12 (Monday, 9/28) 3 ∙ ∙ (2 5 − 125)

Homework 8.15 #1-7 Find each square root

Rational and Irrational Numbers

Square Roots and Irrational Numbers.

Objectives Evaluate expressions containing square roots.

1-3 Square Roots Warm Up Lesson Presentation Lesson Quiz

0-2 Real Numbers.

Multiplication Race Start with the 1’s, 2’s Then, 12’s,

1-3 Square Roots Warm Up Lesson Presentation Lesson Quiz

Discuss with a partner and record your thoughts.

Natural Numbers The first counting numbers Does NOT include zero

Write each fraction as a decimal.

Objective - To find the square root of a given number.

Presentation transcript:

11.1 Square Roots and Irrational Numbers

Perfect Squares Area of a square Multiplying a number by itself

List of Perfect Squares 1,4,9,16,25,36,49,64,81, 100,121,144,169,196,225…

Review: Square root is to find the side lengths of a square given its area

. Square Root - An operation that yields a number which, when multiplied by itself, produces the given number Squares Square Roots

Every positive number has two roots. Positive Square Root Negative Square Root (Principal Square Root) Consider the following: Two solutions One solution

Simplify each root below and identify as a positive root or a negative root.

Rational vs Irrational Rational –Anything that can be written as a fraction: Irrational: Can not be written as a fraction Perfect Square Whole Number Negative Number Decimal that ends Decimal that repeats Fraction Improper fraction Mixed number Square root that does not have a perfect square A decimal that never ends and never repeats

Math Humor

Perfect Squares Rational Roots Irrational Roots

Identify each root as rational or irrational.

Estimating Irrational Square Roots Step 1: Find the two perfect squares the irrational root lies between. (hint use the list of perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100..etc)

Determine what two consecutive integers each irrational root lies between.

Estimating Irrational Square Roots Step 2: Subtract the irrational root from the perfect squares to determine which number it is closest to.

Estimate each irrational root to the nearest integer without using a calculator.

Finding the Side of a Square 1) 2) What would the perimeter be?? 1.) 28 un 2.)25.2 un Distance can’t be negative

Homework Page 562 (2-38) even