Objective: Students will be able to use roots to estimate solutions.

Slides:



Advertisements
Similar presentations
5-8 solving radical equations and inequalities
Advertisements

Chapter 7 Radicals, Radical Functions, and Rational Exponents.
Squares and Square Roots Objective: Students will be able to successfully multiply and simplify expressions using squares and square roots. Warm-Up Evaluate:
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.
Warm Up Simplify each expression. 1. 6²
Roots Lesson #8 Pg Simplify each expression. 1) 6² 36 2) ) (–9)(–9) 81 4) Write each fraction as a decimal. 5) ) 7) 5.
Numerical Roots & Radicals
Rational and Irrational Numbers
Objective Solve radical equations.
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?
Square Roots Chapter 9.1 page 453
Rational and Irrational Numbers 9 2. Recall that a rational number is a number that can be written as a quotient, where a and b are integers and b ≠ 0.
MAJOR TEST REVIEW WORKSHEET COMMON CORE STANDARDS #1, #2, & #4.
Chapter 7 Radicals, Radical Functions, and Rational Exponents.
Squares, Square Roots, Cube Roots, & Rational vs. Irrational Numbers.
8-3 Comparing Real Numbers
Algebra 1 Chapter 1 Section 5.
Key Standards MC C8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;
Ordering Real Numbers.
Lesson 9-3 Warm-Up.
Square Root The square root of a nonnegative number is a number that, when multiplied by itself, is equal to that nonnegative number. Square roots have.
Roots Lesson 1-8 square root – one of the given number’s two equal factors 2 is the square root of 4 because 2² = 4 15 is the square root of 225 because.
Chapter 4 Powers and Roots. Real Numbers Rational Review Natural Numbers Whole Numbers Integers Fractions Repeating or Terminating Decimals New Perfect.
Chapter 9 Section 6 Radicals: Applications and Problem Solving.
Warm-Up: Solve each equation. Essential Question  How do I use the quadratic formula?
Review for Unit 2 Quiz 1. Review for U2 Quiz 1 Solve. We will check them together. I will answer questions when we check answers. Combine like terms.
Know Your Roots How can square roots and cube roots be used to solve expressions and equations?
Accident Investigation
Given a quadratic equation use the discriminant to determine the nature of the roots.
4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.
Radical Expressions and Functions Find the n th root of a number. 2.Approximate roots using a calculator. 3.Simplify radical expressions. 4.Evaluate.
You need: Pencil AP log Agenda All other materials should be on the floor or in a desk.
Perfect squares: 1, 4, 9, __, __, __, __, __, __, __,…
Unit 2: Exponents Review. What is on the test??? 1.Exponent Rules 2.Perfect Squares 3.Square Roots / Cube Roots 4.Estimating Non-Perfect Squares 5.Scientific.
Definitions Square root: Perfect Square: Square of the Square Root Property: If A = s 2, then s is called a square root of A. Squares of whole numbers.
Square Root The square root of a nonnegative number is a number that, when multiplied by itself, is equal to that nonnegative number. Square roots have.
1-2 Irrational Numbers and Square Roots. Geogebra Finding square roots of perfect squares Estimating a square root Comparing square roots Surface area.
Now start a new page in your notebook for Lesson 12.3.
Unit D Review. A triangle has the following side lengths: 6ft, 7ft, and 12ft. Is this triangle a Right triangle? Show all work to support your answer.
Homework: maintenance sheet 1-11 & Study for comprehensive test #3
WARM UP 4 Simplify 62 (-14) x2, for x = 3.
Write each fraction as a decimal.
Expressions and Equations Part 2
11.1 and 11.2 Radicals List all the perfect squares:
Write each fraction as a decimal.
Unit 3. Day 16..
Unit 2. Day 11..
Worksheet Key 12/3/2018 2:39 AM 6.2: Square Root Graphs.
Review.
9.6: Solving Polynomials when a > 1
8.1 Introduction to Radicals
Rational vs Irrational Rational vs Irrational
Lesson 9.2 Simplifying Square Roots
Purpose Students will be able to evaluate expressions containing square roots. & classify numbers within the real number system.
The Real Number System Real Numbers Irrational Numbers
Homework 8.15 #1-7 Find each square root
Powers and Exponents, Square Roots
Objectives Evaluate expressions containing square roots.
Square Roots Holt Algebra 1.
Example 1: Solving Equations Containing One Radical
Homework Due Tomorrow 
Bell Work Write each of the following as a decimal or a fraction….
Bell Work Write each of the following as a decimal or a fraction….
MAJOR TEST REVIEW WORKSHEET
Do Now 4/29/19 Take out CW/HW from last week. Practice worksheet 9.1
Lesson 8–8 Objectives Be able to solve radical equations and inequalities.
Write each fraction as a decimal.
Presentation transcript:

Objective: Students will be able to use roots to estimate solutions. 8-2 Estimating Roots Objective: Students will be able to use roots to estimate solutions. 8.NS.2 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. 8.EE.2 Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Do Now:

Algebra 2-1 Rational Numbers on a Number Line Write The Following In Exponential Form Then Solve: Algebra 2-1 Rational Numbers on a Number Line 4*4 3*3*3 5*5*5 6*6 7*7 -10*-10*-10 -2.5*-2.5 Harbour

Algebra 2-1 Rational Numbers on a Number Line Squaring: to raise a number to the second power Cubing: to raise a number to the third power. Square Root: one of the two equal factors of a number Cube Root: one of the three equal factors of a number Harbour

Perfect Square: a rational number whose square root is a whole number Perfect Cube: a rational number whose cube root is a whole number Non-Perfect Square: a number whose square root is not a whole number (decimal/fraction) Non-Perfect Cube: a number whose cube root is not a whole number (decimal, fraction)

Algebra 2-1 Rational Numbers on a Number Line Find Each Square or Cube Root Harbour

Perfect Square Roots Perfect Cube Roots

Algebra 2-1 Rational Numbers on a Number Line Estimating Square and Cube Roots: You can estimate the value of a square or cube root by determining which two perfect squares or cubes the number falls in between. Harbour

Algebra 2-1 Rational Numbers on a Number Line Estimate Harbour

Worksheets! Homework 8-2 Pages 85-86 All #’s

Exit Ticket: After an accident, officials used the formula below to estimate the speed the car was traveling based on the length of the car’s skid marks. Where s represents the speed in miles per hour and m is the length of the skid marks in feet. If a car leaves a skid mark of 50 feet, what was its approximate speed?