Lesson 3-5 Squares and Square Roots

Slides:

Advertisements

Similar presentations

2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

Advertisements

Aim: How do we simplify radical expressions? Do Now: List at least 3 factors of: x 4.

Math 025 Section 10.1 Radicals. Perfect square Square root 1  1 = 1 4  4 = 2 9  9 = 3 16  16 = 4 25  25 = 5 36  36 = 6 49  49 = 7 64  64 = 8 81.

7-4 SQUARE ROOTS ALGEBRA 1 CP OBJECTIVE: FIND AND USE SQUARE ROOTS.

= 9 = 8 = 12 = 19 = 2 = 3 = 17 = 5 = 11 = 5.

Math 009 Unit 4 Lesson 4.

Exponents and Powers Power – the result of raising a base to an exponent. Ex. 32 Base – the number being raised to the exponent. Ex is the base.

( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + ) Simplify the following. ( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – ) 1) – 54 ÷ ( – 9 )= 6 2) – 48 ÷ 6= – 8 3)

Goal: Solving quadratic equations by finding square roots.

Squares and Square Roots. Vocabulary Square root- A number that when multiplied by itself forms a product. Principal square root- the nonnegative square.

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 10.5 Notes Part I: Simplify Radical Expressions Goal: You will simplify radical expressions.

Square Root vocab. And Square Root Notes absent copy Monday 5/5

Simplified Radical Form Objective: 1)Describe simplified Radical Form 2)Simplify radical expressions by a) Factoring out perfect squares b) Combine Like.

Square Roots Unit 1D Day 17. Do Now What are the factors of x ² + 2 x – 3? Solve for x : x ² + 2 x – 3 = 0 What are the x -intercepts of y = x ² + 2 x.

1-2 IRRATIONAL NUMBERS AND SQUARE ROOTS I Can: - Classify numbers as rational or irrational and find and estimate square roots.

Advanced Algebra Notes Section 4.5: Simplifying Radicals (A) A number r is a _____________ of a number x if. The number r is a factor that is used twice.

7.5 – Radical Expressions. Radical Radical – radical symbol.

Lesson Technology Lab: Exterior Angles of a Polygon Obj: The student will be able to use a protractor to study the exterior angles of a polygon HWK: Vocab:

LESSON 12.1 OBJECTIVE: IDENTIFY OR ESTIMATE SQUARE ROOTS, DEFINE AND WRITE SQUARE ROOTS IN SIMPLEST RADICAL FORM. Simplifying Radicals.

Real Numbers and the Number Line

Objective The learner will calculate, estimate, and use square roots.

Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

EQ: How do I simplify and perform operations with radical functions?

11.1 and 11.2 Radicals List all the perfect squares:

Simplifying Radical Expressions

Lesson 1a Notes – Simplifying Square Root Expressions

Lesson 9.1: Radicals (Square roots)

Perfect Squares & Estimating Square Roots

Rational and Irrational Square Roots

Lesson 7-4 Simplifying Radicals.

Math 009 Unit 4 Lesson 4.

Lesson Rational and Irrational Numbers

Math 009 Unit 4 Lesson 4.

Warm Up Simplify

Squares & Square Roots Perfect Squares.

Why do you learn square roots?

Lesson 4-3 Rate of Change and Slope

Section 1.2 Exponents & Radicals

Lesson 2-1 Graphing and Writing Inequalities

Math 3-1: Warm-up.

13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

Lesson 5 Roots Lesson 6 Estimate Roots

Objectives Rewrite radical expressions by using rational exponents.

Lesson 6-6 Special Products of Binomials

Lesson 3-5 Squares and Square Roots

2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

5.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

9.4 Solve by Completing the Square

10.5 Use Square Roots to Solve Quadratic Equations

Math 009 Unit 4 Lesson 4.

Lesson 7-2 Factoring by GCF part 1

Lesson 7-5 Factoring Special Products Lesson 7-6 Choosing a Factoring Method Obj: The student will be able to 1) Factor perfect square trinomials 2) Factor.

Jeopardy Addition of Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200

Squares and square roots

Lesson Rational and Irrational Numbers

Lesson Rational and Irrational Numbers

13.3 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square.

Lesson 4-4 Dilations Obj: The student will be able to identify and create dilations of plane figures HWK: p all Vocab: 1) dilation 2) center of.

Distance and Midpoint Formulas

WARM UP Evaluate the expression Simplify the Expression

6.3 Simplifying Radicals.

Define and Simplify Radicals

Set Up Vocabulary! FRONT BACK 1) Variable 9) Distributive Property

Warm Up Identify the perfect square in each set.

Warm UP Simplify .

Complete the Square January 16, 2017.

Lesson 7-4 Simplifying Radicals.

Warm Up Simplify

Presentation transcript:

Lesson 3-5 Squares and Square Roots Obj: I can find square roots. HWK: p 114 14-45 all Vocab: 1) square root 2) principal square root 3) perfect square root

Every positive number has two square roots – one positive and one negative. Use the symbol ± to indicate both. 16 = 4 - 16 = - 4 so ± 16 = ± 4

Find two square roots of each number Ex 1) 1 Ex 2) 81 Ex 3) 144

Ex 4) The square computer icon contains 676 pixels Ex 4) The square computer icon contains 676 pixels. How many pixels tall is the icon?

Simplify each expression Ex 5) 3 25 + 4 Ex 6) 16 4 + 1 2

Ex 7) 7 5 −4 + 8 9+16