Chapter 5 Quadratics: 5. 3 Square Roots, 5. 4 Complex Numbers, & 5

Slides:



Advertisements
Similar presentations
Complex Numbers.
Advertisements

Jeopardy Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.
The Discriminant Check for Understanding – Given a quadratic equation use the discriminant to determine the nature of the roots.
If b2 = a, then b is a square root of a.
Algebra A1Mr. Brennan Chapter 9 Quadratic Equations and Functions Review Hamilton-Wenham Regional High SchoolDepartment of Mathematics.
Finding a Quadratic Equation from Complex Roots. Write an equation from the Roots Find the equation of a quadratic function that has the following numbers.
JEOPARDY! Linear Equations Complex Numbers Quadratic Equations Solving Inequalities GO TO.
Intermediate Algebra A review of concepts and computational skills Chapters 6-8.
Mr. Stegman’s FunctionJeopardy THE RULES: Give each answer in the form of a question Instructor/Host’s decisions are FINAL.
Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.
Imaginary and Complex Numbers
200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300 pt 400 pt 500 pt 100 pt 200 pt 300.
Math Jeopardy Complete the Square FactoringQuadratic Formula Solving Equations Complex Numbers
JEOPARDY! Graphing Quadratics Graphing Solving using Square Roots Discriminants GO TO FINAL.
Copyright © 2014, 2010, 2006 Pearson Education, Inc. 1 Chapter 3 Quadratic Functions and Equations.
Solving Quadratics. Methods for Solving Quadratics Graphing Factoring Square Root Method Completing the Square Quadratic Formula.
Chapter 10.7 Notes: Solve Quadratic Equations by the Quadratic Formula Goal: You will solve quadratic equations by using the Quadratic Formula.
Quadratic Equations Absolute Value Equations Radical or Quadratic in Form Inequalities $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Derivation of the Quadratic Formula The following shows how the method of Completing the Square can be used to derive the Quadratic Formula. Start with.
The Quadratic Formula Students will be able to solve quadratic equations by using the quadratic formula.
Homework  WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.
Given a quadratic equation use the discriminant to determine the nature of the roots.
Chapter 5.9 Complex Numbers. Objectives To simplify square roots containing negative radicands. To solve quadratic equations that have pure imaginary.
Solve by factoring. x² = - 4 – 5x 2,. Solve by factoring. n² = -30 – 11n -4 and -1.
Real and Complex Roots 20 October What is a root again?
Chapter 4: Polynomial and Rational Functions. 4-2 Quadratic Equations For a quadratic equation in the form ax 2 + bx + c = 0 The quadratic Formula is.
4.5 “Square Roots”. More Examples Rationalizing the Denominator.
Quadratic Formula. Solve x 2 + 3x – 4 = 0 This quadratic happens to factor: x 2 + 3x – 4 = (x + 4)(x – 1) = 0 This quadratic happens to factor: x 2.
Deriving the Quadratic Formula. The Quadratic Formula The solutions of a quadratic equation written in Standard Form, ax 2 + bx + c = 0, can be found.
FINAL JEOPARDY Quadratics Polynomials Division Rational Functions Nonlinear Inequalities 10.
ANSWERS!. Completing the Square Level 1 Answers Completing the Square Level 2 Answers.
Solving Quadratics Algebra 2 Chapter 3 Algebra 2 Chapter 3.
11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.
Title Name Jeopardy – Round
$100 $400 $300$200$400 $200$100$100$400 $200$200$500 $500$300 $200$500 $100$300$100$300 $500$300$400$400$500.
Solving Quadratic Equations – Part 2 Quadratic Formula - another way to solve quadratic equations based on the standard form for a quadratic equation It.
You can type your own categories and points values in this game board. Type your questions and answers in the slides we’ve provided. When you’re in slide.
Section 2.5 – Quadratic Equations
Jeopardy Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200
Type Subject Here (1). Type Subject Here (1) Type Subject Here (2)
Solving by factoring & taking square roots
Enter Title Here Created by.
Jeopardy Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200
Solve a quadratic equation
(Sections 4-5 pt. 1 & 2, 4-6 pt. 1, 4-7, 4-8 pt. 1 & 2)
The Discriminant Check for Understanding –
Solve x2 + 2x + 24 = 0 by completing the square.
Solving Using Quadratic Equations
Solve x2 + 2x + 24 = 0 by completing the square.
SECTION 9-3 : SOLVING QUADRATIC EQUATIONS
Quadratic Formula & the Discriminant
Section 9.5 Day 1 Solving Quadratic Equations by using the Quadratic Formula Algebra 1.
Jeopardy Addition of Q $100 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200
Absolute Value Equations Absolute Value Inequalities Factoring
The Discriminant Check for Understanding –
Lessons The quadratic Formula and the discriminant
Subject 1. Subject 1 Subject 2 Subject 3 Subject 4.
Questions over HW?. Skills Check Radical Operations and Solving by Square Roots after HW Check.
Final Review Jeopardy Chapter Chapter Chapter 3 100
Completing the Square Algebra Review.
Final Review Jeopardy Chapter Chapter Chapter 8 100
Click to begin..
Final Review Double Jeopardy
JEOPARDY.
Simplify Radical Expressions
L5-7 Objective: Students will be able to solve quadratics by using the quadratic formula.
Topics are Topics are: Imaginary numbers (definition and simplify power of i) Complex numbers Graphing complex numbers. Add / Subtract / Multiply / Divide.
Equations Involving Absolute Value
Presentation transcript:

Chapter 5 Quadratics: 5. 3 Square Roots, 5. 4 Complex Numbers, & 5 Chapter 5 Quadratics: 5.3 Square Roots, 5.4 Complex Numbers, & 5.6 Quadratic Formula

J E O P A R D Y Solving with Square Roots Complex Numbers Radicals Quadratic Formula ????? 100 100 100 100 100 Game Board 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

1-100 100 𝟐 𝒙 𝟐 +𝟕=−𝟏𝟏 What is 𝑥=±3𝑖?

1-200 200 𝟒𝒙 𝟐 −𝟓=𝟐𝟐 What is ?

1-300 300 𝟑 𝒙 𝟐 +𝟕=𝟓 What is ?

1-400 400 (𝒙+𝟐 ) 𝟐 −𝟖=𝟏𝟕 What is 𝒙=𝟑, −𝟕?

1-500 500 ( 𝒙−𝟏) 𝟐 −𝟓=𝟐𝟑 What is ?

100 5+2𝑖 +(7−4𝑖) What is ?

2-200 200 3−2𝑖 −(5−4𝑖) What is ?

2-300 300 5𝑖(7−𝑖) What is 5+35𝑖?

2-400 400 2−4𝑖 (6+5𝑖) What is ?

2-500 500 5+2𝑖 3−7𝑖 What is ?

3-100 100 Simplify: 𝟏𝟖 What is 3 2 ?

3-200 200 Simplify: −𝟒𝟎 What is 2𝑖 10 ?

3-300 300 Simplify: 𝟕 𝟒 What is 7 2 ?

3-400 400 Simplify: −𝟏𝟐 𝟐𝟓 What is 2𝑖 3 5 ?

3-500 500 Simplify: − 𝟑𝟐 𝟓 What is 4𝑖 10 5 ?

100 4-100 𝟐 𝒙 𝟐 −𝟓=𝟐𝟕 What is x = 4 or x = -4?

4-200 200 𝟔 𝒙 𝟐 +𝟏𝟓𝒙=𝟐𝒙+𝟓 What is 𝑥= 1 3 or 𝒙=− 𝟓 𝟐 ?

4-300 300 𝒙 𝟐 −𝟓𝒙+𝟕=𝟎 What is 𝑥= 5±𝑖 3 2 ?

4-400 ? ? ? 𝟑 𝒙 𝟐 −𝟒𝒙=𝟓𝒙+𝟐 What is 𝑥= 9± 105 6 ?

500 4-500 −𝟐𝒙 𝟐 +𝟐𝒙=−𝟑 What is 𝒙= 𝟏 𝟐 ± 𝟏 𝟐 𝟕 ?

5-100 100 The definition of 𝒊. What is −𝟏 ?

The complex conjugate of 5-200 200 The complex conjugate of (𝟐−𝟒𝒊) What is (𝟐+𝟒𝒊)?

The complex conjugate of 5 300 5-300 The complex conjugate of 5 What is 𝟓?

5-400 400 The value of 𝒊 𝟐 What is −𝟏?

5-500 500 The absolute value of: (𝟑−𝟓𝒊) What is 𝟑𝟒 ?

Final Jeopardy Screen FINAL JEOPARDY Graphing

Final Jeopardy Question Draw the graph of the function: y = -x + 4x - 3 2

Final Jeopardy Answer

Thank You For Playing JEOPARDY!

? ? ? Daily Double DAILY DOUBLE