Presentation is loading. Please wait.

Presentation is loading. Please wait.

 5-Minute Check A. B. C. D. A. B. C. D.. Content Standards A.REI.4 Solve quadratic equations in one variable. a. Use the method of completing the square.

Published byMegan Stewart Modified over 8 years ago

Similar presentations

Presentation on theme: " 5-Minute Check A. B. C. D. A. B. C. D.. Content Standards A.REI.4 Solve quadratic equations in one variable. a. Use the method of completing the square."— Presentation transcript:

1  5-Minute Check A. B. C. D. A. B. C. D.

2 Content Standards A.REI.4 Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x - p) 2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x 2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. Mathematical Practices 6 Attend to precision. Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

3 You solved quadratic equations by completing the square. Solve quadratic equations by using the Quadratic Formula. Use the discriminant to determine the number of solutions of a quadratic equation.

4 Quadratic Formula discriminant

5 KEY Concept IMPORTANT: Always use parenthesis when substituting a number in for a variable! (calculator use included)

6 Cornell Notes 1: Use the Quadratic Formula Solve x 2 – 2x – 35 = 0 by using the Quadratic Formula.

7 You Try – Group Work A.{6, –5} B.{–6, 5} C.{6, 5} D.Ø Solve x 2 + x – 30 = 0.

8 Solve 5x 2 – 8x = 4 by using the Quadratic Formula. Simplify using RADICAL FORM. Cornell Notes 2: Use the Quadratic Formula

9 Solve 5x 2 + 3x – 8 = 0 by using the Quadratic Formula. Simplify using RADICAL FORM. Cornell Notes 3: Use the Quadratic Formula

10 Solve 3x 2 – 2x + 2 = 0 by using the Quadratic Formula. Simplify using RADICAL FORM. You Try – Group Work

11   More practice with Quadratic Formula  How to find the Discriminant Day 2 – Quadratic Formula

12 Key Concept

13 State the value of the discriminant for 3x 2 + 10x = 12. Then determine the number of real solutions of the equation. Step 1Rewrite the equation in standard form. Step 2Find the discriminant. Cornell Notes 4: The Discriminant

14 A.–4; no real solutions B.4; 2 real solutions C.0; 1 real solutions D.cannot be determined State the value of the discriminant for the equation x 2 + 2x + 2 = 0. Then determine the number of real solutions of the equation. You Try – Group Work

Download ppt " 5-Minute Check A. B. C. D. A. B. C. D.. Content Standards A.REI.4 Solve quadratic equations in one variable. a. Use the method of completing the square."

Similar presentations

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–6) CCSS Then/Now New Vocabulary Key Concept: Factoring ax 2 + bx + c Example 1:Factor ax 2.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–6) CCSS Then/Now New Vocabulary Key Concept: Factoring ax 2 + bx + c Example 1:Factor ax 2.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–1) CCSS Then/Now New Vocabulary Key Concept: Product Property of Square Roots Example 1:Simplify.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–1) CCSS Then/Now New Vocabulary Key Concept: Product Property of Square Roots Example 1:Simplify.
If b2 = a, then b is a square root of a.

If b2 = a, then b is a square root of a.
Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x 2 + 55 =

Many quadratic equations can not be solved by factoring. Other techniques are required to solve them. 7.1 – Completing the Square x 2 = 20 5x =
7.1 – Completing the Square

7.1 – Completing the Square
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–1) CCSS Then/Now New Vocabulary Key Concept: Solutions of Quadratic Equations Example 1: Two.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–1) CCSS Then/Now New Vocabulary Key Concept: Solutions of Quadratic Equations Example 1: Two.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–4) CCSS Then/Now New Vocabulary Key Concept: The Quadratic Formula Example 1:Use the Quadratic.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–4) CCSS Then/Now New Vocabulary Key Concept: The Quadratic Formula Example 1:Use the Quadratic.
Solving Quadratic Equations by the Quadratic Formula

Solving Quadratic Equations by the Quadratic Formula
Lesson 9.7 Solve Systems with Quadratic Equations

Lesson 9.7 Solve Systems with Quadratic Equations
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–2) CCSS Then/Now New Vocabulary Key Concept: b Example 1: Radical and Exponential Forms Key.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–2) CCSS Then/Now New Vocabulary Key Concept: b Example 1: Radical and Exponential Forms Key.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–5) CCSS Then/Now New Vocabulary Key Concept: Factoring x 2 + bx + c Example 1:b and c are.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–5) CCSS Then/Now New Vocabulary Key Concept: Factoring x 2 + bx + c Example 1:b and c are.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) CCSS Then/Now New Vocabulary Key Concept: Power Property of Equality Example 1:Real-World.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 10–3) CCSS Then/Now New Vocabulary Key Concept: Power Property of Equality Example 1:Real-World.
Pgs. 259-265. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities,

Pgs For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities,
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–6) CCSS Then/Now New Vocabulary Key Concept: Factoring ax 2 + bx + c Example 1:Factor ax 2.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–6) CCSS Then/Now New Vocabulary Key Concept: Factoring ax 2 + bx + c Example 1:Factor ax 2.
Quadratic Formula Standard Form of a Quadratic Equation ax 2 + bx + c = 0  example  x 2 + 6x + 8 = 0  we learned to solve this by:  factoring  completing.

Quadratic Formula Standard Form of a Quadratic Equation ax 2 + bx + c = 0  example  x 2 + 6x + 8 = 0  we learned to solve this by:  factoring  completing.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–3) CCSS Then/Now New Vocabulary Key Concept: Completing the Square Example 1:Complete the.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–3) CCSS Then/Now New Vocabulary Key Concept: Completing the Square Example 1:Complete the.
Copyright © 2014, 2010, 2006 Pearson Education, Inc. 1 Chapter 3 Quadratic Functions and Equations.

Copyright © 2014, 2010, 2006 Pearson Education, Inc. 1 Chapter 3 Quadratic Functions and Equations.
SOLVING QUADRATIC EQUATIONS Unit 7. SQUARE ROOT PROPERTY IF THE QUADRATIC EQUATION DOES NOT HAVE A “X” TERM (THE B VALUE IS 0), THEN YOU SOLVE THE EQUATIONS.

SOLVING QUADRATIC EQUATIONS Unit 7. SQUARE ROOT PROPERTY IF THE QUADRATIC EQUATION DOES NOT HAVE A “X” TERM (THE B VALUE IS 0), THEN YOU SOLVE THE EQUATIONS.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–7) CCSS Then/Now New Vocabulary Key Concept: Difference of Squares Example 1:Factor Differences.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–7) CCSS Then/Now New Vocabulary Key Concept: Difference of Squares Example 1:Factor Differences.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.2 - 1.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Similar presentations

Ads by Google