Solving Quadratics-Choosing a Strategy

Presentation

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA-REI.B.4B, HSA.CED.A.1, HSA.REI.B.4

Standards-aligned

Alicia Brunette

Used 102+ times

FREE Resource

5 Slides • 11 Questions

Solving Quadratics-Choosing a Strategy

Learning Target: I can choose the most efficient method to solve quadratics

Methods to Solve Quadratics

Zero Product Property (area model & diamond)
Complete the square (rewrite into perfect square form)
Quadratic formula (evaluate with a, b, and c values)

Poll

Which method are you MOST confident with?

Factoring

Complete the Square

The Quadratic Formula

Poll

Which method are you LEAST confident with?

Factoring

Complete the Square

The Quadratic Formula

Multiple Choice

Which option shows what quadratics in standard form look like?

$y=ax\ +bx^2+c$

$y=ax^2+bx+c$

$y=a\ +bx+cx^2$

$y=ax^2+b+cx$

Zero Product Property

Must equal 0
Works for SOME quadratics
Use when numbers are the smaller & easily factorable

Multiple Choice

Use Zero Product Property to solve

x²+ 2x - 15 = 0

x = 3 or x = 5

x = 5 or x = -3

x = -5 or x = 3

x = -3 or x = -5

Complete the Square

Use this when a, the coefficient of x² , is 1
Best when b, the coefficient of x, is even

Multiple Choice

What should be added to both sides of the following equation to complete the square?
x² + 12x = 5

The Quadratic Formula

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
Works for ALL quadratics
Great for quadratics with large coefficients
Must equal 0

Multiple Choice

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a = 4, b = -8, c = 3

a = 4, b =-8, c =-3

a = 4, b = 8, c = 3

a = 4, b = 8, c = -3

Multiple Choice

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

No Real Solution

Poll

Decide on the best method:

x² - 3x - 54 = 0

Factoring

Complete the Square

The Quadratic Formula

Poll

Decide on the best method:

x² + 2x = -9

Factoring

Complete the Square

The Quadratic Formula

Poll

Decide on the best method:

3x² + 13x = -4

Factoring

Complete the Square

The Quadratic Formula

Poll

Decide on the best method:

4x²+ 12x + 9 = 81

Factoring

Complete the Square

The Quadratic Formula

Solving Quadratics-Choosing a Strategy

Learning Target: I can choose the most efficient method to solve quadratics

Show answer

Auto Play

Slide 1 / 16

SLIDE

Similar Resources on Wayground

12 questions

Ch 5-1 Intro to Solving Systems of Equations with Graphing

Presentation

•

9th - 10th Grade

11 questions

Linear Equation in two variable

Presentation

•

9th Grade

11 questions

Quadratic Transformations

Presentation

•

9th - 11th Grade

10 questions

Inscribed Angles (Quadrilaterals)

Presentation

•

10th Grade

9 questions

Sine, Cosine, and Tangent

Presentation

•

10th Grade

11 questions

Logarithm

Presentation

•

10th - 11th Grade

11 questions

Volume of Prisms and Cylinders

Presentation

•

9th - 10th Grade

13 questions

Triangle Sum Theorem Notes

Presentation

•

10th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade