## Reflection: Problem-based Approaches Graphing Quadratic Functions in Standard Form f(x)=ax^2+bx+c. - Section 1: Warm Up

Again, as I try to increase rigor in the classroom and provide relevance to students, I focus on alternative openers to the class period. I think an alternative opener for this lesson is to on page 29 of this website.  One of the most important formulas for students to learn when working with Quadratic Functions in standard form is the Vertex Formula.

Formula:  V(-b/2a, f(-b/2a)

Yes, improved technology has been able to help students find the maximum easily of a parabola, but I want students to be able to verify it by hand when necessary. It also is helpful to increase precision (MP6) when students struggle with the technology.

As well as being able to understand and use the formula to find the Vertex (Max/Min) of a Quadratic Function in Standard Form, I also want students to be able to apply it to a variety of scenarios. Scenarios that involve throwing a ball, or a projectile is easy for students to understand that the function is parabolic in nature.  However, students have a more difficult time understanding that the formula can also be used for problems to find maximum area, maximum profit, etc. of Quadratic Functions.

Extension or an alternative Opener
Problem-based Approaches: Extension or an alternative Opener

# Graphing Quadratic Functions in Standard Form f(x)=ax^2+bx+c.

Lesson 2 of 10

## Big Idea: To find and plot the vertex first! Evaluate x on one side of the vertex, and use the idea of symmetry to plot the points on the other side of the vertex.

Print Lesson
1 teacher likes this lesson
Standards:
Subject(s):
standard form of an equation, Math, Quadratic Equations, Real World application problem, Graphing Quadratic Functions, graphing using a t, Vertex Formula, Finding the Vertex, Maximum or Minimum
50 minutes

### Rhonda Leichliter

##### Similar Lessons

###### What is Algebra?
Algebra II » Modeling with Algebra
Big Idea: Algebra is built on axioms and definitions and relies on proofs just as much as geometry.
Favorites(36)
Resources(19)
Fort Collins, CO
Environment: Suburban

###### Maximizing Volume - Day 1 of 2
12th Grade Math » Functioning with Functions
Big Idea: A classic maximization problem is used to investigate relative extrema.
Favorites(4)
Resources(12)
Troy, MI
Environment: Suburban

###### Leap of Faith!
Algebra I » Bridge to 10th Grade
Big Idea: Students will find a linear relationship between the number of rubber bands and height.
Favorites(4)
Resources(14)
Washington, DC
Environment: Urban