About This Chapter
Standard: Graph linear and quadratic functions and show intercepts, maxima, and minima. (CCSS.Math.Content.HSF-IF.C.7a)
Standard: Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context. (CCSS.Math.Content.HSF-IF.C.8a)
About This Chapter
Once students have mastered quadratic functions, they'll be able to finish the square to indicate values and zeros. Students will also be able to fully understand factoring when they have a full grasp of quadratic functions. The lessons in this standard cover such topics as:
- The various forms of parabolas
- Quadratic functions vs. parabolas
- x and y intercepts
- Maxima and minima of quadratic functions
- Zeros of quadratic functions
- Using quadratic functions to solve problems
You'll know when your students have a thorough comprehension of quadratic functions when they're able to identify the intercept, vertex and standard form of parabolas and can identify the different intercepts of quadratic functions. In addition to preparing students for college, they can also use quadratic functions in sports, aeronautical engineering, sales analysis and forestry.
How to Use These Lessons in Your Classroom
Use these suggestions on how to incorporate the video lessons into your teaching methods and engage students in fun activities to get students interested in quadratic functions.
Put Students in Groups
When learning about maxima and minima, splits students into groups where half of them learn about maxima and the other half learn about minima. You can then mix up the groups up so that members of the minima group teach members of the maxima group what they've learned and vice versa. At the end of the class you can test how well the students were able to teach each other.
At the end of the Parabola lesson, preview the Parabolas in Standard, Intercept, and Vertex Form lesson and give students a take home quiz to give them an idea of what they'll be learning in the next class.
Create a Game Show
When you get to the Problem Solving using Quadratic Functions lesson, create a game show where you're the host and the students are grouped into teams. Give the teams a problem to solve using quadratic functions and a time limit. One student from each team will go up to the board to solve the problem. Teams who get the answers right can earn extra points. You could also allow students to tap in and out if they're unable to complete an answer on their own.
1. What is a Parabola?
A parabola is the U shape that we get when we graph a quadratic equation. We actually see parabolas all over the place in real life. In this lesson, learn where, and the correct vocab to use when talking about them.
2. Parabolas in Standard, Intercept, and Vertex Form
By rearranging a quadratic equation, you can end up with an infinite number of ways to express the same thing. Learn about the three main forms of a quadratic and the pros and cons of each.
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Other chapters within the Common Core Math - Functions: High School Standards course
- Common Core HS Functions - Basics
- Common Core HS Functions - Sequences
- Common Core HS Functions - Graphing
- Common Core HS Functions - Linear Functions
- Common Core HS Functions - Common Functions & Transformations
- Common Core HS Functions - Polynomial Functions
- Common Core HS Functions - Rational Functions
- Common Core HS Functions - Exponential & Logarithmic Functions
- Common Core HS Functions - Trigonometric Functions