Unit 6

Quadratic Functions

In Unit 6, we will be focusing on quadratic equations and their properties, including graphing, factoring, and applying the quadratic formula. It's important to demonstrate your understanding of these concepts in order to build a strong foundation for future math courses. We will spend a lot of time comparing quadratic functions to both linear and exponential functions to see what similarities they have in common and what makes them different.

Lesson 1

Lesson 1 is all introducing quadratic functions for the first time and comparing them to linear and exponential functions. Here are some videos below.

Comparing Linear, Exponential, and Quadratic Functions

Linear, Quadratic, and Exponential Models

Compare and Contrast Linear, Exponential, and Quadratic Functions

Lesson 2

Now that we know what quadratic equations are and how to identify them, we are going to practice writing their explicit and recursive equations.

Writing Recursive Equations for Quadratics

Recursive Equation: Quadratic

Explicit Equations for Quadratic Functions

Explicit Equation: Quadratic Functions

Lesson 3

This lesson relates quadratics to linear functions. Did you know that quadratic functions are what you get if you add up all the terms of linear functions? Now you do. I couldn't find any videos for this lesson, but it's a cool idea that you should know.

Lesson 4

Lesson 4 shows us some cool aspects of quadratic functions. It can be used to model the area of a pen. If you're trying to find the biggest inside a fence with limited material, use a quadratic.

Use Quadratic Functions to Model Area

Modelling with Quadratic Functions

Lesson 5

What moves faster, a tortoise or a hare? What grows faster, exponential functions or quadratic? Well actually it's exponential. Here are some videos to show this.

Comparing growth of exponential & quadratic models | Algebra I | High School Math | Khan Academy

Comparing Rates of Change of Linear, Exponential, and Quadratic Functions

Lesson 6

Lesson 6 is a cumulative lesson so you are practicing what you have already learned. I'm attaching some videos for you to refresh how to distinguish between the three types of functions.

Determining if a Function is Linear, Quadratic, or Exponential from a Table

Comparing Linear, Exponential, and Quadratic Funtions: tables, graphs and equations.

Extra Practice

As always, Khan Academy.

Quadratic functions & equations | Algebra 1 | Math | Khan AcademyWe've seen linear and exponential functions, and now we're ready for quadratic functions. We'll explore how these functions and the parabolas they produce can be used to solve real-world problems.

Unit 6 Assessment Review

Alg 1 U6 Review Vid.mp4

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