Linear & Quadratic Functions

Linear & Quadratic Functions

Linear and Quadratic Functions are two important notions in algebra that help students identify connections and trends in math as well as daily life. Being able to graph quadratic equations and use different types of them gets students prepared for calculus, physics and economics. By exploring this subject, students practice problem-solving and gain confidence in using math.

Graphs

They are taught to plot functions, linear and quadratic, on graphs to understand their main features. They discuss how graphs illustrate the relationship between different variables and predict what those relationships could mean going forward. When you are good at graphing, you can better understand equations and inequalities.

Vertex Form

In this phase, learners focus on the vertex form of quadratic functions to identify their highest or lowest point. It becomes helpful to graph and analyze quadratic functions because they can see the vertex and axis of symmetry easily. It is helpful for understanding real situations such as how things move through the air and solving various optimization tasks.

Factored Form

Those who study factored form are able to quickly find the roots or zeros of a quadratic equation. By learning how to factor and understand this form, you can solve equations and observe the behavior of different functions. In factored form, math equations relate to how their graphs are formed.

Activity Idea

Parabola Art - Sketch parabolas by converting between vertex and factored forms.

Entertainment Activities

1. Graph Paper Fun - Plot parabolas from vertex and factored forms.

2. Folded Function - Use folding paper to show symmetry of vertex form.

3. Matching Game - Match equations to their graphs.