Lesson Plan
Curated OER

Mathematical Relationships

For Teachers 8th - 9th
Learners practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...
Worksheet
Curated OER

Three Methods for Using Quadratic Functions to Model Data

For Students 10th - 12th
For this modeling data worksheet, students use quadratic functions to model data using three different methods.  This worksheet provides explanations and an example.  Additionally, students are given the steps to find the...
Lesson Plan
Curated OER

Solving Quadratic Equations by Graphing

For Teachers 9th - 10th
Students solve quadratic equation by graphing. In this algebra lesson, students use the TI calculator to get a visual of their graph. They create a table of values, plot their points and graph the parabola.
Worksheet
Curated OER

Chapter 10 - Objective 6.1 Graph

For Students 11th - 12th
In this graphing instructional activity, students solve linear and parabolic equations and graph equations on a coordinate plane. They use the discriminant to determine the number of x-intercepts of a parabola. This one-page...
Worksheet
Curated OER

Quadratic Equations

For Students 9th - 12th
In this quadratic equations instructional activity, students answer 15 questions about quadratic equations.  Students complete the square, use the quadratic formula, write equations in vertex form, and solve quadratic equations by...
Lesson Plan
Curated OER

The Doctrine of Signatures

For Teachers 10th - 12th
Students use the graphing calculator and the core equation: y=Ax^2+Bx+C where A = the acceleration of gravity/2, B = the initial velocity, and C = initial height above ground to graph parabolas for Earth and Mars. They experiment with...
Activity
PBL Pathways

Arch Project

For Students 10th - Higher Ed Standards
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
Assessment
1
1
Balanced Assessment

Catenary

For Students 11th - 12th
Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close...
Lesson Plan
Curated OER

Kitchen Paraboloids

For Teachers 9th - 12th
Students solve quadratic equations and identify functions. In this algebra lesson, students graph parabolas and identify properties describing the shape of the parabola. They find the vertex and rewrite the equation in standard form.
Worksheet
Curated OER

Classifying Conic Sections

For Students 10th - 11th
In this conic section worksheet, students classify 8 conic sections. They write the standard form of 8 conic sections. Students sketch the graph of six shapes. For the graphs, students are directed to find either vertex and focus, or...
Worksheet
Curated OER

Dorothy and Kansas: A Volume Problem

For Students 10th
This worksheet contains 1 Algebra II scenario where students must determine the volume of a tornado, Kansas, and the space needed to take all of Kansas to OZ. Full explanation with equations are included.
Lesson Plan
Curated OER

Quadratic Formula

For Teachers 9th - 12th Standards
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.
Worksheet
Shmoop

Functions Worksheet 6

For Students 9th - 12th Standards
Instead of the typical function application problems, learners think a little deeper through these ten problems. Multiple types of functions are represented and the questions add a variety of thinking to practice their skills. 
Worksheet
Curated OER

Applications of Quadratic Functions

For Students 11th - Higher Ed
In this math worksheet, students investigate the quadratic functions. They solve the word problems while writing the new algebra expressions.
Lesson Plan
West Contra Costa Unified School District

Particle Motion

For Teachers 11th - Higher Ed Standards
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
Lesson Plan
Curated OER

Graphs and Ellipses

For Teachers 9th - 12th
Students explore linear graphs, the parabola and the rectangular hyperbola.
Lesson Plan
Curated OER

Mirror Curvature

For Teachers 7th - 9th
Students investigate parabolas as the shape of a telescopic mirror.  In this Algebra I/Algebra II lesson, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
Worksheet
Curated OER

The Graph of a Quadratic Function

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students graph quadratic functions.  The five page worksheet contains a combination thirteen multiple choice and free response questions.  Answers are included. 
Lesson Plan
Curated OER

Model Data with Quadratic Functions

For Teachers 8th - 11th
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Lesson Plan
Shodor Education Foundation

Cross Sections

For Teachers 7th - 12th Standards
Use this activity on cross-sections of three-dimensional shapes in your math class to work on algebra or geometry Common Core standards. The lesson includes a list of relevent terminology, and a step-by-step process to illustrate the...
Activity
Illustrative Mathematics

Building an Explicit Quadratic Function by Composition

For Teachers 8th - 12th Standards
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of...
Lesson Plan
Curated OER

Confocal Conics

For Teachers 11th - 12th
Students describe conic sections from an equation or graph. They examine a family of conics that share a vertex, describe their relationship and write an equation. Students interpret the relationship between conic sections and write...
Lesson Plan
Curated OER

Lesson 5: The Quadratic Formula

For Teachers 9th - 12th
Students plot quadratic curves to distinguish how different values of a affect a graph. They solve quadratic equations by completing the square. Student's recognize the connection between the roots and the corresponding graph's...
Lesson Plan
Curated OER

Lesson 1: Exploring Quadratic Graphs

For Teachers 8th - 10th
Young scholars, using a specified website, plot quadratic curves to distinguish how different values of a affect a graph. They investigate how the constant and the absolute value of a function affects the graph. They identify the...