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Curated OER
Mathematical Relationships
Students 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...
Curated OER
Three Methods for Using Quadratic Functions to Model Data
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...
Curated OER
Solving Quadratic Equations by Graphing
Students solve quadratic equation by graphing. In this algebra instructional activity, 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.
Curated OER
Chapter 10 - Objective 6.1 Graph
In this graphing worksheet, 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 contains ten...
Curated OER
Quadratic Equations
In this quadratic equations worksheet, 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 factoring.
Curated OER
The Doctrine of Signatures
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...
PBL Pathways
Arch Project
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...
Balanced Assessment
Catenary
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...
Curated OER
Kitchen Paraboloids
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.
Curated OER
Classifying Conic Sections
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...
Curated OER
Dorothy and Kansas: A Volume Problem
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.
Curated OER
Quadratic Formula
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.
Shmoop
Functions Worksheet 6
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.
Curated OER
Applications of Quadratic Functions
In this math worksheet, students investigate the quadratic functions. They solve the word problems while writing the new algebra expressions.
West Contra Costa Unified School District
Particle Motion
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...
Curated OER
Graphs and Ellipses
Students explore linear graphs, the parabola and the rectangular hyperbola.
Curated OER
Mirror Curvature
Students investigate parabolas as the shape of a telescopic mirror. In this Algebra I/Algebra II lesson plan, students explore the relationship between the coefficients of a quadratic function and the shape and position of the...
Curated OER
The Graph of a Quadratic Function
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.
Curated OER
Model Data with Quadratic Functions
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.
Shodor Education Foundation
Cross Sections
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...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
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...
Curated OER
Confocal Conics
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...
Curated OER
Lesson 5: The Quadratic Formula
High schoolers 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...
Curated OER
Lesson 1: Exploring Quadratic Graphs
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...