Curated OER
Linear and Quadratic System
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
Curated OER
Forms of Quadratic Equations
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson. In this transforming parabolas to fit a particular quadratic equation lesson, high schoolers describe the transformations of the...
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
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...
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Curated OER
Completing the Square
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
Curated OER
Telescope #2
Students investigate parabolas as the shape of a telescopic lens. 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...
Curated OER
Graphs and Ellipses
Pupils 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, students explore the relationship between the coefficients of a quadratic function and the shape and position of the parabolic...
Curated OER
Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
Curated OER
The Derivative
In this derivative worksheet, students estimate the derivative of given functions. They identify the slope, the rate of change find the slope of a parabola. This two-page worksheet contains definitions, examples and five problems,
Curated OER
Quadratic Formula
Students factor and solve quadratic equations.In this algebra lesson, students identify the roots of an equation using the quadratic formula. They graph and identify the properties of a parabola.
Curated OER
Exploring Quadratic Graphs
Students solve quadratic equations using graphs. In this algebra lesson, students factor quadratic equations and graph their answer. They discuss the shape of their graph based on the function.
Curated OER
Practice Test: Vector Equations
In this vector equations worksheet, learners sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page worksheet contains 6...
Curated OER
Parabolas
Students review the definition of a parabola. They trace a parabola by locating points the same distance from a point as they are to a line. Students develop an equation for a parabola with its vertex at the origin. Students solve...
Curated OER
Graphs and Functions
Students are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
Curated OER
Lesson 1: Exploring Quadratic Graphs
Students, 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 parabola...
Alabama Learning Exchange
There's Gold in Them There Hills
Need to build a laser fence on Mars? For this cute maximizing-area lesson, young explorers pretend to be prospectors on Mars and must determine the best way to use 20 meters of fencing in order to maximize their area. In addition,...
Curated OER
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this instructional activity is...
Curated OER
Discovery Research of Quadratics
Students investigate the properties behind the quadratic equation. In this algebra lesson, students identify quadratic equation in the real world. They graph the parabola and identify the vertex and intercepts.
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
Balanced Assessment
Para-Ball-A
Analyze the flight of a thrown ball. Learners determine the maximum height of a thrown ball and the time it takes to hit the ground given its initial speed. They continue to review different scenarios with different maximums or...
Curated OER
Math 155 Worksheet 6
For this college level calculus worksheet, students determine the derivatives of the indicated functions and solve application problems. The two page worksheet contains seven problems. Answers are not included.
Curated OER
ART PROJECT
Eighth graders, after researching the properties of graphs of conic sections, absolute value and inverse relations, make a drawing of precise functions and relations from a specified list of equations. The final design should analyze the...