West Contra Costa Unified School District
Conics Introduction and Parabolas
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
Concord Consortium
Walled-Up Parabolas
Jump at the chance to use parabolas. Young mathematicians apply trigonometry to explore the trajectory of a ball in different situations. Some walls cause the ball to bounce, so participants must consider all possibilities.
Curated OER
Transforming Parabolas
For this Algebra II worksheet, 11th graders examine the affects of changing h and k in the vertex form of the parabola. The three page worksheet provides explanation of topic, worked examples, and four practice problems. ...
Mt. San Antonio Collage
Quadratic Functions and Their Graphs
Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the worksheet focuses on application type problems.
Curated OER
Horizontal parabolas
In this horizontal parabola worksheet, high schoolers draw the graph for the horizontal parabola given to them. Students complete 10 problems.
Explore Learning
Quadratics: Polynomial Form
Throught this subscription-based sight, learners explore different aspects of the parabola by changing equations from standard to vertex form. Next, find the general form of the vextex based on the values of a, b, and c, and investigate...
Curated OER
Application of Parabolas
Students graph quadratic equations. In this algebra lesson, students relate the parabola to real life applications. They identify the maximum and minimum of the parabola.
Curated OER
Using the Distance Formula
In this distance formula worksheet, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center, horizontal...
Shodor Education Foundation
Conic Flyer
Graphing conics made easy. Individuals use an interactive to graph conic sections. The app can handle circles, vertical and horizontal parabolas, ellipses, and vertical and horizontal hyperbolas.
Mathematics Vision Project
Circles and Other Conics
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
Curated OER
Easy Worksheet: Writing Equations of Functions
For this writing equations of functions worksheet, students solve 4 short answer problems. Students write equations of transformed parabolas and absolute value equations given a stretch/shrink factor and vertical horizontal shift.
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In 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...
West Contra Costa Unified School District
Graphing Family of Functions
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
West Contra Costa Unified School District
Standard Form of Conics
Looking for a complete go-to guide for the standard form of conics? This five-page packet does a nice job of connecting conics to prior knowledge of functions and transformations. Adapt the resource as Algebra II lesson plan...
Curated OER
Chapter 3 - Worksheet 3E - Functions
In this function worksheet, learners observe graphs and determine if the function of the graph is odd or even. They find the inverse of a function and determine the horizontal asymptote of a function. This four-page worksheet contains...
Concord Consortium
Circling
Come full circle in learning about conic sections. Learners first look at the type of conic section formed when concentric circles intersect a standard coordinate plane. They then see which type forms when two sets of concentric circles...
Curated OER
Dorothy and Kansas: A Volume Problem
This learning exercise 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
Standard Form of Quadratic Functions
Students factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
Curated OER
Translating Parabolas
Students make informed choices among technology systems, resources, and services. They select and apply technology tools for research, information analysis, problem solving, and decision making in content learning.
Curated OER
Hang Time
Students use the equation to calculate the vertical distance an object fall during 1 second in 1/10 second increments. (The acceleration due to gravity on the Earth=a= 9.8 m/s2) Using a graphing calculator, students plot the path of a...
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...
Curated OER
Let's Play Some Ball!
Pupils review horizontal and vertical shifts of a parabola and how they effect a specific quadratic formula. They play a basketball review game in which they try to find the right quadratic equation for a given problem in order to earn...
Curated OER
Hang Time
Students discuss how all objects fall at the same rate and vertical motion is independent of the horizontal motion. Students apply this information to center of mass activities before solving equations.
Curated OER
Hyperbolas
Students locate and identify the center, foci, vertices, and asymptotes fo hyperbolas. They graph equations involving asymptotes and hyperbolas. Finally, students determine the equation of a hyperbola with a horizontal transverse axis.