Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
Curated OER
Algebra 2 Test
In this algebra learning exercise, students solve problems involving functions, systems and conics. They simplify radicals and graph parabolas identifying the focus and ellipse. There are 20 questions.
Concord Consortium
The Line and the Ellipse
What do a line and an ellipse have in common? Maybe zero, one, or two points! Learners consider the equation of an ellipse and a line to determine if their graphs have any shared points. They then write a system of equations, including...
Curated OER
Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
Alabama Learning Exchange
Ellipse
High schoolers explore the concept of ellipses. In this ellipses lesson, they construct ellipses on their paper and follow directions on a worksheet that allow them to investigate an ellipse in more depth by looking at the major axis,...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
Curated OER
Kepler and his Laws
Pupils examine Kepler's Laws. They confirm Kepler's 3rd law by comparing orbital periods and mean distances for all major planets and study conic sections, qualitatively.
Curated OER
Definitions of Parabolas
In this algebra worksheet, 11th graders identify parts of a parabola and circle. They solve systems of equations and answer questions about radius, foci and conics. There are 20 questions on this test.
Curated OER
Planet Paths: Studying Planetary Orbital Paths
Learners define and identify planetary orbit, ellipse, parabola, and hyperbola, and simulate Kepler's Second Law. They explore interactive websites demonstrating orbital motion and complete modeling activities.
Curated OER
Slopes and Slope Intercepts
Learners identify the slope of an equation using various methods. In this algebra lesson, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the slope...
Curated OER
Ellipses (Part 1)
Students work with Ellipses in Algebra II. In this algebra lesson, students solve an equation with a radical expression. They graph ellipses and write an equation for them.
Curated OER
Circles
Students graph circles. In this graphing activity students write equations for circles. Students solve equations for circles and graph the results.
Curated OER
Kepler And His Laws
Pupils engage in an overview of the story of Tycho Brahe and Johannes Kepler, and of Kepler's laws. Each of Kepler's laws be studied separately in more detail in later lessons. They examine Kepler's 3rd law.
Texas Education Agency
Texas Gateway: Graphing Conic Sections: Hyperbolas
Given an equation, the student will use parameter changes to graph a hyperbola and to identify the changes in the graph of a hyperbola.
Wolfram Research
Wolfram Math World: Conic Sections
A fairly comprehensive look at various types of conic sections is presented. Most of the information is presented as introductory, with an emphasis on terminology. Through an understanding of the terminology, one can understand the...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Conic Sections
Hotmath provides 26 practice problems relating to conic sections. Each of the practice problems include a step-by-step guide for solving their conic.
CK-12 Foundation
Ck 12: Interactive Geometry: 10.1 Conic Sections
The conic sections are the cross-sections of a double-napped cone. Depending on the angle of the plane with respect to the cone, a conic section may be a circle, an ellipse, a parabola, or a hyperbola.
Texas Instruments
Texas Instruments: Conic Sections
These questions ask students to write the equations of conic sections given a variety of information. Students are also asked to find the foci of an ellipse and the asymptotes of a hyperbola. Solutions and explanations are included.
CK-12 Foundation
Ck 12: Analysis: General Forms of Conic Sections
[Free Registration/Login may be required to access all resource tools.] In this lesson students review the general forms of conic section equations, identifying conic sections from their equations. Students examine guided notes, review...
Mathigon
Mathigon: Geometry: Circle and Pi: Conic Sections
The circle is one of four different shapes which can be created using "slices" through a cone, a 3-dimensional solid that has a circular base joined to a single point (called the vertex) by a curved side. If you tilt a cone, you get an...
Other
Platonic Realms: Conics
This resource provides in depth information on the conic sections. Click on the underlined words for definitions and diagrams.
Alabama Learning Exchange
Alex: Conic Sections: Discovering the Degenerates
Through a mixture of online exploration, and teacher instruction, students will discover how the degenerate forms of the conic sections are formed and will be able to identify the degenerate case of each conic section.
Paul Dawkins
Paul's Online Notes: Algebra: Hyperbolas
Detailed math tutorial features notes and examples that take a look at the process of graphing hyperbolas.