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.
Curated OER
Ellipses (Part 1)
Learners 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.
Alabama Learning Exchange
Ellipse
Students 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, foci, etc.
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
Graphs and Ellipses
Students explore linear graphs, the parabola and the rectangular hyperbola.
Curated OER
Graphs And Ellipses
Students become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked example.
Curated OER
Planet Paths: Studying Planetary Orbital Paths
Students 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
Discovering Conic Sections in the Motion of Heavenly Bodies
Math scholars study conics and how they are used today. In this mathematical lesson, pupils construct and slice cones after viewing a demonstration.
Curated OER
As The World Curves
Students partisipate in a web scavenger hunt on an introductory lesson for conic sections. They become familiar with general forms of the equations, what they look like, and how they are used in the real-world.
EngageNY
Curves from Geometry
Escape to investigate hyperbolas. Pupils take a look at what happens to the elliptical orbital path of a satellite that exceeds escape velocity as the opener to the eighth lesson in a unit of 23. Scholars analyze basic hyperbolas and how...
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...
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 notes, or...
Curated OER
Conics in Geometry
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry lesson. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...
Curated OER
Graphing Conics
Students explore conics using four different graphs. In this calculus lesson, students analyze parabola, hyperbolas, circles and ellipses. They find the directrix and discuss how they relate to each type of graph.
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...
Curated OER
Introduction to Conic Sections
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
Curated OER
Circles
Students graph circles. In this graphing instructional activity students write equations for circles. Students solve equations for circles and graph the results.
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
Hyperbolas: Sketching from the Equation
In this algebra worksheet, young scholars sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
Curated OER
Kepler And His Laws
Students 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.
Curated OER
Kepler and his Laws
Students 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
Conic Sections
Students, while using a graphing calculator, graph systems of conic sections as well as identify their solutions. They complete various word problems dealing with conic sections with their calculators. In addition, students sketch graphs...
Curated OER
Hyperbolas
Students find the center, foci, vertices, and asymptotes of hyperbolas. They graph hyperbolas and determine the equation of a hyperbola with a horizontal transverse axis. They derive general coordinates for the foci of a hyperbola with a...
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.