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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
Discovering Conic Sections in the Motion of Heavenly Bodies
Math scholars study conics and how they are used today. In this mathematical instructional activity, pupils construct and slice cones after viewing a demonstration.
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
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...
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
Ellipses and Kepler's First Law
The class examines graphs in the form r = F(¿¿) in polar coordinates (r, ¿¿), in particular with the circle, ellipse and other conic sections. They determine the nature of an ellipse by studying the role of the semimajor axis and...
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...
EngageNY
Are All Parabolas Congruent?
Augment a unit on parabolas with an instructive math activity. Pupils graph parabolas by examining the relationship between the focus and directrix.
Curated OER
"A Slice of the Cone"
Here is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...
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 instructional activity includes a list of relevent terminology, and a step-by-step process to...
Curated OER
As The World Curves
Students partisipate in a web scavenger hunt on an introductory instructional activity 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
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this instructional activity by applying graphing knowledge to create a unique piece of art. This instructional activity varies acording to the graphing knowledge of the artist. First, learners identify and...
Curated OER
Conic Sections
Young scholars explore the different properties of conics. In this algebra lesson, students calculate the midpoint of a line, the distances between two points as they get ready to find the focus and directrix in eclipse and other conics....
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
Curated OER
Chronic Conics
Fourth graders use two activities to draw four different conic sections. One activity is of a physical nature and one is traditional paper and pencil.
Mathematics Assessment Project
Sorting Equations of Circles 1
Round and round we go. Learners first complete a task on writing equations of circles. They then take part in a collaborative activity categorizing a set of equations for circles based on the radius and center.
Curated OER
Conic Sections and Locii
Students differentiate between ellipse and hyperbola. In this algebra lesson, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.
Curated OER
Parabola
Students complete a worksheet and explore the parabola conic section during a web based activitiy. They answer questions based on their work as they make changes in the features of the parabola.
EngageNY
The Definition of a Parabola
Put together the pieces and model a parabola. Learners work through several examples to develop an understanding of a parabola graphically and algebraically.
Curated OER
Faster speed-Shorter Time
Students calculate the inverse variation, and speed given the formulas. For this algebra lesson, students investigate properties of conics, focusing on the hyperbola. They identify the distance between the directrix and other parts...
Curated OER
Confocal Conics
Young scholars 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...
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.
Mathematics Assessment Project
Sorting Equations of Circles 2
How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...