# Conic Sections Teacher Resources

Find Conic Sections lesson plans and worksheets

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Lesson Planet

#### Let's Make Conics Comical

Conics have a lot of little pieces and a lot of rules to make them what they are. This collection provides a video for each of the main conics, as well as lesson plans, unit plans, activities, and worksheets. The resources are all high...

Lesson Planet

#### Introduction to Conic Sections

Here parabolas, circles, ellipses, and hyperbolas are introduced by showing a general graph of each. By showing intersection of a plane and a cone to create the different conic sections one can see how these curves are related.

Lesson Planet

#### Conic Sections

In this conic sections worksheet, students solve and complete 17 various types of problems. First, they write the conics in standard form and graph. Then, students determine the equation that best represents each description that...

Lesson Planet

#### Introduction to Conic Sections

What do circles and parabolas have in common? An informative video focuses on the intersection of a plane with a double cone creates conic sections, including circles, parabolas, ellipses, and hyperbolas. Two problem videos cover...

Lesson Planet

#### Identifying Conics 1

After watching this video, you should be able to write an equation of a conic section in standard form, and identify the conic section from its equation. In an example problem, Sal reviews how to complete the square and graph an ellipse...

Lesson Planet

#### Identifying Conics 2

In this video, Sal shows again how to write an equation of a conic section in standard form and identify the conic section it represents. This time, his example is of a hyperbola (not centered at the origin), which he also graphs.

Lesson Planet

#### Conic Identification 3

This is the last of three well-done videos on identifying and graphing conic sections from an equation. Here, Sal shows graphing a circle, not centered at the origin, and a parabola that opens downward.

Lesson Planet

#### Identifying Conics 1

Lesson Planet

#### Identifying Conics 2

Lesson Planet

#### Conic Sections

In this conic sections learning exercise, students solve and complete 8 different problems identifying various types of conic sections. First, they write each equation given in standard form. Then, students determine whether the graph of...

Lesson Planet

#### Conic Sections

In this conic sections worksheet, 11th graders solve and complete 24 different types of problems. First, they write each equation in standard form. Then, students state whether the graph of the equation is a parabola, ellipse, circle, or...

Lesson Planet

#### Conic Identification 3

Lesson Planet

#### Conic Sections: Intro to Hyperbolas

In this video, Sal starts with the equation of a hyperbola by first comparing it to the equation of the circle, and ellipse. He then shows how to find the equation of the asymptotes by solving for y. He also shows a few intuitive ways to...

Lesson Planet

#### Conic Sections: Hyperbolas 3

Continuing with the study of graphing hyperbolas, Sal shows an example of graphing a parabola that is centered at a point off the origin. By looking at the equation, first without shifting it, he helps listeners develop an intuitive...

Lesson Planet

#### Algebra 2 - Conic Sections - Parabolas

The first minute and a half of this video rambles on before the presenter begins to talk about conic sections. Using a whiteboard, he dissects a cone to show the different shapes that are inside, focusing on parabolas. He gives an...

Lesson Planet

#### Conic Sections: Hyperbolas 2

Here is an example in this video of graphing a hyperbola centered at the origin. First, Sal shows solving for the equations of the asymptotes and then shows how to determine the direction of the hyperbola. He takes the approach of not...

Lesson Planet

#### Conic Sections: Intro to Ellipses

In this video, the equation and graph of an ellipse is explored by first centering the ellipse at the origin, and then shifting it and showing how that change is reflected in the equation. The terms minor axes, major axes, semi-minor...

Lesson Planet

#### 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.

Lesson Planet

#### Conic Sections: Intro to Circles

The equation of a circle is explored in this video by looking first at the equation of a circle with the center at the origin; then building upon that, equations of circles that are shifted off the origin.

Lesson Planet

#### Conic Sections: Intro to Hyperbolas

Lesson Planet

#### Conic Sections: Hyperbolas 2

Lesson Planet

#### Conic Sections: Hyperbolas 3

Lesson Planet

#### 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.

Lesson Planet

#### Saxon Math: Algebra 2 (Section 10)

In this 10th of 12 Saxon math sections, the curriculum definitely has an end-of-course feel to it. Conic sections, polar graphing, rational equations, and exponential inequalities all work to stretch the young algebrist and prepare them...

Lesson Planet

#### Conics

In this conic sections learning exercise, 11th graders solve and complete 16 different types of equations. First, they find the equation of the conic that has a given focus and directrix. Then, students convert each given polynomial to...

Lesson Planet

#### Classifying Conic Sections

In this conic section worksheet, students classify 8 conic sections. They write the standard form of 8 conic sections. Students sketch the graph of six shapes. For the graphs, students are directed to find either vertex and focus, or...

Lesson Planet

#### Conic Sections Crossword Puzzle

In this conic sections worksheet, students describe conic sections and work conic sections with the given formula. They place their answers in the crossword puzzle provided. This puzzle contains 12 problems. Answers are provided on the...

Lesson Planet

#### Eccentricity of Conic Sections

For this conic sections worksheet, 11th graders solve and complete 26 various types of problems. First, they identify the eccentricity of each equation shown. Then, students use the information provided to write the standard form...

Lesson Planet

#### Foci of a Hyperbola

In this video, Sal defines the vertex and the foci of a hyperbola, and shows how to locate both. By comparing the hyperbola to an ellipse throughout the video, the listener sees the similarities between these two conic sections. This...

Lesson Planet

#### Foci of a Hyperbola

Lesson Planet

#### Parametric Equations 3

Following his intuitive manner, Sal considers another set of parametric equations. This time, he looks at two equations using trigonometric functions and using one of the basic trigonometric identities, removes the parameter from the...

Lesson Planet

#### 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.

Lesson Planet

#### 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.

Lesson Planet

#### 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...

Lesson Planet

#### Parabolas: Invisible Graph

Envision the function as the point swings. Given a point connected to another point and a line, pupils trace through an invisible graph. Learners identify the name of the given point and the line and determine the type of conic section...

Lesson Planet

#### How to Find the Center and Radius of a Circle

Working with conic sections is algebraically intense. Use this video to remind learners of the process of writing a conic in standard form to aid in finding its key features. It explains the steps to writing a circle equation in standard...

Lesson Planet

#### 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.

Lesson Planet

#### College Level Study Guide

In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...

Lesson Planet

#### Conic Sections

Learners, 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...

Lesson Planet

#### Conic Sections and Nonlinear Systems of Equations

In this conic sections and nonlinear equations worksheet, students solve 25 multiple choice problems. The worksheet is a review of the conic sections and nonlinear systems chapter of an intermediate algebra course, so the topics vary...

Lesson Planet

#### Conics in Geometry

High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry lesson plan. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...

Lesson Planet

#### 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...

Lesson Planet

#### Conic Sections

Students investigate conics as it applies to life. In this algebra lesson, students solve problems with hyperbola, circles, ellipses and parabola. In this conic section, students identify directrix and focus, along with the vertex and...

Lesson Planet

#### You Can Cut It – Grade 11

Eleventh graders explore cross-sections of solids. In this Algebra II instructional activity, a hands-on approach provides the opportunity for students to be actively involved in exploring conic sections. This approach accommodates...

Lesson Planet

#### Cross Sections

Young visual learners explore different cross sections of 3-dimensional objects. First, cross sections of cubes are explored by using an interactive flash activity. This is then extended by looking at cross sections of spheres,...

Lesson Planet

#### Foci of an Ellipse

The foci of an ellipse are explored in this video. First, foci are shown as the two points on the major axis such that the sum of the distance from a point on the ellipse and the foci points is the same as the distance from any point on...

Lesson Planet

#### Proof: Hyperbola Foci

In a video that is quite involved, algebraically, Sal proves that the distance of the foci from the center of a hyperbola is the square root of a2+b2. Since the algebra shown here is challenging, this video might be appropriate as an...

Lesson Planet

#### Foci of an Ellipse

Lesson Planet

#### Review Sheets: Trigonometry

Review guide, practice test, homework packet? Yes, yes, and yes as it's all possible with a wonderful trigonometry packet. Every type of problem is there, starting from the unit circle and ending with conic sections.

Lesson Planet

#### Ellipses and Kepler's First Law

The class examines graphs in the form r = F(Â¿Â¿) in polar coordinates (r, Â¿Â¿), 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...

Lesson Planet

#### What is an Ellipse?

This video answers the question, �What is an ellipse?� It gives a definition of an ellipse, shows the ellipses relation of a plane to a cone, and the names of different parts of the ellipse.

Lesson Planet

#### Standard Conic Section

In this precalculus worksheet, students put the equations in standard form and solve the problems focusing upon finding the conic sections for the two questions.

Lesson Planet

#### Graphs and Equations of Conic Sections Practice Test

In this conic section learning exercise, students complete a thirty-one question practice test containing matching and problem solving conic equation and conic graph problems. The solutions are provided.

Lesson Planet

#### Graphing Equations in Space

In this equations in two/three-dimensional space worksheet, students practice solving equations involving two/three-dimensional space configurations and finding the center and radius of spheres in twenty-six equations and two word problems.

Lesson Planet

#### 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.

Lesson Planet

#### 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.

Lesson Planet

#### Explore the Properties of a Parabola and Practice Writing Its Equation

See how writing equations for parabolas is all about distances. Young mathematicians measure distances of line segments drawn on the graph of a parabola. Using the relationships they find in the segments, they write equations for...

Lesson Planet

#### Conic Sections: The Ellipse

Young scholars investigate properties of conics. For this algebra lesson, students graph conics and identify the center and vertex. They write equations for different conics such as hyperbola, circle and ellipse.

Lesson Planet

#### Algebra 2: Conics

In this conic worksheet, 10th graders sketch given equations on a coordinate plane and identify any asymptotes. This two-page worksheet contains twelve multi-step problems.

Lesson Planet

#### Pre-Calculus Review Sheet

Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs.

Lesson Planet

#### 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...

Lesson Planet

#### Quick Reference Card

A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus.

Lesson Planet

#### Parent Functions Review Sheet

No laundry or cooking dinner here: these parent functions are all about math. Every graph you could think of from basic linear functions to the hyperbolic arccotangent function are included. With 40 parent functions, the worksheet can be...

Lesson Planet

#### GeoGebra Graphing Calculator

So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.

Lesson Planet

#### Introduction to Conics - The Ellipse

High schoolers identify and graph ellipses. After a teacher led discussion on shapes created when intersected by a plane and the use of conic sections, learners create a graphic organizer containing the information. A United Streaming...

Lesson Planet

#### Conic Sections

Students 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. They...

Lesson Planet

#### Conic Sections Applications and Properties

In this algebra learning exercise, 11th graders graph parabolas and figure out the major axis and minor axis of the graph. They also find the focus. There are 4 problems on this learning exercise.

Lesson Planet

#### Ellipse Elements and Equations

Challenge your class to provide an ellipse when given two points and two lines. The lesson presents both graphical and analytical methods to writing the equation of an ellipse. The class investigates its components, how they relate to...

Lesson Planet

#### Conic Investigation

Your learners will see the light as they calculate and measure the focus of the elliptical shape of the bowl of a flashlight. They then compare the theoretical and actual focus lengths and their relation to the description of the beam of...

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.

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.

EngageNY

#### End-of-Module Assessment Task - Algebra 2 (Module 1)

A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations.

Lesson Planet

#### Ellipses Centered at the Origin: Lithotripsy

Investigate ellipses through the lens of medical applications. Pupils use a medical scenario to determine the equation of an ellipse. By using the interactive, learners determine the foci and major and minor axes of the ellipse that...

Lesson Planet

#### Ellipses: The Ellipse

Learners explore ellipses by changing the lengths and orientation of the major and minor axis. Using the interactive, they determine the equation of the ellipse and its eccentricity. Given an equation the scholars identify the center,...

Lesson Planet

#### Hyperbolas

Hyperbolas—practice thinking outside of the box. Pupils alter the end behavior box to create various graphs of hyperbolas. They determine formulas to find the distance from the origin to the foci. Using that information, scholars...

Lesson Planet

#### Equations of Circles: The Sea of Happiness

Map this! Help your young mathematicians draw a circular island on a map. Given specifics of the location and size of an island on a map, pupils transform a circle to meet the given requirements. They then determine the location of the...

Lesson Planet

#### Equations of Circles: Finding the Equation of a Circle

It's all about location and size. With the aid of the interactive, pupils explore the relationship between the location and size of a circle and its equation. The learners use that relationship to determine the equation of a circle given...

Lesson Planet

#### College Algebra

Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...

Lesson Planet

#### 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...

Lesson Planet

#### Intermediate Algebra

Algebra concepts are all wrapped up in one nice bow. The resource combines all the concepts typically found in Algebra I and Algebra II courses in one eBook. The topics covered begin with solving linear equations and move to linear...

Lesson Planet

#### Saxon Math: Algebra 2 (Section 12)

This final section of 12 Saxon Math units for algebra 2 wraps up the series with a strong showing of function summaries, trigonometric applications, and statistical analysis. Labs emphasize guided discovery learning of regression...

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.

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.

Lesson Planet

#### Sorting Functions

Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...

Lesson Planet

#### Discovering Properties of Parabolas by Comparing and Contrasting Parabolic Equations

Here's a lesson with a laser focus on parabolas. Pupils learn how to derive the equation of a parabola given the equation of the directrix and the coordinates of the focus. Using a reference sheet, learners work in groups to derive the...

Lesson Planet

#### Desmos Graphing Calculator

They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....

Lesson Planet

#### Graphing Circles: Lesson

Explore a standard method to graph a circle. Given the standard form of the equation of a circle, the segment of a basic geometry playlist shows how to graph the circle. The resource works examples of graphing a circle, finding the...

Lesson Planet

#### 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...

Lesson Planet

#### 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...

Lesson Planet

#### Conic Sections

In this conic sections worksheet, students fill in the blanks to six questions associated with plane geometric figures, conic sections and intersecting planes.

Lesson Planet

#### 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...

Lesson Planet

#### 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...

Lesson Planet

#### Solving Systems Involving Quadratic Equations

Students plot the graphs of systems of equations and solve the solution to the equations algebraically. In groups, they investigate the solution of two conic sections. Students graph equations and find the points of intersection.

Lesson Planet

#### Algebra 2 Test

In this algebra worksheet, students solve problems involving functions, systems and conics. They simplify radicals and graph parabolas identifying the focus and ellipse. There are 20 questions.

Lesson Planet

#### Ellipse

High schoolers explore the concept of ellipses. In this ellipses lesson plan, 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...

Lesson Planet

#### Conic Sections and Locii

Learners 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.

Lesson Planet

#### Conics

In this conics worksheet, 11th graders solve and complete 57 various types of problems related to conics. First, they write each of the equations listed in standard form by completing the square. Then, students write each of the...

Lesson Planet

#### System of Equations Review

In this system of equations activity, 11th graders solve and complete 23 various types of problems. First, they graph each system of inequalities shown. Then, students write a polynomial function of least degree with integral...

Lesson Planet

#### Equations for Curves Passing through a Given Set of Points

Learner use three random locations on the coordinate system and simplify the expression and assign result to the variable loc. They substitute guesses for the center and radius of the circle in the equation for the center of a circle and...

Lesson Planet

#### "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...

Lesson Planet

#### Conic Sections

In this Algebra II worksheet, 11th graders solve problems involving ellipses, parabolas, circles, and hyperbolas. The one page worksheet contains nineteen problems. Answers are included.

Lesson Planet

#### Volumes by Washers

Here's an AP Calculus resource that works an example problem of finding the volume where the cross sections of a solid are washer shaped. In the example the axis of rotation is vertical, creating horizontal washers.

Lesson Planet

#### Map Projections

Students view examples of various map projections using a website. Students record differences between the map projections. Students discuss uses for the various map projections and the differences between the maps they viewed. ...

Lesson Planet

#### Calculus Volume 2

Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....

Lesson Planet

#### Calculus Volume 3

See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...

Lesson Planet

#### Worksheet 7. Sir Isaac Newton

In this Newton worksheet, students obtain parametric equations, graph them on a graphing calculator, plot the trajectory of an object and sketch conic sections, This three-page worksheet contains 16 problems.

Lesson Planet

#### Polar and Cartesian Coordinates

Students review polar coordinates, as well as translations and rotations in Cartesian Coordinates. They also watch a video on conics and write a summary of the video for a quiz grade. Students then find an equation after a...

Lesson Planet

#### 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....

Lesson Planet

#### 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.

Lesson Planet

#### 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.

Lesson Planet

#### Math 53 - Review for Midterm 1

In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.

Lesson Planet

#### Conics Review

This presentation is meant to be used a a practice test for an end-of-the-year test of conics. The presentation is a test format, in that each slide requires the learner to come up with an answer. Answers are not provided.

Lesson Planet

#### Patty Paper Conics

Students solve problems dealing with conics. In this algebra lesson, students create conics and solve problems with conics using formulas. They solve for the area, and volume of different shapes.

Lesson Planet

#### Rational Functions and Conics

In this math worksheet, students practice the calculation of rational functions and conics. This worksheet has 6 problems for the students to solve.

Lesson Planet

#### Circles and Ellipses

In this circles and ellipses worksheet, students solve and complete 12 different types of problems. First, they find the distance between the given pair of points. Then, students find the center and radius of each circle and sketch. They...

Lesson Planet

#### Special Graph Paper

In this algebra worksheet, students explore the different graphs of conics such as ellipse, hyperbola and parabola. They use special graph paper to graph. There is an answer key with this problem.

Lesson Planet

#### Conics

In this precalculus worksheet, learners find the equations that correspond to the conics. They apply concepts of applied mathematics to 2 detailed problems.

Lesson Planet

#### Conic Characters

Students create a project that involves researching a myth or story from a region of the world. Then they create a drawing of characters from the text using at least five different conic sections which reviews the concept of geometry....

Lesson Planet

#### Final Spring Semester Review

In this advanced algebra semester review worksheet, students answer 63 questions spiraling a review of topics including combinations, systems of equations, absolute value, parent graphs, conics, complex numbers, and binomial theorem.

Lesson Planet

#### Conics and Graphing

In this algebra worksheet, students solve equations by graphing an ellipse, circle and hyperbola. They match equations to graphs and define each type of function. There are 20 questions total.

Lesson Planet

#### Math 222. Worksheet 8. Cartesian Coordinates

In this Cartesian coordinate instructional activity, students eliminate cross-product terms by a rotation of the axes, graph polar equations, and find the equation for a tangent line. This two-page instructional activity contains...

Lesson Planet

#### Faster speed-Shorter Time

Students calculate the inverse variation, and speed given the formulas. In this algebra lesson plan, students investigate properties of conics, focusing on the hyperbola. They identify the distance between the directrix and other parts...

Lesson Planet

#### Hyperbolas

Students solve equations with hyperbolas. In this algebra lesson, students graph hyperbolas and identify their properties. They find the foci and vertices of each hyperbola.

Lesson Planet

#### Worksheet 32: Kepler's Law

In this math worksheet, students are given 8 questions regarding Kepler's first law of motion. The questions include definitions, short essay explanations, and formulaic expressions.

Lesson Planet

#### 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...

Lesson Planet

#### TI-Nspire™ CAS

When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...

PD Learning Network

#### TI-Nspire™

We landed on the moon with less computing capabilities than you can find in this app! Here is a multiple function calculator that takes all the power you get from a handheld and adds the wonderful large screen that only a tablet can...

Lesson Planet

#### 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...

EngageNY

#### Polynomial, Rational, and Radical Relationships

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Lesson Planet

#### Definition of a Parabola

What information defines a parabola? Individuals learn to write the equation of a parabola given the focus and directrix. They attempt several problems of this type to help cement the concept.

Lesson Planet

#### Introduction to Conics

Just exactly where does the name conic come from? This brief hands-on exploration explains it all. Have your class cut cones to create their own conics, then assess their understanding with a few identification problems. Consider making...

Lesson Planet

#### Constructing a Parabola

Students construct parabolas using Islamic Mathematics. In this constructing parabolas using Islamic Mathematics lesson plan, students discuss parts of the parabola including vertex, focus, and directrix. Students construct a parabola...

Lesson Planet

#### Binomial Theorem (Part 3)

In this video on the Binomial Theorem, Sal tries to give an intuition behind why combinations are part of its definition. By looking at the expansion of (a + b)3 and carefully looking at where each value originates from, one can see how...

Lesson Planet

#### Compound Interest and e (Part 3)

Continuing with the lesson on compound interest, in this video, Sal derives the general formula for any amount of principle, interest rate, and compounding periods over one year.

Lesson Planet

#### Compound Interest and e (Part 2)

Sal continues to look at changing the length of compounding time, from daily to hourly compounding interest. Now he is able to show that compounding 100% annual interest converges on the number 2.71É or e as the number of compounding...

Lesson Planet

#### Hyperbolas: Sketching from the Equation

In this algebra worksheet, learners 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.

Lesson Planet

#### Exploring Parabolas

Students engage in a study of the parabola that is displayed on a graph to investigate the fall of a victim from a bridge to determine if it was a crime committed as foul play. They are given the opportunity to try example problems to...

Lesson Planet

#### Planet Paths: Studying Planetary Orbital Paths

Middle schoolers 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.

Lesson Planet

#### Parabola Focus and Directrix 1

Starting with a point (focus) and a line below the point (directrix), in this video, Sal tries to find the set of all points (locus) equidistant to the point and the line. He shows, using the distance formula, that indeed, we have an...

Lesson Planet

#### Problem Solving Parabolas

Students graph parabolas. In this problem solving parabolas lesson, students solve quadratic equations based as a scenario. Students discuss their graphs with their peers.

Lesson Planet

#### Ellipse

Students find the center, vertices, foci, and eccentricity of ellipses using the subscriptions website www.explorelearning.com. They graph elliptical functions and solve application problems involving ellipses.

Lesson Planet

#### Midpoint Formula

Students compute the midpoint between two points on a coordinate grid. They find the mean of two whole numbers and describe the meaning of the term "mean." Students move from two single numbers to computing the midpoint of two points on...

Lesson Planet

#### Circles

Students graph circles. In this graphing lesson plan students write equations for circles. Students solve equations for circles and graph the results.

Lesson Planet

#### Distance Formula

Students calculate the distance using the correct formula. In this geometry lesson, students apply concepts of the Pythagorean Theorem and right triangles to solve problems. They solve problems involving conics and their distance or...

Lesson Planet

#### Parabola (Lab Version)

Students develop definition for parabola, explain relationship between properties of the graph of a parabola and its equation, explain how the equation of a parabola can be written in different forms, and solve problems that relate the...

Lesson Planet

#### Parabola

Students develop a definition of parabola and explain the relationship between the properties of the graph of a parabola and its equation. They explain how the equation of a parabola can be written in different forms and solve problems...

Lesson Planet

#### 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.

Lesson Planet

#### Ellipses (Part 1)

Students work with Ellipses in Algebra II. For this algebra lesson, students solve an equation with a radical expression. They graph ellipses and write an equation for them.

Lesson Planet

#### Slopes and Slope Intercepts

Students 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...

Lesson Planet

#### Semiconductor and Quadratics

Young scholars investigate semiconductors as they relate to quadratics. In this algebra instructional activity, students apply the graphs of conics, especially parabolas to the real world as it relates to projectile path of a baseball...

Lesson Planet

#### Pascal's Theorem

In this Pascal's Theorem worksheet, students prove 1 theorem. Students use GeoGebra to construct lines given three points and prove Pascal's Theorem.

Lesson Planet

#### Kepler And His Laws

Young scholars 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.

Lesson Planet

#### Proving Ellipses and Hyperbolas

Students differentiate between conic equations. In this algebra lesson, students use properties of circles to differentiate between ellipses and hyperbolas. They calculate the distance from a point to the foci.

Lesson Planet

#### Ellipse

Pupils identify the relationship shared among conics. In this algebra lesson, students write the equation of a given ellipse and graph the equation. They define the different parts of the ellipse correctly.

Lesson Planet

#### Ellipse

Students explore the concept of ellipses including finding the center, vertices's, foci and eccentricity. They assess how to graph elliptical functions and solve application problems involving ellipses. This assignment is to be completed...

Lesson Planet

#### What Are You Implying?

Pupils graph explicit and implicit functions using a graphing calculator. After viewing a portion of the television program "Numbers", students complete activities related to graphing explicit and implicit functions. Worksheets are...

Lesson Planet

#### Circles

Students solve problems with circles using the Pythagorean theorem. In this geometry lesson plan, students identify the graph and equation of a circle. They sketch the shape of the circle using the given equation.

Lesson Planet

#### Parabolas and Quadratics

Students factor and solve quadratic functions. In this algebra lesson, students graph the parabola of a quadratic function. They identify the different properties of a parabola, including the vertex and intercepts.

Lesson Planet

#### Ellipses And Kepler's First Law

Students explain that planets actually orbit the center of gravity of the solar system, and that distant planets may be detected by motions of their central star around the centers of gravity of their planetary systems.

Lesson Planet

#### Exploring Geometric Constructions of Parabolas

Students are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...

Lesson Planet

#### Using Technology to enhance the Connections

Students identify the relationship between the algebraic equation:cos2 + sin2 = 1 and draw a right triangle with an central angle. They also find the "Area" and "Perimeter" use "Comment" and find the number's "Arrow" hit enter and then...