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Lesson Plan
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EngageNY

Systems of Equations

For Students 10th - 12th Standards
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. 
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Lesson Plan
EngageNY

Are All Parabolas Similar?

For Students 10th - 12th Standards
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.
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Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
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...
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Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
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....
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Instructional Video3:17
CK-12 Foundation

Graphing Circles: Lesson

For Students 9th - 11th Standards
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...
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eBook
Rice University

Calculus Volume 3

For Students 11th - Higher Ed
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...
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eBook
Rice University

Algebra and Trigonometry

For Students 10th - Higher Ed Standards
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...
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Lesson Plan
Curated OER

Chronic Conics

For Teachers 4th
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.
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Lesson Plan
Curated OER

Kepler and his Laws

For Teachers 9th - 12th
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.
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Worksheet
Curated OER

Math 53 - Review for Midterm 1

For Students Higher Ed
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.
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Worksheet
Curated OER

Circles and Ellipses

For Students 11th - Higher Ed
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...
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Worksheet
Curated OER

Special Graph Paper

For Students 9th - 11th
In this algebra instructional activity, 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.
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Lesson Plan
Curated OER

Equations for Curves Passing through a Given Set of Points

For Teachers 9th - 12th Standards
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...
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Worksheet
Curated OER

Algebra 2 Test

For Students 10th - 11th
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.
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Worksheet
Curated OER

Conics

For Students Pre-K - Higher Ed
In this precalculus worksheet, students find the equations that correspond to the conics. They apply concepts of applied mathematics to 2 detailed problems.
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Lesson Plan
Alabama Learning Exchange

Ellipse

For Teachers 9th - 12th Standards
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.
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Lesson Plan
Curated OER

Confocal Conics

For Teachers 11th - 12th
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...
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Worksheet
Curated OER

Conics and Graphing

For Students 11th - 12th
In this algebra activity, learners 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.
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Worksheet
Curated OER

Rational Functions and Conics

For Students 11th - Higher Ed
For this math worksheet, students practice the calculation of rational functions and conics. This worksheet has 6 problems for the students to solve.
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Lesson Plan
Curated OER

Faster speed-Shorter Time

For Teachers 9th - 11th
Students calculate the inverse variation, and speed given the formulas. In this algebra lesson, students investigate properties of conics, focusing on the hyperbola. They identify the distance between the directrix and other parts...
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Lesson Plan
Curated OER

Map Projections

For Teachers K - 12th
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. ...
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Lesson Plan
Curated OER

Polar and Cartesian Coordinates

For Teachers 11th - 12th
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...
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Lesson Plan
Curated OER

Translation and Rotation of Axes

For Teachers 11th - 12th
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....
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Lesson Plan
Curated OER

Worksheet 32: Kepler's Law

For Teachers 11th - 12th
In this math worksheet, learners are given 8 questions regarding Kepler's first law of motion. The questions include definitions, short essay explanations, and formulaic expressions.

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