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
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.
Curated OER
Kepler and his Laws
High schoolers 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
Map Projections
Pupils view examples of various map projections using a website. Students record differences between the map projections. Pupils discuss uses for the various map projections and the differences between the maps they viewed. Students...
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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....
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
Slopes and Slope Intercepts
Young scholars 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...
Curated OER
Worksheet 32: Kepler's Law
For 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.
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...
Curated OER
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.
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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.
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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
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
Kepler And His Laws
High schoolers 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
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...
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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.
Curated OER
Love in the Time of Cholera
Young scholars examine causes and treatment options for cholera. In this biology lesson, students model the osmotic basis of cholera using dialysis tubes. Young scholars propose treatments for hypothetical patient.
Curated OER
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.
Curated OER
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...
Curated OER
Parabola
Young scholars 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...
Curated OER
Exploring Geometric Constructions of Parabolas
Pupils 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...
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