EngageNY
Analytic Proofs of Theorems Previously Proved by Synthetic Means
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....
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Quadratic Functions - Max and Min
Students identify the maxima and minima of quadratic functions. After a teacher explanation and demonstration of quadratic functions, students solve quadratic equations and graph the solution to find the maxima and minima of each...
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Lesson #150 Parabolas
Students investigate graphing. For this parabola lesson, students review finding the vertex, focus, and diretex of a parabola. An assignment is listed, but not included with the lesson.
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Kitchen Paraboloids
Students solve quadratic equations and identify functions. In this algebra lesson, students graph parabolas and identify properties describing the shape of the parabola. They find the vertex and rewrite the equation in standard form.
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Easy Worksheet: Area of Triangles
In this area of a triangle learning exercise, students solve 6 graphing problems. Students find the area of a triangle given the three coordinates of the vertices.
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Function Families
In this function families worksheet, students graph 6 families of absolute value equations on a graphing calculator and transfer a sketch to graph paper. Students then answer 8 questions to identify the vertex.
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Transformations
Students draw on graph paper. In this geometry lesson, students review types of triangles and quadrilaterals. Students investigate geometric transformations, including translation, rotation and reflection. Students practice each...
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Let the Matrix Do It
Young scholars create a matrix of the vertices of a triangle and produce new matrices that dilate, translate, rotate, and reflect the original triangle. After multiplying each matrix by a new scale factor, they graph the new matrix and...
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Maximum and Minimum Values
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form. Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions. The one...
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Quadratic Modeling Of Canada's Baby Boom
Students model quadratic equations. In this algebra lesson, students are given data to graph using a function. They investigate vertex and transformation of quadratic functions.
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Slope Right Up
Learners use triangles to find the length and slope of each side. After connecting the vertices, they add points based on their specific instructions. They use the Pythagorean Theorem to complete a worksheet to end the lesson.
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Transformations Using Matrices
In this transformations learning exercise, 10th graders solve and complete 16 different types of problems. First, they graph the image of the figure using the transformation given. Then, students find the coordinates of the vertices of...
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The Function Elevator
Pupils solve and graph functions. In this precalculus lesson, students use piecewise function to relate real life scenarios. They analyze the graphs and identify the vertex and intercepts.
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Quadratic Equations and Functions
Young scholars factor and solve quadratic equations. In this algebra lesson, students identify the domain and range of the quadratic function. They graph the parabola and identify the vertex.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson plan, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Hyperbolas
In this algebra worksheet, learners identify the graphs of hyperbolas. They find the center and directrix. There are 10 questions.
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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.
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Studying Special Segments in Triangles
Students investigate special segments in triangles. In this geometry lesson plan, students graph, compare, estimate and predict findings based on their data. They differentiate between similarity and congruence of triangles.
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Polynomials Degree and Finite Differences
For this algebra worksheet, students identify polynomials and state the degree and rewrite it in standard form. There are 32 questions ranging from polynomials to graphing a quadratic.
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ABC's Transformer
Fourth graders design their own letter graph, and then produce the resulting graphs after a translation, reflection, and rotation. After a review of vocabulary, 4th graders create their graphs using crayons.
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Geometric Transformations
Learners solve problems involving transformations of geometric figures. They review graphing points in the coordinate plain, plot points and connect to create a triangle. Then, they reflect triangles over the x and y axis and use...
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Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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Absolute Value
Students solve equations with absolute value bars. In this precalculus lesson, students graph and identify the vertex and translation of absolute value functions. They match equations with given graphs.
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Position and Piecewise Velocity
Students solve piecewise functions. In this precalculus lesson, students model real life scenarios using velocity and piecewise. They create velocity graphs and find the beginning and end position of an object.