Curated OER
Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus lesson, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
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The Corner Problem
Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
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Effects of Parameter Changes
Pupils define properties of a quadratic equation. In this algebra instructional activity, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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Algebra Exam
In this algebra worksheet, 11th graders graph, parabolas, absolute value and cubic functions. They factor polynomials and simplify roots. There are 75 questions.
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Quadratics: vertex form
Students practice graphing quadratic equations to find the vertex of quadratic functions. They determine if the graph opens upward or downward as well as convert quadratic equations to vertex form from polynomial form. A lab version is...
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Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
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Quadratics: Vertex Form
Students practice graphing quadratic equations. They work to solve and equation involving finding the vertex using given formulas. Once their points have been graphed, students determine the direction in which the angle opens. Worksheets...
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Complex Numbers
Students examine complex numbers. In this Algebra II lesson, students investigate two programs that involve complex numbers: the MANDELER Program and SYNDIV program.
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"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...
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Conjectures and Conclusions
Learners draw conclusions and make conjectures given a specific scenario. In this geometry lesson plan, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.
Pennsylvania Department of Education
Extending Pattern Understandings
Learners use shapes and manipulatives to demonstrate patterns. In this patterns lesson plan, students also break up patterns to identify a pattern unit.
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Volumes of Rectangular Prisms
High schoolers determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths. Finally, they factor the volume equation to determine the side lengths.
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Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
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Geometric Sequences
Students relate pattern and sequences to music. In this geometry lesson, students identify different scales using chromatic scales. They compare the different waves to sine waves and other trigonometric waves.
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Algebra I: A Draining Swimming Pool
Students analyze and develop symbolic representations to describe the amount of water left in a pool being pumped out after a given amount of time, with various pumping rates and initial quantities of water in the pool.