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Pythagorean Theorem
Learners solve problems using the Pythagorean Theorem. In this geometry lesson, students identify the sides and angles of a right triangle. They find the different trigonometric ratios and solve using sine, cosine and tangent.
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Translations, Reflections, and Rotations
Tenth graders have been introduced to the concepts of translation, reflection, and rotation, and have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.
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Computer Graphing Calculator Explorations
High schoolers explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
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the Max And Min of a Capt'n Crunch Box
Students use knowledge of area and volume to explore minimum and maximum. They create models and determine a "best" shape for getting the maximum volume or minimum area.
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Velocity
Students explore the concepts of velocity, acceleration, distance and football. They collect data on the velocity of a football and they determine the distance and height of a football when it is thrown. Students compare their findings...
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Pizzas And Things
First graders problem solve using the concepts of doubling and halving numbers as previews for finding multiples and working with fractions. They determine how to find half of a set of objects and work with sums up to 16. They work with...
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Finding Areas of Plane Figures
Students compute areas of squares, rectangles, and so on and summarize the formulas for computing areas and explain how the formulas are derived and understand the reasoning behind them.
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Four Color Theorem
Students identify and interpret how the Free Response questions are graded on an AP Exam. They also discuss coloring the included map, placing several examples on the board to determine the number of colors necessary to color each....
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A Second View of Polar Coordinates
In this polar coordinates worksheets, students change ordered pairs from rectangular form to polar form. They plot and label points and identify alternative coordinate pairs for given points. There are approximately 20 problems on this...
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Supreme Court Confirmation Lesson Plan
Students consider the responsibilities of Senate Judiciary Committee members. In this judicial hearings lesson plan, students participate in a mock Supreme Court Confirmation and discuss the outcome.
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People of the Scientific Revolution
In this Scientific Revolution worksheet, learners read a brief overview of the contributions of Copernicus, Bacon, Kepler, Galileo, Newton, and Harvey.
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Fractals
Pupils explore the concept of fractals. In this fractal instructional activity, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Pupils develop these concepts through exploration and teacher...
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Creating a Mathematical Model Using Weather Data
Learners explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Learners are told they are working for a weather station. Students...
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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...
Alabama Learning Exchange
Ellipse
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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Using Objects to Object to Objectification
Students use math functions in part to complete a metaphorical lesson on tolerance. In this math and tolerance lesson, students receive rows of functions and try to find a single simple shared property without success. Students then...
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Making Movies
Students use interactive white boards to solve math problems. In this math problems lesson plan, students produce math casts where they can solve problems, write out descriptions, and communicate what they know and do not know on the...
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The Right Angle
For this algebra worksheet, students rewrite word problems using an algebraic equation to find the answer. There are 14 questions with an answer key.
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The Exact Differential
Students integrate functions using u substitution. In this integrating functions using u substitution lesson, students integrate functions by setting part of the function equal to u and the other part equal to du. Students integrate...
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Operations of Complex Numbers and Intro to DeMoivre's Theorem
Students solve problems with complex numbers. In this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Identities and Trigonometric Values
Students solve trigonometric equations. In this precalculus lesson plan, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
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Linear Equations and Matrices
Learners solve systems of equations. In this precalculus lesson plan,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.
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Combination and Permutations
Students decide when to use computation and permutation to solve problems. In this algebra lesson, students apply the correct method to solve complex set of events. They differentiate between dependent and independent events.
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