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Mathematics in Robotics

For Teachers 10th - 12th
Students build and create using math. In this geometry lesson, students differentiate between congruent and similarity as they observe polygons. They create robots with different functions using properties of geometry.
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Lesson Plan
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Simple Harmonic Motion

For Teachers 10th - 12th
Students solve problems involving graphs. In this calculus lesson, students relate harmonic motion to velocity. They discuss the derivative and the effect on the functions created.
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Worksheet
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A.P. Calculus Test Covering Limits, Derivatives, and Integrals

For Students 12th - Higher Ed
For this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals.  Students should have covered trig limits prior to this worksheet.
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Worksheet
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MT-A141 Precalculus

For Students 11th - Higher Ed
For this precalculus worksheet, students use the trigonometric function of cosine in order to find the solutions to the four detailed problems.
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Worksheet
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MT-A141 PreCalculus: Worksheet 6.4

For Students 10th - 11th
In this precalculus instructional activity, students predict the graph of given functions and draw conclusions about each one. Students define a transformation, and determine the amplitude, period, phase shift and vertical shift of...
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Worksheet
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Integration Strategies

For Students 11th - Higher Ed
In this integration learning exercise, students determine the best technique of integration to use. They evaluate given integrals. This one page learning exercise contains nine multi-step problems.
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Lesson Plan
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Sin, Cos and Tangent

For Teachers 9th - 10th
Students find the identity o sine, cosine and tangent. In this precalculus lesson, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
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Worksheet
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Evaluate Integrals

For Students 12th - Higher Ed
In this evaluate integrals worksheet, students solve and complete 12 different problems. First, they use the trigonometric identity given to rewrite the integral as follows. Then, students substitute when necessary and use integral...
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Worksheet
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Limit Estimation

For Students 9th - 12th
In this pre-calculus worksheet, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
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Worksheet
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Sine Cosine Game

For Students 11th - 12th
In this algebra learning exercise, students are given a word problem they must solve by rewriting the words in to algebraic symbols. They investigate Sine and Cosine using word problems. There are 18 questions with an answer key.
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Lesson Plan
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The Trig to Soccer

For Teachers 9th - 10th
Students analyze angles applied to a penalty kick in a soccer game. Based on dimensions of the goal, and the penalty area, students determine where the better chance of scoring lies.
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Lesson Plan
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The Apple Orchard Problem

For Teachers 11th - 12th
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
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Lesson Plan
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Clinometer

For Teachers 7th
Seventh graders build their own Clinometer and using the tangent of angles, estimate the height of trees. Then these students develop and instructional activity to show whole class and determine the tallest tree on school property.
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Worksheet
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Trigonometry

For Students 10th
In this geometry worksheet, 10th graders solve problems that are based on the right triangle trigonometry and the special right triangles. The three page worksheet contains twelve questions.  Answers are not included. 
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Lesson Plan
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You Can't Go Wrong with a Right Triangle 2

For Teachers 3rd - 5th
Upper graders use the properties of right angle trignonmetry to measure objects such as the school flagpole. They solve real world problems using these properties.
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Lesson Plan
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Reflections

For Teachers 9th - 12th Standards
Learners explore reflection of polygons on a coordinate plane. They examine the relationships that exist between corresponding points and sides. 
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Lesson Plan
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Creating a Mathematical Model Using Weather Data

For Teachers 8th - 11th
Students explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...
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Lesson Plan
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Calculus: Graphical, Numerical, Algebraic

For Teachers 10th - 12th
Pupils explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
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Worksheet
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Precalculus Test 3 (4.4-4.5)

For Students 10th - 12th
In this precalculus test, students select the best answer from 8 multiple choice problems. They solve 4 short answer problems and graph one cycle of each of four equations.
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Worksheet
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Tangent

For Students 10th
In this tangent worksheet, 10th graders solve 10 different problems that include various tangent lines. They find the value of x using the tangent of each given angle of various triangles illustrated. Then, students identify and define...
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Worksheet
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Cosine

For Students 10th
In this cosine learning exercise, 10th graders solve 10 different problems that include various measures of angles. They determine the value of x in each problem using the cosine of the given angle. Then, students substitute the answer...
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Derivative Formulas

For Students 10th - 12th
In this derivative formulas instructional activity, students solve derivative problems. They use derivative formulas to solve problems. This one page instructional activity contains twenty-eight multi-step problems.
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Worksheet
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Silly Sammie Seal

For Students 9th - 11th
In this seal worksheet, students match deratives and intervals to their answer.  They match equivalent problems.  This one-page worksheet contains 22 problems.
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Worksheet
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Derivative Exam

For Students 10th - 12th
In this derivatives worksheet, students find the first derivative of 30 equations. Formulas begin with f(x)=-5 and progress in difficulty through the exam.