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Worksheet
Curated OER

Substitution Method

For Students 11th - 12th
For this calculus worksheet, students solve the function using the derivatives. They use properties of derivative and trigonometry to help them find the trig values. There are 28 problems.
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Worksheet
Curated OER

Taylor and Maclaurin Series

For Students 11th - 12th
In this Taylor and Maclaurin series activity, learners answer 10 questions about Taylor and Maclaurin series.  Students find the Taylor and Maclaurin series for trigonometric, exponential, and inverse functions at a given value.
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Worksheet
Curated OER

AP Calculus Practice Exam

For Students 11th - 12th
For this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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Lesson Plan
Curated OER

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
Curated OER

Equations, Formulas and Identities

For Teachers 8th - 10th
Students rewrite word problems using the correct symbols. In this algebra lesson, students find the trigonometric identities and use them to solve problems. They write equations for the trigonometric ratios.
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Lesson Plan
Curated OER

The Exact Differential

For Teachers 11th - 12th
Learners 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.  Learners integrate...
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Lesson Plan
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Curated OER

The Unit Circle

For Teachers 9th - 11th Standards
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
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Lesson Plan
Curated OER

An Introdcution to Derive

For Teachers 12th
Twelfth graders explore Derive.  In this Calculus lesson, 12th graders investigate the menus and tools available in Derive.  In addition to the familiarization part of the lesson, students investigate Pascal’s Triangle, graphing in...
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Lesson Plan
Curated OER

Geometric Sequences

For Teachers 7th - 10th
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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Worksheet
Curated OER

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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Lesson Plan
Curated OER

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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Lesson Plan
Curated OER

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
Curated OER

Getting Triggy With It

For Teachers 9th - 12th Standards
The concept of sine and cosine is explored in this lesson where students graph sine and cosine graphs using a transformation application on the graphing calculator.  Students change the coefficients for the amplitude, period, frequency,...
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Lesson Plan
Curated OER

Extrema on an Interval

For Teachers 9th - Higher Ed
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus activity, students solve optimization problems and find rates of change.
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Worksheet
Curated OER

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
Curated OER

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
Curated OER

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
Curated OER

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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Lesson Plan
Curated OER

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
Curated OER

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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Lesson Plan
Curated OER

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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Worksheet
Curated OER

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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Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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Lesson Plan
Curated OER

NIGHT AND DAY: DAILY CYCLES IN SOLAR RADIATION

For Teachers 9th - 12th
Students examine how Earth's rotation causes daily cycles in solar energy using a microset of satellite data to investigate the Earth's daily radiation budget and locating map locations using latitude and longitude coordinates.