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Lesson Plan
Curated OER

Precalculus: Function Models for Real-Life Situations

For Teachers 10th - 12th
Young scholars use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
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Worksheet
Curated OER

Finding the Limit of Composite functions

For Students 9th - 10th
In this pre-calculus learning exercise, students calculate the composite of two functions as well as perform basic operations in order to determine the limit as x approaches a given number. There are 4 questions.
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Lesson Plan
Curated OER

Definition Of The Derivative

For Teachers 9th - 12th
Students engage in a lesson that is concerned with the concept of a derivative. They define the concept of a derivative and then complete an assignment that is included in the lesson. Students then graph the derivative and draw its...
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Lesson Plan
Curated OER

Graph Of The Derivative

For Teachers 11th - 12th
Students engage in a lesson that is concerned with defining and drawing the graph of a derivative. The lesson includes a definition and examples to lead them away from any misconceptions. They graph derivatives using examples that are...
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Lesson Plan
Curated OER

Rules For Differentiation

For Teachers 9th - 12th
Students investigate the concepts related to derivatives tat include the Power Rule and then apply the appropriate derivative formula to solve the different problems. They practice reading the rules of derivatives included in the lesson...
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Lesson Plan
Curated OER

Lesson #2 Absolute Value and Symmetry

For Teachers 11th - 12th
Learners investigate absolute value functions.  In this Algebra II/Pre-calculus/Calculus instructional activity, students explore the formal definition of absolute value and apply the piece-wise definition to solve inequality problems. ...
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Lesson Plan
Curated OER

Lesson #45 Graphs of Logarithmic and Exponential Functions

For Teachers 11th - 12th
Students investigate exponential and logarithmic functions.  In this Pre-calculus/Calculus instructional activity, students investigate the relationship between y = ln(x) and y = e^x.  Students graph the functions and show they are...
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Worksheet
Curated OER

Mathematical Modeling

For Students 11th - 12th
In this Pre-Calculus worksheet, students investigate the process of formulating, solving, and interpreting mathematical models.  The ten page worksheet contains explanation and four solved examples to serve as a guide for the modeling...
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Worksheet
Curated OER

Precalculus Test

For Students Higher Ed
In this college level Pre-Calculus instructional activity, students assess their knowledge and understanding of inverse trigonometric functions.  The two page instructional activity contains sixteen multiple choice and short answers...
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Worksheet
Curated OER

Max/Min Problems for Review

For Students 11th - 12th
In this Algebra II/Pre-Calculus activity, students determine the points of inflections for various functions and use the answers to complete a riddle.  The one page activity contains seven problems.  Answers are included. 
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Worksheet
Curated OER

Arithmetic Series, Geometric Series, Partial Sums of Geometric Series

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students solve problems that involve arithmetic series and infinite geometric.  Students determine the partial sums of a geometric series. The three page worksheet contains forty-six problems. ...
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Worksheet
Curated OER

Geometric Sequences or Progressions

For Students 11th - 12th
In this Algebra II/Pre-calculus worksheet, students examine terms to determine if it forms a geometric sequence and, if so, determine the common ration.  The one page worksheet contains thirty-six problems.  Answers are not provided. 
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Worksheet
Curated OER

Periodic Functions

For Students 11th - 12th
For this Pre-Calculus worksheet, students solve problems involving periodic functions.  The three page worksheet contains twenty-three problems.  Answers are not provided. 
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Worksheet
Curated OER

Math 155 Worksheet 8

For Students Higher Ed
In this college level Pre-Calculus activity, students determine the critical points of a function and determine the interval where the function is increasing and decreasing.  The two page activity contains four problems.  Answers are not...
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Worksheet
Curated OER

Homer/Scarecrow Worksheet

For Students 11th - Higher Ed
In this Pre-calculus learning exercise, students consider a scenes from The Wizard of Oz and The Simpsons refering to the Pythagorean Theorem. Students analyze the statement for errors and write about another mathematical formula that...
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Lesson Plan
Curated OER

Unit Circle Lesson Plan

For Teachers 11th - 12th
Students identify different locations on a unit circle. For this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
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Worksheet
Curated OER

Solar Flare Reconstruction

For Students 10th - Higher Ed
For this solar flare reconstruction worksheet, students read about the 'saturation' point of satellite detectors when solar flares are at their most intense phase of brightness. Students are given x-ray flare data and they re-plot the...
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Lesson Plan
Curated OER

Water Quality Data Analysis

For Teachers 11th - 12th
Students develop a process for analyzing collected bayou data. They find the mathematical relationships among various biological factors. Students, work collaboratively using technology in their data analysis.
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Lesson Plan
Curated OER

Understanding Fundamental Trigonometric Identities

For Teachers 9th - 12th
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
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Lesson Plan
Curated OER

Quadratic Equations with Complex Coefficients

For Teachers 11th - Higher Ed
Learners solve and graph quadratic equations. In this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
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Lesson Plan
West Contra Costa Unified School District

Interest and the Number e

For Teachers 10th - 12th Standards
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would happen as...
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Lesson Plan
West Contra Costa Unified School District

Law of Sines

For Teachers 10th - 12th Standards
One must obey the sine laws. A lesson introduces and derives the Law of Sines for non-right triangles. With examples that use the Law of Sines to determine unknown measures in triangles, the lesson checks to see if the Law of Sines also...
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Lesson Plan
West Contra Costa Unified School District

Polynomial Division

For Teachers 10th - 12th Standards
Multiply the ways your scholars can find the quotient with polynomial division. A lesson introduces polynomial division via long division, synthetic division, generic area model, and using the definition of division. Learners then...
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Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....

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