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Lesson Plan
EngageNY

Representing, Naming, and Evaluating Functions (Part 1)

For Teachers 9th - 10th Standards
Begin the discussion of domain and range using something familiar. Before introducing numbers, the lesson uses words to explore the idea of input and outputs and addresses the concept of a function along with domain and range. 
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Lesson Plan
Alabama Learning Exchange

Binomial Expansion—Shortcut Please

For Teachers 9th - 12th Standards
There has got to be a better way; you just have to find it! Given a general binomial to expand with increasing powers, pupils realize that there must be a better way than multiple multiplications. Classmates look for patterns and use...
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Lesson Plan
Alabama Learning Exchange

Logarithms: Undo the Exponential

For Teachers 9th - 12th Standards
Rumor has it that an exponential can be undone. After playing a rumor game to model exponential growth, pupils learn about undoing exponential functions. They use the definition of the logarithm to convert exponential equations to...
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Lesson Plan
Alabama Learning Exchange

Building Functions: Reverse to Inverse

For Teachers 10th - 12th Standards
Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...
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Lesson Plan
Alabama Learning Exchange

Triangle Area: No Height? Use the Sine

For Students 9th - 12th Standards
No height? No problem! Learners use their knowledge and a little help from GeoGebra to develop the Law of Sines formula. The Law of Sines helps to determine the height of triangles to calculate the area.
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Lesson Plan
Alabama Learning Exchange

Building Functions: Inverse Functions from Tables and Graphs

For Students 9th - 12th Standards
Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.
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Lesson Plan
Alabama Learning Exchange

Unit Circle: Special Angles—Just Know One

For Students 9th - 12th Standards
It's all about the patterns! Young scholars learn that the unit circle repeats itself in all four quadrants. Using these patterns, they evaluate the sine, cosine, and tangent of special angles.
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Lesson Plan
Curated OER

Operations on Matrices

For Teachers 10th - 12th
A guided activity using the WolframAlpha computer program. The class explores the basic operations of adding, subtracting, multiplying and dividing matrices to solve problems.
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Lesson Plan
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Alabama Learning Exchange

Swim the Open Sea: Analyzing Duel Vectors

For Teachers 10th - 12th Standards
This dual vector lesson plan has the class watch a video about a person's swim of the English Channel. The class then uses a computer program to analyze dual vectors of wind's effect on a flight path of a plane as compared to the water...
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Lesson Plan
Curated OER

The Law of Sines and the Law of Cosines

For Teachers Higher Ed
In this college level trigonometry worksheet, students apply the Law of Sines and the Law of Cosines to solve triangles. The four page worksheet contains forty-four problems. Solutions are not provided. 
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Lesson Plan
Curated OER

Rainbows, Bridges & Weather, Oh My!

For Teachers 10th - 12th
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
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Lesson Plan
Curated OER

NUMB3RS Activity: Chains and Pyramids

For Teachers 6th - 12th Standards
Watch an episode of the TV show, NUMB3RS and then explore the mathematics of chain letters and pyramid schemes, both of which involve geometric progressions and exponential growth. They discuss why both are dangerous and illegal.
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Lesson Plan
Curated OER

Transformation of Graphs

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph.  The four page worksheet contains seventy-two problems.  Answers...
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Lesson Plan
Curated OER

Trigonometric Form of Complex Numbers

For Teachers 11th - 12th Standards
This lesson is written from the perspective of a student teacher. A step by step lesson in which the class works on the trigonometric form of complex numbers. They convert between trigonometric and complex forms. They will also practice...
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Lesson Plan
Curated OER

The Laws of Sines and Cosines Made Simple!

For Teachers 10th - 12th
Young scholars study the law of sine and cosine. In this pre-calculus activity, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.
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Lesson Plan
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Curated OER

Graphing at all Levels: It's a Beautiful Thing!

For Teachers 8th - 12th Standards
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
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Lesson Plan
Curated OER

Woody Sine

For Teachers 9th - 12th
Young scholars explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Young scholars create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle...
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Lesson Plan
Alabama Learning Exchange

Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Students explore the concept of sine and cosine.  In this sine and cosine instructional activity, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function...
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Lesson Plan
Curated OER

Exercise Set 1.4: Operations on Functions

For Teachers 9th - 12th
In this composition functions worksheet, students solve 54 short answer problems.  Students find the composition of functions such as f of g and f + g.  Students find the domain of various functions.
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Lesson Plan
Curated OER

Exercise Set 1.5: Inverse Functions

For Teachers 11th - Higher Ed
In this inverse functions worksheet, students review inverse functions. They solve 66 questions. Problems cover a wide variety of types. Students graph functions and their inverses, they identify one-to-one functions and the domains and...
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Lesson Plan
Curated OER

Linear and Quadratic Functions

For Teachers 11th
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
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Lesson Plan
Curated OER

Exercise Set 5.1: Trigonometric Functions of Real Numbers

For Teachers 10th - 12th
In this trig functions worksheet, students find the trig values of 46 problems.  Students find the trig values of various radian measures.  Students use trig properties to prove trig identities.
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Lesson Plan
Curated OER

Solve Right Triangle

For Teachers 9th - 11th
For this trigonometric applications worksheet, students solve for the missing side of a right triangle using a trigonometric ratio. There are 46 questions, 10 of which are word problems.
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Lesson Plan
Curated OER

Baseball Statistics

For Teachers 11th - 12th
Students take an in depth examine baseball record breakers. They calculate statistics, not just for one year, but over whole careers, to compare some famous players and find who was the best all-time home run hitter.

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