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Lesson Plan
Curated OER

Differentiation of Inverse Functions

For Teachers 11th - Higher Ed
Students explore the concept of differentiating inverse functions. In this differentiating inverse functions lesson, students find the first derivative of the inverse of sine function in a lecture style lesson.
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Lesson Plan
Curated OER

An Introduction to Functions

For Teachers 9th - 11th
Learners investigate the growth and decay of an exponential function. In this algebra instructional activity, students apply properties of exponent solve problems. They identify any patterns they see in the graphs.
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Lesson Plan
Curated OER

Graphing Exponential And Logarithmic Functions

For Teachers 10th - 12th
In this logarithmic function worksheet, young scholars solve and graph logarithmic and exponential functions. Variables are included in the exponential and logarithmic functions. There are 18 problems to solve on this two-page worksheet....
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Lesson Plan
Curated OER

Finding Function Values

For Teachers 9th - 10th
For this function worksheet, students find the value of functions by a given domain. There are six functions on this one-page worksheet.
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Lesson Plan
Curated OER

Extra Practice 48: Graphing Exponential and Logarithmic Functions

For Teachers 10th - 12th
For this graphing worksheet, students graph exponential and logarithmic functions. A coordinate plane is provided for each problem. Eighteen problems are on this two-page worksheet.
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Lesson Plan
Curated OER

Linear Functions

For Teachers 8th - 10th
Students solve and graph linear equations. In this algebra instructional activity, students collect data and plot it to create a linear function. They identify the domain and range of each line.
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Lesson Plan
Illustrative Mathematics

Riding by the Library

For Teachers 7th - 9th Standards
Draw a graph that shows the qualitative features of a function that has been described verbally. Make sure learners understand where time is zero and the distance is zero. It may take them some time to understand this concept, so working...
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Lesson Plan
Illustrative Mathematics

Tides

For Teachers 7th - 9th Standards
A very simple example of a functional relationship between depth of water and time is shown here. In fact, it might be more useful to use a coastal tide book to better illustrate this real-world experience. Pupils are to count the number...
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Lesson Plan
Curated OER

Triangles Inscribed in a Circle

For Teachers 9th - 12th Standards
Are you tired of answers without understanding? Learners can give a correct response, but do they really understand the concept? Have young mathematicians think deeper about linear functions, angles, and formulas in algebra. Learners are...
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Lesson Plan
Teachers Network

A World of Symmetry: Math-Geometry

For Teachers 4th - 6th
Define and identify the three basic forms of symmetry translation, rotation, and glides with your class. They cut out and arrange paper pattern blocks to illustrate symmetry, create a Cartesian graph, and design a rug with a symmetrical...
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Lesson Plan
Curated OER

Four Steps to Find Inverse Functions

For Teachers 8th - 11th
In this inverse functions reference worksheet, students are presented with the four sets used to find an inverse function given a function equations.
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Lesson Plan
Curated OER

Euler Encore 1

For Teachers 11th - 12th
In this math worksheet, learners use Euler's Method to solve differential equations. They are given an equation to graph (y'). Students sketch that equation as well as the related equation (y). They find the area of given rectangles and...
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Lesson Plan
EngageNY

Analyzing a Graph

For Teachers 9th - 10th Standards
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 
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Lesson Plan
EngageNY

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance formula...
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Lesson Plan
EngageNY

Modeling with Polynomials—An Introduction (part 2)

For Students 10th - 12th Standards
Linear, quadratic, and now cubic functions can model real-life patterns. High schoolers create cubic regression equations to model different scenarios. They then use the regression equations to make predictions.
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Lesson Plan
EngageNY

Bean Counting

For Teachers 10th - 12th Standards
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
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Lesson Plan
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EngageNY

The Remainder Theorem

For Students 10th - 12th Standards
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
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Lesson Plan
Curated OER

Bouncing Ball

For Teachers 9th - 12th Standards
Students collect height versus time data of a bouncing ball using the CBR 2™ data collection device. Using a quadratic equation they graph scatter plots, graph and interpret a quadratic function, apply the vertex form of a quadratic...
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Lesson Plan
EngageNY

Irrational Exponents—What are 2^√2 and 2^π?

For Teachers 9th - 12th Standards
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
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Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 1)

For Students 10th - 12th Standards
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
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Lesson Plan
EngageNY

Modeling Riverbeds with Polynomials (part 2)

For Students 10th - 12th Standards
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
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Lesson Plan
EngageNY

Special Triangles and the Unit Circle

For Teachers 11th - 12th Standards
Calculate exact trigonometric values using the angles of special right triangles. Beginning with a review of the unit circle and trigonometric functions, class members use their knowledge of special right triangles to find the value of...
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Lesson Plan
EngageNY

Integer Exponents

For Teachers 9th - 12th Standards
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
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Lesson Plan
EngageNY

Awkward! Who Chose the Number 360, Anyway?

For Students 10th - 12th Standards
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...

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