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Lesson Plan
EngageNY

Modeling with Inverse Trigonometric Functions 2

For Teachers 11th - 12th Standards
Use inverse trigonometric functions to work with ramps, rabbits, and Talladega. The class models real-world situations with trigonometric functions and solves them using inverses in the 15th installment of a 16-part series. Pupils solve...
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Lesson Plan
1
1
West Contra Costa Unified School District

Introduction to Inverse Functions

For Students 9th - 12th Standards
Ready to share the beauty of the inverse function with your classes? This algebra II lesson guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made between the three,...
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Lesson Plan
Howard County Schools

Drawing Inverses

For Teachers 9th - 12th Standards
An Algebra II lesson draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, students graph the logarithmic function. The plan comes with a launch,...
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Lesson Plan
EngageNY

Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
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Worksheet
Iredell - Statesville Schools

Direct and Inverse Variation Worksheet

For Students 8th - 11th Standards
Provide learners with a worksheet that provides problems that focuses on direct and inverse variations, proportional relationships, graphing, and word problems. The goal is to find the outcome and decide what type of variation the...
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Lesson Plan
EngageNY

Modeling with Inverse Trigonometric Functions 1

For Teachers 11th - 12th Standards
Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the lesson by interpreting their answers within context.
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Lesson Plan
EngageNY

Inverses of Logarithmic and Exponential Functions

For Teachers 11th - 12th Standards
Revisit the relationship between logarithms and exponentials. Learners review the notion of logarithms as the way to solve exponential equations in the 21st segment in a Pre-calculus series of 23. Pupils use the knowledge to prove that...
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Lesson Plan
EngageNY

Complex Number Division 1

For Teachers 11th - 12th Standards
Conjugating in the math classroom — and we're not talking verbs! The seventh lesson in a series of 32 introduces the class to the building blocks of complex number division. During the instruction, the class learns to find the...
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Performance
Radford University

I Want to Rock!

For Teachers 9th - 12th
Find the best deal on music. Small groups create playlists of music and determine the cost based on different pricing structures. They determine whether the pricing structure represents a direct or inverse variation relationship by...
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Lesson Plan
Curated OER

Your Father

For Teachers 9th - 12th Standards
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
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Lesson Plan
1
1
Curated OER

Latitude

For Teachers 9th - 12th Standards
Your young geologists generate a graph given a table of values from the context of latitude and percent of the earth's surface north of that latitude. The questions in the activity then focus the learners to a deeper understanding of the...
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Lesson Plan
EngageNY

When Can We Reverse a Transformation? 2

For Teachers 11th - 12th Standards
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses, then...
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Lesson Plan
EngageNY

When Can We Reverse a Transformation? 1

For Teachers 11th - 12th Standards
Wait, let's start over — teach your class how to return to the beginning. The first instructional activity looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with...
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Lesson Plan
EngageNY

Restricting the Domain

For Teachers 11th - 12th Standards
But what if the function cannot be inverted? Pupils continue to work with inverses of functions using tables, graphs, and algebraic equations. They restrict the domain of non-invertible functions to make them invertible. Using...
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Activity4:07
PBS

Scale City — Inverse Proportions and Shadows in the Real World

For Teachers 6th - 7th Standards
Bring the resource out from the shadows. Viewers of a short video learn about drive-in theaters and how operators project images onto a large screen. They then perform an experiment to determine the relationship between the distance of...
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Lesson Plan
K20 LEARN

ADA Accessibility: Inverse Trigonometric Functions

For Teachers 11th - 12th Standards
Ramp up using trigonometric ratios. After receiving a request to check school ramps to verify they meet ADA requirements, groups calculate the angle of the incline on ramps on campus. They report their findings via a letter to the...
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Lesson Plan
Curated OER

US Households

For Teachers 9th - 12th Standards
Learners construct and use inverse functions to model a real-world context. They use the inverse function to interpolate a data point.
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Lesson Plan
1
1
Curated OER

Temperature Conversions

For Teachers 9th - 12th Standards
Your young weather buffs use compositions and inverses of functions to convert between Celsius, Fahrenheit, and Kelvin degrees. Then they analyze possible compositions and whether they exist in the real-life context.
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Lesson Plan
Virginia Department of Education

Types of Variations

For Teachers 10th - 12th
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...
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Lesson Plan
EngageNY

Complex Number Division 2

For Teachers 11th - 12th Standards
Individuals learn to divide and conquer complex numbers with a little help from moduli and conjugates. In the second instructional activity on complex number division, the class takes a closer look at the numerator and denominator of the...
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Lesson Plan
EngageNY

When Can We Reverse a Transformation? 3

For Teachers 11th - 12th Standards
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third instructional activity on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous...
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Lesson Plan
Illustrative Mathematics

Accuracy of Carbon 14 Dating II

For Teachers 9th - 12th Standards
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and ranges of...
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Lesson Plan
1
1
EngageNY

Revisiting the Graphs of the Trigonometric Functions

For Teachers 11th - 12th Standards
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
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Lesson Plan
West Contra Costa Unified School District

Indefinite Integrals

For Teachers 11th - Higher Ed Standards
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...

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