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Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
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Assessment
EngageNY

End-of-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
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Unit Plan
Virginia Tech

Unit Plan: Exponential and Logarithmic Functions

For Teachers 10th - 12th Standards
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
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Unit Plan
Mathematics Vision Project

Module 1: Functions and Their Inverses

For Students 10th - 12th Standards
Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...
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Unit Plan
Mathematics Vision Project

Module 2: Logarithmic Functions

For Students 9th - 12th Standards
Build a solid understanding of logarithmic functions and equations. Five lessons in the module begin by developing the concept of a logarithm. The next lessons address graphing logarithmic functions, logarithmic properties, and solving...
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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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Unit Plan
Mathematics Vision Project

Module 8: More Functions, More Features

For Teachers 8th - 10th Standards
A piece of this and a piece of that, add domain restrictions and create a piecewise function. Young scholars explore piecewise functions with and without context. Functions include both linear and quadratic parts. The module is the...
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Handout
University of Notre Dame

The Natural Exponential Function

For Students 11th - 12th Standards
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals. 
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Unit Plan
Mathematics Vision Project

Module 4: Rational Functions

For Students 9th - 12th Standards
Time to study the most sensible function — rational functions! The seven-lesson unit develops the concept of a rational function through a connection to rational numbers and fractions. Scholars graph functions, solve equations, and...
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Unit Plan
Mathematics Vision Project

Module 2: Logarithmic Functions

For Students 10th - 12th Standards
You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...
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Worksheet
Mt. San Antonio Collage

Exponential and Logarithmic Functions

For Students 9th - 12th Standards
High schoolers grow their skills exponentially after completing this thorough worksheet. Going from simple to difficult, it hits all the major skills regarding exponential and logarithmic functions including simplifying, solving,...
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PPT
BW Walch

Linear & Exponential Functions

For Teachers 9th - 11th Standards
Positioned inside the framework of linear and exponential functions, this lesson is more of an investigation into the effects of changing variables and constants inside an expression. The author takes familiar formulas, those for...
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Assessment
1
1
Illustrative Mathematics

Exponentials and Logarithms II

For Students 9th - 12th Standards
A simple question sometimes is the best for discussion. High schoolers compare a logarithmic and exponential function and composite them into one another. They graph and compare the difference between the domains. The solution contains...
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Lesson Plan
Curated OER

Worksheet 12: Functions

For Teachers 11th - Higher Ed
In this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
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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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AP Test Prep10:22
1
1
Flipped Math

Calculus AB/BC - Differentiating Inverse Functions

For Students 10th - 12th
Reverse any loss of knowledge on inverse functions. Individuals watch a video to learn about differentiating inverse functions. They memorize the rule, then see how to apply it in finding derivatives and determining equations of tangent...
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Lesson Plan
Curated OER

All Systems Go!

For Teachers 9th - 12th Standards
Secret codes are so much fun, and a great way to practice nearly any math skill. Let your class become code breakers as they investigate inverse matrices. They use TI-Nspire technology to solve systems of equations which help them crack...
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Assessment
Illustrative Mathematics

Temperature in Degrees Fahrenheit and Celsius

For Students 9th - 12th Standards
Scholars develop the conversion formulas between Fahrenheit and Celsius with a task that presents the class with two known temperature equivalents between the two scales. Pupils use those two points to develop the linear conversion...
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Assessment
Illustrative Mathematics

Latitude

For Students 9th - 12th Standards
The greater the latitude, the less of the Earth is north. Scholars graph the relationship between the latitude and the percentage of the Earth that is north of the latitude. Using the graph and the table, class members interpret values...
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Worksheet
Curated OER

Inverse Functions

For Students 9th
In this inverse functions worksheet, 9th graders solve and graph 10 different problems that include the inverse of various functions. First, they determine if the coordinates given is the inverse of a function given. Then, students use...
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Worksheet
Curated OER

Inverse Functions and Relations

For Students 11th
In this inverse functions and relations worksheet, 11th graders solve and complete 12 different problems. First, they find the inverse of each relation and determine whether the inverse is a function. Then, students find the inverse of...
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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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Worksheet
Curated OER

The Algebra and Geometry of Inverse Functions

For Students Higher Ed
In this inverse functions worksheet, students read a tutorial and complete fourteen fill in the blank style practice problems. Students read a tutorial about the composition of functions. They answer three fill in the blank questions...
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Lesson Plan
Curated OER

Very Varied - Inverse variation

For Teachers 8th - 11th
Students identify inverse variations. For this inverse variation lesson, students explore graphs and identify the inverse variation. They write equations for the inverse variation. Students compare and contrast the inverse variation...

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