Virginia Department of Education
Logarithmic Modeling
Explore logarithms and logarithmic regression. Young mathematicians first learn about inverse functions and about the logarithm function family. They take their newfound knowledge to use logarithmic functions to model situations and...
Curated OER
Temperature Conversions
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.
Curated OER
Operating on Matrices
Learners investigate matrices by exploring addition, subtraction and multiplication of matrices. Students find the determinant and inverse of a matrix. The lesson includes a set of practice problems
Curated OER
Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Learners repeat the process using different exponential functions using a slider.
Curated OER
Inverse Trigonometric Functions (Review)
Students discuss the importance of inverse functions and derivatives. In this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
Curated OER
Inverse Linear Functions
Students solve for the inverse functions. In this algebra lesson plan, students graph the inverse function and analyze it. They solve and manipulate equations using the calculator.
Alabama Learning Exchange
Logarithms: Undo the Exponential
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...
Illustrative Mathematics
The Parking Lot
Use the real-world cost of parking a car to demonstrate the properties of a function. The resource describes to learners how much it is to park in a certain lot. It is up to your number crunchers to complete a table of minutes and...
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Curated OER
Calculus Inverse Derivative
Students solve equations using a given derivative. In this calculus instructional activity, students identify the rise of fall of each function. They use the calculator to find the derivative.
Curated OER
Derivatives of the 6 Inverse Trig Functions
Student list the 6 trig functions and identify their inverse functions. In this trigonometry lesson, students derive the inverse trig functions using the derivative. They solve problems using the inverse functions through substitution.
Curated OER
Functions and Inverses
Students solve problems identifying the functions and inverses. In this algebra lesson, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
Curated OER
Exercise Set 5.4: Inverse Trigonometric Functions
In this trigonometric functions worksheet, students solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. Students graph inverse trigonometric functions.
Curated OER
Direct, Inverse and Joint Variation
Eleventh graders identify, create and solve word problems involving inverse variation. In this algebra lesson, 11th graders solve problems using direct, inverse and joint variation. They identify problems using these methods.
Curated OER
Composition of Functions
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
Curated OER
Composition of Functions
Students solve problems using the composition of functions. In this algebra instructional activity, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition,...
Curated OER
The UP's and Down's of Exponents
Pupils explore the concept of exponents. In this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
Curated OER
Inverse Trigonometric Functions (Review)
Students investigate the concepts related to inverse trigonometric functions and then review the graphs for the inverse. They apply the functions using the context of the example problems provided in the lesson. The lesson includes...
EngageNY
When Can We Reverse a Transformation? 2
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...
Curated OER
Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
Curated OER
Worksheet 31 - Doman & Range
In this function worksheet, students determine the domain and range of given functions. They use trigonometric ratios to determine if a statement is true or false. Students differentiate equations. In this one-page worksheet, students...
K20 LEARN
ADA Accessibility: Inverse Trigonometric Functions
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...
Curated OER
Functional Analysis
Students perform functional analysis. In this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
Curated OER
Graphs of Logarithmic and Exponential Functions
Young scholars watch as the teacher demonstrates that y=ln(x) and y=e^x are inverse functions. They graph these equations on the same axes. Students work other log functions. They learn a Reggae Song about the log of the quotient. Young...
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