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
Operating on Matrices
Learners investigate matrices by exploring addition, subtraction and multiplication of matrices. Students find the determinant and inverse of a matrix. The activity includes a set of practice problems
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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. Students repeat the process using different exponential functions using a slider.
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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.
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Inverse Linear Functions
Students solve for the inverse functions. In this algebra lesson, students graph the inverse function and analyze it. They solve and manipulate equations using the calculator.
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 lesson, students identify the rise of fall of each function. They use the calculator to find the derivative.
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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.
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Functions and Inverses
Students solve problems identifying the functions and inverses. In this algebra instructional activity, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
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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.
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Composition of Functions
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
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...
Intel
Choreographing Math
Leaners investigate families of linear functions through dance. They choreograph dance moves to model nine unique linear functions of their choosing. Using their dance moves, teams create a video presentation complete with music and...
Curated OER
Functional Analysis
Learners 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.
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Test on Limits and Continuity
Students review concepts of logarithms for their test. In this calculus instructional activity, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse...
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Power Function Inverses
Pupils graph polynomial functions and analyze the graphs. They identify the inverse of the functions and find the domain and range. Learners will then label the functions as one to one and use the horizontal and vertical line test to...
Achieve
Spread of Disease
Viruses can spread like wildfire, and mathematics can model the speed of infection. Given a function, scholars analyze it to describe the spread of a disease within a stadium. Learners find the initial number infected and the maximum...
Curated OER
Integration Involving Inverse Trig Functions
Students review the steps for integration and solve equations using integration by parts. In this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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Lesson #45 Graphs of Logarithmic and Exponential Functions
Learners investigate exponential and logarithmic functions. In this Pre-calculus/Calculus lesson, students investigate the relationship between y = ln(x) and y = e^x. Learners graph the functions and show they are inverses of each other.
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Triangles Inscribed in a Circle
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...
Curated OER
Opening Our Minds
Students discover the function of the brain. For this biology lesson, students participate in several experiments to demonstrate what part of the brain controls their movements. An example of an experiment is drawing with their dominant...
Curated OER
Test on Chapter 4
Twelfth graders review concepts of logarithms for their test. In this calculus lesson, 12th graders review inverse function, limits, deratives and solving logs equations. They review the chain rule and domain and range of inverse logs.
Curated OER
Review for Test
Twelfth graders review logs and derivatives in preparation for their test. In this calculus lesson, 12th graders review inverse functions, log functions, derivatives of implicity and the three definitions of e. They prove derivatives...
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