Illustrative Mathematics
Accuracy of Carbon 14 Dating II
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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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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Integration Involving Inverse Trig Functions
Students review the steps for integration and solve equations using integration by parts. For this calculus lesson, students apply their knowledge of integration to inverse trig function. Students review their trig and inverse trig...
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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...
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Derivatives Of The 6 Inverse Trig Functions
Students investigate the derivatives of the Six Inverse Trigonometric Functions. They apply the six formulas to inverse function problems that are given in the lesson plan. Students can take part in using the example problems for...
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Using inverse Operations to Solve Equations
Fifth graders solve equations. In this algebraic equations lesson plan, 5th graders use the inverse operation to solve an equation. The teacher reminds students to perform the operation on both sides of the equation. This lesson plan...
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Worksheet 11 - Fall 95
In this calculus worksheet, students solve differentiable functions, determine the inverse of a function and identify the derivative. This one-page worksheet contains seven multi-step problems.
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Worksheet 13-Fall 1995
In this math worksheet, students find the domain and range of trigonometric functions. They estimate the limit of a given function. Students identify three statements about one to one functions as true or false. They solve for k in two...
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Worksheet 16-Fall 1995
In this math worksheet, students compute the quotient of two differential amounts. They compute the trigonometric functions of a given variable. Students compute the derivatives of three functions.
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Lesson #45 Graphs of Logarithmic and Exponential Functions
Learners investigate exponential and logarithmic functions. In this Pre-calculus/Calculus instructional activity, students investigate the relationship between y = ln(x) and y = e^x. Learners graph the functions and show they are...
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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...
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Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Gene Action and Mutation
Students review terms related to DNA structure and function. They complete a variety of worksheets in small groups or in pairs reflecting the unit's concepts regarding DNA. They submit their worksheets for grading.
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Direct and Inverse Variation
Eighth graders participate in two data collection activities that involve direct and inverse variation. In the pre-assessment, 8th graders categorize numerical, graphical, and verbal representations as linear or nonlinear and determine...
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Graphing Trigonometric Functions
The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.
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Sloping and Intersecting a Linear Function
Students examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
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Graphs of Logarithmic and Exponential Functions
Students 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. Students...
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ART PROJECT
Eighth graders, after researching the properties of graphs of conic sections, absolute value and inverse relations, make a drawing of precise functions and relations from a specified list of equations. The final design should analyze the...
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Opening Our Minds
Young scholars discover the function of the brain. In 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...
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Getting Out of Line
Students explore basic connections between graphs, tables, and symbolic representations for lines, parabolas, inverse models, and exponential models. One of the primary goals of this lesson is to help students begin to recognize patterns...
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Test on Limits and Continuity
Young scholars review concepts of logarithms for their test. For this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.
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One-Step Equations—Multiplication and Division
Discover one more step to being able to solve any one-step equation. Scholars continue their work with one-step equations in the 28th installment of a 36-part module. Tape diagrams and algebraic processes introduce how to solve one-step...
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Be Direct - Oil Spills on Land
Students participate in an activity to simulate direct variation. In this oil spills on land lesson, students participate in a simulation using toilet paper and vegetable oil to explore the characteristics of direct variation. They...
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Solving Systems Using Matrices
Explore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...