Mathematics Vision Project
Module 1: Functions and Their Inverses
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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Properties of Logarithms
In this algebra worksheet, 11th graders apply the 3 properties of logarithms to solve equations by expanding or condensing them. There are 4 problems to solve.
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Logarithmic Transformations of Data
Students investigate and study logarithmic equations. In this precalculus lesson, students analyze the data behind the function. They define each graph as positive, negative or no correlation. They find the line of best fit.
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Lesson #51 Derivatives of Logarithms
Twelfth graders investigate derivatives of logarithms. In this calculus lesson, 12th graders explore the procedure for taking the derivative of logarithms to any base.
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Lesson #55 Test on Logarithms and Exponentials
Twelfth graders assess their knowledge of logarithmic and exponential functions. In this calculus lesson, 12th graders demonstrate their knowledge of all concepts of logarithmic and exponential functions. Students apply the...
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Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
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Transforming Univariate Data
Learners analyze plotted data in this statistics lesson. They differentiate between skewed and normal data. They also explore and interconnect exponential growth and decay as it relates to the data.
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Dead Body Math
Learners solve the mystery of dead Mr. Potato Head using physics and algebra. They discuss Newton's Law of cooling as it applies to the mystery scenario involving a cooling baked potato as the "victim". They manipulate algebraic...
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Properties of Logarithms
Eleventh graders investigate logarithms. In this Algebra II lesson, 11th graders explore the properties of logarithms that are used to simplify expression and solve equations. Students confirm their conjectures regarding the...
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
K20 LEARN
Family Ties: Exploring Families OF Functions
They say it runs in the family. Small groups use a card sorting activity to group graphs of functions into families. After grouping by families, the class develops conclusions for parent functions and create a graphic organizer.
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Pre-calculus Unit 3 Test 2
Students will solve exponential function problems, graph exponential functions, find the value of logarithms, determine future value, and compound interest. In this Pre-calculus lesson, students will use the properties of logs to solve...
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Lesson #45 Graphs of Logarithmic and Exponential Functions
Students investigate exponential and logarithmic functions. In this Pre-calculus/Calculus lesson, students investigate the relationship between y = ln(x) and y = e^x. Students graph the functions and show they are inverses of...
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Getting the Lead Out
The article for this lesson no longer accessible through the links in the lesson plan, but can be found in the National Center for Biotechnology Information website. After reading it, environmental science students answer questions and...
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Linear and Exponential Models
Students linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable instructional activity, students graph the residuals of sets of data that appear to have...
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Oodles of Poodles
Students solve equations by graphing. In this algebra lesson, students differentiate between functions and relations. They use the TI to graph their equation and analyze the graph.
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Transformations and Exponential Functions
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function...
Radford University
A Change in the Weather
Explore the power of mathematics through this two-week statistics unit. Pupils learn about several climate-related issues and complete surveys that communicate their perceptions. They graph both univariate and bivariate data and use...
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Topsy-Turvy Math With Rational Numbers
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
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Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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How Much Data is That?
Students differentiate between exponential and logarithmic functions. In this algebra instructional activity, students use logarithmic properties to solve equations. They identify growth and decay of graphs.
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Negative Exponents
Students solve negative exponential functions. In this algebra lesson, students define the properties for rewriting functions with negative and zero exponents. They use a robot to create a visual of what is happening to the negative...
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Discovering Math Concepts in Advanced Algebra
Students explore the concept of Chinese contributions in mathematics. In this Chinese contributions in mathematics activity, students research Chinese achievements in mathematics. Students solve 3x3 systems of equations using the...
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Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on...