Curated OER
Beat the Heat: Meander Through These Books
A hazy, daisy, lazy summer reading list for math (and interdisciplinary) learning.
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Students Analyze Data With Scatter Plots
Scatter plot lessons can help students create different types of graphs by hand or with the aid of technology.
Radford University
Sleep and Teen Obesity: Is there a Correlation?
Does the number of calories you eat affect the total time you sleep? Young mathematicians tackle this question by collecting their own data and making comparisons between others in the class through building scatter plots and regression...
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A Model Solar System
If Earth is modeled by a grapefruit, what planet could be represented by a golf ball? This activity uses everyday and not-so-everyday objects to create a model of the Solar System.
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L'Hopital's Rule
Students discover and perfect methods of calculation based on rewriting, simplifying, and logarithmic L'Hopital when the traditional applications fail to produce a result.
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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Properties of Fractals
Pupils build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial and...
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Numbers Beyond Reason!
Fourth graders use the story of the discovery of irrational numbers to explore the different classes of numbers, the different ways in which numbers may be represented, and how to classify different numbers into their particular class.
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The UP's and Down's of Exponents
Learners 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.
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Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
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Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
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Calculus
Students make an inquiry with the aid of technology into the concept of functions. The emphasis of the lesson is on the interplay between the geometric and analytic information.
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Precalculus: Function Models for Real-Life Situations
Students use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
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Are You a Radical or Just a Square Root?
Fourth graders discover that the inverse of squaring is finding a square root. and that square roots are found in many formulas used in many disciplines. They utilize a worksheet imbedded in this plan that gives them quite a bit of...
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Algebra II: Exponential Functions
High schoolers investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
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Are You a Golden Ratio?
Learners explore the concept of the golden ratio in nature and architectural design. They discuss examples such as petals on a sunflower and the Parthenon. In small groups they take turns measuring their body parts to find a golden ratio.
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How popular is your favorite site?
Students gather data for the project for the entire year. They plot their data, try to fit a equation to their data, and speculate on why the data shows the pattern it does and project its future growth.
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Scientific Notation III: Linear vs Exponential
Learners after investigating examples of exponential growth students have an intuitive feel for the concept of exponential growth of a system.
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Derivatives of Exponential Functions
Students listen as the teacher develops the derivative formula for if y=e^x, They find dy/dx by showing two proofs. Students determine the derivative of y=e^tan3x, and if y=e^2x they determine the hundredth derivative. Students listen as...
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Differential Equations and Population Growth
Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
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Mixed Expressions and Complex Fractions
Students are introduced to mixed expressions and complex fractions. They work through several problems with the instructor and then complete a worksheet.
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Scientific Notation III: Linear vs Exponential
Students examine the differences in exponential growth and linear growth of a system. They interpret data on graphs and develop their own charts. They answer discussion questions as well.
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Using Innovative Approaches To Explore Functions
Use student-directed resource sheets, multiple approaches, and group work instead of drill and kill.