CK-12 Foundation
The Real Numbers: Size of Infinite Sets
The learning opportunities with the resource on infinity are finite, but it's still good to use. Individuals investigate the size of the set of integers and the set of even integers. Conclusion: the two sets have the same size.
Curated OER
To Infinity: A Numbers Game
Students explore number values by participating in a class game. In this number sense lesson plan, students utilize dice, cards, and chess pieces to move their piece closer to the end of a number line, the point of infinity. Students...
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Infinity and Cardinality
In this infinity worksheet, students determine a one-to-one correspondence between two finite sets. They discuss the relationship between the cardinalities. This one-page worksheet contains two problems.
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What is zero? What is infinity? Where they come from? (Senior, Mathematics)
Students discuss and determine what is zero, what is infinity, and where do these numbers come from?
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My Test Book: Rational and Irrational Numbers
In this online interactive math skills activity, students solve 10 multiple choice math problems regarding rational and irrational numbers. Students may submit their answers to be scored.
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Properties of Real Numbers
In this Algebra II worksheet, students classify numbers by naming the subset or subsets of the real numbers to which it belongs. The two page worksheet provides explanation and examples in addition to ten practice problems. Solutions are...
Chapman University
Exact Values Poster
Go to infinity and beyond and see what a repeating decimal actually looks like as it goes on and on and on and on. The poster uses rational numbers, imperfect squares, and the always popular π.
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Typical Conceptual Questions for Physics I - Light and Quantum
This is a stellar overview of everything light and quantum! There are 30 multiple choice questions, none of them requiring any mathematical computation. There are a few diagrams to analyze: light rays striking reflective and refractive...
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The Mandelbrot Set
Students are introduced to the notion of a complex number and function iteration in order to motivate the discussion of Julia sets and the Mandelbrot set.
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The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot set...
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Sequences and Series
In this sequences and series worksheet, 10th graders solve and complete 13 different problems that include infinite geometric series. First, they find the sum of each infinite geometric series. Then, students find the first three terms...
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Matching Objects and Patterns
First graders participate in hands-on activities and use objects to create patterns. They observe a PowerPoint lesson describing matching objects and patterns. In groups, 1st graders complete geometry computer activities such as planting...
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Properties of Fractals
Students 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...
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3c and 5c Stamps
Students explore multiples of consecutive numbers. Given a real life situation, students devise and use problem solving strategies. Students describe what it means for a sequence to carry on to infinity. They locate patterns in...
Oregon Department of Education
Building Number Sense
It's never too early to begin a child's math education. This collection of fun hands-on activities engage youngsters in building their number sense as they learn how to count objects, identify numerals, compare amounts, and much more.
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year period....
Curated OER
A Summer Reading List for Math Teachers
Teachers can read through these math-related books for pure enjoyment.
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Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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Introduction to Infinite Sequences
For this infinite sequences worksheet, students discover the convergence and divergent behavior of infinite sequences. This worksheet references L'Hopital's rule.
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Technology vs. Nontechnology
Fourth graders determine the range, mean, median and mode using a computer spreadsheet. An identical set of calculations is done without using a computer. The results of each method are compared. They calculate the mode, median and range...
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Twelve Facts About e
For this e worksheet, students are presented with several facts about e and Euler. Students are also given a technique to help them remember the numerical approximation for e.
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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...
Curated OER
The Mandelbrot Set
Students explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.