Curated OER
Infinity
Learners determine the sum of an infinite geometric series. In this determining the sum of an infinite geometric series lesson, students discuss how the sum of an infinite geometric series is a paradox. Learners use the sum of an...
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.
West Contra Costa Unified School District
Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would happen as...
CK-12 Foundation
Infinite Limit Type: Asymptotes and End Behavior Question
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
Curated OER
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.
Curated OER
Lines, Rays, Line Segments, and Planes
Learners are introduced to lines, rays, line segments and planes. They explore the differences between lines, rays, line segments and planes. Students pracice graphing lines, rays, line segments and planes.
Curated OER
Complex Analysis: Limits of Complex Functions
In this complex function worksheet, students identify the limits of complex functions. This two-page worksheet contains examples and explanations, followed by two problems.
Curated OER
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...
Curated OER
Return Intervals & Reasoning from Tabular Data
Students calculate derivatives from a set of data. In this calculus lesson, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson.
Curated OER
Limits at Infinity and Horizontal Asymptotes
In this limits worksheet, students sketch the graph of a function. They complete three fill in the blank questions. Students solve fifteen limits problems. They use L'Hopital's Rule to solve four problems. Students find the vertical...
Curated OER
The Infinite Pine Tree
In this fractions activity, 6th graders solve and complete 7 different problems that include fractions. First, they identify and complete the denominator for the unit fractions in each of the squares shown on the sheet. Then, students...
EngageNY
End Behavior of Rational Functions
Connect end behavior to previous learning. Pupils connect finding the end behavior of rational functions to finding end behavior of polynomial functions. The 13th segment in a 23-part unit starts with finding the end behavior or power...
Flipped Math
End Behavior
Determine which way to go. Pupils learn how the leading term determines the end behavior of a polynomial function. They see how to use the end behavior of a polynomial to identify the graph of the function before practicing their skills...
Curated OER
Properties of Fractals
Learners 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...
Curated OER
Trig Functions
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
Curated OER
Introduction to Fractals: Geometric Fractals
Learners explore the concept of fractals. For this fractals lesson, students discuss Sierpinski's Triangle using an applet. Learners discuss the patterns involved with fractals. Students discuss the area of Sierpinski's triangle as the...
Curated OER
L'Hopital's Rule
Students solve limit problems. In this solving limit problems lesson, students use L'Hopital's Rule. Students apply L'Hopital's Rule to functions as long as the derivative of the top function and bottom function is zero. Students...
Curated OER
Worksheet 8
In this math instructional activity, learners consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
Curated OER
Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
Curated OER
Infinite Geometric Series
In this infinite geometric series worksheet, 11th graders solve and complete 33 various types of problems. First, they find the sum of the infinite geometric series for each of the given. Then, students find the range of values for each...
Curated OER
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...
Curated OER
Sequences and Series
For 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...
Curated OER
Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank activity, students explore the dimension of a vector space. They compare and explore the relationship in a matrix.
Mt. San Antonio Collage
Graphs of Rational Functions
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question.
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