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...
Flipped Math
Calculus AB/BC End of Unit 1 Review: Limits and Continuity
Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...
Flipped Math
Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes
Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...
Flipped Math
Calculus AB/BC - Infinite Limits and Vertical Asymptotes
Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...
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...
CK-12 Foundation
Concept of Limit: Limit Notation
Limits to infinity are simple to find if you can compare numerators and denominators. Users of the interactive drag expressions to match with their limit as x approaches infinity. A set of challenge questions assesses their groupings.
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
The Infinite Pine Tree
In this fractions worksheet, 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...
Curated OER
Parts of a Line
In this parts of line activity, students solve and complete 12 various types of problems. First, they find the length of the indicated line segments. Then, students determine the lengths of the line segments listed.
Curated OER
Interval Notation
In this interval notation worksheet, students solve inequalities, sketch a graph of the answer, and write the answer using interval notation. This one-page worksheet contains 8 problems, with answers.
Curated OER
Evaluating Limits
In this evaluating limits learning exercise, students solve and complete 14 different types of problem. First, they determine the highest power of x in the function. Then, students divide both the numerator and the denominator by that...
Curated OER
Evaluating Limits
In this evaluating limits worksheet, students solve and complete 20 different types of problems. First, they determine the highest power of x in the function. Then, students divide both the numerator and the denominator by that power. In...
Curated OER
Infinite Geometric Series
In this infinite geometric series learning exercise, 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...
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
Intuitive Approach to Limits
Students identify and comprehend the concept of limit in mathematics. They also view artistic works illustrating limits by M. C. Escher and apply techniques of one-sided limits to graphs of relations. Finally, students compute limits...
Curated OER
Introduction to Fractals: Geometric Fractals
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
Curated OER
To Infinity: A Numbers Game
Students explore number values by participating in a class game. In this number sense lesson, students utilize dice, cards, and chess pieces to move their piece closer to the end of a number line, the point of infinity. Students answer...
Curated OER
Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank lesson, students explore the dimension of a vector space. They compare and explore the relationship in a matrix.
Curated OER
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...
Curated OER
Matter and Motion
In this matter and motion worksheet, students solve 4 different problems that relate to determining the matter and motion of a function problem. First, they find the limit of a as n to infinity and then, determine whether each series...
Curated OER
Infinity and Cardinality
For 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.
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
Introduction to Fractals: Infinity, Self-Similarity and Recursion
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
Curated OER
Lines, Rays, Line Segments, and Planes
Students 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.