CK-12 Foundation
Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function
Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 3)
Limit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 2)
What does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...
CK-12 Foundation
Infinite Limit Type: Properties of Limits
Limits can provide some valuable information about graphs. A slider interactive lets learners see the behavior of a graph around asymptotes. They investigate relationships between limits and asymptotes.
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 4)
Take a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...
Chemistry Collective
Virtual Lab: Textbook Style Limiting Reagents Problems
Time to test the limits! Young scientists make limiting reagent calculations and test their math using a virtual lab simulation. Using their knowledge of ionic compounds, they determine the limiting reagents and the excess compounds.
Chemistry Collective
Virtual Lab: Textbook Style Limiting Reagents Problem II
Textbook problems with a twist! Young chemists analyze an ionic reaction to identify the limiting reagent. They then make calculations to determine the concentration of unknown solutions. Finally, they put their work to the test and...
CK-12 Foundation
Basic Trigonometric Limits: Evaluating Limits of tan(x)
Chase a periodic moving limit. Learners graphically determine the limit of the tangent function at different input values. Using sliders, pupils find out whether the tangent function approaches the same value from the left and the right....
CK-12 Foundation
One-Sided Limit Type: Limit Notation and Graphs
A one-sided limit is no less important than a two-sided limit. Young mathematicians use an interactive to match limit notation to graphs. The exercise requires interpreting how one-sided limits connect to features of graphs.
CK-12 Foundation
Limit of a Sequence: Finding the Limit of a Sequence (Part 1)
Put a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...
CK-12 Foundation
Evaluate Limits Using Graphs and Tables: Where Is That Limit?
Limits are made easy through graphs and tables. An easy-to-use interactive lets users change a function on a coordinate plane. They relate graphs and tables to the limit at a specific value.
CK-12 Foundation
One-Sided Limit Type: One-Sided Limits
Not everything that's one-sided is bad. A slider interactive aids learners in investigating one-sided limits from graphs. A set of challenge questions assesses their understanding of the relationship between one- and two-sided limits.
CK-12 Foundation
Infinite Limit Type: Evaluating Limits of Rational Functions
Rational functions become less mysterious when you know about limits. Individuals use an interactive to move a rational function on a coordinate plane and to investigate function values for certain x-values. They see how the limit...
CK-12 Foundation
Evaluate Limits Using Graphs and Tables: Evaluate the Limits
Discontinuities in the graph? No worries. Pupils investigate the limit of a function given graphically using an interactive. The graph has removable and jump discontinuities.
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...
CK-12 Foundation
Concept of Limit
There's no limit to how useful the resource can be. Scholars use a slider interactive to investigate limits from graphs. They take both one-sided and two-sided limits into consideration.
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
Limiting Factors to Population Growth: Graphing Population Growth
If any of the limiting factors in an environment change, both animal and plant populations also change. The video explains two different models of growth and the impact of limiting factors. It highlights the carrying capacity of an...
Scholastic
Study Jams! Population Growth
Along came a spider, who sat down beside her. She screamed, but RJ wouldn't smash it because spiders are a limiting factor for other insects in an ecosystem. In this video, other common limiting factors for populations are listed....
American Museum of Natural History
What's This? Life at the Limits
There are some amazing ways species evolve to survive. From large ears to sneezing salt, learners read about these interesting adaptations in an interactive lesson. Great to supplement an in-class lesson, it also works well as a remote...
Chemistry Collective
Virtual Lab: Unknown Concentration of DNA Solution Problem
Highlight DNA solution with fluorescent dyes! Scholars use dye to determine the concentration of a DNA solution. As the dyes bind with the DNA solution, learners make conclusions about the limiting reactants.
PhET
Reactants, Products and Leftovers
Did you know when you mix the reactants sulfur, tungsten, and silver, you get the products SWAg? The simulation begins with making sandwiches, to show pupils reactants and products of something familiar. They then can make water,...
Curated OER
The Limit Definition of a Definite Integral
For this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
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