Curated OER
Is There a Limit to Which Side You Can Take?
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
National Security Agency
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
Curated OER
Worksheet 5: Property Limits and the Squeeze Theorem
In this math worksheet, students answer 6 questions regarding given limits in a table of data, properties of limits and the Squeeze Theorem.
Curated OER
Explorations 5: Introduction to Limits
In this limit instructional activity, students find the interval values of given functions. They identify constants, and plot graphs. This three-page instructional activity contains approximately 20 problems.
Curated OER
Worksheet 10 - Limits
For this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
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,...
Curated OER
Limiting Factors for Populations
The "Bottled Bacteria" activity instructions are a bit unclear, but the remaining activities investigating limiting factors in ecosystems are well-written. Learners model the exosystem of a bear and a herd of deer. They set up a...
Curated OER
Open Sets, Limits, Continuity
In this open sets worksheet, students give characteristics of an open set under given conditions. They graph functions and define limits. This two-page worksheet contains 3 multi-step problems with explanations.
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....
Curated OER
Worksheet 4: Limits
In this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.
Curated OER
Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
Curated OER
Worksheet 35 - Limits
In this limit worksheet, students compute the limits of given equations. They rewrite limits in indeterminant form. This one-page worksheet contains approximately 18 equations.
Curated OER
Worksheet - Limits
For this limit worksheet, students give examples of described sequences and find the limits. They compute numbers in the Fibonacci sequence. This one-page worksheet contains six multi-step problems.
Curated OER
Limiting Reactant
Chemistry classes learn the importance of a limiting reactant by first considering a cake recipe. Given the recipe and the total amount available for each ingredient, they must calculate how many cakes can be made. Finally, they apply...
Curated OER
Limiting Reactant Problems
In this chemical reaction activity, students determine the limiting reactant in the equations given plus determine the amount of moles of product produced. This activity has 6 problems to solve.
Curated OER
Finding the Limit: Piecewise Functions and Graphs
This pre-calculus learning exercise is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
iCivics
Limiting Government
While this lesson plan includes several nice worksheets to identify and discuss the various limits on government (i.e. a constitution, the rule of law, separation of powers, consent of the governed, etc.), its main value lies in a case...
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.
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