Lesson Plan
Curated OER

#### Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
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.
Lesson Plan
National Security Agency

#### Multiple Representations of Limits

For Students 11th - 12th Standards
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.
Lesson Plan
Curated OER

#### Worksheet 5: Property Limits and the Squeeze Theorem

For Teachers 12th - Higher Ed
In this math worksheet, students answer 6 questions regarding given limits in a table of data, properties of limits and the Squeeze Theorem.
Worksheet
Curated OER

#### Explorations 5: Introduction to Limits

For Students 10th - 12th
In this limit activity, students find the interval values of given functions. They identify constants, and plot graphs. This three-page activity contains approximately 20 problems.
Lesson Plan
Curated OER

#### Worksheet 10 - Limits

For Teachers Higher Ed
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
Interactive
CK-12 Foundation

#### Limits of Polynomial and Rational Functions: Evaluating the Limits of the Quadratic Function

For Students 10th - Higher Ed
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.
Interactive
CK-12 Foundation

#### Limit of a Sequence: Finding the Limit of a Sequence (Part 3)

For Students 11th - Higher Ed
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...
Interactive
CK-12 Foundation

#### Limit of a Sequence: Finding the Limit of a Sequence (Part 2)

For Students 11th - Higher Ed
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...
Interactive
CK-12 Foundation

#### Infinite Limit Type: Properties of Limits

For Students 11th - Higher Ed Standards
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.
Interactive
CK-12 Foundation

#### Limit of a Sequence: Finding the Limit of a Sequence (Part 4)

For Students 11th - Higher Ed
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,...
Lesson Plan
Curated OER

#### Limiting Factors for Populations

For Teachers 7th - 10th
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...
Worksheet
Curated OER

#### Open Sets, Limits, Continuity

For Students Higher Ed
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.
Interactive
Chemistry Collective

#### Virtual Lab: Textbook Style Limiting Reagents Problems

For Students 9th - Higher Ed
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.
Interactive
Chemistry Collective

#### Virtual Lab: Textbook Style Limiting Reagents Problem II

For Students 9th - Higher Ed
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...
Interactive
CK-12 Foundation

#### Basic Trigonometric Limits: Evaluating Limits of tan(x)

For Students 11th - Higher Ed
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....
Lesson Plan
Curated OER

#### Worksheet 4: Limits

For Teachers Higher Ed
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.
Lesson Plan
Curated OER

#### Introduction to Limits

For Teachers 9th - 12th
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...
Lesson Plan
Curated OER

#### Worksheet 35 - Limits

For Teachers Higher Ed
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.
Lesson Plan
Curated OER

#### Worksheet - Limits

For Teachers Higher Ed
In 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.
PPT
Curated OER

#### Limiting Reactant

For Teachers 9th - 12th
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...
Worksheet
Curated OER

#### Limiting Reactant Problems

For Students 10th - Higher Ed
In this chemical reaction worksheet, students determine the limiting reactant in the equations given plus determine the amount of moles of product produced. This worksheet has 6 problems to solve.
Worksheet
Curated OER

#### Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet 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.
Lesson Plan
iCivics

#### Limiting Government

For Teachers 6th - 12th Standards
While this lesson 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 study...
Interactive
CK-12 Foundation

#### One-Sided Limit Type: Limit Notation and Graphs

For Students 11th - Higher Ed
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.