Limits Teacher Resources
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Students work in small groups with a small set of 8 nuts and 5 bolts to assemble into combinations of 1 nut: 1 bolt, and 2 nuts: 1 bolt. They explore the outcome and discuss. Then a student mixes two clear, colorless solutions together and get "thick" yellow stuff.
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.
In this multivariable function worksheet, students compute the limits of given functions and determine if a limit exists. This two page worksheet contains three problems.
In this limiting behavior of equations activity, learners use the Klien and Nishima formula to find the limit for large X which is the ratio of energy carried by a photon compared to the rest mass energy of an electron.
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.
In this limit worksheet, students use algebra to compute limits. They find the slope of the secant line and find a formula giving the slope of the secant line. This one-page worksheet contains six multi-step problems, with answers.
In this limit of slopes worksheet, students compute the limit of slopes, find the slope of the secant line, and determine the slope of the tangent line. This one-page worksheet contains five multi-step problems.
In this limits worksheet, students compute the answers to thirteen limits problems. They answer one short answer question. Students follow listed steps to simplify two limits problems. Students answer three short answer questions about a function (finding asymptotes, critical points, and extrema). They graph one function using the graphing calculator.
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page worksheet contains explanations, examples, and approximately ten problems.
In this "Human Body: Pushing the Limits-Sensation" worksheet, students watch the movie and respond to 25 fill in the blank and short answer questions regarding information from the documentary.
In this limits worksheet, students solve 6 short answer problems. Students find the limits of functions, points of discontinuity, and the derivatives of functions.
In this limit activity, students work in teams to answer four problems exploring the concept of limits. This activity relates limits related to fuel economy.
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 this exercise to the photosynthesis reaction. The presentation offers a brief introduction, but you will definitely want to follow it with other examples of limiting reactants within their reactions.
In this calculus worksheet, students evaluate functions and solve problems using the derivative. They apply the rules of limits to solve functions where the limit of x approaches zero. There are 12 problems to solve.
In this calculus worksheet, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.
In this population growth worksheet, students will brainstorm examples of limiting factors in an ecosystem. Then students will write down what effect that factor has on population growth. This worksheet is a graphic organizer.
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.
In this calculus worksheet, learners apply the properties of limits as they solve 40 functions with x approaching 1.
In this geometry worksheet, students define limits, inscribed angles, circumscribed angles and other important vocabulary words. They calculate the area of polygons. There are 5 questions.
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.