Curated OER
Lesson #94 Exact Area Under a Curve
Students research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
Curated OER
Climate and Periodic Functions: Science & Math Integration
Students complete a lab that introduce the scientific concept of climate on Earth. Following the lab, they complete further research on climate. Using average monthly temperatures students construct a mathematical model and analyze the...
Curated OER
Lab 2: Euler's Method and Riemann's Sums
In this Euler's Method and Riemann's Sum worksheet, students identify the best situation in which to use Euler's Method and Riemann's Sum. They identify the initial value of a problem and use the accumulation formula to determine the...
Curated OER
Worksheet 25
In this math learning exercise, students state the Fundamental Theorem of Calculus. Then they evaluate the functions and test them against the theorem.
Curated OER
Taylor Seies
In this calculus instructional activity, students find the Taylor series for each function adn give the interval where the series converges. The two page instructional activity contains nine questions. Answers are not included.
Curated OER
Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
Curated OER
Worksheet 17
In this math learning exercise, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
Curated OER
Infinite Series
In this math instructional activity, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
Curated OER
Worksheet 29 Spring 1999
In this math worksheet, students describe in terms of reflections what happens to a point when (r, θ) in polar coordinates changes. They also discuss the concept of symmetry.
Curated OER
Worksheet 28 - Spring 1996
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
Curated OER
Worksheet 10
In this math activity, students examine the concepts of upper division mathematics. They include linear operator, homogeneous, characteristic equation, fundamental solution set (solution basis), principle of superposition, Wronskian,...
Curated OER
Worksheet 29
In this math learning exercise, students investigate how time is related to the concept of increasing or decreasing velocity. Then they consider times and answer the questions of whether the velocity is changing.
Curated OER
Numerical Analysis/ Orders of Convergence of a Sequence
In this math worksheet, learners examine the concept of orders of convergence for a sequence. They practice finding the different rates of convergence.
Curated OER
Math 155 Worksheet 11
In this college level calculus worksheet, students use Riemann Sums to evaluate the given integrals and compare the answer to the limit. The two page worksheet contains four problems. Answers are not provided.
Curated OER
Infinity
High schoolers engage in a lesson that is concerned with the concept of infinity as defined in a series by geometry. The lesson integrates the use of philosophy to help them comprehend how infinity can possibly mean while investigating...
Curated OER
Population: Logistically Speaking
In this population worksheet, students read word problems relating to population growth. They write the problem as a differential equation, create models and graphs of the solution. This three-page worksheet contains 10 multi-step...
Curated OER
Worksheet 8
In this math worksheet, students explore how the use of implicit differentiation does not give the solutions to the differential equation. Then they write the definitions to the vocabulary related to differential equations.
Curated OER
Problem Sets `a la IMSA
In this math worksheet, students complete a series of mathematical investigations to determine readiness for the course of study they are enrolled in. This worksheet is problem set four in a set of worksheets for calculus.
Curated OER
A.P. Exam Calculator Review
Students review ways to use the calculator to graph a function, solve an equation, calculate a numerical derivative, and calculate a definite integral. They practice using their calculator to solve a set of sample exercises. Students...
EngageNY
What Is Area?
What if I can no longer justify area by counting squares? Lead a class discussion to find the area of a rectangular region with irrational side lengths. The class continues on with the idea of lower approximations and upper...
Curated OER
Giving and Taking Directions
Students write set of written directions from their craft area in either chart or paragraph form, and give the directions orally to a third party who will listen to the directions and complete the task.
Happy Maau Studios
Math Ref
Forgot how to multiply matrices? Well, this app can help. It is like a gigantic, well-organized reference card for all things math. Customize your personal reference material by adding your own notes and build up a personalized list of...
Statistics Education Web
It Creeps. It Crawls. Watch Out For The Blob!
How do you find the area of an irregular shape? Class members calculate the area of an irregular shape by finding the area of a random sampling of the shape. Individuals then utilize a confidence interval to improve accuracy and use a...
Curated OER
Mathematical Wackie Wordies
In this word instructional activity, 9th graders examine pictures and write a mathematical phrase to describe the picture. This one-page instructional activity contains 25 problems. Answers are provided.
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