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Exploring the FTC using the TI
Young scholars use the Fundamental Theorem of Calculus to solve problems. In this calculus lesson, students use the TI to solve the graphing porting of the problem. They practice graphing functions and discuss their place in the real world.
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Lesson #139 A.P. Exam Review
Students study for the A.P. Calculus exam. In this integrals lesson students complete a worksheet titled, "Stupid Integrals Sheet (a link to the answer key is included).
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Integration Unit: Riemann Sum
Students investigate Riemann Sums. For this calculus lesson, students solve problems involving Riemann sums and Right Riemann Sums.
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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.
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Worksheet 1
In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...
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Review For Test On Chapter 8
Learners engage in a study that is intended to be a review for a calculus exam. They practice using a review study sheet to go over some of the major concepts. The review includes using parabolas, length of arc, and volume of solids of...
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Natural Logarithm
Young mathematicians solve problems of logs and natural logs. They graph functions of natural logs on the TI and relate integrals to natural logarithms.
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Quartic Regions
Young scholars explore quartic functions in this calculus lesson. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
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Lesson #94 Exact Area Under a Curve
Pupils 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.
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Climate and Periodic Functions: Science & Math Integration
High schoolers 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...
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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...
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An Introdcution to Derive
Twelfth graders explore Derive. In this Calculus lesson plan, 12th graders investigate the menus and tools available in Derive. In addition to the familiarization part of the lesson plan, students investigate Pascal’s Triangle,...
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Infinity
Students engage in a lesson plan that is concerned with the concept of infinity as defined in a series by geometry. The lesson plan integrates the use of philosophy to help them comprehend how infinity can possibly mean while...
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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...
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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.
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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...
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...
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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...
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Giving and Taking Directions
Learners 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.
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Graphs and Data
Students investigate poverty using graphs. In this algebra lesson plan, students collect data on the effects of poverty and use different rules to analyze the data. They graph and use the trapezoid rule to interpret the data.
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Unit Circle Lesson Plan
Students identify different locations on a unit circle. For this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember...
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Finding the Area Under A Curve with Random Probability
Young scholars explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Young scholars calculate the area under...
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Less is More: Realizing Mathematics Through Agriculture
Students study the architectural designs of different popular sites. In this math instructional activity, students draw a grid diagram. They explain what geodesic algorithms are used for.
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Attributes of Renewable Energy: From Nanopossibilities to Solar Power
Students explore solar energy, why we use it and how we use it. In this renewable energy instructional activity students compare active and solar techniques.