Curated OER
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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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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The Substitution Rule
In this college level Calculus worksheet, students use the Substitution Rule to evaluate the given integrals. The one page worksheet contains nineteen problems. Answers are not provided.
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Differential Equations
In this differential equations worksheet, learners solve and complete 3 sets of various problems. First, they solve each of the differential equations. Then, students use the given information to evaluate the constant of integration....
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Discussion Sheet 6
In this math worksheet, students discuss the use of triple integrals and explore the volumes. Then they determine the volume of the donut.
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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.
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Calculating Arc Lengths of Simple Functions-I
In this calculating arc lengths worksheet, students are given 4 simple functions and they use the Pythagorean Theorem and the basic techniques of calculus to find the arc-length formula in order to find the arc-length.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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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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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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Numerical Analysis: Dimensional Vectors
For this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
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Multivariable Calculus: Implicit Differentiation
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
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...
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Riemann Sums
In this calculus worksheet, students solve prolbem in which they estimate double integrals by using Riemann sums. The three page worksheet contains four questions. Answers are not included.
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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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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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Solar Flare Reconstruction
For this solar flare reconstruction worksheet, students read about the 'saturation' point of satellite detectors when solar flares are at their most intense phase of brightness. Students are given x-ray flare data and they re-plot the...
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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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Algebraic Substitution for Electric Circuits
In this physics activity, students use Ohm's law to solve for voltage, current and resistance. They answer 13 problem solving questions using Ohm's law.
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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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Stokes' Theorem (and some review!)
In this calculus activity, students answer 4 short answer questions each about Green's Theorem and Stokes' Theorem. Questions require students to rephrase each theorem and tell when they may be used. Students solve questions using...
Texas Instruments
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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Phasor Mathematics
In this mathematics worksheet, students solve 13 questions on series, factorial, phase mathematics and calculus. They define what phasor means.