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Spheres and Cones
Class members learn how to apply formulas for spheres and cones with a video that begins with a review of the formulas for surface area and volume of spheres and cones. Pupils use these formulas to solve problems on a worksheet.
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Roller Coaster Robot
Students calculate the area under a curve. In this calculus instructional activity, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
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Worksheet 34 - Fall 1995
For this math worksheet, students sketch the finite area whose boundary is composed of pieces of the curves x =1− y 4 and x = y2 − 1.
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Errors in Riemann Sums
For this Riemann Sums worksheet, students use the Riemann Sums method to approximate the area under the curves. This two-page worksheet contains three problems.
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Functions
In this functions worksheet, 10th graders solve and complete 6 different types of problems. First, they find the largest value of a given function. Then, students determine the values of the constants a, b, c, dso that the curve is a...
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Pushing Pivots
Young scholars calculate the area and diameter length of a circle. In this geometry lesson, students investigate the use of pivots as they review parts of a circle. They create a circle using cardboard and label all the parts.
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Worksheet 35 - Fall 1995
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.
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Area Between Two Curves
Twelfth graders identify and find the area between two curves. In this calculus lesson, 12th graders decide what the best way is to find the shaded area between two curves using examples from previous lessons. They relate areas between...
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The Bell Curve
Students are introduced to the normal distribution and examine the bell curve controversy.
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Normal Curve Areas
In this normal curve areas worksheet, learners follow 6 steps to compute probability regarding possible sample means using a large sample. First, they label the scale with the mean and corresponding standard deviations. Then, students...
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Little Red Corvette
Students investigate the acceleration of a car. In this acceleration of a car activity, students make a scatter plot of corvette acceleration data. Students find a model to fit the data by taking the integral of the curve created by...
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Normal Curve Areas - Population
In this normal curve areas learning exercise, students follow 6 steps to compute the probability regarding the values from the population. First, they label x-scale with the mean and corresponding standard deviations and shade the...
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Normal Curve Areas
In this normal curve areas worksheet, students follow 6 steps to compute the probability regarding the possible sample of proportions using a large sample population. First, they label the Ps-scale with the proportion and corresponding...
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Area, Riemann Sums and Summation Notation
In this math activity, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations for rectangles.
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Finding the Area of a Shape
In this finding the area worksheet, students solve 25 problems in which the area of straight and curved shapes is calculated. This page is intended as an online activity, but may be completed on paper.
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Surface Area and Volume of a Cylinder
Seventh graders find the surface area and volume of a cylinder. In this area and volume lesson, 7th graders complete several activities to learn the volume and surface area of cylinders.
EngageNY
Normal Distributions (part 2)
From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.
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A.P. Calculus Integration Test
In this A.P. Calculus instructional activity, students complete a sixteen question test covering trigonometric integration, area under a curve, differential equations, and slope fields. Some of the problems are multiple choice, while...
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AP Calculus Test Chapter 7
In this calculus worksheet, 12th graders determine the areas bounded by curves and the volume of the solids of revolution. The two page worksheet contains a combination of ten multiple choice and free response questions and is to be used...
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Estimating Pi as a Length
In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...
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Pyramid in The Desert
Students investigate the Sierpinski triangle and calculate the ratio and area of the triangle. In this fractals lesson, students calculate parts of a Sierpincki triangle. They use Google Earth to help them construct the different parts...
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Gas exchange: Respiratory Systems
The need for a respiratory system in humans versus being reliant on gas exchange structures is demonstrated. There are many details about the advantages and disadvantages of each mechanism. Students are able to learn about the...
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Gas Exchange And Respiratory Systems.
Explore structures within the realm of gas exchange in terrestrial and aquatic life. The excellent, labelled diagrams and clear descriptions help your students view the different structures and adaptations that have developed. The 29...
Virginia Department of Education
Normal Distributions
Pupils work to find probabilities by using areas under the normal curve. Groups work to calculate z-scores and solve real-world problems using the empirical rule or tables.