Curated OER
Latent Heat of Fusion
Students conduct a series of investigation on latent heat of fusion. In this chemistry instructional activity, students explain how thermal storage systems work. They draw and interpret graphs.
Curated OER
AP Calculus Practice Exam BC Version: Part B
In this calculus activity, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
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Integrals and Integration
In this calculus worksheet, students evaluate definite integrals using numbers and radians. They take the derivative to solve their equations, using trigonometric identities. There are 4 questions.
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Curve Sketching
In this calculus worksheet, 12th graders answer questions about derivatives, increasing and decreasing functions, relative maximum and minimum and points of inflection. They also sketch the graph of the equation. There are 10 problems...
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Local Linearity
In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
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Lines in the Plane
Students differentiate between parallel and perpendicular lines. In this algebra lesson, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
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This Old Tubeworm
Students plot data to construct and interpret a graph about vestimentiferans at cold-seep sites in the Gulf of Mexico. In this deep sea lesson, students plot data provided for the growth of tubeworms. They use the graphs to determine...
Curated OER
Ap Calculus First Semester Exam
In this algebra worksheet, 12th graders assess their knowledge on logs, functions and derivatives. There are 40 questions on this exam.
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Timed Caluculus Exam
In this Calculus learning exercise, 10th graders have 45 minuets to solve 6 multi-step problems involving velocity, integrals, and graphing.
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Finding the Area Under A Curve with Random Probability
Students 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. Students calculate the area under the same...
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Maximum and Minimum of Functions
For this calculus worksheet, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
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Equations of Circles
Using Cabri Jr. students construct a circle and determine the equation of the circle they drew by finding the center and the radius. Students use the distance formula to derive the equation of their circle.
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Celsius to Fahrenheit
Students convert degrees between two different units. In this algebra lesson, students graph linear equations and identify the line of best fit. They use their line of best fit to make predictions given a set of data.
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A.P. Exam Calculator Review
Learners 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...
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Problem Solving and Puzzles: 3
Your class can use this to warm up or to discuss their problem solving strategies. They review the 8's times tables, relate the multiplication problems to division, then use a chart to solve a word problem involving money.
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
EngageNY
Exponential Growth—U.S. Population and World Population
Show how exponential growth can look linear. Pupils come to understand the importance of looking at the entire picture as they compare the US population to the world population. Initially, the populations look linear with the same rate...
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Drawing the Coordinate Plane and Points on the Plane
To plot a point in the coordinate plane, you first need a coordinate plane. Pupils learn to draw an appropriate set of axes with labels on a coordinate plane. They must also determine a reasonable scale to plot given coordinate pairs on...
EngageNY
Four Interesting Transformations of Functions (Part 3)
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
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Modeling with Quadratic Functions (part 2)
How many points are needed to define a unique parabola? Individuals work with data to answer this question. Ultimately, they determine the quadratic model when given three points. The concept is applied to data from a dropped...
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Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
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Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
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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.
EngageNY
The Inverse Relationship Between Logarithmic and Exponential Functions
Introducing inverse functions! The 20th installment of a 35-part lesson plan encourages scholars to learn the definition of inverse functions and how to find them. The lesson plan considers all types of functions, not just exponential...