Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson plan of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function...
Curated OER
Wind, Pressure, Force, Calculus and Engineering Connections
Twelfth graders solve first order differential equations using the separation of variables technique. In this calculus lesson, 12th graders explain the connection between math and engineering. They brainstorm what engineers do in real life.
Curated OER
Enumeration
In this calculus lesson plan, students review counting using the principles of Enumeration. They use random selections to count and convert word problems and count. There are 21 problems with an answer key.
Curated OER
Jurassic Park: The Science and Ethics of Genetic Engineering
Explore genetic engineering through an engaging "Jurassic Park" unit, which is an extensive use of a cross-curricular teaching event. Planned for AP Biology, English, and Calculus students, learners and teachers are involved for 4-6...
Curated OER
Introduction to Slope Fields
Young scholars plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
Curated OER
Secant Line Approximation of the Tangent Line
Students perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.
Curated OER
Secant and Secant Segments
Young scholars use the secant and secant segment theorem to solve problems. In this calculus lesson, students identify where the secant line crosses on a circle. They create circles and secants using cabri software.
Curated OER
Law of Sines
Students identify the ratios of a right triangle. In this calculus lesson, students use the law of sines to solve problems involving non-right triangles. They identify the different parts of a triangle.
Curated OER
Half Angle
Learners calculate the solution using half angles formulas. In this calculus lesson, students identify the different properties of a triangle using trigonometric properties. They identify the mean, altitude and angles of a triangle.
National Security Agency
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.
Curated OER
Lady Macbeth's Cure
Students role-play the position of Lady Macbeth's nurse. They are to create a project or service that can cure her sleepwalking. They create their own commerical to sell their product.
Balanced Assessment
A Sharper Image
Not all continuous functions are differentiable. Pupils find three types of functions that are defined everywhere but not differentiable for all values of x. Along with providing examples of each type of function, students explain the...
Curated OER
Graphs and Data
Students investigate poverty using graphs. In this algebra lesson, 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.
Curated OER
Area Under A Curve
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
Curated OER
Create a Cookbook
Trios write, design, and produce cookbooks. In a truly collaborative project, they choose what content to include, contribute recipes, and decide on formatting. Then, they reformat all recipes to ensure consistent style, publish the...
West Contra Costa Unified School District
Comparing Rational Functions and Simplified Functions
What kind of functions have holes in their graphs? Here, the teacher guides the class on how to use the simplified function of a rational function to aid in the graphing of the original rational function. T-tables are used in order to...
Curated OER
Charging Up, Charging Down: Exponential Models
Students collect and analyze voltage data. In this math instructional activity, students investigate exponential functions using the TI and a Voltage Probe. They graph their data and analyze it using a table.
Curated OER
Mathemafish Population
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
Kenan Fellows
Attack of the Aphids!
Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...
Kenan Fellows
Man vs. Beast: Approximating Derivatives using Human and Animal Movement
What does dropping a ball look like as a graph? An engaging activity asks learners to record a video of dropping a ball and uploading the video to software for analysis. They compare the position of the ball to time and calculate the...
Kenan Fellows
Using Motion Sensors to Explore Graph Sketching
Get moving to a better understanding of graphs of derivatives. Using motion sensors, scholars vary their velocities to create graphs of the first derivative of a function. The activity challenges groups to first create a script of the...
Curated OER
Orbital Bliss
Most young mathematicians are aware that the planets don’t orbit the sun in a circle but rather as an ellipse, but have never studied this interesting feature. This resource looks at the planetary orbits in more detail and helps learners...
Curated OER
Worksheet 7 - Derivative
In this derivative worksheet, students derive the equation of a plane containing given points. This one-page worksheet contains eight multi-step problems.
Curated OER
Screaming for Ice Cream
Mathematicians investigate maximizing volume by learning to explore the problem in which they seek to maximize the volume of a cone. Students solve the problem symbolically, graphically, and through the use of integration or...
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