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Engineering in a Calculus Classroom
Students solve several differential equations. In this calculus lesson, students test their modulus calculation by testing different weights or beam lengths. They share their findings in class.
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Maxima and Minima Problems
Students calculate the maxima and minima of quadratic equations. In this calculus lesson, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the derivative.
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Elevator Height as Integral of Velocity
Pupils investigate integrals and their relationship to velocity in this calculus lesson. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
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Equations of Lines
Students classify lines, slopes and shapes. In this calculus lesson, students calculate the midpoint, segment and equation of a circle. They also review what a slope and angle of inclination is.
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Application of Delta-Epsilon Definition of the Limit
Students create a Hexaflexagon using a formula. In this calculus lesson, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and investigate angles.
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Introduction to Applied Maximum Minimum Problems
Twelfth graders solve problems by finding the maximum and minimum. In this calculus lesson, 12th graders analyze certain animals identifying their maximum and minimum points. They also use bubble as part of their real world application...
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Integrals involving Trig Substitution
Students define integrals and list the trig values. In this calculus lesson, students integrate functions using trig substitution. They solve integrals containing sums and differences of squares.
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Ellipses
Students define ellipses and their properties. For this calculus lesson, students analyze ellipses for their shape, center, major and minor axes. They create a paper ellipse to have a visual of what an ellipse really looks like in 3D.
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Cutting Corners - Parts 1 and 2
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
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Fun Times with Integrals
Students study techniques used for solving integrals. Using tangrams and hands-on activities, students perform basic integration techniques. They use artistic skills and real-world applications to discover more complex methods of...
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Divisibility Book
Students create a notebook with divisibility rules in it. In this algebra lesson plan, students write down the rules that determine the factors of a number. They continue to add to the book and use it to help them on their problems.
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Parabolas in Flight
Students utilize a trajectory formula in order to discover the physics of a thrown ball. In this physics lesson, students videotape the trajectory of a thrown ball or basketball shot and analyze the action by breaking the video...
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Traffic Problem- Solved Using Microsoft Excel
High schoolers relate algebra to real life scenario. In this algebra lesson, students design a plan to help traffic flow smoothly using velocity and speed. This assignment is done using Microsoft Excel.
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Miras, Mirrors, and Kaleidoscopes!
Learners use hands-on activities to explore transformations. They view a video segment that demonstrate how M. C. Escher employed geometry and transformations to create so many of his famous drawings.
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Modeling with Polynomials—An Introduction (part 1)
Maximizing resources is essential to productivity. Class members complete an activity to show how math can help in the process. Using a piece of construction paper, learners construct a box with the maximum volume. Ultimately, they...
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Graphs of Logarithmic and Exponential Functions
Young scholars watch as the teacher demonstrates that y=ln(x) and y=e^x are inverse functions. They graph these equations on the same axes. Students work other log functions. They learn a Reggae Song about the log of the quotient. Young...
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Is there Treasure in Trash?
More people, more garbage! Young environmentalists graph population growth against the amount of garbage generated per year and find a linear model that best fits the data. This is an older resource that could benefit from more recent...
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Lady Macbeth's Cure
High schoolers 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.
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The Mathematical Dynamics of Celestial Navigation and Astronavigation
Students explore the different methods used in celestial Navigation and astronavigation. In this math lesson, students construct a sextant and demonstrate how it works.
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Less is More: Realizing Mathematics Through Agriculture
High schoolers study the architectural designs of different popular sites. In this math lesson, students draw a grid diagram. They explain what geodesic algorithms are used for.
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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...
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Meiosis
Using yarn and chenille stems, lab groups collaborate to model mitosis and meiosis. Brief background information and a vaguely written procedure comprise this outline. More instruction needs to be provided to learners about cell division...
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Equations of Lines
Young scholars define slope, and practice finding the slope of lines through given points. They determine the angle of inclination. Students find the relationship between the slope and the tangent of the lines. Young scholars determine...
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Computer Graphing Calculator Explorations
Students explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
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