Jim Noble, Richard Wade & Oliver Bowles
Pyramid Model
Seeking to derive the formula for the volume of a square pyramid, geometry learners construct six square based pyramids that, when pieced together properly, form a cube. Two short videos demonstrate the relationship between pyramid and...
Houston Area Calculus Teachers
Cubic Polynomial
Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based on their...
Curated OER
Highs and Lows
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are...
EngageNY
Deriving the Quadratic Formula
Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...
Project Maths
Introduction to Calculus
Don't let your class's heart rates rise as you introduce them to differentiation ... an inquiry-based lesson helps them keep it in check! The second lesson in a three-part series asks learners to analyze the rate of change of different...
Curated OER
Bloodstain Pattern Simulations: A Physical Analysis
Students receive bloodstain pattern evidence from a crime scene. They answer a series of questions through inquiry, observation, measurement, and analysis. Pupils complete this challenge, by reconstructing the evidence through four...
Texas Instruments
Confectionery Delight
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
Curated OER
Investigation - Staci's New Car
Students study a shopping problem. They discuss strategies for determining the number of possible choices. They create a tree diagram and an organized list. Students analyze patterns and derive an equation for the multiplication principle.
Curated OER
Ohm's Law: Getting There Hands On
Young scientists inductively derive Ohm's Law of voltage, resistance, and current by creating series and parallel circuits with 9-volt batteries and light bulbs. A week's worth of experiments, observation, and hands-on activities are...
Curated OER
Pi Day: The Other Math Holiday!
Happy Pi Day! This collection of games, experiments, and activities leads participants through an exploration of the many aspects and attributes of that mysterious quantity, pi. Activities range from using statistical experimentation to...
Project Maths
Integral Calculus
From derivatives to antiderivatives and back again. Building on the second lesson of the three-part series covering functions, learners explore the concept of an antiderivative. They connect the concept to the graph of the function and...
Curated OER
Similarities and Differences in Properties of Different Families of Functions - An Investigation
Exploring families of functions allows students compare and contrast properties of functions. Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
Curated OER
Fill and Wrap It Up
Learners find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
Curated OER
Cap-It to the Max
Eighth graders compare the volume of three cylinders constructed from the same size sheet of paper. They use concrete and graphical models to derive formulas for finding perimeter, circumference, area, and volume of two and three...
Curated OER
Related Robots
Learners solve problems using implicit differentiation. In this calculus lesson, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two robots.
Curated OER
One Revolution for Robot
Students calculate the revolution and circumference of circles. For this calculus lesson, students derive the formulas for their given shape. They use the d=rt to calculate the distance and rate of travel.
Curated OER
Box It Up
Students calculate the surface area of prisms. In this geometry activity, students investigate the properties of prisms and analyze ways to calculate the are of a rectangular prism. They derive the formula for surface area.
Curated OER
Prisms-Turn Up The Volume
Identify the length, width, and height of prisms. Critical thinkers calculate the volume of prisms given small amounts of information. They derive the formula given the length, width and height.
Curated OER
Volume of Cones
Learners identify the volume of cones and pyramids. In this geometry lesson, students derive the formula for cones and pyramids. They calculate the volume of cones and other three dimensional shapes.
Curated OER
Rules for Differentiation
Twelfth graders review the rules for derivatives and use them to solve problems. In this calculus lesson, 12th graders apply the power rules for derivatives correctly to solve equations. This assignment contains lots of examples of...
Curated OER
Differentiation
Learners explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation. The lesson provides examples with solutions and practice problems.
Curated OER
Symmetric Secant
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry lesson, students create secant lines on the navigator to analyze the derivative. They move the lines around and make observations.
Texas Instruments
Listen and Line Up
High schoolers practice the derivative using an interactive activity. In this calculus lesson they explore the derivative by playing a game. Each student gets a turn at being the caller.
Curated OER
Logarithmic Differentiation
Students analyze the steps required to take the derivative of an equation. In this calculus instructional activity, students take the derivative of logs using the same method for regular equations. They review derivatives of sine, cosine...
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