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Curated OER
Definite Integral
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
Texas Instruments
Sands of Time
Twelfth graders explore an application of integration. A calculus lesson prompts class members to find the length of the day where they live during the winter and summer solstice. Using data relating to the solstices at...
Curated OER
Shortest Path
High schoolers explore an application of definite integrals. They graph three functions that go through the same three points. Learners use the symbolic capacity of their calculators to find the shortest path through the three points and...
Curated OER
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Learners discuss the importance of fundamental theorems in math. In this calculus instructional activity, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to...
Curated OER
The Definite integral and Area Under a Curve
Young scholars define integrals and explore how they relate to the areas under a curve. In this calculus lesson, students solve word problems relating curves and integrals. They sing a song to help them remember the formula for the area...
Curated OER
Evaluating Definite Integrals with Substitution
Students evaluate and define limits using substitution. In this calculus instructional activity, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
Curated OER
MVT for Integrals
Students identify the meaning of the Mean Value Theorem. For this calculus lesson, students solve problems using the definite integral. They calculate the average value of a function.
Curated OER
Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
Texas Instruments
Quartic Regions
Young scholars explore quartic functions in this calculus lesson. They investigate an application of derivatives and definite integrals, then explore the question of which of the "three bumps" of a quartic is the largest.
Curated OER
The Fundamental Theorem of Calculus and Area Under the Curve
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
New York State Education Department
TASC Transition Curriculum: Workshop 13
The six instructional shifts in this workshop definitely move math and science teachers' understanding of instruction. The workshop, 13th out of a series of 15, asks participants to examine sample tests and to look at how the six...
Curated OER
Technology Integrated Lesson
Students investigate symmetry in the real world. In this geometry lesson, students inter-relate math and technology. They create and name a variety of polygons.
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
Curated OER
Riemann Rectangle Errors
Students calculate the area under a curve. In this calculus lesson, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
Curated OER
The Class Trip
Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Curated OER
Penny Basketball: Making Sense of Data
Explore four web-based interactive sites to develop a baseline understanding of statistics. Learners play a series of penny basketball games and collect data regarding their shooting statistics. Groups decide who is the "top" penny...
Curated OER
Disc/Washer Method
Students calculate the volume of solids. In this calculus lesson, students apply the Disk and Washer Method to solve for the volume of three dimensional objects. They calculate the volume caused by rotation that create...
Curated OER
Graphs and Data
Young scholars 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
What is an Antiderivative? Slope Fields
Students take the derivative of a function. In this calculus activity, students define slope fields and what they are used for. They relate slope fields to the real world.
Curated OER
Slope Fields
High schoolers create and analyze slope fields. In this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.
Curated OER
The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus lesson plan, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
Curated OER
Solids of Revolution - Disks
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
Curated OER
The First Fundamental Theorem of Calculus
Solve problems using the fundamental theorem. In this calculus lesson, students solve problems using theorems and proving theorems. They derive the fundamental theorem as they study it.