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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.
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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...
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...
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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.
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The Definite integral and Area Under a Curve
Learners 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 under...
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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.
Orange County Department of Education
Integrity and "Thank You, M'am"
Ninth graders explore the definition of integrity through a class discussion. They provide positive/negative examples from the story and their own experiences. Students determine character traits by analyzing the dialogue in a short...
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The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus lesson, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this...
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Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson plan. 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.
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Integrated Pest Management
Students investigate the different methods used in integrated pest management. In this biology lesson, students evaluate experiments and case studies on IPM. They discuss the pros and cons of using this method.
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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...
Brooklyn Children’s Museum
Rocks and Minerals in Our Lives
Young geologists discover the important role that rocks and minerals play in our everyday lives through this series of hands-on activities. Starting off with a lesson that defines the difference between plants, animals, and...
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Nowhere to Hide
Students examine the topic of natural selection. As a class, they write their own definition to survival of the fittest and watch a video. Using the internet, they research how Darwin started to examine this process using finches and how...
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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.
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Integrating Physical Science and the Geological Environment
Students undertake a series of experiments and activities related to geology, especially in Connecticut. They evaluate types of rocks, minerals, and crystals, exploring the main concepts of geology.
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Technology Integrated Lesson
Young scholars investigate symmetry in the real world. In this geometry instructional activity, students inter-relate math and technology. They create and name a variety of polygons.
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Parenting in the Movies:Examining Responsibilities in Modern American Films
Students use films to identify the characteristics of a good parent. In groups, they research the different types of parenting methods used during colonial times, the Civil War and the Civil Rights movement. As a class, they develop...
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From Polymers to Bioplastics: Looking Toward Finding Renewable Resources
Students investigate the properties of polymers. For this chemistry lesson, students explain the importance of energy sources. They produce a bioplastic from the lab and evaluate its structural integrity.
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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.
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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...
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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.
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The Second Fundamental Theorem of Calculus
Students investigate the fundamental theorem of calculus. In this calculus lesson, students derive the fundamental theorem of calculus. They differentiate between the first and second theorem.
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