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Worksheet
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\n\"Working\n\n
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\nCurated OER\n
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\nWorking with Rates of Change\n

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\n\nFor Students\n\n8th - 12th\n
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\nIn this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.\n
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Lesson Plan
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\n\"Traffic\n\n
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\nCurated OER\n
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\nTraffic Problem- Solved Using Microsoft Excel\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents 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.\n
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Lesson Plan
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\n\"Mathematics\n\n
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\nCurated OER\n
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\nMathematics Lesson for Grade 12\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders examine multiple aspects of statistics. In this mathematical reasoning lesson, 12th graders solve problems on probability, logarithms, exponential relationships and transforming rectilinear shapes. This resource contains...\n
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Lesson Plan
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\n\"Linear\n\n
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\nCurated OER\n
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\nLinear and Quadratic Approximations\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nPupils explore a linear, a parabolic, and a log function.  For this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function.  Pupils examine the three graphs as they compare and...\n
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Lesson Plan
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\n\"Bouncing\n\n
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\nCurated OER\n
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\nBouncing Ball Experiment\n

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\n\nFor Teachers\n\n10th - 11th\n
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\nStudents collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.\n
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Lesson Plan
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\n\""A\n\n
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\nCurated OER\n
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\n\"A Slice of the Cone\"\n

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\n\nFor Teachers\n\n9th - 11th\n
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\nHere is a set of lessons that explore conics in a number of different ways. Starting with modeling how a conic is produced by the way a plane cuts the cone, to solving complex word problems, algebra learners progress through a series of...\n
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Lesson Plan
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\n\"Using\n\n
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\nKenan Fellows\n
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\nUsing Motion Sensors to Explore Graph Sketching\n

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\n\nFor Teachers\n\n11th - Higher Ed\n
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\nGet 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...\n
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Lesson Plan
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\n\"Is\n\n
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\nCurated OER\n
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\nIs there Treasure in Trash?\n

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\n\nFor Teachers\n\n7th - 10th\n
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\nMore 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...\n
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Lesson Plan
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\n\"Graphs\n\n
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\nCurated OER\n
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\nGraphs and Data\n

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\n\nFor Teachers\n\n7th - 10th\n
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\nPupils 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.\n
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Lesson Plan
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\n\"Move\n\n
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\nCurated OER\n
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\nMove My Way: A CBR Analysis of Rates of Change\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners match a given velocity graph and sketch the corresponding position graph using a graphing calculator. After collecting data from their everyday life, students use specific functions on their calculators to create graphs and...\n
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Lesson Plan
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\n\"Translations,\n\n
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\nCurated OER\n
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\nTranslations, Reflections and Rotations\n

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\n\nFor Teachers\n\n5th\n
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\nFifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.\n
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Lesson Plan
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\n\"Seeing\n\n
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\nCurated OER\n
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\nSeeing Mathematics in the Forces of Nature \n

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\n\nFor Teachers\n\n5th - 9th\n
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\nStudents study waves and their characteristics.  For this wave lesson students calculate the speed of waves, wavelength and the period. \n
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Lesson Plan
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\n\"Cannonball\n\n
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\nCurated OER\n
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\nCannonball\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nStudents calculate the speed, motion and distance of a projectile. For this geometry lesson, students obtain measurements while calculating velocity. They graph their results and make predictions.\n
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Lesson Plan
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\n\"Between\n\n
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\nCurated OER\n
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\nBetween The Extremes\n

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\n\nFor Teachers\n\n8th - 10th\n
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\nStudents analyze graphs for specific properties. In this algebra lesson, students solve equations and graph using the TI calculator. They find the different changes that occur in each graph,including maximum and minimum.\n
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Lesson Plan
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\n\"Translations,\n\n
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\nCurated OER\n
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\nTranslations, Reflections, and Rotations\n

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\n\nFor Teachers\n\n10th\n
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\nTenth graders have been introduced to the concepts of translation, reflection, and rotation, and have practiced translating, reflecting, and rotating two-dimensional objects on the coordinate plane.\n
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Lesson Plan
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\n\"Creating\n\n
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\nCurated OER\n
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\nCreating a Mathematical Model Using Weather Data\n

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\n\nFor Teachers\n\n8th - 11th\n
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\nStudents explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...\n
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Lesson Plan
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\n\"Fractals\n\n
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\nCurated OER\n
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\nFractals\n

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\n\nFor Teachers\n\n10th - Higher Ed\n
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\nStudents explore the concept of fractals. In this fractal lesson, students use applets to explore Koch's Snowflake, Sierpinski's Triangle, and other fractals. Students develop these concepts through exploration and teacher guided...\n
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eBook
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\n\"Hofstra\n\n
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\nHofstra University\n
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\nHofstra University: Calculus Applied to the Real World\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...\n
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Activity
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\n\"Math\n\n
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\nMathematics Archives\n
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\nMath Archives: Visual Calculus: Antiderivatives/average Value of a Function\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...\n
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Activity
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\n\"Karl's\n\n
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\nKarl's Calculus Tutor: L'hopital's Rule\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis site provides a detailed overview of L'Hopital's Rule, and includes numerous examples and exercises. The site begins with a lengthy real world example, page-down until you see L'Hopital's Rule in red if you wish to skip the real...\n
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Activity
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\n\"Finite\n\n
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\nStefan Warner and Steven R. Costenoble\n
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\nFinite Mathematics & Applied Calculus: Creating a Family Trust\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nStudents apply statistics concepts to a real world example. Topics include normal and beta distributions.\n
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Instructional Video
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\n\"Dartmouth\n\n
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\nDartmouth College\n
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\nDartmouth College: Mqed: That's Calculus!: Episode 6 and 7: In Search of the Derivative\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe resource examines derivative applications. In these video lessons Josh finds examples of the derivative in the real world with the help of several scientists and a policeman.\n
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Activity
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\n\"Wolfram\n\n
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\nWolfram Research\n
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\nWolfram Science World: Cl Circuit\n

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\n\nFor Students\n\n9th - 10th\n
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\nShows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Pre Calculus: Vi and Sal Talk About the Mysteries of Benford's Law\n

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\n\nFor Students\n\n9th - 10th\n
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\nA video in which Benford's Law is described briefly and shown graphically. A couple of real-world examples are given in which the data follows Benford's Law. Students are motivated to think about why Benford's Law works. [8:04]\n
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