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Discussion Sheet 5: Differentiate Functions
In this differentiate function worksheet, students differentiate functions, determine intervals, and derive the equation of a line tangent to a graph of a function. This two-page worksheet contains eleven problems.
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Exponential Growth
Young scholars study exponential functions. In this exponential growth lesson plan, students conduct a simulation in which a population grows at random but predictable rate. Young scholars compare and contrast linear and exponential...
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Decode Word Is..
Students solve problems using patterns. In this algebra lesson, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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Challenge Discussion Sheet 2
In this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page...
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Challenge Discussion Sheet 4
in this derivative worksheet, students find the derivative for the function w'(t) and tell the meaning of this. They create a sign chart for the derivative of two functions. Students create the graph of the derivative of a function as...
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Challenge Discussion Sheet 6
Students are challenged to determine values that are guaranteed by the mean value theorem. They sketch the graph of a function and show that it satisfies the conditions of the mean value theorem over a given interval. Students determine...
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Challenge Discussion Sheet 10: Limits
In this challenge discussion sheet on limits, students evaluate limits, derive formulas for the derivative of an inverse function, differentiate functions and find the values of constants. This one-page activity contains five multi-step...
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Charging Up, Charging Down: Exponential Models
Students collect and analyze voltage data. In this math lesson, students investigate exponential functions using the TI and a Voltage Probe. They graph their data and analyze it using a table.
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Discussion Sheet 11: Taylor Series and Maclaurin Series
In this Taylor and Maclaurin series worksheet, students determine the nonzero terms in a series for a given function. They determine the limits and graph the function. This two-page worksheet contains examples, explanations, and six...
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Discussion Sheet 3
In this math worksheet, students determine the maximum and minimum values for the functions. Then they evaluate the double integrals.
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Discussion Sheet 8
In this limits worksheet, students answer ten short answer questions. Students evaluate limits and differential problems. They find horizontal asymptotes for one function.
Inside Mathematics
Graphs (2004)
Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...
Inside Mathematics
Conference Tables
Pupils analyze a pattern of conference tables to determine the number of tables needed and the number of people that can be seated for a given size. Individuals develop general formulas for the two growing number patterns and...
Inside Mathematics
Printing Tickets
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
EngageNY
Geometric Sequences and Exponential Growth and Decay
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
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The Viewing Tube
Looking for an excellent lesson that incorporates math, science, and technology? Groups of three learners use a viewing tube to perform an experiment, and discover how to organize their data into an Excel spreadsheet. This is a...
EngageNY
Proving Trigonometric Identities
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
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The Intermediate Value Theorem
You and your calculus learners will appreciate this description, discussion, and examples of the Intermediate Value Theorem. Applications of the theorem are also discussed.
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NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
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The Customers
Exploring functions not represented by an expression is this task's secret. As your learners organize business customers in a database, they explore the definition of what it is to be a function.
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Extending the Definitions of Exponents, Variation 2
Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...
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Skipping Into Multiplication
Young mathematicians study the relationship between skip counting and multiplication. They build on skip counting skills and examine arrays while studying multiplication. Resources are provided.