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Balance Your Day With Food and Play
In this healthy living worksheet, students color a picture of a wild cat who is exercising in the park. Students find the 10 snacks and play things in the picture.
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New Functions From Old, Part 1
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
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The Derivative
In this derivative instructional activity, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page instructional activity contains...
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Accumulation Functions and Definite Integrals
In this accumulation functions worksheet, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...
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Finding the Extrema Graphically and Symbolically
In this extrema worksheet, students use the first derivative test and the second derivative test to determine the local extrema. They identify the local maximum and global maximum. This eight-page worksheet contains detailed...
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Limits, Continuity and Differentiability
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
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Introduction to Taylor Series
In this Taylor Series worksheet, students explore functions with an infinite series. They complete an integral of convergence and explore the degree of the polynomials. This four-page worksheet contains four multi-step problems.
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Taylor Polynomials, Minima, Maxima and Inflection Points
In this Taylor polynomial activity, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
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Finding Extrema Graphically and Symbolically
In this extrema worksheet, students use graphing calculators and the optimization method to identify the maximum and minimums of a given function. They compute the first and second derivative, and graph the functions. This eight-page...
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Learning the Anti-differentiation Process
In this math learning exercise, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.
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The Fundamental Theorem and IVP's
In this math activity, students practice solving the problems concerning the concept of energy consumption. They also review the Fundamental Theorem of Calculus.
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A Plethora of Derivatives
In this derivative worksheet, students fill in tables to identify the value of given functions. They write and utilize the addition rule, chain rule, multiple rule, product rule, quotient rule and power rule to solve functions. This...
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Convergence Tests for Infinite Series
In this convergence worksheet, students explore different tests for convergence of an infinite series of numbers. This six-page worksheet contains twelve multi-step problems.
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The Chain Rule and Applications
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
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Complex Analysis: Functions of Complex Variables
In this function instructional activity, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page instructional activity contains approximately ten problems.
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Complex Analysis: Functions of Complex Variables
For this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.
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Linear Systems: The Reduced Row Echelon Matrix
In this echelon matrix, students identify the nullspace of a matrix by finding the reduced row echelon matrix. This two-page worksheet contains explanations, examples and six problems.
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Finding Roots and Newton's Method
In this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
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Reviewing the First Unit
In this linear function activity, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six discussion...
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The Voyage of the Beagle and Darwin's Observations
Pupils become familiar with the main events of Darwin's voyage. They comprehend the importance of geographic distribution and geographic isolation on the formation of a new species. Students analyze how living things can change over a...
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Discussion Sheet 4
In this math learning exercise, students read each word problem and then use the rules of geometry or calculus to find the solutions in groups.
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Word Search Y1 Ordering/Place Value
In this math words worksheet, students find words in a word search. Students complete the word search by finding eleven ordering and place value words.
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More On Accumulation Functions
In this math worksheet, students investigate using the accumulation method to solve for the functions. They also review using Riemann Sums.
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Trigonometric Examples of Integration by Substitution
For this integration worksheet, students use trigonometric identity and integration by substitution to solve given integrals. This two-page worksheet contains three problems.
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