National Council of Teachers of Mathematics
Improving Archimedes' Method
For this Archmides' method instructional activity, high schoolers determine the area of a regular n-gon inscribed in a circle. They use sine and cosine functions to solve problems. This three-page instructional activity contains 4...
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Graphs and Derivatives
In this graphs and derivatives worksheet, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.
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Differentiation of Functions
In this differentiation of functions worksheet, students find the first derivative of given functions. Functions contain exponents and square roots. This three page worksheet contains nine multi-step problems.
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Chapter 7. Functions and Graphs
In this functions and graphs worksheet, students determine the domain and range of a given relation. They graph functions on a coordinate plane and write equations in the slope-intercept form. This twelve page worksheet contains 30...
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Difference of Equations
In this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution...
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Operations with Functions Including Composition
Students explain functions. In this function lesson, students solve functions. Groups of students develop strategies to perform operations with functions. They write test questions using functions which include all operations...
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Rational Functions
In this rational functions worksheet, students identify rational functions. They find the domain and range of each function. Students find the x and y-intercepts of functions. This two-page worksheet contains 35 multip-step problems.
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SAT Problem Solving Practice Test 02
In this problem solving activity, students solve a variety of problems. Problems include topics such as rate, time, similar figures, volume, and functions. This one-page activity contains ten multiple-choice problems. Answers may be...
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Powerful Patterns
Students use logical thinking to create, identify, extend and translate patterns. In this pattern lesson, students make patterns with objects, numbers, and shapes. Students extend and translate these patterns in several modalities...
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Functions & Algebra
Young scholars examine linear equations. For this functions and algebra lesson, students write equations in the slope-intercept form. They enter data in a graphing calculator, examine tables, and write linear equations to match the data.
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Up, Down, Right, Left - Function Families
Students explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...
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Formulae: Mental Tests
In this formulae worksheet, students find the value of a function, compute total cost, and simplify algebraic expressions. This four-page worksheet contains 30 problems.
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Graphing Trig Functions
In this graphing trig functions worksheet, learners find the amplitude of each function. They graph the function. This four-page worksheet contains 12 problems. Answers are provided on the last two pages.
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Graphing Quadratic Functions
In this graphing quadratic functions worksheet, students create a function table and graph quadratic functions. This four-page worksheet contains 33 problems. A graph is supplied with each function. One example is provided at the...
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Graphs of Functions
In this graphs of functions worksheet, learners identify the domain and range of a function. They determine the vertical horizontal asymptote and find the y and x intercepts. Students sketch a graph of the function. This one-page...
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Linear Functions
In this linear function worksheet, students examine graphs and determine the slope, the y-intercept and the equation of a line. They identify parallel and perpendicular lines. This two-page worksheet contains 3 multi-step problems.
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Practice Test: Vector Equations
In this vector equations learning exercise, students sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page learning...
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Introduction to Differentiation
In this introduction to differentiation worksheet, learners solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then, students sketch the...
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Function Problems
For this function worksheet, young scholars use given functions to determine the rate at which people enter and exit an amusement park. They compute the number of dollars collected at a specified time and predict when the number of...
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Functions and Relations
In this functions and relations worksheet, 11th graders solve and complete 15 various types of problems. First, they find the slope and y-intercept for each function given. Then, students find the slope of the line passing through the...
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Graphing Functions
In this graphing functions worksheet, 11th graders solve and complete 10 different types of problems. First, they graph each function and list the asymptote, domain and range for each. Then, students sketch each graph. They also draw and...
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Functions
In this functions worksheet, students solve and complete 11 different types of problems. First, they find the coordinates of all points on the graph of each equation where the tangents to the graph are horizontal. Then, students write...
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Graphing Functions
In this graphing functions instructional activity, students solve and complete 25 various types of problems. First, they evaluate each of the limits presented. Then, students graph each given function, graphing both the equation and then...
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Relations and Functions
In this relations and functions worksheet, 11th graders solve and complete 10 various types of multiple choice problems. First, they use the same relation between two variables as the given table to determine the value of one variable...