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Worksheet 9, Rational Functions
In this algebra worksheet, students tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...
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Notes to Quadratic Equations
In this quadratic equations worksheet, students read notes about graphing, factoring, square roots, completing the square, and the quadratic formula. Students read 2 1/2 pages of notes.
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Worksheet 14
In this math worksheet, students graph the function f(x) = sinx on a set of axes that is at least half the size of a page of notebook paper.
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Worksheet 35 - Fall 1995
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.
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The Coordinate Plane
For this coordinate plane worksheet, 9th graders solve and complete 10 different problems that include graphing points on a plane. First, they graph each point on the coordinate plane shown. Then, students write the ordered pair for each...
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The Standard Form of A Quadratic Equation
High schoolers investigate equations that are in the standard form of a quadratic equation represented as Y=ax2+bx+c. They factor the equations into linear factors to determine the x intercepts. The graph is also used to determine the x...
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Solve-Real roots-Intersections
In this math worksheet students complete a series of multiple choice questions including calculating intersections using x and y axis.
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y Intercepts
In this y-intercept worksheet, students graph functions and determine the y-intercept of the equation. Explanations and examples are provided prior to the exercises. This two-page worksheet contains ten problems.
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Worksheet 22-Fall 1995
In this math activity, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
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Linear Functions
Students solve, identify and define linear equations. In this algebra lesson, students calculate the slope and y-intercept of a line. They graph the line given two points and the slope.
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Transformations: Dilating Functions
Students dilate functions using transformation. In this algebra lesson, students complete vertical dilation, stretch and shrink. They perform reflection across the x and y axis.
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Algebraic Solution of a Quadratic, Linear System
In this algebra worksheet, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
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Linear and Quadratic Approximations
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus instructional activity students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare...
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Quiz: Translations and Vectors
In this translation and vector worksheet, students graph and label translations of polygons and points. Translation instructions are given as ordered pairs, as well as in written words. This one-page worksheet contains ten problems.
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AP Calculus Exam
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
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Find the Average Value of a Function
In this calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
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Worksheet 8 - Spring 1996
In this math worksheet, learners sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
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Ellipses
In this ellipses activity, 11th graders solve and complete 4 different problems. First, they define what an ellipse is and draw a picture. Then, students find the coordinates of the center and the foci and the lengths of the major and...
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Lab Sheet: Exponential Growth and Decay
In this exponential worksheet, students gather information from an experiment and plot the data in a scatter plot. Using given formulas, they plot an equation of a line and then compare the graphs. Students observe exponential growth...
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Discussion Sheet 2
In this math worksheet, students consider a two dimensional graph and then create two equations for revolving it around the axes.
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How Do They Relate? Linear Relationship
Young scholars collect information and use a line to represent it. In this algebra lesson, students investigate real world data to see if it makes a line. They graph the line comparing the relationship of the x axis with that of the y axis.
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Worksheet 7, Polynomials
In this algebra worksheet, students graph 3 polynomial functions. They find the intercepts, and the intervals above the x axis. Students create their own polynomials with given characteristics.
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Mathematics Within: Algebraic Patterns
Students discover patterns in linear equations by playing a dice game to collect data. They graph the data and analyze the patterns of the lines created by the data. The class then compares the individual graphs to evaluate the position...
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Absolute Value And Symmetry
Students engage in a lesson that is concerned with the concepts of absolute value and symmetry. They define the meaning of absolute value and graph functions and study the corresponding line and its symmetry. The lesson includes calculus...