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Math 53 - Review for Midterm 1
In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.
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Parabolas
In this parabolas worksheet, 11th graders solve and complete 12 different problems. First, they use the graph to write the equation of each parabola. Then, students name the vertex for each and write their responses on the line provided.
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Graphing Systems of Equations
In this systems of equations worksheet, students use graphs to solve systems of equations. They determine if the equation contains one solution, no solution, or many solutions. This one-page worksheet contains ten problems.
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Slope of a Line
In this slope of a line worksheet, 9th graders solve and graph 10 different problems that include determining the slope of a line. First, they determine the slope of a line that contains two given points. Then, students determine the...
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Math 212: Constrained Multivariable Optimization
In this optimization worksheet, students solve problems using the method of Lagrange. They identify the points and distance from the origin in an equation. This two-page worksheet contains three problems.
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Math 212: Planes
In this planes activity, students consider the position of given vectors and find the vector equation of a plane. They identify the points that lie on a plane and determine the equation of a line through given points. This two-page...
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Less is More: Subtraction in Action
Students participate in group games to help review the concept of subtraction. During the games, they practice subtracting two-digit numbers and the concept of borrowing. They review their answers with the class and move on to...
101 Questions
Transforming Houses
Moving a house is hard work. Given a diagram of a row of houses, scholars determine a set of transformations that would map one house to the next. A second diagram with a coordinate plane helps with the task.
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Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
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Cartesian Baseball
Students examine the characteristics of a Cartesian coordinate system. They use the game of baseball to help reinforce the topic. They develop a coordinate system for the desks in their classroom.
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Points, Lines and Planes
In this points, lines and planes instructional activity, 10th graders solve and complete 9 various types of problems. First, they name the planes that intersect a figure shown. Then, students determine the points that are collinear and...
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AP Calculus Practice Exam: BC Version - Part A
In this calculus worksheet, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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Equations as Relations
In this equations as relations worksheet, 10th graders solve and graph 9 different problems that include determining various ordered pairs. First, they determine the ordered pairs that are solutions to each equation. Then, students solve...
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Graphing Systems of Inequalities
In this graphing systems of inequalities worksheet, 9th graders solve and complete 8 different problems. First, they solve each inequality if necessary. Then, students graph each inequality to locate the overlapping portions on the grid....
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Investigating Parabolas
In this investigating parabolas worksheet, 9th graders solve and graph 7 different problems that include graphing various equations that represent parabolas. First, they sketch their graphs to each problem. Then, students determine what...
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Slope
In this slope activity, 9th graders solve and complete 18 different problems that include identifying various points on a graph. First, they determine the slope of each line drawn on the grid to the right. Then, students determine the...
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Exponential Functions
In this exponential functions worksheet, 9th graders solve and complete 23 various types of problems. First, they simplify each expression. Then, students evaluate the function at different values of x and plot the ordered pairs. in...
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Equations and Inequalities
In this equations and inequalities worksheet, 9th graders solve and graph 10 different problems that include determining the slope of a line in each. First, they determine the line that contains given points on a grid. Then, students...
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Functions
In this functions worksheet, 11th graders solve and complete 30 various types of multiple choice problems that include reading and interpreting functions and patterns. First, they determine the table that best represents a function....
Texas Instruments
Graphing Calculator Investigation Graphs of Relations
Learners investigate relations in this algebra lesson. They graph the set of ordered pairs that determine a relation. Using a TI-83 Plus, your learners will enter the coordinates in a list, create a scatter plot, and manipulate the...
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Independent Practice 1: Plot Ordered Pairs
In this ordered pair worksheet, middle schoolers plot given ordered pairs onto a coordinate plane. Ordered pairs contain both negative and positive numbers. Therefore, all four quadrants of the coordinate plane are used. This one-page...
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Handy Reflections
Learners explore reflections on a coordinate plane in this lesson. They trace their hand on a grid, determine the coordinates of each point, and create a scatter plot of their points. Pupils use this information to investigate aspect...
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Straight Line Graphs
Pupils review the techniques of plotting and reading points on a grid. They identify why facts explaining how to read coordinates as well as the importance of the order in which the coordinates are given. Individual practice of equations...
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Plotting Points
Eighth graders practice plotting points on a coordinate plane. As a class, they create and label the parts of a graph. Given ordered pairs, they plot the points, connect them to reveal a particular shape, and find the area of the shape.