Illustrative Mathematics
Graphs of Power Functions
This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs of...
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Least Squares
In this least squares worksheet, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
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Zero Product Property and Quadratics
In this quadratic worksheet, algebra learners use the zero product property to solve basic quadratic equations. They identify where the parabola crosses the x-axis. Explanations and examples are provided. Answers are located on page two....
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Differential Equations
In this differential equations worksheet, students solve and complete 3 different parts of a problem. First, they sketch a slope field for the given differential equation on the axes provided. Then, students write an equation for the...
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Equations of Graphs
In this equations of graphs activity, 9th graders solve and graph 10 different problems that include various types of graphs. First, they determine the equation for each graph shown at the top of the sheet. Then, students determine on...
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Plotting Grids Using Battleship
Students coordinate grid points on X and Y axises to plot a physical location. The game of "Battleship is used to present first hand knowledge of this skill.
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VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.
Learners discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.
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Coordinates
In this coordinates worksheet, students solve and complete 3 different types of problems. First, they write the coordinates of each of the points shown in the diagram. Then, students draw the quadrilateral that is described by the given...
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Intersecting Lines
In this intersecting lines worksheet, 10th graders identify and complete 10 different problems that include equidistant intersecting lines. First, they write the equation of the locus of points equidistant from the x-axis and the y-axis...
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Trigonometric Functions
In this trigonometric functions activity, 11th graders solve 10 different problems that include applying various trigonometric functions in each. First, they determine the nearest degree that contains the measure of an acute angle formed...
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Exploring the Witch of Agnesi
students construct the graph of the Witch of Agnesi, and investigate both its asymptotes and inflection points. They construct the graph of the Witch of Agnesi and conjecture the asymptotes and inflection points of the function. ...
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Compound Locus
In this compound locus worksheet, 10th graders solve and complete 10 different problems related to compound locus. First, they determine the number of points in a plane that is units from a given line and from a given point on a line....
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Investigating Functions
For this investigating functions worksheet, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs shown. Then, students make a rough sketch of graph on a coordinate plane. They also...
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Function Investigation
In this functions worksheet, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs provided, making a rough sketch on a coordinate plane. Then, students predict what each graph will look...
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Position, Velocity & Acceleration vs. Time Graphs
In this graphing worksheet, students determine the speed vs. time and acceleration vs. time plots based on the velocity vs. time graph given. Students complete 2 graphs.
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Maximum and Minimum Problems
In this maximum and minimum problems activity, students solve and complete 9 various types of problems. First, they find two numbers with a given sum. Then, students find the maximum and minimum value of each equation. They also find the...
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Can You Help Me Find My Way Home? (Coordinate Plane)
Fifth graders locate points on a coordinate plane. Through lecture and observation, they discover the parts of the coordinate plane and how to plot an ordered pair. Students locate x and y values in an ordered pair.
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Plotting Points
In this plotting points worksheet, students are given eight points to plot on a coordinate plane. Afterward, they plot eight additional points and then translate the points according to given instructions. This one-page worksheet...
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The Coordinate Plane
In this coordinate plane worksheet, students identify and name ordered pairs on a coordinate plane. They plot and label points on a coordinate plane. This one-page worksheet contains 23 problems.
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Linear Equations
For this linear equations worksheet, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of the line to...
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Particular and Homogeneous Solutions
In this homogeneous and general solutions worksheet, students solve and graph 4 different types of equations related to particular solutions. They determine the general solution to each of the 4 homogeneous equations and the solution of...
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Area on a Coordinate Grid
In this area on a coordinate grid worksheet, students solve and graph 10 different problems on a coordinate grid. First, they determine the area of the given figures in each. Then, students determine the length of each side of the...
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Writing Coordinates
In this writing coordinates worksheet, learners solve and graph 6 different problems related to writing various coordinates on the graph. First, they move to the right and up on the grid, naming the point found. Then, students move up or...
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Locate Ordered Pairs
In this ordered pairs worksheet, students solve and graph 6 different graphs that include various ordered pairs. They determine each ordered pair shown in the graphs. Then, students write the letter for the point named by the ordered...
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