Illustrative Mathematics
Interpreting the graph
The purpose of this exercise is to give practice in reading information about a function from its graph. Learners are given graphs of two functions on the same axes. The task is to locate and label various key points on the graph that...
Virginia Department of Education
Transformation Investigation
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
Curated OER
Equations of Graphs
In this equations of graphs worksheet, 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...
Curated OER
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...
Curated OER
Linear Inequalities
In this linear inequalities worksheet, 11th graders solve and complete 9 different problems that include various linear inequalities. First, they draw a number line to determine their equals portion and make the appropriate notation....
Curated OER
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....
Curated OER
Graphing Inequalities in Two Variables
In this graphing inequalities worksheet, 9th graders solve and graph 6 different problems that include two variables. First, they define the given vocabulary terms found at the top of the sheet. Then, students graph each inequality...
Curated OER
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...
Curated OER
Equations and Inequalities
For this equations and inequalities worksheet, 9th graders solve and graph 8 different problems that include various systems of equations. First, they determine the solution to each set of system of equations. Then, students graph the...
Curated OER
Graphing Linear Equations
In this graphing linear equations activity, 9th graders solve and graph 10 different problems that include graphing on the given coordinate planes. First, they determine whether each equation is a linear equation and rewrite it in the...
Curated OER
The Coordinate Plane
In this coordinate plane worksheet, 9th graders solve and graph 30 different problems that include determining various coordinates on a graph. First, they write the ordered pair for each point shown on the grid, naming the quadrant in...
Curated OER
Tables and Relations
In this tables and relations worksheet, 9th graders solve and complete 13 various types of problems that include graphing. First, they solve each equation for the given variable. Then, students determine the ordered pairs that are...
Curated OER
Maximum and Minimum Points
In this maximum and minimum points learning exercise, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box...
Curated OER
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...
Curated OER
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...
Curated OER
Equation of a Line
In this equation of a line worksheet, 9th graders solve 10 different problems that include the equation of a line. First, they determine the equation of a line that has a given slope and passes through a given point on a graph. Then,...
Curated OER
Quadrants
In this quadrants instructional activity, 10th graders solve and graph 6 different graphs that contain four different quadrants. They name the quadrant or on which axis the point lies. Students identify the difference between graphing...
Curated OER
Graphs of Functions
In this graphs of functions worksheet, 9th graders solve and complete 3 different types of problems. First, they graph function f given by the functions shown on the grid. Then, students find the inverse of a function including its...
Mathed Up!
Reflections
Tracing paper is not just for art anymore — pupils can use it to find reflected images, too! Two videos show how to reflect images using tracing paper and find the reflection between the pre-image and image. Learners perform reflections...
West Contra Costa Unified School District
Comparing Linear and Quadratic Functions
If a linear function and a quadratic function enter a boxing match, which one would win? Learners first review how to find key features of linear and quadratic functions. Next, they compare key features of pairs of functions.
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Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria.
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Calculus Practice BC
In this calculus worksheet, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
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Coordinates
In this geometry instructional activity, 10th graders are given points on a coordinate plane, and they must figure out what the x and y values are. There are 6 graphing question.
Curated OER
Transformations
In this algebra activity, students identify different transformations based on the x and y axis reflections. They use vectors to do their translations. There are 28 questions.