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 worksheet, 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 positive and...
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 Inequalities in Two Variables
In this graphing inequalities activity, 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 listed...
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
For 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
Linear Inequalities
In this linear inequalities activity, 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
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...
Concord Consortium
Crossing the Axis
Mathematicians typically reference eight different types of functions. Scholars learn about the requirements for graphing a function and must decide how many different functions fit. To finish, they define each specific function meeting...
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.
Virginia Department of Education
Transformationally Speaking
Young mathematicians explore transformations of graphs by graphing sets of functions on the same pair of axes. They use their graphs to determine the effect that the values of a and b in y = ax + b have on the graph of y = x.
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.
Curated OER
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.
Curated OER
Matrix Transformations
High schoolers perform reflections of polygons. In this algebra lesson, students use matrices to calculate the reflection across the x and y axis. They also calculate rotation representing 90 and 180 degrees around the origin of the...
Curated OER
Ellipses
Students define ellipses and their properties. In this calculus lesson, students analyze ellipses for their shape, center, major and minor axes. They create a paper ellipse to have a visual of what an ellipse really looks like in 3D.
Curated OER
Discriminant Testing
The class works to identify solutions using the discriminant.They use part of the quadratic formula to find the number of solutions a quadratic equation will have. They calculate how-many times the quadratic function will cut the x-axis....
Curated OER
Reflection
In this math instructional activity, students practice their skills in constructing reflections of shapes that are on a grid. This instructional activity has 13 problems for the students to solve, and includes an answer sheet.
Curated OER
Plotting Temperature and Altitude
students convert the temperature readings from degrees Celsius to degrees Fahrenheit. they predict and create a graph of what the graph of altitude (x-axis) versus temperature in degrees Fahrenheit (y-axis) might look like.
Curated OER
Reflections
In this geometry worksheet, students identify the different types of reflections across the x and y axis. There are 6 questions on this worksheet with an answer key.
Curated OER
Delta-Epsilon Definition of a Limit
Twelfth graders define limits and use the delta epsilon definition to solve limits. In this calculus lesson, 12th graders investigate the x and y axis using delta epsilon limits. They learn a song to help them remember the definition.
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