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.
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
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
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
Coordinates
In this coordinates worksheet, learners 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...
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
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...
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
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
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...
Curated OER
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...
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
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.
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
Locate Ordered Pairs
In this ordered pairs instructional activity, 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...
EngageNY
Locating Ordered Pairs on the Coordinate Plane
Four quadrants, four times the fun. Future mathematicians learn the terminology associated with the coordinate plane and how to plot points in all four quadrants. A worksheet tests their understanding of the material in the 16th...
Houghton Mifflin Harcourt
Unit 8 Math Vocabulary Cards (Grade 5)
Reinforce math vocabulary with a set of flash cards. With a total of forty-eight cards, each are printed in bold font, and include definition cards that offer a labeled example. Terms include absolute value, ordered pair, variable and...
Columbus City Schools
Speed Racers
Who wants to go fast? The answer? Your sixth-grade science superstars! The complete resource offers the ultimate, all-inclusive playbook for mastering the important concepts of speed versus time; distance versus time; and how to graph...
Curated OER
Coordinate Connections
Sixth graders complete several activities that involve coordinates and graph paper. They visualize and identify geometric shapes after applying transformations on a coordinate plane. Finally, 6th graders draw and label a coordinate...
Curated OER
Transformations
In this algebra worksheet, 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
Three In a Row
Sixth graders examine how to locate coordinate points. For this coordinate graphing lesson, 6th graders locate the x and y axis. Students use their arms to show horizontal and vertical lines, participate in group and independent graphing...
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
Definite Integral
Learners investigate the intervals represented by a function in this calculus activity. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.