EngageNY
Revisiting the Graphs of the Trigonometric Functions
Use the graphs of the trigonometric functions to set the stage to inverse functions. The lesson reviews the graphs of the basic trigonometric functions and their transformations. Pupils use their knowledge of graphing functions to model...
Math Drills
Christmas Cartesian Art Santa
Santa has his eye on you in a graphing activity that has young mathematicians plot ordered pairs on a Cartesian plane. After joining the points together, a picture of jolly Santa Claus comes to life.
Math Drills
Christmas Cartesian Art Holly
Happy Holly Days! Get the class graphing points on a coordinate plane with a worksheet that turns ordered pairs into works of Cartesian art.
Math Drills
Christmas Cartesian Art Snowflake
A festive math worksheet hones graphic skills and keeps the season bright! Young mathematicians join points in the order they were graphed to create a snowflake picture.
EngageNY
Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
Teach Engineering
Coordinates and the Cartesian Plane
The plot thickens to get a functional understanding. After a short review of plotting points on the coordinate plane, class members learn the difference between functions and relations in the second lesson in a series of nine. They show...
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The instructional activity introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both...
West Contra Costa Unified School District
Three Forms of an Equation of a Line
An equation is an equation is an equation. Scholars see there are many ways to solve them when they first sort a set of linear equations as written in standard form, point-slope form, or slope-intercept. They then write equations in all...
West Contra Costa Unified School District
Solving Systems of Inequalities
Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...
Math Worksheets Land
Halloween Cartesian Art: Bat
Get the class batty over graphing. Young mathematicians plot ordered pairs in all quadrants of a Cartesian plane, and connect the points to create a bat.
Math Drills
Halloween Cartesian Art: Witch Hat
What is the mystery picture? After plotting points on the first quadrant of a Cartesian coordinate system, young mathematicians connect the points to create a Halloween-themed picture.
Math Drills
Halloween Cartesian Art
Jack-o-lanterns are the face of Halloween. Middle school mathematicians graph coordinates on a cartesian plane and connect the points to create a jack-o-lantern.
Mathematics Assessment Project
Linear Graphs
A line is a line is a line. As a middle school assessment task, learners first identify graphs of given linear equations. They then identify the equations that represent real-world situations.
Curated OER
Building Functions
Pupils determine equations that match the graphs of transformations and the parent quadratic function. The resource requires class members to attend to precision and think abstractly.
Mathematics Assessment Project
Square
Don't be a square! Young mathematicians determine the slope and length of a line segment. They then prove whether four given coordinate points form a square.
Mathematics Assessment Project
Cubic Graph
Connect cubic graphs to equations. After connecting solutions of a cubic equation to zeros of its related cubic function, pupils investigate a translation of the cubic function.
Mathematics Assessment Project
Sorting Functions
There's no sorting hat here. A high school assessment task prompts learners to analyze different types of functions. They investigate graphs, equations, tables, and verbal rules for four different functions.
Mathematics Assessment Project
Bird’s Eggs
Are the length and width of birds' eggs related? Young ornathologists use a scatter plot to investigate the relationship between the length and width of eggs for Mallard ducks. They then determine the egg with the greatest...
Mathematics Assessment Project
Printing Tickets
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.
Mathematics Assessment Project
Sugar Prices
Sugar rush! In this assessment task, learners interpret points on a scatter plot representing price versus weight for bags of sugar. They then determine the bag that represents the best value.
Mathematics Assessment Project
Sidewalk Patterns
Sidewalk patterns ... it's definitely not foursquare! Learners investigate patterns in sidewalk blocks, write an expression to represent the pattern, and then solve problems using the expressions.
Mathematics Assessment Project
Circles in Triangles
Circles, and triangles, and tangents, oh my! In the assessment task, learners first answer questions leading to the radius of an inscribed circle for a given right triangle. They then use the result to independently determine the radius...
Mathematics Assessment Project
Functions
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.