NY Learns
Investigation - Looking at Polygons
Middle schoolers construct polygons by plotting points on a coordinate plane. Pupils connect the points and identify which polygons they have drawn. They will need graph paper to carry out the assigned activities. A vocabulary list,...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Curated OER
A Real Life Example of the Distance Formula
Students answer the following question: "Using the lines of latitude and longitude, what is the distance (in degrees) if you were to travel from NASA Dryden to NASA Ames?" They use the distance formula to find the distance (measured in...
Curated OER
Analyzing Data Sets
In this analyzing data sets instructional activity, 11th graders solve and complete 35 various types of problems that include the analysis of data given. First, they determine the equation that best describes the data shown in a table....
Curated OER
Math A Regents Questions: Points on a Line
In this linear equations worksheet, students solve 3 multiple choice problems. Students determine if a given point lies on a line given an equation of that line.
Curated OER
1st Geometry
In this geometry worksheet, students choose the multiple choice answer to 15 questions involving several different elements of geometry.
Curated OER
How are we Related?
Students differentiate functions based on their domain and range. In this algebra instructional activity, students define function, domain, range and relation. They analyze graphs and coordinate pairs for input and output values making...
Curated OER
Building a Rover
Students investigate properties of lines and points by making a rover. In this algebra lesson, students plot points correctly on a coordinate plane. They identify coordinate pairs given the plots and lines.
Curated OER
Sequences
In this algebra worksheet, students spell out the name of the integer and count the number of letters. This number becomes the y value for the graph. After solving for the missing y-value, students plot their coordinate pairs.
Curated OER
Finding the Area of a Parallelogram with Translations
Students calculate the area of a parallelogram. In this geometry lesson plan, students perform translation using a coordinate plane and coordinate pairs. They perform translation on other polygons.
Curated OER
AP Calculus Exam
In this calculus worksheet, students review important rules of derivatives and integrations. They graph their functions using symmetry and coordinate pairs. There are 20 questions.
Alabama Learning Exchange
Human Slope
Middle and high schoolers explore the concept of slope. In this slope lesson, learners graph lines using a life-size graph. They use chalk on a blacktop to create a coordinate plane and use each other as the tick marks on the grid....
Virginia Department of Education
Transformations
Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...
Houghton Mifflin Harcourt
Unit 8 Math Vocabulary Cards (Grade 4)
Enhance fourth graders' math vocabulary with 17 word cards and their definitions. Learners focus on terms that deal with graphing, such as y-axis, coordinates, plot, and ordered pair in the last set of math vocabulary cards.
Illustrative Mathematics
The Circle and The Line
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
Curated OER
Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Curated OER
Slope
Studying slope? This one page activity has it covered! Learners use graphs and coordinates to find slope and also use slope to find a missing coordinate of a point on a line. The lesson also includes a real-world example that asks...
Mathematics Vision Project
Circles: A Geometric Perspective
Circles are the foundation of many geometric concepts and extensions - a point that is thoroughly driven home in this extensive unit. Fundamental properties of circles are investigated (including sector area, angle measure, and...
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
Curated OER
Exploring Transformations
Students explore what happens when geometric figures are transformed on the coordinate plane. They work in pairs, moving geometric shapes in the plane, and formalize their rules as functions.
5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
Curated OER
Functions - Intro and Inverses
Define the terms domain, range, function, vertical limit test, and linear function notation with your class. They can then, graph several equations applying the vertical line test to determine which are and which are not functions, write...
EngageNY
An Appearance of Complex Numbers 2
Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews...
Curated OER
Hit the Slopes
Eighth graders work in one collaborative group to understand how ordered pairs are represented and graphed on a coordinate plane. They identify points on the coordinate plane and communicate their understanding of ordered pairs and their...