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 the...
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...
Curated OER
TAKS 5th Grade Daily Upkeep 10
For this mathematics worksheet, students practice finding the coordinates found in the Cartesian graphing style for the three problems.
Curated OER
Reaching New Heights
Students explore the relationship between two variables. Students measure their arm span and height. They gather this class data to design a scatter plot. Students interpret the meaning of individual coordinates and the overall graph....
Curated OER
High School Mathematics Problems from Alaska: Firewood Problem
Students write and solve equations for the cost of firewood by the cord, then use this information to develop tables of values and graph their equations.
Curated OER
Systems of Linear Inequalities
In this Algebra I/Algebra II worksheet, students solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system. The three page worksheet...
Curated OER
Introduction to functions
In this functions worksheet, students plot points on a graph according to the rule. Students plot 7 points on each of the 2 graphs given to them.
Curated OER
Get the Picture?
Students show reflection, translation and rotation of a simple coordinate graph picture which they have created.
Curated OER
Entrance Ticket
Students collect data on different events and word problems. In this algebra lesson, students use a table to organize their data. They graph their coordinate pairs on a coordinate plane and make predictions.
Curated OER
Distance between points
In this distance between points worksheet, students determine the distance between 2 coordinates on a graph. Students complete 10 problems.
Curated OER
Equations of Horizontal and Vertical Lines
Students are given graphs of lines and asked to write an equation. In this algebra lesson plan, students are asked to write the equations for horizontal and vertical lines. They write equations for line crossing and going through...
Pennsylvania Department of Education
Using the Coordinate Plane in Problem Solving
Fifth graders practice solving problems. In this fraction and decimal lesson plan, 5th graders recognize the relationship between fraction and decimals. Students estimate problem results and write expressions to use for problem solving.
Curated OER
Graphs
In this algebra worksheet, students calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.
Curated OER
Investigation-Looking at Polygons
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
Curated OER
Graphs And Ellipses
Learners become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked example.
Curated OER
Graphs and Functions
Students are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
Curated OER
Parabola
In this parabolas instructional activity, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then,...
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Curated OER
Place Value and Transformation
Fourth graders have a class discussion about fraction and negative numbers that were in the coordinates. They plot and read ordered numbered pairs. They transform ordered pairs and explore transformation of figures on a plane.