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.
Mathematics Assessment Project
Representing Inequalities Graphically
A new, improved version of the game Battleship? Learners graph linear inequalities on the coordinate plane, then participate in a game where they have to guess coordinate points based on the solution to a system of linear...
Mathematics Vision Project
Connecting Algebra and Geometry
Connect algebra and geometry on the coordinate plane. The eighth unit in a nine-part integrated course has pupils develop the distance formula from the Pythagorean Theorem. Scholars prove geometric theorems using coordinates...
Concord Consortium
Graphical Depictions
Parent functions and their combinations create unique graphical designs. Learners explore these relationships with a progressive approach. Beginning with linear equations and inequalities and progressing to more complex functions,...
Math Drills
Thanksgiving Cartesian Art: Pumpkin
Not a Halloween jack-o-lantern, but a Thanksgiving pumpkin! Young mathematicians graph and connect points on a coordinate system to unveil the mystery picture.
GeoGebra
Too Big, or Not Too Big
Determine whether the point is just right. The interactive allows participants to input a constraint equation. Pupils pick a point and determine whether it is too big, not too big, or just right for the constraint. Using the graphing...
Bowland
Explorers – Patrol Services
Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...
Curated OER
Linear Relations
For this linear relations worksheet, students complete a table for given functions. They classify graphs as linear or non-linear. Students graph given equations. They compare and contrast graphs. This nine page worksheet contains five...
Curated OER
Solving a System of Linear and Quadratic Equations
In this Algebra II worksheet, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic. The three page worksheet contains a combination of nine multiple choice and free...
Curated OER
Linear Graph
Students solve linear equations and graph the different functions. In this algebra lesson, students graph piecewise functions using the slope and y-intercept and the given restrictions on the domain of the line. They discuss rate of...
Curated OER
The Slope of Parallel and Perpendicular Lines
In this Algebra I/Algebra II instructional activity, students examine slope to determine if the given lines are parallel or perpendicular. Students determine the equation of lines that are either parallel or perpendicular to the...
Mathalicious
Out of Left Field
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
Curated OER
Systems of Linear Inequalities 2
Students solve systems of inequalities. In this lesson plan, they identify the solution of the two lines and shade the solution. They identify the boundary line and the region representing the solution.
Curated OER
Analyzing Graphs of Two Equations
Students analyze graphs of two equations. In this algebra lesson plan, students rewrite word problems as linear equations. They graph their solution and compare and contrast the two items being represented.
Curated OER
Graphing Nonlinear Equations
Students graph non-linear equations. In this algebra lesson plan, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.
Curated OER
Linear Programming and the Inequalz App
Learners graph system of linear inequalities in this lesson. Your class will use the Inequality Graphing App to enter linear programming functions into the calculator that can be stored for later use. They then determine the maximum for...
Curated OER
Linear Systems: Graphical Interpretation of Vectors
For this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
Curated OER
Equations and Inequalities
In this equations and inequalities worksheet, students complete 4 multiple choice questions involving graphs of linear equations and intercepts.
Illustrative Mathematics
Downhill
A car traveling down a steep hill is the model for this resource. The confusion comes when the elevation, E, is given in terms of distance, d. The distance, d, is the horizontal distance from E. Therefore, the equation, E = 7500 – 250d,...
Curated OER
Standard Linear Form
Ninth graders identify and describe the x-intercept as the place where the line crosses the x-axis as it applies to football. They create their own differentiations to reinforce the distinction between the x-intercept and the...
Curated OER
Linear Equations Data Tables
Learners graph linear equations on a Cartesian plane. After describing data tables and their use, students explore how the information from a table can be used to create a line graph. They discuss reasons for plotting a minimum of...
Curated OER
Linear Inequalities - Parallelogram Problem
Students use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the results on...
Curated OER
Graphing Linear Equations Using Data Tables
Pupils review the Cartesian plane and the process of plotting points. In groups, students create tables, identify the slope and y-intercept, and graph the equation. Afterward, pupils perform the same process, only, individually. As a...
Curated OER
I Can Do This! Systems of Equations
Students solve systems of 2-by-2 linear equations using tables,
graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.