Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...

What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

Don't shoo away the resource on shoes. Given constraints on the amount of leather and string needed to make two different types of shoes, learners graph a system of inequalities for the situation. They then determine the maximum profit...

Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms lesson, 11th graders solve a linear system using elementary row operations. Students also describe the set of...

Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson plan, pupils learn algebraic methods of solving the systems. 

Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet,...

In this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.

Students focus on finding solutions to situations found in everyday life. Students participate in activities to solve a system of equations, identify the system as consistent and independent, consistent and dependent or inconsistent. ...

Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.

In this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.

Students solve systems of equations. In this algebra lesson, students identify the number of solutions to a system of equation. They solve using linear combination and graphing.

In this Algebra I/Algebra II learning exercise, 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...

In this Algebra I/Algebra II instructional activity, learners use graphing to solve a system of linear equations.  The one page instructional activity contains one multiple choice question.  Answer is included.

In this system of linear inequalities worksheet, students solve 5 problems with the graphing method and are given 2 examples with multiple steps to follow.

What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....

This first of twelve algebra 2 resources provides a broad review of many algebra 1 concepts through a number of separable lessons and labs. Starting with the real number system and its subsystems, the sections quickly but thoroughly...

Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...

Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying...

In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...

Students observe a demonstration of linear momentum. In this linear momentum lesson, students observe a series of demonstrations of linear momentum and qualitative observations.

When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a worksheet that engages scholars to properly label line graphs. It then requests two applied reasoning answers.

Where is the best place to work? Small groups map out a kitchen on a coordinate plane and find the centers of the work triangle to find the best place to install an island. The teams use algebraic methods to locate the center by finding...

Filippo Brunelleschi's invention of linear perspective during the Renaissance was further developed by his apprentice, a young artist named Leonardo da Vinci. Now modern artists can give da Vinci's famous perspectograph a try...

How high did the ball go? Engineering teams build a working pneumatic system that launches a ball into the air. The teams vary the amount of pressure and determine the accompanying height of the ball. An extension of building a device to...