Curated OER
Find A System
Learners must think critically about the graphical and algebraic forms of a system of linear equations in order to come up with their own system when given a point that is the solution to the system.
Curated OER
Pairs of Whole Numbers
Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.
Illustrative Mathematics
Dimes and Quarters
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns. Scholars could find the answer algebraically or create a table to analyze the...
Curated OER
Accurately Weighing Pennies I
Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
5280 Math
Go with the Flow
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
Curated OER
Accurately Weighing Pennies II
Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.
Noyce Foundation
Digging Dinosaurs
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
PBL Pathways
Gas Prices
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
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
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Other
Algebra.com: Linear Equation and System Solvers: Solve Linear Systems
This interactive linear system solver allows you to enter two linear equations in general form and then plot the lines and find the answer using either substitution or elimination. The answer is presented with both methods accompanied by...
Texas Instruments
Texas Instruments: Linear Systems: Using Algebra
Students learn to solve a system of linear equations (2 equations with 2 variables) by substitution and elimination methods. They also review the definitions of consistent (independent and dependent) and inconsistent systems, and...
Lawrence Hall of Science
The Math Page: Skill in Algebra: Simultaneous Linear Equations
Here is a site that clearly and thoroughly explains how to solve systems of linear equations using the methods of combination, substitution, and Cramer's Rule. There are example problems solved, problems for the student to attempt, and...
Other
Stony Brook University: Solving Linear Equations
The name linear comes from the fact that such an equation in two unknowns or variables represents a straight line. A set of such equations is called a system. This site explains all this and more.
Paul Dawkins
Paul's Online Notes: Algebra: Systems of Equations
Learners examine how to solve systems of equations. Topics investigated are linear systems with two variables, linear systems with three variables, augmented matrices, and nonlinear systems. Class notes, definitions, and examples with...
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Purple Math
Purplemath: Systems of Linear Equations: Definitions
Covers the basic definitions involved in systems of linear equations.
Other
Simon Fraser University: Background for Linear Systems
This site from the Simon Fraser University gives an introduction to solving a system of differential equations.