Virginia Department of Education
The Exercise Fields
Horses need exercise, too. Scholars create linear equations to model the perimeter of exercise fields for horses. They finish by solving their equations for the length and width of the fields.
Curated OER
Solving Linear Equations
Use this worksheet for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
Curated OER
What Is It?
You have to love lessons that foster problem solving strategies. This one has upper graders devise and employ their own strategy to solve given problems after they have used classics like guess/check, substitution, make a table, and look...
Curated OER
Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
CPM
Using Equal Values Method or Substitution
Math whizzes solve and complete 20 different problems. Problems are solved using the substitute, or the equal values method. Learners also create their own systems of equations based on word problems.
Curated OER
Dimensions of Subspaces
In this math worksheet, students practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
West Contra Costa Unified School District
Linear-Quadratic Systems
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
PBL Pathways
Arsenic and Selenium Removal From Drinking Water at a Minimal Cost
Decide on the most efficient plan to supply drinking water. The second project-based learning task in a two-part series builds upon the first project. Pupils revisit the wells to supply drinking water, but they must make sure the...
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 4
A math model is a good model. A slide show presents 10 sample items on modeling and data analysis. Items from Smarter Balanced illustrate different ways that Claim 4 may be assessed on the 8th grade math assessment. The presentation is...
Mathematics Assessment Project
Printing Tickets
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.
101 Questions
CoinStar
Would you rather have a bowl of dimes or a bowl of quarters? A video introduces the problem by presenting two bowls, one full of quarters and another full of dimes. Learners use information from a CoinStar receipt to calculate the number...
Curated OER
Two-Variable Linear Inequalities
Here is an engaging lesson on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
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...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
Curated OER
Peter's Third String
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
Radford University
How do I Choose the Most Cost Efficient Scooter Rental Plan for My Family?
Pupils compare the cost of renting scooters for a family vacation from three different rental places. To help make their decision, scholars create tables, equations, and graphs of the pricing structure. Individuals then determine which...
Curated OER
Podcasting Parabolas
Learners explore parabolas. In this algebra and technology instructional activity, students construct the equation of a specific parabola, then take digital photos of real-life representations of these parabolas. Learners...
CK-12 Foundation
Direct Variation: Value of a Painting
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
National Council of Teachers of Mathematics
Over the Hill
Can you hear me from there? Pupils determine the place to build a cell tower on a hill. The class uses constraints and creates a scale drawing on a coordinate system to calculate the exact location of the base of the cell tower.
Curated OER
Linear Systems: Matrix Operations
In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
Curated OER
Border Patrol ID: 11603
Incorporate technology in your classroom by teaching your learners how to graph systems of linear inequalities as they apply to an area of land. The lesson provides an extension in which students are challenged to write a system of...
Curated OER
Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...