Curated OER
Linear Systems: Vector Spaces
In this vector space worksheet, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page worksheet contains approximately eight problems.
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target D
Can learners determine solutions associated with lines? A slide presentation contains sample items for the Smarter Balanced 8th grade math Target D covering solving linear equations and systems of linear equations. Items illustrate the...
Concord Consortium
Parameters and Clusters I
Chase the traveling solution. Pupils analyze the solutions to a system of linear equations as the parameter in one equation changes. Scholars then use graphs to illustrate their analyses.
Charleston School District
Graphing with Slope-Intercept Form
Work on graphing linear equations using the provided materials. The print and video lesson thoroughly review the concepts related to graphing linear equations in slope-intercept and standard form. The materials prepare learners for...
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Achieve
Stairway
It's the stairway to learning! Scholars research all aspects of building a staircase. Using information from building codes, they write and graph a system of inequalities to analyze the constraints. The completed project is a scale model...
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...
Curated OER
Dental Impressions
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....
Concord Consortium
"Equal" Equations
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
Achieve
Rabbit Food
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...
Mathematics Vision Project
Module 4: Equations and Inequalities
Can you justify that mathematically? Help learners see the process of solving as using mathematical properties rather than a set of steps to memorize in the fourth module of a nine-part Algebra I series. The module contains six...
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Achieve
Ground Beef
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...
EngageNY
Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
Fredonia State University of New York
Watch Your Step…You May Collide!
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
Mr. E. Science
Motion
An informative presentation covers motion, metric system, conversions, graphing of coordinates and lines, speed, velocity, and acceleration problems, as well as mean calculations. This is the first lesson in a 26-part series.
Curated OER
It Takes Ten
Review and use standard units of measure with your math class. They move from station to station estimating and measuring length, volume, weight, and area. At each station they estimate and measure, and then compute the difference...
Curated OER
Systems of Linear Equations - Standard Form
Students write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard form and...
Curated OER
Car Engines
Students create piston systems and explore the conversion of linear to rotary motion that propels a car. In this motion lesson, students build and test a model piston/crankshift system and discover why there is a maximum limit to how...
Curated OER
Algebra 1, Unit 7, Lesson 8: Practice Finding the Equation of a Line
Learners solve systems of linear equations by graphing. The introduction of the lesson asks students to work in pairs or small groups to graph a line when given two points. Learners graph 14 equations on the same coordinate grid to...
Curated OER
Scientific Notation III: Linear vs Exponential
Students after investigating examples of exponential growth students have an intuitive feel for the concept of exponential growth of a system.
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