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PBL Pathways
College Costs
Predict the year that college costs will double in your state using linear modeling. The first part of this two-part project based learning activity asks young mathematicians to use data from the College Board. They graph the data,...
EngageNY
Nonlinear Motion
Investigate nonlinear motion through an analysis using the Pythagorean Theorem. Pupils combine their algebraic and geometric skills in the 24th lesson of this 25-part module. Using the Pythagorean Theorem, scholars collect data on the...
EngageNY
End-of-Module Assessment Task: Grade 7 Module 2
Learners demonstrate their ability to operate with rational numbers through a five-question assessment that includes questions ranging from simple operations with integers to solving two-step equations with rational coefficients.
Curated OER
Interesting Integers and Exciting Equations
An 80-page resource provides four lessons and all associated worksheets to teach middle schoolers about expressions and equations. The lessons are hands-on, using games, "integer chips," a balance and cubes, and cut and paste activities....
Curated OER
Explore Learning Exponential Functions
High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M &...
CK-12 Foundation
Linear, Exponential, and Quadratic Models: Bernoulli Effect
How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...
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,...
Curated OER
Coding with Linear Equation
Students explore linear equations. They participate in a simulation to save the International Space Station from intruders. Students create linear equations to save the Space Station from aliens.
Curated OER
Practice Problems for Linear Equations and Graphs
A activity that could also be used as a quiz presents students with 20 linear equations. They graph, solve for the slope, and intercepts of 8 equations. Students solve for the equation of a line, passing through given points for 6 sets...
Curated OER
Linear Equations
In this linear equations worksheet, students problem solve two equations by graphing the solution set of the system in each one.
Curated OER
Linear Equations
In this Algebra I worksheet, 9th graders match vocabulary words relating to linear equations to their definition in a drag and drop game format. The one page interactive worksheet contains seven matching questions and is self...
Curated OER
Linear Systems
In this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
Curated OER
Solve Equations for the Indicated Variable
In this solving equations worksheet,, students solve equations for the indicated variable. As students solve the problems, they select the check box to check their work and answers. The directions also encourage students to use the check...
Curated OER
Linear Equations ax = c
In this middle school/Algebra I worksheet, students solve one-step multiplication equations. The one page worksheet contains twenty-eight problems. Solutions are provided.
Curated OER
Linear Systems: Matrix Operations
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
Curated OER
Linear Equations
Ninth graders solve linear equations. In this Algebra I lesson plan, 9th graders investigate the properties of equations (Reflexive, Symmetric, Transitive, Substitution, and Transformation Properties) and use these properties to...
Curated OER
Linear Equations
For this Algebra I/Algebra II worksheet, students write the equation of a line given the coordinates of two points on the line. The one page worksheet contains a combination of three multiple choice and free response...
Raytheon
Equations and Graphing Review
For this equations and graphing review instructional activity, learners write, graph and solve equations for 62 problems, including a mid-unit review, with answers included.
Curated OER
Graphs & Equations of Lines
In this graphs and equations of lines worksheet, 10th graders solve 12 different problems that include graphs and various equations of lines. First, they determine the slope of a line that passes through two sets of points. Then,...
Waterloo Mathematics
Grade 7 Patterning and Algebra: Algebraic Expressions
Classmates solve 18 different problems that are mostly word problems that apply algebraic expressions. They draw different combinations of masses on a scale that would balance. They also simplify expressions and solve for x in a number...
Inside Mathematics
Squares and Circles
It's all about lines when going around. Pupils graph the relationship between the length of a side of a square and its perimeter. Class members explain the origin in context of the side length and perimeter. They compare the graph to the...
Inside Mathematics
Graphs (2006)
When told to describe a line, do your pupils list its color, length, and which side is high or low? Use a learning exercise that engages scholars to properly label line graphs. It then requests two applied reasoning answers.
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
Curated OER
Linear Systems: Applications of Linear Algebra to Differential Equations
For this differential equations worksheet, learners solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.