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...
Mathed Up!
Solving Equations
Use the same procedures, just with rational numbers. The resource builds upon scholars' ability to solve linear equations that involve rational numbers. Pupils solve one-step, two-step and multi-step equations in the review for the...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
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.
Illustrative Mathematics
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Curated OER
Quinoa Pasta 2
Learners discover that a system of linear equations models this mixture of quinoa and corn in a collaborative task. Your learners receive all the relevant information in this second of three variants of tasks that ask them to find the...
Illustrative Mathematics
Two-School Dance
Who's ready for the dance? When two middle schools combine for a dance, your learners' job is to calculate the ratio of girls attending. Provided with three different solutions, you can choose from setting up a ratio, linear equation, or...
Curated OER
Quinoa Pasta 3
A mixture of quinoa and corn is for dinner in this collaborative task that sets up nicely as a system of linear equations. Your supper guests discuss numerical precision and percentages as they formulate a plan of how to solve the problem.
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...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Concord Consortium
A Linear System
Young mathematicians have the hang of graphing with integer coefficients now. Can they generalize what they've learned to equations with variable coefficients? The task asks individuals to verify the solution to the system is (x,y) and...
Curated OER
Linear Functions
Your learners will explore linear functions by analyzing a graph of the linear equations.Then learners analyze through calculating f(x+P) and g(x+p)
Mathed Up!
Simultaneous Equations with a Quadratic
Viewers discover how to solve quadratic-linear systems with a video that first explains the substitution method for solving a system of equations involving a quadratic. Scholars then complete a worksheet of practice problems.
Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Virginia Department of Education
Equation Vocabulary
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.
Illustrative Mathematics
Comparing Speeds in Graphs and Equations
Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question.
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
Concord Consortium
Same Solution Equations
Group equations by their solutions. Given six different equations, pupils determine which have the same solutions. Scholars explain why some are the same and some are different.
Illustrative Mathematics
Coupon Versus Discount
All too often stores give coupons for an item, but when you go into buy it, the item is on discount. The store won’t take the coupon if the discount is used. So what do you do, use the coupon or take the discount? This activity helps...
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Mathed Up!
Simultaneous Equations
How do you solve systems of linear equations? Scholars watch a video to learn how to solve systems using elimination-combination. After viewing the video, they solve seven systems of equations.
EngageNY
Word Problems
Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
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