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Interactive
CK-12 Foundation

Applications of Linear Systems: Alcohol Solution in Nursing

For Students 8th - 10th Standards
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
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Activity
Noyce Foundation

The Wheel Shop

For Students K - 12th Standards
Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...
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Activity
Noyce Foundation

On Balance

For Students K - 12th Standards
Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...
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Activity
Noyce Foundation

Miles of Tiles

For Students K - 12th Standards
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
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Lesson Plan
Virginia Department of Education

How Much is that Tune?

For Teachers 7th - 10th Standards
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
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Assessment
EngageNY

End-of-Module Assessment Task: Grade 8 Module 4

For Students 8th Standards
Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear equations. To...
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Lesson Plan
EngageNY

Systems of Equations Leading to Pythagorean Triples

For Teachers 8th Standards
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
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Lesson Plan
EngageNY

Conversion Between Celsius and Fahrenheit

For Teachers 8th Standards
Develop a formula based upon numerical computations. The 31st part of a 33-part unit has the class determine the formula to convert a temperature in Celsius to a temperature in Fahrenheit. They do this by making comparisons between the...
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Lesson Plan
EngageNY

Word Problems

For Teachers 8th Standards
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...
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Lesson Plan
EngageNY

Another Computational Model of Solving a Linear System

For Teachers 8th Standards
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...
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Lesson Plan
EngageNY

Nature of Solutions of a System of Linear Equations

For Teachers 8th Standards
If at first you cannot graph, substitute. The instructional activity introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part...
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Lesson Plan
EngageNY

Characteristics of Parallel Lines

For Teachers 8th Standards
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...
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Lesson Plan
EngageNY

Geometric Interpretations of the Solutions of a Linear System

For Teachers 8th Standards
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
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Lesson Plan
EngageNY

Introduction to Simultaneous Equations

For Teachers 8th Standards
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
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Assessment
Inside Mathematics

Picking Apples

For Teachers 8th Standards
Getting the best pick of the apples depends on where to pick. The short assessment presents a situation in which class members must analyze a real-world situation to determine the cost of picking apples. The pricing structures resemble...
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Lesson Plan
2
2
Teach Engineering

Forms of Linear Equations

For Teachers 7th - 9th Standards
Linear equations are all about form. The fifth part in a unit of nine works with the different equivalent forms of linear equations. Class members become familiar with each form by identifying key aspects, graphing, and converting from...
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Lesson Plan
2
2
Teach Engineering

Applications of Linear Functions

For Teachers 7th - 9th Standards
It's not so straightforward — lines can model a variety of applications. Pupils experience linear relationships within the context of science, including Hooke's and Ohm's Laws. Class members got a taste of motion and speed from the...
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Assessment
Curated OER

Hot Under The Collar

For Teachers 7th - 9th Standards
Pupils try to get a collar on temperature with a short assessment item that asks them to compare two different methods in converting Celsius to Fahrenheit. Individuals try to find out when an estimation provides conversions that are too...
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Lesson Plan
Mathematics Assessment Project

Classifying Solutions to Systems of Equations

For Teachers 8th Standards
Double the fun of solving a linear equation with an activity that asks learners to first compete an assessment task graphing two linear equations to find the common solution. They then complete a card activity solving systems of...
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Lesson Plan
Curated OER

Comparing Value for Money: Baseball Jerseys

For Teachers 8th Standards
Learners step up to the plate as they first complete an assessment task using linear equations to determine the best company from which to buy baseball jerseys. They then evaluate provided sample responses identifying strengths and...
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Assessment
Mathematics Assessment Project

Buying Chips and Candy

For Teachers 6th - 8th Standards
As a middle school assessment task, learners first two write equations representing their purchase of chips and candy bars. They then solve the system of equations to find the price of each item.
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Workbook
1
1
University of Utah

Simultaneous Linear Equations

For Students 8th Standards
Solve simultaneous linear equations, otherwise known as systems of linear equations. Pupils practice solving systems of linear equations by graphing, substitution, and elimination. The workbook provides a class activity and homework for...
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Assessment
Charleston School District

Review Unit 6: Systems of Equations

For Students 8th - 9th Standards
It's time to show off what they learned! The final lesson in the series is a review worksheet on the topics learned throughout the unit. Scholars solve systems of equations using graphic and algebraic methods, solve system-based word...
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Handout
Charleston School District

Solving Systems by Inspection

For Students 8th Standards
Can you solve a system by just looking at it? The previous lessons in the series taught three methods of solving systems of equations. Now learners discover they can determine the number of solutions of a system just by looking at it....