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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 lesson 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 series finishes...
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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

Graphs (2007)

For Teachers 9th - 12th Standards
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
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Assessment
Inside Mathematics

Printing Tickets

For Teachers 9th - 12th Standards
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
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Assessment
1
1
Inside Mathematics

Coffee

For Teachers 9th - 12th Standards
There are many ways to correlate coffee to life, but in this case a worksheet looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and solving for those...
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Lesson Plan
1
1
EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Space

For Teachers 11th - 12th Standards
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application questions...
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Assessment
Inside Mathematics

Number Towers

For Teachers 9th - 12th Standards
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
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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
EngageNY

When Can We Reverse a Transformation? 1

For Teachers 11th - 12th Standards
Wait, let's start over — teach your class how to return to the beginning. The first instructional activity looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with...
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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
West Contra Costa Unified School District

Mixture Problems

For Teachers 8th - 10th
Mix up your lessons with the resource on mixture problems. Scholars use manipulatives to model and solve mixture problems. Individuals then set up both one- and two-variable equations to solve the problems.
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Lesson Plan
1
1
West Contra Costa Unified School District

Linear-Quadratic Systems

For Teachers 8th - 10th Standards
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...
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Assessment
Mathematics Assessment Project

Functions

For Students 8th - 9th Standards
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might use a...
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Lesson Plan
1
1
EngageNY

Systems of Equations

For Students 10th - 12th Standards
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 
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Lesson Plan
EngageNY

Linear Systems in Three Variables

For Students 10th - 12th Standards
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
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Lesson Plan
1
1
EngageNY

Graphing Systems of Equations

For Students 10th - 12th Standards
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 
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Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test C1

For Students 9th - 12th
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
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Assessment
Mathematics Assessment Project

Best Buy Tickets

For Students 9th - 12th Standards
Everyone wants the best price when shopping — no matter what they are trying to buy. Given pricing information, pupils must solve a system of equations to determine the best option for printing tickets.
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Lesson Plan
Willow Tree

Systems of Equations

For Students 8th - 11th Standards
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
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Assessment
Mathematics Assessment Project

Creating Equations

For Students 8th - 11th Standards
Using equations to model events. The resource contains four items that prompt individuals to write and solve basic equations. They must reason abstractly and quantitatively while attending to precision when solving the problems.
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Assessment
1
1
Illustrative Mathematics

Solving Two Equations in Two Unknowns

For Students 8th - 10th Standards
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning. 
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Assessment
Achieve

Ground Beef

For Students 7th - 10th Standards
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 leanness,...