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Mathematics Assessment Project

Solving Quadratic Equations

For Teachers 9th - 12th Standards
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
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...
PPT
BW Walch

Creating Linear Equations in One Variable

For Teachers 9th - 10th Standards
The example of two travelers meeting somewhere along the road has been a stereotypical joke about algebra as long as algebra has existed. Here in this detailed presentation, this old trope gets a careful and approachable treatment....
Lesson Plan
Mathematics Assessment Project

Sorting Equations and Identities

For Teachers 9th - 12th Standards
Identify the identity. Learners first solve equations to find the number of solutions. Scholars then determine if given equations are always, sometimes, or never true, leading to the concept of identities.
Lesson Plan
Illustrative Mathematics

The Circle and The Line

For Teachers 8th - 12th Standards
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
Workbook
National Security Agency

Equations and Expressions

For Teachers 5th - 6th Standards
Learners demonstrate their knowledge pictorially, concretely, and abstractly in this unit meant to last three hours over three days. Using hands-on activities, manipulatives,  real-world applications, and problem...
Assessment
Charleston School District

Pre-Test Unit 5: Solving Equations

For Students 8th Standards
Your pupils just may know more than you think they do! A pre-test assesses their ability to solve and write equations. It includes simple quadratic and cubic equations as well. 
Worksheet
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Los Angeles Valley College

Solving Quadratic Equations Using the Quadratic Formula

For Students 9th - 12th Standards
Work your way through different quadratic equations with this problem solving resource. The worksheet has twenty problems of different difficulties to get your learners confident in solving these types of problems.
Lesson Plan
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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. 
Lesson Plan
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EngageNY

Solution Sets to Simultaneous Equations (part 2)

For Students 9th - 10th Standards
Do you want your budding mathematicians to be able to explain 'why' and not just 'do'? This lesson encourages an understanding of the process of elimination. Pupils are expected to understand how and why the elimination method is a valid...
Lesson Plan
Illustrative Mathematics

The Sign of Solutions

For Teachers 7th - 9th Standards
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...
Lesson Plan
West Contra Costa Unified School District

Solving Quadratic Equations – Alternative Methods

For Teachers 9th - 12th
There's more than one way to solve quadratic equations. Scholars learn how to solve quadratic equations using alternate methods. They use completing the square by making the linear coefficient even and the leading coefficient a perfect...
Lesson Plan
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Teach Engineering

Common and Natural Logarithms and Solving Equations

For Teachers 9th - 12th Standards
Log some practice with logarithms. A PowerPoint presentation provides a tutorial on the change of base formula involving natural logarithms and solving exponential equations with logarithms in the fourth installment of a seven-part...
PPT
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Henrico County Public Schools

Solving Systems of Equations Algebraically

For Teachers 9th - 12th Standards
Looking to review solving systems of equations algebraically? An educational slideshow presentation explains the methods of elimination and substitution, works through example problems, and provides practice problems. 
Lesson Plan
West Contra Costa Unified School District

Introduction to Solving Linear Inequalities in One Variable

For Teachers 8th - 10th Standards
Life isn't fair ... like inequalities. After first reviewing inequality symbols and how to read inequality statements, learners discover how to solve one-step inequalities and graph their solution sets.
Lesson Plan
EngageNY

Complex Numbers as Solutions to Equations

For Students 10th - 12th Standards
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex. 
Lesson Plan
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Illustrative Mathematics

The Intersection of Two Lines

For Teachers 7th - 9th Standards
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Lesson Plan
Illustrative Mathematics

Gotham City Taxis

For Teachers 6th - 8th Standards
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Worksheet
Kuta Software

Equations in Standard Form - Solving Systems by Graphing

For Students 9th - 12th Standards
Get to graphing and figure out the solution between two lines using this 14-problem worksheet. Graphs are provided for the first eight problems, but requires learners to graph the remaining six separately.
Lesson Plan
Virginia Department of Education

Solving and Graphing Inequalities

For Students 8th Standards
You can't go wrong with a lesson plan that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with...
Lesson Plan
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EngageNY

Solution Sets for Equations and Inequalities

For Students 9th - 10th Standards
How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....
Worksheet
Curated OER

Practice Makes Perfect

For Students 5th - 6th
In this solving for a variable worksheet, students use multiplication and division to solve problems. Students complete six problems by solving an equation.
Lesson Plan
Illustrative Mathematics

Paying the Rent

For Teachers 8th - 12th Standards
Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...
Lesson Plan
Mathematics Assessment Project

Comparing Lines and Linear Equations

For Teachers 8th Standards
Scholars first complete an assessment task on writing linear equations to model and solve a problem on a running race. They then take part in a card matching activity where they match equations and graphs of lines to diagrams of fluid...

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