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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...
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Handout
Charleston School District

Solving Equations with Infinite or No Solutions

For Students 8th - 9th Standards
Where did all the variables go? Scholars learn how to interpret an equation when they eliminate all variables during the solving process. They interpret the solution as infinite solutions or no solutions. 
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Worksheet
Curated OER

One-Variable Inequality Word Problems

For Students 7th - 9th Standards
Here is a great set of eight scenarios that require the writing of a one-variable inequality and then solving to find the solution. This inequality word problem activity is then followed by the solutions to each of the eight problems.
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Assessment
Concord Consortium

Integer Solutions

For Students 7th - 10th Standards
Experiment with integer relationships. Young scholars consider integers that have a sum of 10. They begin with two integers, then three, four, and more. As they consider each situation, they discover patterns in the possible solutions.
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Worksheet
1
1
Jesuit High School

Geometry Sample Problems

For Students 8th - 11th Standards
I'd like to prove that this instructional activity has a lot to offer. Seven problems using triangles and parallelograms practice the traditional method of a two-column proof. After the instructional activity is some practice problems...
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Worksheet
Curated OER

Problem Solving Decisions: Choose a Method

For Students 5th - 8th
Walk your scholars through the process of finding percentages using this problem-solving worksheet! A word problem asks students to figure out how many pieces of a puzzle are left, if the completed 750 pieces make up 60% of the total....
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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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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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AP Test Prep14:45
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Flipped Math

Calculus AB/BC - Verifying Solutions for Differential Equations

For Students 10th - 12th
Find out if it is truly the solution. An informative presentation provides viewers with multiple examples of finding the particular solution to a differential equation. Learners find out how to verify the solution by differentiating the...
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AP Test Prep11:30
1
1
Flipped Math

Calculus AB/BC - Particular Solutions using Initial Conditions and Separation of Variables

For Students 10th - 12th
Take the next step in separating. Pupils pick up from the previous lesson to now find the particular solution of a differential equation at a given point. Scholars watch three examples of finding the particular solution and hear the...
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AP Test Prep12:31
1
1
Flipped Math

Calculus AB/BC - General Solutions Using Separation of Variables

For Students 10th - 12th
Viewers to learn how to solve a differential equation written implicitly. Pupils find out that they must first separate the variables to take the integral of each side before solving for y to arrive at a general solution for the...
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Activity
Beauty and Joy of Computing

Unsolvable and Undecidable Problems

For Teachers 9th - 12th
Try as you might, some functions just cannot be computed. The lab introduces the class to the possibility of unsolvable problems. The fourth lesson in a series of seven begins with a logic problem, then progresses to looking at functions...
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Lesson Plan
EngageNY

Problem Solving and the Coordinate Plane

For Students 6th Standards
Class members investigate rectangles on the coordinate plane. They determine the length of line segments in the coordinate plane with the same x-coordinate or same y-coordinate and then solve geometric problems involving perimeter and...
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Worksheet
Scholastic

Problem-Soving Strategies, Practice 1: Sample

For Teachers 2nd - 5th
A variety of word problems help your learners examine the ways that they find solutions. Each question provides opportunities to add, subtract, and multiply time, measurements, and money.
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Interactive
CK-12 Foundation

Problem Solving Plan, Mental Math: The Perfect Lemonade 2

For Students 7th - 10th
Drink in this resource. Young problem solvers investigate a different way of looking at the problem of filling four liters of water from a three-liter cylinder and a five-liter cylinder. Isometric grids help with this understanding.
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Lesson Plan
Kenan Fellows

Solutions

For Teachers 9th - 12th Standards
Scientists require specific chemical solutions for their experiments. In the seventh and final installment in a series that integrates chemistry and algebra II, scholars learn to set up a system of equations to solve the volume of a...
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PPT
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BW Walch

Solving Systems of Linear Inequalities

For Teachers 9th - 10th Standards
One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those...
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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....
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PPT
BW Walch

Creating Linear Inequalities in One Variable

For Teachers 9th - 10th Standards
Just when a young mathematician starts to feel comfortable turning word problems into linear equations, shake things up and throw inequalities in the mix. This excellent, instructive presentation takes the steps for solving an equality...
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Lesson Plan
NPR

Communicate the Solution

For Teachers 6th - 8th Standards
Communication is key. Scholars produce videos to highlight their engineering solutions to the plastic problem in the ninth installment of the series of 10. Feedback from other groups lets them improve the videos.
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Lesson Plan
NPR

Brainstorm and Evaluate Solutions

For Teachers 6th - 8th Standards
May the best idea win. In groups, scholars brainstorm solutions to the problem statement developed in the previous lesson. The best idea moves forward to the prototype stage.
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AP Test Prep12:48
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1
Flipped Math

Calculus AB/BC - Solving Optimization Problems

For Students 10th - 12th
Move beyond setting up equations. Pupils continue with optimization problems and use their knowledge of derivatives to find solutions. They watch as the video uses equations from previous examples and find solutions to answer specific...
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Lesson Plan
Curated OER

Word Problems Solved By S.M.S.

For Teachers 8th - 10th
Learners solve word problems with a consumer math emphasis. This lesson plan also contains many strategies and questions learners can ask to solving problems.  There is also a bibliography included for resources on problem solving.
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Lesson Plan
Curated OER

Problem Solution Writing

For Teachers 6th - 12th
Pupils, after brainstorming possible problem solving activities, choose from one of the many and write what the problem is and a solution to solve it.

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