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...
Concord Consortium
Integer Solutions
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.
Curated OER
Finding Satisfactory Solutions
Students decide where to locate ice cream stands in a town so that no one has to travel too far to buy a treat. The problem-solving strategies for this problem give students a chance to decide what makes a solution satisfactory.
CK-12 Foundation
Checking Solutions to Inequalities: Apples and Bananas Shopping Excursion
Go bananas over a fun interactive! Learners drag a point on a virtual graph of an inequality to see if it is a solution. This helps determine the possible numbers of apples and bananas a shopper can buy with a given amount of money.
Curated OER
Word Problem Solutions
In this word problem solutions worksheet, students solve and complete 5 different problems that include solving various types of word problems. First, they calculate the total cost and cost per students for the table shown. Then,...
Concord Consortium
"Equal" Equations
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
NASA
Resolving 3-Plane Traffic Conflicts by Changing Route—Problem Set C
Keep the planes from crashing. Pupils work with three airplanes and change their flight paths to keep them at a safe distance from each other. Individuals work through three problems in the third interactive in a set of six with...
101 Questions
Nana's Chocolate Milk
Nobody wants to make Nana mad! Help Mr. Meyer fix the chocolate milk he prepared for his Nana using too many scoops of chocolate. Youngsters develop a problem-solving strategy that leads to the solution using ratios and proportions.
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Curated OER
One-Variable Inequality Word Problems
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.
Balanced Assessment
Walkway
Evaluate different aspects of geometry with one task. An assessment activity prompts learners to determine the area of a pathway in the shape of a parallelogram. The Pythagorean Theorem and area formulas for various polygons provide the...
101 Questions
Nana's Lemonade
Consistency is the key. One lemon wedge per glass of water makes a nice glass of lemonade. Young scholars must identify the number of lemon wedges they need to make the same lemonade in a big gulp cup. They develop their own solution...
Under the Dome
Card House
Mathematics is stronger than a card house. Pupils watch a video of the beginning of the building of a triangular card house. Scholars come up with questions they wonder about from the video and ask for more information to arrive at an...
Illustrative Mathematics
Fishing Adventures 2
This resource is part of a series which expects participants to be familiar with graphing inequalities on a number line. It is a word problem that asks your class to graph a discrete solution set and interpret it in the context of an...
Sinclair Community College
Solving Linear Inequalities
Your learners will appreciate the complete picture of linear inequalities presented in this lesson plan. Starting simply with definitions and moving all the way to solving linear inequality word problems this activity is simple to follow...
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Math Stars
Math Stars: a Problem-Solving Newsletter Grade 8
You've just hit the jackpot of integrating math problems and riddles with this jumbo-sized resource! Written as a newsletter, scroll through 35 pages of puzzles and quality problems to engage and encourage your learners to inquire and...
Illustrative Mathematics
Video Game Credits
Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...
Illustrative Mathematics
Fractions on the Number Line
Fractions are a common fear in school, but visualizing them on a number line can help your learners understand their relationship to one another. The activity provides two solutions; use either a number line or a common denominator....
Illustrative Mathematics
Gotham City Taxis
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...
MARS, Shell Center, University of Nottingham
Defining Regions Using Inequalities
Your young graphers will collaboratively play their way to a better understanding of the solution set produced by the combining of inequalities. Cooperation and communication are emphasized by the teacher asking questions to guide the...
NASA
Resolving 2-Plane Traffic Conflicts by Changing Speed—Problem Set E
What do you do to change arrival times of airplanes when a different route is not available? The fifth interactive in a series of six presents problems where pupils must find solutions to conflicts of safety rules. They must decide how...
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...
Noyce Foundation
Miles of Tiles
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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