EngageNY
Solution Sets for Equations and Inequalities
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....
EngageNY
Solution Sets of Two or More Equations (or Inequalities) Joined by “And” or “Or”
English and math have more in common than you think. Make a connection between a compound sentence and a compound inequality with an activity that teaches learners the difference between an "and" and "or" inequality through solutions...
EngageNY
Writing and Graphing Inequalities in Real-World Problems
Inequalities: when one solution just doesn't suffice. Individuals learn to write inequalities in real-world contexts and graph solution sets on the number line. All inequalities in the instructional activity are of the form x < c or x...
EngageNY
Solution Sets to Equations with Two Variables
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...
Curated OER
Nine Exercises Identifying Solution Sets to Systems of Inequalities
In this inequality worksheet, students examine graphs of functions and describe the solution set. Explanations and examples are provided. This one-page interactive, multiple choice, worksheet contains nine problems.
Curated OER
Goal-O Bingo
While playing a long-term game of Goal-O Bingo, your class will practice replacing unkind words with kind ones. First, read Casey and Amazing Giant Green Shirt by Margaret Ross. Then have your class write down 25 goals they would like to...
Curated OER
Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Curated OER
How Much Folate?
This task includes scaffolding to support the introduction of the writing and graphing of linear inequalities. Then your geometry learners discover that writing down all possible combinations is not feasible so they are led to use...
EngageNY
Classification of Solutions
Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions for a...
EngageNY
Nature of Solutions of a System of Linear Equations
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...
EngageNY
Solutions to Polynomial Equations
Take a step back to Algebra II. The first instructional activity in a series of 23 asks scholars to remember working with quadratic equations with complex solutions. Pupils apply polynomial identities to complex numbers and work examples...
EngageNY
Solution Sets to Inequalities with Two Variables
What better way to learn graphing inequalities than through discovering your own method! Class members use a discovery approach to finding solutions to inequalities by following steps that lead them through the process and even include...
EngageNY
The Graph of the Equation y = f(x)
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
Curated OER
WS 8.2 Formation of Solutions
In this solutions learning exercise, students answer questions about the solubility of various substances in solvents such as oil in water and nitrogen gas in helium. They draw water molecules to show bonding between them and they...
Illustrative Mathematics
Setting Goals
Setting financial goals is a common occurrence in middle school that your learners can practice using this activity. They will be able to solve for how many hours Seth needs to work to save up for a skateboard, helmet, and trip. The...
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...
CK-12 Foundation
Checking Solutions to Inequalities: Ordering Roses
It's important to have the correct number of flower arrangements at a wedding. Scholars match an inequality and a graph given a situation involving roses for wedding receptions. A set of challenge questions checks the matching pairs.
Curated OER
Equations as Relations
In this equations as relations worksheet, 10th graders solve and graph 9 different problems that include determining various ordered pairs. First, they determine the ordered pairs that are solutions to each equation. Then, students solve...
Curated OER
Linear Inequalities
Young scholars explore how to graph a linear inequality. They determine if a point is in the solution set. Students solve linear inquality application problems. They graph linear equations, and solve linear equations for a given variable.
Curated OER
Quadratic Inequalities
In this quadratic inequalities worksheet, 9th graders solve and graph 10 different problems that include various forms of inequalities. First, they solve each equation shown algebraically. Then, students state the solution set of the...
CK-12 Foundation
Applications of Linear Systems: Alcohol Solution in Nursing
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...
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Virginia Department of Education
The Colligative Properties of Solutions
How can you relate colligative properties of solutions to everyday situations? Pupils first discuss the concepts of density, boiling and freezing points, then demonstrate how to accurately determine the boiling and freezing point of...
Concord Consortium
Same Solution Equations
Group equations by their solutions. Given six different equations, pupils determine which have the same solutions. Scholars explain why some are the same and some are different.