New York City Department of Education
Dance and Text
Use texts and dances to teach inequalities and equations. A sixth-grade unit covers using variables in equations and inequalities to solve problems. Learners show what they know at the end of the unit using two performance tasks, one...
CK-12 Foundation
And and Or Statements: Number Lines
Compound statements are actually quite simple. A virtual interactive provides a means to graph solution sets to compound statements involving and and or. Users then answer a few challenge questions on these solution sets.
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.
CK-12 Foundation
Systems of Linear Inequalities: Baking Cookies
Cook up a good resource for systems of linear inequalities. Using an interactive, individuals graph a system of linear inequalities to represent constraints on the number of cookies a person must bake. A set of challenge questions...
CK-12 Foundation
Absolute Value Inequalities: The Nuts and Bolts of Allowable Error
Explore the nuts and bolts of absolute value inequalities using nuts and bolts. Pupils use an interactive to see how the minimum and maximum radii of a nut-and-bolt combination change based on the target radius and the allowable error....
CK-12 Foundation
Inequality Expressions: Inequality Graph
Don't let inequalities be a drag. As young mathematicians drag the endpoint of the graph of an inequality in an interactive, the algebraic form of the inequality changes. This helps them see how the graph connects to the inequality.
CK-12 Foundation
Linear Inequalities in Two Variables
Take the tediousness out of finding solutions of inequalities by graphing. Individuals use an interactive that allows them to adjust a system of inequalities on a coordinate plane. Using the interactive helps find solutions to systems of...
Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
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 lesson are of the form x < c or x < c.
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
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
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...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Mathematics Vision Project
Module 2: Systems of Equations and Inequalities
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
Curated OER
Intersecting Graphs
Ninth graders know how to solve a system of linear equations, but what happens when the system involves an exponential function? The instructional slideshow teaches viewers to determine solutions to systems of equations with linear and...
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
Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
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...
Curated OER
Linear Inequalities
High schoolers 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
Solving Inequalities
In this solving inequalities worksheet, students solve and complete 30 various types of problems. First, they combine like terms by adding or subtracting a number from both sides of the inequality. Then, students write the answer on the...
Curated OER
Solving Inequalities
In this solving inequalities worksheet, 9th graders solve and complete 10 different problems that include various inequalities. First, they add any positive or negative number to both sides of the sign. Then, students multiply or divide...
Curated OER
Open Sentences
For this open sentences worksheet, learners solve and complete 10 different problems related to identifying various types of open sentences. First, they state whether each equation is true or false for the value of the variable given....
Curated OER
Solving Compound Inequalities
In this compound inequalities worksheet, 9th graders solve and complete 7 different problems that include graphing various inequalities on a number line given. First, they graph the solution set of each compound inequality. Then,...
Curated OER
Tables and Relations
For this tables and relations worksheet, 9th graders solve and complete 13 various types of problems that include graphing. First, they solve each equation for the given variable. Then, students determine the ordered pairs that are...