Standard 2: Write and solve equations and inequalities in one variable.

Students are asked to solve two equations involving rational numbers.

Type: Formative Assessment

Students are asked to write and solve a two-step equation to model the relationship among variables in a given scenario.

Type: Formative Assessment

Students are asked to write and solve an equation of the form p(x + q) = r in the context of a problem about the perimeter of a square.

Type: Formative Assessment

Students are asked to compare an arithmetic solution to an algebraic solution of a word problem.

Type: Formative Assessment

Students will calculate sales tax to plan a family vacation budget. Through collaborative learning activities and discussions, students will understand the concept of sales tax as a civic responsibility and recognize the importance of considering sales tax in their financial planning to contribute to their community’s public service and infrastructure in this integrated lesson plan.

Type: Lesson Plan

This is the final lesson in a 3-lesson unit. In this lesson, students will review the Electoral College by debugging and improving upon a Scratch simulation of a presidential election map. Students will also apply their knowledge of variables and inequalities through the debugging process.

Type: Lesson Plan

This is lesson 2 of a 3-lesson unit. In this lesson, students learn about how variables and inequalities are used in both math and computer science through the exploration of how a win/loss is calculated in an Electoral College model/simulator.

Type: Lesson Plan

This lesson allows students to solve two-step equations involving a mythological story line in which the princess (variable) is protected by a bodyguard (number added or subtracted in an equation) and by a protector (number multiplied or divided by the variable). The three characters live in a castle, surrounded by the moat (equal sign) and an innocent bystander that lives outside the castle (number on the opposite side of the variable). However, Ninjas are infiltrating the castle to steal the “valuable” princess. Using this story line, students must then decide who the Ninja must eliminate first to get to the princess. This lesson can also be used to solve equations with like terms on the same side and equations with the same variable on each side.

Type: Lesson Plan

This lesson is designed to assist in teacher facilitation of student understanding related to the concept of translating between verbal and algebraic two-step equations. 

Type: Lesson Plan

The principal of Central Middle School is thinking of adding pizza to the lunch menu on Mondays and Fridays but needs help deciding the costs per slice and what students think is important about the pizza. After the students' initial decision about the pizza the principal remembers that there is a delivery charge.The students must revisit their decision and do additional calculations to see if their original process still works.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

In this lesson, students will learn how to write and solve linear equations that have one solution, infinitely many solutions, and no solutions. As the students decipher word problems, they will recognize which elements of equations affect the number of possible solutions. This lesson is guided by a PowerPoint presentation.

Type: Lesson Plan

Students will use manipulatives (pennies and post-its) to model solving one-variable equations.

Type: Lesson Plan

In this lesson, students will work with Algebra Tiles to solve inequalities. This lesson builds upon student experience with solving equalities, as well as identifying inequalities and representing them on the number line. This lesson is an introduction to solving inequalities.

Type: Lesson Plan

Students will recognize that while the surface area may change, the volume can remain the same. This lesson is enhanced through the multimedia CPALMS Perspectives Video, which introduces students to the relationship between surface area and volume.

Type: Lesson Plan

This lesson unit is intended to help you assess how well students are able to:

• Solve linear equations in one variable with rational number coefficients.
• Collect like terms.
• Expand expressions using the distributive property.
• Categorize linear equations in one variable as having one, none, or infinitely many solutions.

It also aims to encourage discussion on some common misconceptions about algebra.

Type: Lesson Plan

Students will learn how to write inequalities through guided practice, cooperative learning, and comparing the solutions of inequalities to those of equations.

Type: Lesson Plan

Practice solving and checking two-step equations with rational numbers in this interactive tutorial.

This is part 2 of the two-part series on two-step equations. Click HERE to open Part 1.

Type: Original Student Tutorial

Professor E. Qual will teach you how to solve and check two-step equations in this interactive tutorial. 

This is part 1 of a two-part series about solving 2-step equations. Click HERE to open Part 2.

Type: Original Student Tutorial

Use models to solve balance problems on a space station in this interactive, math and science tutorial. 

Type: Original Student Tutorial

Meteorologist, Michael Kozar, discusses the limitations to existing hurricane scales and how he is helping to develop an improved scale.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

<p>Submerge yourself in math as a hydrogeologist describes calculations used to investigate water flow questions related to ancient shell rings.</p>

Type: Perspectives Video: Expert

Unlock an effective teaching strategy for teaching solving equations using zero pairs in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

If you are having trouble understanding variables, this video might help you see the light.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Teaching Idea

This problem asks the students to represent a sequence of operations using an expression and then to write and solve simple equations. The problem is posed as a game and allows the students to visualize mathematical operations. It would make sense to actually play a similar game in pairs first and then ask the students to record the operations to figure out each other's numbers.

Type: Problem-Solving Task

This task could be put to good use in an instructional sequence designed to develop knowledge related to students' understanding of linear functions in contexts. Though students could work independently on the task, collaboration with peers is more likely to result in the exploration of a range of interpretations.

Type: Problem-Solving Task

This video shows how to construct and solve a basic linear equation to solve a word problem.

Type: Tutorial

The video will solve the inequality and graph the solution.

Type: Tutorial

Based upon the definition of speed, linear equations can be created which allow us to solve problems involving constant speeds, time, and distance.

Note: This video exceeds basic expectations for the mathematical concept(s) at this grade level. The video is intended for students who have demonstrated mastery within the scope of instruction who may be ready for a more rigorous extension of the mathematical concept(s). As with all materials, ensure to gauge the readiness of students or adapt according to student's needs prior to administration.

Type: Video/Audio/Animation

The video explains the process of creating linear equations to solve real-world problems. 

Type: Video/Audio/Animation