This task is created for algebra students learning linear inequalities. A word problem and inequality derived from the problem are given, along with three sample solutions. The work helps to correct misconceptions on understanding what the inequality means, how to translate it into words, and how to change the inequality sign. Students are to critique each sample solution and provide a claim, evidence, and warrants.

Microsoft Word version: 912Algebra_REI_LinearInequalities_Worksheet_Critique

PDF version: 912Algebra_REI_LinearInequalities_Worksheet_Critique


This exit slip is created for algebra students to determine knowledge of linear inequalities. Through four problems, students are to write, solve, and graph each question. The problems address creating an inequality from a statement and increase in difficulty.

Microsoft Word version: 912Algebra_REI_LinearInequalities_ExitSlip_ExitSlip

PDF version: 912Algebra_REI_LinearInequalities_ExitSlip_ExitSlip


A template of the talk frame was used to plan a lesson for algebra students learning about radical equations. Students are given two equations, one with a radical, and need to determine when they intersect and what methods were used by the sample responses. In the Think section, the teacher recorded possible ways the scenario could be reworded, methods used to solve the problem are discussed in the Talk Idea section, and the We Understand section addresses the realization that extraneous solutions need to be checked and how to find such solutions.

Microsoft Word version: 912Algebra_REI_RadicalEquations_LessonPlan_TalkFrameModel-ExtraneousSolutions

PDF version: 912Algebra_REI_RadicalEquations_LessonPlan_TalkFrameModel-ExtraneousSolutions


This task was designed for 9th-12th graders in Algebra 2 to understand the concept of extraneous solutions and the intersection of a radical equation with a linear equation. The task was used to introduce the idea of extraneous solutions. Students already knew how to solve a system of equations. Students struggled to see that not all solutions found algebraically worked but could recognize graphically that there was only one solution. The task required them to defend someone’s solution.

Microsoft Word version: 912Algebra_REI_RadicalEquations_Worksheet_Construct_SolvingRadicalEquations

PDF version: 912Algebra_REI_RadicalEquations_Worksheet_Construct_SolvingRadicalEquations


Multi-Step Equations is created for algebra students studying linear equations. Students are given a multi-step linear equation, involving addition and division, and must critique the three solutions provided. In paragraph sentence starters, students are must create a claim and an argument as to why the student responses are correct or incorrect. Argumentative language is used through the sentence starters and questions by asking students to defend a claim and provide evidence to explain mistakes.

Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_Multi-StepEquations

PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_Multi-StepEquations