This is a worksheet designed for algebra students developing skills in the rules of exponents. The task works to develop a comprehensive understanding of the rules by asking students to critique samples of student work that address common errors. Students are also asked to think critically about how order of operations might affect the result when simplifying exponential expressions. This worksheet would be best used when students have a strong knowledge of exponents, so that they are able to recognize errors, rather than believe them to be true.

Microsoft Word version: 912Algebra_SSE_Exponents_Worksheet_Critique

PDF version: 912Algebra_SSE_Exponents_Worksheet_Critique


Transformation Homework Mixed Practice is a task on transformations for geometry students. Through a series of questions, students are to construct an argument on how to get from a pre-image to an image and to critique the work of other students determining how to obtain an image. Argumentation language is used in the final question when asking students to critique work and justify their responses.

Microsoft Word version: 912Geometry_CO_Transformations_Homework_ConstructCritique_TransformationsHomework-MixedPractice

PDF version: 912Geometry_CO_Transformations_Homework_ConstructCritique_TransformationsHomework-MixedPractice


This task is designed for geometry students developing skills with special triangles, specifically 30-60-90. Students are asked to critique student work that finds the length of the triangle’s hypotenuse and construct an argument either agreeing or disagreeing with the student work. The student work addresses a common error that students make when finding the hypotenuse of a 30-60-90 triangle. Students use the length of the shorter leg and double it in order to find the hypotenuse, but this student uses the wrong leg in his calculations.

Microsoft Word version: 912Geometry_SRT_SpecialRightTriangles_Worksheet_ConstructCritique_30-60-90Go

PDF version: 912Geometry_SRT_SpecialRightTriangles_Worksheet_ConstructCritique_30-60-90Go


This exit slip is designed for geometry students working on finding missing angles. Students are provided with a set of parallel lines and a transversal and a couple of angle measures. With the given information, students must find measures of missing angles using knowledge of parallel lines and transversals and the postulates and theorems that come with them. Students are also asked to critique student work and provide a reason as to why a proof does not receive full credit. The proof addresses the common error students make in not identifying that lines are parallel before using definitions such as alternate interior angles.

Microsoft Word version: 912Geometry_ParallelLines_ExitSlip_ConstructCritique_ExitSlip-ParallelLinesandTransversals

PDF version: 912Geometry_ParallelLines_ExitSlip_ConstructCritique_ExitSlip-ParallelLinesandTransversals


Firing on all Cylinders is a task designed for geometry students to find the volume of a cylinder in cubic inches. Students are given a word problem, where they know the radius and height of a can, and is shown work determining the volume. With the use of argumentation language, students are asked to use a sentence starter to critique the work, create a claim, provide evidence and warrants.

Microsoft Word version: 912Geometry_GMD_Volume_Worksheet_ConstructCritique_FiringonallCylinders

PDF version: 912Geometry_GMD_Volume_Worksheet_ConstructCritique_FiringonallCylinders


This task is geared towards geometry students with knowledge of the pythagorean theorem and an understanding of simplifying radicals. Students are asked to critique student interpretations of a problem. Ultimately, the task assesses the student’s ability to simplify radicals and recognize equivalence between different radical expressions. Students are asked to construct an argument by stating a claim and providing supporting evidence.

Microsoft Word version: 912Geometry_SRT_PythagoreanTheorem_Worksheet_ConstructCritique_TotallyRadical

PDF version: 912Geometry_SRT_PythagoreanTheorem_Worksheet_ConstructCritique_TotallyRadical


In Ice Cream Engineers, geometry students are given the dimensions of a cone and must critique a solution for finding the surface area of the closed cone. Students are asked, through argumentative language and questions, to construct an argument using evidence to support their claim on the solution. Ice Cream Engineers applies knowledge of calculating surface area, using Pythagorean theorem to find a missing side length, and critiquing another student’s claim.

Microsoft Word version: 912Geometry_SurfaceArea_Worksheet_ConstructCritique_IceCreamEngineers

PDF version: 912Geometry_SurfaceArea_Worksheet_ConstructCritique_IceCreamEngineers


The World’s Most Boring Sculpture is a worksheet used in geometry classes. Students must critique calculations made by someone about the surface area of a rectangular prism. The calculations address a common error in which students only find the area of each different face, and fail to acknowledge how many faces are on the figure. Students are asked to create an argument by stating a claim and providing supporting evidence.

Microsoft Word version: 912Geometry_SurfaceArea_Worksheet_ConstructCritique_TheWorldsMostBoringSculpture

PDF version: 912Geometry_SurfaceArea_Worksheet_ConstructCritique_TheWorldsMostBoringSculpture


Not in my Backyard is a task developed for geometry students learning about similar triangles. The task asks students to critique a student’s argument that two triangles are similar. Students must construct an argument and the task uses argumentation language including claim and evidence. The task suggests having students use the argument writing frame first, then constructing the argument. The task addresses a common misconception about similar triangles, that if you add the same number to each side and get the other triangle, then triangles are similar. Students must know the difference between proportions and differences.

Microsoft Word version: 912Geometry_SRT_SimilarTriangles_Worksheet_ConstructCritique_NotinmyBackyard

PDF version: 912Geometry_SRT_SimilarTriangles_Worksheet_ConstructCritique_NotinmyBackyard


Julia’s Reflections is a task used in geometry classes when working with geometric reflections within the coordinate plane. This worksheet has students using knowledge about reflections and transformations on the coordinate grid to critique an argument about how the reflection over the line y=x transforms a figure. Students must write an argument that either agrees with or disagrees with the statement given on the worksheet.

Microsoft Word version: 912Geometry_CO_Reflections_Worksheet_ConstructCritique_JuliasReflections

PDF version: 912Geometry_CO_Reflections_Worksheet_ConstructCritique_JuliasReflections