912Geometry_CO_Reflections_Worksheet_ConstructCritique_Julia’sReflections

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

Casting Shadows is a task on similar triangles for geometry students. In the problem, one fourth grader knows his height and shadow length and wants to use similar triangles to determine another fourth grader’s height, when only knowing the shadow length. Students are to critique the proof given on the height of the other fourth grader and construct their own response, using a template, claim, evidence and warrants.

912Geometry_ParallelLines_Worksheet_Construct_ParallelLines

Parallel Lines is a task developed for geometry students studying properties of parallel and perpendicular lines. Students must be able to construct perpendicular lines, given a set of guidelines, and determine if the lines drawn are parallel. Students must construct an argument by stating a claim and providing evidence and support. The task offers a template for students to create an argument by providing sentence starters for each piece of the argument.

Microsoft Word version: 912Geometry_ParallelLines_Worksheet_Construct_ParallelLines

912Geometry_VertAngles_Worksheet_ConstructCritique_VerticalAngles

Vertical Angles is a task designed for geometry students learning about properties of angles and congruence. The task also works as a good exercise for students to critique arguments and determine what makes a good argument. The task looks specifically at two arguments that must prove why all vertical angles are congruent. Students must recognize that you need more than examples in order to prove a statement. Students are asked to contruct their own arguments after critiquing others.

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912Geometry_SuppAngles_Worksheet_Construct

This task is designed for geometry students to display knowledge of the properties of different angles. Students must be able to recognize what makes angles both supplementary and complementary. Given a complex visual of multiple intersecting lines and a select few angle measures, students must determine which angles are supplementary and be able to contruct an argument as to why angles are supplementary.

Microsoft Word version: 912Geometry_SuppAngles_Worksheet_Construct

912Algebra_IF_ParPerpLines_Worksheet_Construct_ParallelandPerpendicularMatchingActivity

This activity was used in an Algebra 2 classroom. The objective was for students to demonstrate how to determine if linear functions are parallel or perpendicular. The activity was developed for students to work in groups in a hands-on way while using multiple representations (graphs, equations, tables of values) of linear functions. First, students have to find the slope of each linear function then match them as parallel or perpendicular. This activity also serves as a review of how to find the slope from a graph, an equation and a table of values. Students are then given two specific linear functions and asked to show why they are either parallel, perpendicular or neither. The final task if for students to write a mathematical argument in which they must use the definitions of parallel and perpendicular lines to support their claim using the work they have previously done as their evidence.

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912Algebra_REI_LinearEquations_Worksheet_ConstructCritique

This task was used in an Algebra 2 class. The concept was solving linear equations. The objective was for students to write a mathematical argument that demonstrates their understanding of solving linear equations. Students are presented with the work of two students. Students are to write a mathematical argument that includes a claim, warrants, evidence and appropriate use of mechanics.

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912Algebra_REI_LinearEquations_Worksheet_ConstructCritique

This task is given to algebra students learning linear equations. Students are given a two-step equation to solve and a sample student’s solution. Argumentation language is used when asking students to explain the sample solution, create a claim, and provide evidence to defend their solution. Sentence starters are used to provoke the use the mathematical and argumentation language.

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912Algebra_REI_LinearEquations_Worksheet_ConstructCritique

This task is designed for algebra students to critique two approaches to solving the same linear equation. The common error addressed here is the order in which a student might approach solving an equation. Students are prompted to construct an argument by stating a claim as to which solution he or she agrees with, explaining why that claim is made, and addressing what went wrong in the other solution.

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912Algebra_REI_LinearEquations_Worksheet_ConstructCritique

This task was used in an Algebra 2 class. The objective was for students to demonstrate how to solve a two step equation by critiquing the work of another person. Students need to explain the reasoning behind the work shown and determine if it is correct or not. Students then need to make any corrections to the person’s work and provide evidence to support their answers.

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