construct

912Geometry_TriangleParts_Assessment_Construct_PerformanceTask–PartsofaTriangle

This performance task on parts of a triangle was given to geometry students. This 15 question multiple-choice and short answer assessment queries students on their knowledge of measurements of internal angles, definitions and classifications, scale factors, finding missing side lengths and angle amounts, and ending in a three part question involving medians. Students are to construct answers and solutions to the variety of material presented.

Microsoft Word version: 912Geometry_TriangleParts_Assessment_Construct_PerformanceTask-PartsofaTriangle

PDF version: 912Geometry_TriangleParts_Assessment_Construct_PerformanceTask-PartsofaTriangle

912Geometry_CO_TriangleCongruence_Assessment_Construct_PerformanceTask–CongruentTriangles

This task was used as a performance task during our congruent triangles unit. The overall objective was for students to be able prove congruent triangles and classify triangles. This task was given towards the end of our congruent triangles unit either before or after the unit assessment. Students seemed to understand what the task was asking them to do, and the majority of students were able to answer the questions appropriately. Students did struggle on part f where they had to explain the classification of the triangle described.

Microsoft Word version: 912Geometry_CO_TriangleCongruence_Assessment_Construct_PerformanceTask-CongruentTriangles

PDF version: 912Geometry_CO_TriangleCongruence_Assessment_Construct_PerformanceTask-CongruentTriangles

912Geometry_CO_TriangleCongruence_Warmup_Construct_CongruencePostulates

This warm up is created for geometry students learning triangle congruence postulates. Students are given two problems, one with two triangles that share a side and one with two separate triangles. The questions contain argumentation language and ask students to construct an argument determining if the triangles are congruent.

Microsoft Word version: 912Geometry_CO_TriangleCongruence_Warmup_Construct_CongruencePostulates

PDF version: 912Geometry_CO_TriangleCongruence_Warmup_Construct_CongruencePostulates

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.

Microsoft Word version: 912Algebra_IF_ParPerpLines_Worksheet_Construct_ParallelandPerpendicularMatchingActivity1

PDF version: 912Algebra_IF_ParPerpLines_Worksheet_Construct_ParallelandPerpendicularMatchingActivity_1

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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.

Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique

PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique

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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.

Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_5

PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_5

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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.

Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_4

PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_4

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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.

Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_3

PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_3

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912Algebra_REI_LinearEquations_Worksheet_ConstructCritique

This task was presented to students in an Algebra 2 class. The objectives were for students to solve a two step equation and critique the work of others using evidence to defend their answers. It was used at the beginning of the school year when we began to play with the idea of writing mathematical arguments.

Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_2

PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_2

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912Algebra_REI_LinearEquations_Worksheet_ConstructCritique

This task was used in an Algebra 2 class. The objective was for students to demonstrated 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.

Microsoft Word version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_1

PDF version: 912Algebra_REI_LinearEquations_Worksheet_ConstructCritique_1

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