912Geometry_AngleBisector_Warmup_Construct_AngleBisectorWarmup

This warm up is designed for geometry students learning about angle bisectors. A picture of a segment bisecting an angle is given, along with five choices for setting up the equation to solve for the measure of each angle. A word bank and a sentence starter are provided to aid in the construction of an argument determining how to solve for the variable. Students are asked to create a claim and use prior knowledge as evidence to support the argument.

Microsoft Word version: 912Geometry_AngleBisector_Warmup_Construct_AngleBisectorWarmup

912Geometry_ClassifyTrianglesMidpoint_Warmup_Construct

This task is used as a warmup in geometry classes. The task focuses on classifications of triangles, and the postulates that come with the relationships between side lengths and angles. One problem asks students to construct an argument about scalene triangles and their angles. Students are also asked to find the midpoint of a line segment on a coordinate plane.

Microsoft Word version: 912Geometry_ClassifyTrianglesMidpoint_Warmup_Construct_1

912Geometry_ClassifyTrianglesMidpoint_Warmup_Construct

This warm up is created for geometry students learning about triangles. There are three problems, one asking students to find the midpoint of a segment on a coordinate plane, another asking students to construct an argument to justify a claim, and another asking students to classify triangles. Argumentation language is used in the first two problems, encouraging the use of evidence.

Microsoft Word version: 912Geometry_ClassifyTrianglesMidpoint_Warmup_Construct

912Geometry_SRT_SpecialRightTriangles_ExitSlip_Construct_PythagoreanTheoremandSpecialRightTrianglesExitSlip

This task was used as an exit slip for our special right triangles unit. The overall objective was for students to be able to label side lengths in special right triangles and articulate how they know the lengths. Students struggled defending their answers for the side lengths since they talked about how they were using their special right rules so “it has to be true”.

912Geometry_CO_Transformations_Homework_ConstructCritique_TransformationsHomework–MixedPractice

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.

912Geometry_SRT_SpecialRightTriangles_Worksheet_ConstructCritique_30-60-90Go!

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

912Geometry_SRT_SpecialRightTriangles_Warmup_Construct_SpecialRightTrianglesWarmup

This warm up is created for geometry students studying special right triangles. In two examples, students are given a side length and an angle measurement and must find the other two side lengths. Students are to construct an argument defending one of their side lengths in the final problem.

Microsoft Word version: 912Geometry_SRT_SpecialRightTriangles_Warmup_Construct_SpecialRightTrianglesWarmup_1

912Geometry_SRT_SpecialRightTriangles_Worksheet_Construct_SpecialRightTriangles

This task is designed for geometry students with a strong knowledge of special right triangles. Students are given a large triangle that is split into two triangles and are asked to determine different side lengths given just one side length and three angles. Students must recognize missing angles and identify the special triangles, while also knowing the proportions of the side lengths. The task asks for a mathematical argument that convinces others of the answer.

Microsoft Word version: 912Geometry_SRT_SpecialRightTriangles_Worksheet_Construct_SpecialRightTriangles

912Geometry_SRT_SpecialRightTriangles_Warmup_Construct_SpecialRightTrianglesWarmup

This warm up is created for geometry students studying special right triangles. In two examples, students are given a side length and an angle measurement and must find the other two side lengths. Students are to construct an argument defending one of their side lengths in the final problem.

Microsoft Word version: 912Geometry_SRT_SpecialRightTriangles_Warmup_Construct_SpecialRightTrianglesWarmup