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5-GM-1-1

Page history last edited by Brenda Butz 6 years, 2 months ago

5.GM.1.1 Describe, classify and construct triangles, including equilateral, right, scalene, and isosceles triangles. Recognize triangles in various contexts.

In a Nutshell

In objective 5.GM.1.1, students will use their knowledge of how to measure and compare angles to help classify and construct triangles. They will use these skills to classify and recognize different types of triangles in the real world. In fourth grade, they identify angles and know what triangles are, but their focus is on quadrilaterals. In fifth grade wel extend their knowledge by classifying triangles by more specific names: right, equilateral, scalene, and isosceles.

Student Actions	Teacher Actions
Develop a Deep and Flexible Conceptual Understanding by drawing and constructing triangles and classifying them based on identifying attributes. Develop a Deep and Flexible Conceptual Understanding by exploring geometric ideas and relationships and applying them to other disciplines and to problems that arise in the classroom or in everyday life. Develop the Ability to Communicate Mathematically by engaging in discussion about their reasoning using appropriate mathematical language including attributes and names associated with angles and triangles.	Use and connect mathematical representations by modeling various triangles and ask students to name and describe each of the models according to particular attributes of equilateral, right, scalene, and isosceles triangles. Also have students understand the ideas of acute and obtuse angles and how they relate to the triangles in this objective. Facilitate meaningful mathematical discourse by providing examples and non-examples for students to discuss, even if students are not ready to specifically name the non-example. Support productive struggle in learning mathematics by providing students access to materials so they may represent triangle attributes using concrete materials, pictures, diagrams words and symbols.
Key Understandings	Misconceptions
Describe triangles based on their properties. Recognize triangles in various contexts define equilateral, right, scalene, and isosceles triangles. Use a straightedge and a protractor to construct triangles.	Believe all shapes with three sides are only classified as triangles. Think angle size is dependent on the length of the rays. Think if you change the orientation of the triangle it’s properties change.