What enduring understanding will students have? One can develop understanding of theorems of triangles through investigations, conjecturing and Triangles can be thought about in multiple ways making for a deeper understanding of its many possibilities. Common Core Content Standards in the Unit G.CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. GCO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, folding, dynamic geometric software, etc.). bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; Common Core Standards for Mathematical Practice The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important and proficiencies” with longstanding importance in mathematics education. The first “processes of these are the NCTM process standards of problem solving, reasoning and proof, communication, representation, and connections. The second are the strands of mathematical proficiency specified in the National Research Council’s report adaptive Adding It Up: reasoning, strategic competence, conceptual understanding (comprehension of mathematical concepts, operations and relations), procedural fluency (skill in carrying out procedures flexibly,
What enduring understanding will students have? One can develop understanding of theorems of triangles through investigations, conjecturing and Triangles can be thought about in multiple ways making for a deeper understanding of its many possibilities. Common Core Content Standards in the Unit G.CO.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. GCO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, folding, dynamic geometric software, etc.). bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; Common Core Standards for Mathematical Practice The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important “processes and proficiencies” with longstanding importance in mathematics education. The first of these are the NCTM process standards of problem solving, reasoning and proof, communication, representation, and connections. The second are the strands of mathematical proficiency specified in the National Research Council’s report Adding It Up: adaptive reasoning, strategic competence, conceptual understanding (comprehension of mathematical concepts, operations and relations), procedural fluency (skill in carrying out procedures flexibly,
World-of-Polygons.docx