Determine whether parallelograms are rectangles Recognize and apply the properties of rhombi and squares Determine whether quadrilaterals are rectangles, rhombi, or squares Apply properties of trapezoids and kites Focus Standards Addressed in this Unit: CC.2.3.HS.A.3 – Verify and geometric theorems as they relate to geometric figures CC.2.3.HS.A.11 – coordinate geometry to prove simple geometric theorems algebraically CC.2.3.HS.A.13 – Analyze relationships between two-dimensional and three-dimensional objects Important Standards Addressed in this Unit: CC.2.3.HS.A.14 – geometric concepts to model and solve real-world problems Misconceptions: All quadrilateral properties apply to squares but not all square properties apply to other quadrilaterals Concepts/Content: Angles of Polygons Parallelograms and Tests for Parallelograms Rectangles, Rhombi, Squares, Trapezoids, and Kites Competencies/Skills: Find and use the sum of the measures of the interior and exterior angles of a polygon Recognize and apply properties of quadrilaterals Compare quadrilaterals Description of Activities: Direct teacher-led instruction Large group Q & A discussion Independent student work Small group collaboration Online remedial/enrichment videos Assessments: informal questioning in-class formative assessments review of homework periodic quizzes unit test Interdisciplinary Connections: N/A Additional Resources: Glencoe Geometry Textbook USA TestPrep
Parts of Similar Triangles Scale Drawings and Models Identify and apply similarity transformations. Use scale models and drawings to solve problems. Online remedial/enrichment videos Assessments: informal questioning in-class formative assessments review of homework periodic quizzes unit test Interdisciplinary Connections: N/A Additional Resources: Glencoe Geometry Textbook USA TestPrep Subject: Geometry Grade: 9-12 Suggested Timeline: 4 weeks Unit Title:
Triangles and Trigonometry Unit Overview/Essential Understanding: Students will: Use and extend similarity properties to explore and justify conjectures about geometric figures Derive, extend, and use the Pythagorean Theorem Identify and apply patterns from right triangles to solve meaningful problems, including, special right triangles (45-45-90 and and triangles with sides that are Pythagorean triples Develop, apply, and justify triangle similarity relationships, such as trigonometric ratios using a variety of methods Unit Objectives: At the end of this module, students will be able to independently use their learning to: Use the Pythagorean Theorem Use the Converse of the Pythagorean Theorem Use the properties of 45-45-90 triangles Use the properties of 30-60-90 triangles Find trigonometric ratios using right triangles Use trigonometric ratios to find measures in triangle Focus Standards Addressed in this Unit: CC.2.2.HS.C.9 – Prove the Pythagorean Identity and use it to calculate trigonometric ratios CC.2.3.HS.A.7 – Apply trigonometric ratios to solve problems involving right triangles Important Standards Addressed in this Unit: CC.2.3.HS.A.14 – Apply geometric concepts to model and solve real-world problems Misconceptions: Trig ratios only apply to right triangles Concepts/Content: The Pythagorean Theorem and Its Converse Special Right Triangles Trigonometry Competencies/Skills: Use the Pythagorean Theorem Use properties of special right triangles Use trigonometry to find missing measures of triangles Description of Activities: Direct teacher-led instruction Large group Q & A discussion Independent student work group collaboration Online remedial/enrichment videos Assessments: informal questioning in-class formative assessments review of homework periodic quizzes unit test Interdisciplinary Connections: N/A Additional Resources: Glencoe Geometry Textbook