Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Golden ratio wikipedia , lookup
Euler angles wikipedia , lookup
History of geometry wikipedia , lookup
Apollonian network wikipedia , lookup
Rational trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Euclidean geometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Progressive Mathematics Initiative www.njctl.org Mathematics Curriculum Unit Plan # 4 Title: Congruent Triangles Subject: Geometry Length of Time: 3 weeks Unit Summary: The unit explores congruence between triangles. Students learn to classify triangles by their sides and angles, the Triangle Sum Theorem, and the Isosceles Triangles. The unit concludes with triangle congruence statements, proofs involving triangle congruence, and proofs. Learning Targets Conceptual Category: Geometry Domain: Congruence Cluster: Understand congruence in terms of rigid motions. Standard#: Standard: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the G-CO.8 definition of congruence in terms of rigid motions. Cluster: Prove geometric theorems Standard#: G-CO-10 Standard: Prove theorems about triangles. Conceptual Category: Similarity, Right Triangles & Trigonometry Cluster: Prove theorems involving similarity Standard#: Standard: Prove theorems about triangles G-SRT-4 Use congruence and similarity criteria for triangles to solve problems and to prove G-SRT-5 relationships in geometric figures. Unit Essential Question: Unit Enduring Understandings: How can statements about triangles Classifying triangles by sides and angles be proven? The sum of the angles of a triangle is 1800 Isosceles triangles have 2 congruent sides and two congruent angles Congruence statements for triangles CPCTC Proofs involving triangles Unit Objectives: Students will be able to identify triangles by sides and angles Students will be able to find the congruent angles of an isosceles triangle given congruent sides Students will be able to find the congruent sides of an isosceles triangle given congruent angles Students will be able to show triangles are congruent and solve problems based on that congruence Students will be able state the congruence of corresponding parts knowing congruent triangles Students will be able to write proofs triangles. Evidence of Learning Formative Assessments: SMART Response questions used throughout the unit. 5 Quizzes Summative Assessment: Unit Test Lesson Plans Topics Topic #1: Classifying Triangles Topic #2: Interior Angle Theorems Lab: Triangle Sum Theorem Topic #3: Exterior Angle Theorems Topic #4: Isosceles Triangle Theorem Quiz 1 Classifying Triangles, Triangle Angle Theorem, & Isosceles Triangle Theorem Topic #5: Congruence & Triangles Lab: Triangle Congruence SSS Lab: Triangle Congruence SAS Lab: Triangle Congruence ASA Quiz 2 Congruence & Triangles Topic #6: Triangle Congruence Proofs Quiz 3 Triangle Congruence Topic #7: CPCTC Quiz 4 Triangle Proofs Topic #8: Triangle Coordinate Proofs Quiz 5 Triangle Congruence Review and Unit Test Curriculum Resources: www.njctl.org/courses/math/geometry/ Days 1 1 1 1 3 2 2 2 2