Download Similarity - Rubicon International

Unit Planner: Similarity (Chapter 8)
Geometry
Thursday, September 15, 2016, 6:30PM
Upper Division > 2016-2017 > Mixed-Grade Upper > Mathematics >
Geometry > Week 28 - Week 30
Last Updated: Thursday, June 16, 2016
by Judy Kent
Soler, Jesus
Stage 1: Desired Results
Mapping Style Guide
Standards
CBSCS: Mathematics and Statistics
CBSCS: High School
Geometry
Objective G.3.2
Student proves and applies the Pythagorean theorem and its converse, and student develops and applies the
distance formula, properties of special right triangles, properties of proportions, and the basic trigonometric ratios.
G.3.2.1 Proves the Pythagorean theorem and its converse and applies them in two- and three-dimensional settings.
G.3.2.2 Develops and applies the distance formula to determine the distance between points in the coordinate plane.
G.3.2.3 Develops and applies the properties of 30°-60°-90° and 45°-45°-90° triangles; develops and applies
proportional relationships involving the altitude drawn to the hypotenuse of a right triangle.
G.3.2.4 Applies the sine, cosine, and tangent trigonometric ratios to determine lengths and angle measures in right
triangles.
G.3.2.5 Applies, singly and in combination, the Pythagorean theorem, properties of proportionality, trigonometric
ratios, and similarity in solving mathematical and real-world problems.
Essential Questions
How do GPS mapping work? What does Google Map use to calculate the distance from one location to another?
Content
Skills / Objectives
Bloom's Taxonomy







Similarity in Right Triangles
The Pythagorean Theorem
The Converse of the Pythagorean Theorem
Special Right Triangles
The Tangent Ratio
The Sine and Cosine Ratios
Applications of Right Triangle Trigonometry
 Apply the Pythagorean Theorem to find sides of
a right triangle
 Solve for the missing sides of a special right
triangle by using the known ratios
 Find the sides or angles of a triangle using the
sine, cosine and tangent ratios
 Apply the knowledge of right triangles to solve
real world problems
Stage 2: Assessment Evidence
Assessment
Quiz
Formative: Written: Quiz
Students will demonstrate their knowledge of the Pythagorean theorem by solving right triangles.
Chapter Test
Summative: Test: Written
Students will demonstrate their knowledge of the concepts by applying the known ratios of special right triangles to
solve right triangles and using the sine, cosine and tangent ratios to solve real world problems.
Notebook
Formative: Written: Notebook/ISN/Portfolio
Students are to take notes in a notebook prior to coming into class in preparation for the day's lesson.
Homework
Formative: Performance: Authentic Task
Stage 3: Learning Plan
Learning Activities
(Including Core Curriculum & Tech Integration)
Direct Instruction (DI)
Demonstrate and model how to use the Pythagorean Theorem, special right triangles ratios and the Trigonometric
ratios to solve right triangles.
Core Curriculum
 Collaboration
 Communication
 Critical Thinking
Technology Integration
 HD Interactive TV
 LMS/Moodle Page
Interactive/Hands-on (HO)
Students are asked to work out problems on the board either independently or with collaboration with peers.
Core Curriculum






Character
Citizenship
Collaboration
Communication
Creativity
Critical Thinking
Technology Integration
 HD Interactive TV
 LMS/Moodle Page
Independent Practice (IP)
Students apply skills learned in class to work on similar problems for homework.
Core Curriculum
 Character
 Critical Thinking
Technology Integration
 LMS/Moodle Page
 Online textbook
Resources
Big Ideas Math: Geometry, Ron Larson, Laurie Boswell, Big Ideas Learning, 2015
Atlas Version 8.2
© Rubicon International 2016. All rights reserved