Download Right Triangles and Trigonometry - March 2-6

Name: Wilkes
Date: March 2-6
WOODLAND HILLS SECONDARY
LESSON PLANS
Content Area: Geometry
Length of Lesson: 10 days
STAGE I – DESIRED RESULTS
Lesson Topic (Modules, if applicable):
Right Triangles and Trigonometry
Big Ideas:
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 ratiosto solve problems
involving righttriangles
CC.2.3.8.A.3
Understand and apply the Pythagorean theorem to
solve problems.
CC.2.3.HS.A.3
Verify and apply geometric theorems asthey relate
to geometric figures.
Understanding Goals (Concepts):
Use of geometric mean to solve problems
involving side length.
How the Pythagorean Theorem and its converse
are used to solve problems.
Trigonometric ratios, their definitions, and how to
use them to solve right triangle problems.
Student Objectives (Competencies/Outcomes):
1Simplify, multiply, add, subtract, and divide
radicals
2.Find the geometric mean between two numbers.
Solve problems involving relationships between
parts of a right triangle and the altitude to its
hypotenuse.
3. Use the Pythagorean Theorem and its converse.
4.Use properties of 45-45-90 triangles.
5.Use properties of 30-60-90 triangles.
6.Find trigonometric ratios using right triangles.
Solve problems using trigonometric ratios.
7.Solve problems involving angles of elevation and
depression.
Essential Questions:
How can you use coordinates and algebraic
techniques to represent, interpret, and verify
geometric relationships?
How can patterns be used to describe relationships
in mathematical situations?
How can recognizing repetition or regularity assist
in solving problems more efficiently?
How are spatial relationships, including shape and
dimension, used to draw, construct, model, and
represent real situations or solve problems?
How can the application of the attributes of
geometric shapes support mathematical reasoning
and problem solving?
How can geometric properties and theorems be
used to describe, model and analyze situations?
Vocabulary:
Radical, simplified radical form, geometric mean,
Pythagorean triple, trigonometry, trigonometric
ratio, sine, cosine, tangent, angle of depression,
angle of elevation,
STAGE II – ASSESSMENT EVIDENCE
Performance Task:
Students will actively participate in mini-lessons, guided and independent
practice, activities (including authentic problem-solving tasks and vocabulary),
and group work. Also, students will demonstrate adequate understanding via
various quizzes, a writing assignment, and an end-of-chapter test.
STAGE III – LEARNING PLAN
Interventions:
Flexible grouping, students will be encouraged to attend Math Lab and College
and Career Access Center tutoring.
Materials and Resources:
Textbook and notes
Procedures
Instructional Procedures*:
Monday
Date: 3/2
Day: A
• “Do Now”- Find missing
sides of a triangle using
angles of elevation
• “Mini Lesson” – Angles
of Elevation and
Depression Section 7.5
Day 2
• “Guided Practice” –
Solve problems involving
angles of elevation and
depression
• “Independent Practice”
Students will use indirect
measurement to find
distances.
“Formative Assessment”
- Observe students
during “Independent
Practice”
Formative Assessments:
Pre-assessments, open-ended higher-order-thinking questions, think-pairshare, graphic organizers, do nows, observation of guided and independent
practice, brief in-class writing prompts
Tuesday
Date: 3/3
Day: B
• “Do Now” – Find a
distance using indirect
measurement
• “Mini Lesson” – Angles
of Elevation and
Depression Section 7.5
Day 3
• “Guided Practice” – N/A
• “Independent Practice”
– Students will use
angles of elevation and
depression to find
missing sides of a
triangle. Students will
use indirect
measurement to find
distances.
• “Formative Assessment”
- Observe students
during “Do Now” and
“Independent Practice”
Wednesday
Date: 3/4
Day: A
• “Do Now” – N/A
• “Mini Lesson” – Angles
of Elevation and
Depression Section 7.5
Project
• “Guided Practice” – N/A
• “Independent Practice”
– Students will create an
authentic situation,
illustrate and solve using
angles of elevation or
depression.
• “Formative Assessment”
- Observe students
during “Independent
Practice”
Thursday
Date: 3/5
Day: B
• “Do Now” – Find missing
side of a right triangle
using Pythagorean
Theorem
• “Mini Lesson” – Reading
Word Problems x4
• “Guided Practice” – Use
Pythagorean Theorem in
authentic applications.
• “Independent Practice”
– Students will use
Pythagorean Theorem in
authentic applications.
• “Formative Assessment”
- Observe students
during “Do Now” and
“Independent Practice”
Friday
Date: 3/6
Day: A
• “Do Now” – N/A
• “Mini Lesson” –N/A
• “Guided Practice” – N/A
• “Independent Practice”
– Students will review
Right Triangles and
Trigonometry for
Chapter Test
• “Formative Assessment”
- Observe students
during “Independent
Practice”
Assignments
Section 7.5 Day 2 – p. 374
#9-25 odd
Section 7.5 Day 3 – Practice
Worksheet
Chapter 7 Project
Chapter 7 Word Problems
*Include Do Now, Mini Lesson, Guided Practice, Independent Practice, Summations/Formative Assessments, Reflections
Review For Test