Download Chpt 7 Right Tri Day 1 LP

Artifact A: Part 1- Lesson Plan from Early in Semester
Teacher: Abigail Glennon
Course: Freshmen Geometry 266 (Kate Green)
Unit: Right Triangles and Trigonometry (Chpt. 7)
Date: start on Tues Jan 28th, end on Fri Feb 14th
MA State Frameworks:
 G-GPE.4: Use coordinates to prove simple geometric theorems algebraically. (For
example, prove or disprove that a figure defined by four given points in the coordinate
plane is a rectangle.)
 G-SRT.4: Prove theorems about triangles.
● G-SRT.6: Understand that by similarity, side ratios in right triangles are properties of the
angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
● G-SRT.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles
in applied problems (modeling).
Unit Goals:
● Solve problems using Geometric Mean, the Pythagorean Theorem and its converse.
● Derive proofs of the Pythagorean Theorem and theorems for special right triangles.
● Define and identify trigonometric ratios and solve problems involving right triangles.
● Know applications of angles of elevation and depression.
Essential Questions:
● How do you find a side length or angle measure in a right triangle?
● How do properties of special right triangles help us solve problems?
● Where do we see right triangle and trigonometric relationships in nature?
Course Objectives (Thoughtlines): Students will explore geometry through inductive and
deductive processes, technology, constructions, manipulatives, and algebraic connections.
Formal Assessments:
 Board Work: Students will work either independently or in small groups to complete
specific problems during Board Notes. This work will mainly be checked visually for
completion and effort, but at least one time in a unit this work will be collected and
graded on thoroughness and correctness.
 Quick Writes: Students will respond to 3 journal questions asking them to briefly
summarize the main idea of today’s lesson, describe something cool/surprising they
learned, and list any questions or concerns they still have about the material.
 Quiz (G.CO.5, G.CO.4): Students will demonstrate their transferred knowledge about
the definitions, theorems, and practice problems. Note that projected on the board will be
"Good Examples to Follow" on slide to help praise students who did well at reflecting
upon the class, and to help show other students what is expected of them when they are
asked to reflect upon that day’s class.

Extra Credit: Students can choose to solve extra credit problems, and students can
choose from various levels of difficulty for the problems assigned. This represents one
example of differentiated instruction.
Summative Assessment:
Unit Test: Identify and describe how to find the missing lengths in right triangles by using
specific properties associated with right triangles. To demonstrate that students can transfer this
knowledge, students will use their knowledge on properties of right triangles to make decisions,
draw conclusions, and solve real-life problems. Note that the questions will not be listed in the
order they were studied and note that some problems will ask students to use multiple properties
to solve one triangle.
Overview of Schedule:
DAY 1: (Tues) Kate
pass back Midterm
and go over results;
start Sect 7.1
Geometric Mean
DAY 2: (Wed)
finish Sect. 7.1
Board Notes and
Board Work
DAY 3: (Thurs) start
Sect. 7.2 Pythagorean
Theorem
DAY 4: (Fri) finish
Sect. 7.2; Review
Game for Quiz on
Monday
DAY 5: (Mon) Quiz
on Sections 7.1 and
7.2; watch Numb3rs
episode and start
Numb3rs activity wk
DAY 6: (Tues)
start Sect. 7.3
Special Right 4545-90 Triangles
DAY __: (Wed)
~ Snow Day~
DAY 7: (Thurs)
continue Sect. 7.3
Special Right 30-6090 Triangles;
Notebook Quiz
DAY 8: (Fri) finish
Sect 7.3; start Sect.
7.4 Trigonometric
Ratios; assign Study
Guide for hw to
prepare for Unit Test
next Friday!!!
DAY 9: (Mon)
DAY 10: (Tues) finish
continue Sect. 7.4 Sect. 7.4 if needed; start
Trig Ratios
BASIC Sect. 7.5 Angles
of Elevation and
Depression
DAY 12: (Thurs)
DAY 13: (Fri)
Review for Test
Unit Test
(students will put
Study Guide
problems on the board
and/or students will
play review game)
*Unit Plans are subject to change*
DAY 11: (Wed)
finish Sect. 7.5
Angles of Elevation
and Depression;
assign part 2 of Study
Guide
Have you differentiated for language and learning needs?
I have differentiated for these needs by projecting the problems on the white board (to help with
incorporate visual learning, which benefits ELLs) and by leaving time for groups to work on
problems. This way, I can walk around and check-in with groups, and specific students, that
need more assistance.
LESSON PLAN
DAY 1:
Lesson Objectives: Solve problems using Geometric Mean and learning about specific
relationships of right triangles.
MA State Frameworks:
 G-GPE.4: Use coordinates to prove simple geometric theorems algebraically. (For
example, prove or disprove that a figure defined by four given points in the coordinate
plane is a rectangle.)
HOOK:
 “My History as a Mathematician” quick write. Students will describe their experiences in
previous math courses they have taken, their unique learning style in math classes, and
how they feel about math. For example, are they very confident and comfortable in math
classes, or are they uninterested in math in general?
ACTIVITY:
 Kate will pass back Midterms and go over results (about 20 mins)
 Students will practice Warm Up exercises about simplifying radicals in order to prepare
them for computing with radicals in the upcoming right triangle problems in this unit.
 Then, the class will transition to Smart board notes that are introducing the geometric
mean term and the theorems about the relationships of the sides of right triangles. Inclass examples related to the geometric mean and right triangle problems will be
presented.
 Finally, students can choose to either work individually or in small groups to practice
these concepts by solving Board work problems, which are directly related to the in-class
example problems the class will have just discussed.
SUMMARY:
● Students will briefly respond to a Daily Quick Write, in which students will summarize
the key concepts and purpose of the class, describe something cool/interested/strange
they learned today, and finally list any questions they still have about the material.
ASSESSMENTS:
● Board Work
● HW: 7.1 Study Guide and Intervention (SGI): Geometric Mean wk (only front side) (pg
351 workbook)