The Chicago High School for the Arts
Geometry CPa
Unit 4 Overview
Properties of Right Triangles
Content Related Vocabulary:
square, square root, radical, quadratic equations, right triangle, hypotenuse, Pythagorean Theorem,
trigonometry of right triangles, sine, cosine, tangent, trigonometric ratios
Enduring Understandings:
Students will understand that:
●
Geometry is a useful tool used to support calculations in art and architecture
●
Algebra and Geometry can be used together in problem solving
●
Patterns & similarity are naturally recurring in nature
●
Logic can be used to discover various angle relationships
●
Similar figures are proportional to each other
●
There are three basic trigonometric relationships
Essential Questions:

What is the difference between a linear equation and a quadratic equation?

Where do we see triangles in our everyday lives?

What types of triangles do we see?

What is so special about right triangles?
Learning Targets:

Simplify radical expressions

Solve simple quadratic equations

Use Pythagorean Theorem

Apply the converse of the Pythagorean Theorem

Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side
lengths

Use trigonometric ratios to solve right triangles
The Chicago High School for the Arts
Geometry CPa
Unit 4 Assessment Calendar: Properties of Right Triangles
To access the book PDF go to: adlerchiarts.weebly.com
Assessment
Type
Learning Targets
Description
Date
Homework
- Simplify radical expressions
Handout: Simplifying Radical Expressions #1
DUE: 2/3
Homework
- Simplify radical expressions
Handout: Simplifying Radical Expressions #2
DUE:
2/4, 2/5
Homework
- Simplify radical expressions
Review Handout: Simplifying Radicals Quiz
Review
DUE:
2/6, 2/7
Quiz
- Simplify radical expressions
UNIT 4 QUIZ 1: Squares, Square Roots and
Radical Expressions
ON:
2/6, 2/7
Homework
- Solve quadratic equations
Handout: Solving Quadratic Equations
DUE:
2/10, 11
Homework
- Use Pythagorean Theorem
Book, page 331: 1-10
Homework
- Apply the converse of Pythagorean Thm
Book, page 339: 1-9, 21 (use diagram above prob)
DUE:
2/17
Homework
- Recognize Pythagorean triples
Book, page 332: 11-16
DUE:
2/18, 19
DUE:
2/13, 14
- Solve quadratic equations
GRASPS
- Use Pythagorean Theorem and its
converse
UNIT 4 GRASPS: Pythagorean City Planning
(see sections 7.1 and 7.2 in textbook)
DUE:
2/24
- Apply the converse of Pythagorean Thm
Homework
- Express the sine, cosine & tangent of an angle in
a right triangle as a ratio of side lengths
Book, page 366-367: 1-6
DUE:
2/25, 26
Homework
- Express the sine, cosine & tangent of an angle in
a right triangle as a ratio of side lengths
Book, page 367: 10-16
DUE:
2/27, 28
Homework
- Use trig ratios to solve right triangles
Book, page 367-369: 17-19, 23-25
DUE:
3/3, 3/4
- Express the sine, cosine & tangent of an angle in
a right triangle as a ratio of side lengths
Review Handout: SOH CAH TOA
DUE:
3/5, 3/7
Homework
- Use trig ratios to solve right triangles
- Express the sine, cosine & tangent of an angle in
a right triangle as a ratio of side lengths
UNIT 4 QUIZ 2: SOH CAH TOA
- Use trig ratios to solve right triangles
(see section 7.5)
Homework
- All Unit 4 Learning Targets
Unit 4 Exam Review Packet
DUE:
3/10
Exam
All Unit 4 Learning Targets
Unit 4 Exam
ON:
3/11, 12
Quiz
ON:
3/5, 3/7