Monday, March 31, 2008
Algebra (Class 63)
Announcements
Test Friday focusing on linear inequalities, systems of linear inequalities, and the Pythagorean Theorem
Lesson Title
Applications of the Pythagorean Theorem
Overview
In today’s class, our first since spring break, we will pick up where we left off with the Pythagorean Theorem, seeing how it can be used to solve various problems. The warm-up today, Puzzle Grid (E), continues to focus on developing algebraic reasoning.
Textbook Sections
11-6 (Txt. p.529) The Pythagorean Theorem
UCLA Materials- Unit 6: Week 24
Vocabulary
hypotenuse
legs
Pythagorean theorem
mean
median
mode
outlier
range
right triangle
Key Attitudes
Math is about investigating and confirming
Key Ideas
The Pythagorean theorem relates the lengths of the sides of a right triangle.
The Pythagorean theorem can be used to find the length of a side of a right triangle when the lengths of two sides are known.
Radicals are simplified if they contain no perfect square factors.
The hypotenuse of a right triangle is always across from the right angle.
In order to be able to use the Pythagorean theorem for solving a problem you need to be able to answer “yes” to both of the following questions: 1) Do you see right triangles, 2) Do you have the lengths of two sides?
Key Skills
Find the area of rectangles or triangles.
Simplify algebraic expressions by combining like terms.
Find the area of shapes on dot paper.
Simplify radicals.
Use the Pythagorean Theorem to find the lengths of a missing side of a right triangle when given the lengths of two other sides.
Turn-In (#62)
ACE p.78 #18
Extra Practice 26 #26, 27
Skill Builder 2C (SP15)
Handouts/Links
Pythagorean Theorem Practice Problems
Assignment
Skill Builder 1
Extra Practice 26 #28, 29
Disclaimer- The assignment as stated in class is the official assignment. Every effort is made to keep this posting accurate, but you should refer to what was stated in class as the final word.
Permalink