Tuesday, March 18, 2008
Algebra (Class 61)
Announcements
Test today focusing on work from Investigation 3 and Investigation 5. Rework the hard problems from the ACE and the warm-ups!
Lesson Title
The Pythagorean Theorem 2
Overview
The Warm-Up for today’s class (Puzzle Grid (C)) continues the theme of using algebraic reasoning to solve a problem. The lesson for the class carries on our development of the Pythagorean Theorem, seeing how it is related to the lengths and areas of squares on the sides of right triangles. We will develop a geometric justification of the theorem to help us understand how and why the Pythagorean Theorem works as well as work on developing our skills at using the the Pythagorean Theorem for finding missing lengths of sides of right triangles. Our skills for simplifying radicals will come in handy! Also during the class Test 11 will be returned and students will have an opportunity to correct their test.
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.
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.Video for Simplifying 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 (#60)
ACE p.78 #10, 12
Extra Practice 26 #13-18, 22, 23
Handouts
No Handouts Posted
Assignment
ACE p.78 #17
Extra Practice 26 #19-21, 24, 25
Skill Builder 2B (SP14)
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.
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