Thursday, March 20, 2008
Algebra (Class 62)
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
Using the Pythagorean Theorem
Overview
We continue to build our algebraic fluency through solving the puzzle grids during our warm-up. Our lesson for today continues to focus on the Pythagorean theorem. We discuss the dissection puzzle and see a animation of one possible solution to the puzzle. We focus down to building fluency for using the Pythagorean theorem to solve for the missing lengths of sides of right triangles. We also discuss ways to to recognize a Pythagorean theorem problem-- you need to be able to answer the following questions “yes”: 1) Do you see right triangles?, 2) Do you know the lengths of two sides?
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 (#61)
ACE p.78 #17
Extra Practice 26 #19-21, 24, 25
Skill Builder 2B (SP14)
Handouts
No Handouts Posted
Assignment
ACE p.78 #18
Extra Practice 26 #26, 27
Skill Builder 2C (SP15)
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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