Pythagorean theorem day 1
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Pythagorean theorem day 1 Pythagorean theorem day 1 Presentation Transcript

  • Pythagorean Theorem – Day 1
    January 20th , 2010
  • Classroom Jobs
    Congratulations to:
    Max - Exit Slip Captain
    Aracely - Notebook Captain
    Autavia-Homework Stamper #1
    Susana - Homework Stamper #2
    Larissa - Special Helper
  • It’s CST Challenge
    Please fill out name and top sentence
    Far Below Basic
    Below Basic
    Basic
    Proficient
    Advanced
    Begin reading!
    Good luck  We can win!!
  • Good Morning
    Warm-Up – homework on desk!
    1.
    2.
    3.
    Challenge:
    19
    8
    169
    18
  • And the winner is….
    Period 1 – 81 %!!
    79 %
    81%
    74 %
    77 %
  • Let’s Check our Homework
    1. D
    2. C
    3. B
    4. 96
    5. 5x + 20
    6. 56 – 16x
  • This Week’s Agenda
    Tuesday – Right Triangles
    Wednesday – Pythagorean Theorem
    Thursday – Pythagorean Theorem
    Friday – Quiz! 
  • Agenda
    Warm-Up (10 minutes)
    Vocabulary (10 minutes)
    Pythagorean Theorem Poster (10 minutes)
    Practice, Practice, Practice (25 minutes)
    Exit Slip (5 minutes)
  • Objective
    I CAN Define and apply the pythagorean theorem
  • Pythagoras
    Greek Mathematician
    Born around 500 B.C.
    Over 2500 years ago
    Discovered something very, very, very, very special about right triangles.
    So special there is now a law named after him…
  • Pythagorean Theorem
    In any right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.
    a2 + b2 = c2
    c
    a
    b
  • Right Triangle Detectives
    What did we learn?????
  • In order to be a right triangle, the pythagorean theorem must hold true!
    a2 + b2 = c2
  • Is a triangle with sides of length 4, 6, 8 a right triangle?
    a2 + b2 = c2
    8
    4
    42 + 62 = 82
    6
    16 + 36 = 64
    52 = 64
    NO! not a right triangle
  • Is a triangle with sides of length 7, 11, 14 a right triangle?
    a2 + b2 = c2
    14
    7
    11
    72 + 112 = 142
    49 + 121 = 196
    170 = 196
    NO! not a right triangle
  • Is a triangle with sides of length 9, 12, 15 a right triangle?
    a2 + b2 = c2
    15
    9
    92 + 122 = 152
    12
    81 + 144 = 225
    225 = 225
    YES! It is a right triangle
  • A triangle has legs measuring 6 cm and 8 cm, what is the length of the hypotenuse??
    Coach Meyer
    3. Substitute in what you know
    1. Draw a picture
    ?
    17 cm
    15
    2. Write down Pythagorean theorem
    a2 + b2 = c2
    152+ 82 = c2
    8
    225+ 64 = c2
    4. Take square root!!
    289= c2
    17 cm
    17= c
  • Steps:
    1. Draw a picture of triangle if needed
    2. Write down the Pythagorean Theorem
    3. Substitute in the two sides you know.
    4. Take square root to find length of the hypotenuse
  • We do
    A triangle has sides measuring 5 cm and 12 cm, what is the length of the hypotenuse??
    3. Substitute in what you know
    1. Draw a picture
    13
    ?
    5
    2. Write down Pythagorean theorem
    a2 + b2 = c2
    52 + 122 = c2
    12
    25 + 144 = c2
    4. Take square root
    169 = c2
    13 cm
    13 = c
  • We do
    A triangle has sides measuring 7 cm and 8 cm, what is the length of the hypotenuse??
    3. Substitute in what you know
    1. Draw a picture
    ?
    7
    2. Write down Pythagorean theorem
    a2 + b2 = c2
    72 + 82 = c2
    8
    49 + 64 = c2
    4. Take square root
    113 = c2
  • We do
    ?
    10
    3. Substitute in what you know
    1. Draw a picture
    2. Write down Pythagorean theorem
    a2 + b2 = c2
    32 + 102 = c2
    3
    9 + 100 = c2
    4. Take square root
    109 = c2
    √109
  • You - do
    Find the hypotenuses of the following right triangles:
    1. legs: 6, 8
    2. legs: 9, 10
    3. legs: 12, 16
    4. legs: 8, 15
    Hypotenuse = 10
    Hypotenuse = √181
    Hypotenuse = 20
    Hypotenuse = 13
  • Finish Your poster!
    Add the Pythagorean Theorem in large letters
    Write the formula below the theorem
    Show how the Pythagorean theorem works for your triangle with sides 3, 4, 5.
    If you have not, find the area of each of the 3 squares and write in the center of the square
    Make your poster colorful and pretty to put up on the walls!
  • Exit Slip
    Work quietly
    Please keep your eyes on your own paper 