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Fayfay (7M)'s 7th Grade 4th Quarter Math Project. This project is covering three lessons: angles, triangles, and the Pythagorean Theorem, from the second half year of 7th Grade, which this prezi will explain the lessons in the easy and efficient way.
by

## Haripoom Prasutchai

on 26 May 2012

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#### Transcript of It's All About Math!

Fayfay Prasutchai
Prezi Producer
acute angle
MATH!
Mr. Allen Jordan
Math Teacher
Fayfay Prasutchai
Project Producer
CONTENTS
I. Angles
II. Triangles
III. The Pythagorean Theorem
ANGLE
What is an ANGLE?
An angle is something that made up of
two rays with the same endpoint.
A ray
A ray
endpoint
Part of an ANGLE
An angle is made up of two rays that share a
same end, which is mentioned previously. The rays
are called "sides" and the endpoint is called "vertex"
Side
Vertex
Side
THE BASICS
Types of ANGLES
Right Angle
An angle that is exactly
90 degrees
Acute Angle
An angle that is less than
90 degrees
Obtuse Angle
THIS indicates a RIGHT ANGLE
TIP
An angle that is between
90 and 180 degrees
Straight Angle
An angle that is
exactly
180 degrees
GETTING DEEPER
90°
ANGLES in PAIRS
If angles are in pairs, they can be called "supplementary angles" or "complimentary angles".
a PAIR of angles
SUPPLEMENTARY vs, COMPLEMENTARY
this pair of angles is
COMPLEMENTARY
because two of them totally measures 90 degrees
A
B
but this pair of angles is
SUPPLEMENTARY
because two of them totally measures 180 degrees
WHAT IF....
the sum of two angles are neither 90 degrees nor 180 degrees?
It will neither be complementary nor supplementary. Simply write not complementary or supplementary.
TRIANGLES
What is a triangle?
A triangle is a 2-dimensional geometric figure that has three edges and sides.
side
edge
Types of triangles
By the third angle
ACUTE TRIANGLE
A triangle that every angles acute
RIGHT TRIANGLE
A triangle that has 1 right angle
right angle!!
Talking about ANGLES in PAIRS, there are two kinds of pairs. Here you will got to know these.
TIME FOR QUIZ!
QUIZZES
Number 1!
What kind of angle is this?
OBTUSE ANGLE
Number 2!
What kind of angle is this?
ACUTE ANGLE
OBTUSE TRIANGLE
A triangle that has 1 obtuse angle
By the length of sides
EQUILATERAL TRIANGLE
a triangle that all sides are congruent
ISOSCELES TRIANGLE
a triangle that has two congruent sides
SCALENE TRIANGLE
a triangle that has no congruent sides
Integration: Angles
A triangle always has 180 degrees.
QUIZ TIME!
QUIZ!!!!
1)
By angle, what triangle
is this?
2)
By length of the sides,
what triangle is this?
this is an obtuse angle because the size of it apparently larger than a right angle.
because this angle is smaller than a right angle (90 degrees)
Number 3
What kind of angle is this?
Number 4
Eric drew an angle which measures 160 degrees.
Mr. Allen asked him what angle did he draw. Help him to answer.
STRAIGHT ANGLE
because this angle has a straight line.
OBTUSE ANGLE
Eric drew an obtuse angle because his angle measures more than 90 degrees.
120°
3)
By length of the sides,
what triangle is this?
4)
KK has a triangular carpet which all sides have the different length. KK wants to know that what triangle is the carpet.
OBTUSE TRIANGLE
this is an obtuse triangle because one of its angle is an obtuse angle
ISOSCELES TRIANGLE
this is an isosceles triangle because there are at least two congruent sides.
EQUILATERAL TRIANGLE
this is an equilateral triangle because all sides of the triangle is congruent.
SCALENE TRIANGLE
KK's carpet is a scalene-triangular shaped because no sides are congruent
PYTHAGOREAN
THEOREM

What is Pythagorean Theorem?
Pythagorean Theorem is a theorem introduced by a Greek mathematician Pythagoras related to right triangles which he stated that the longest side or the hypotenuse squared is the sum of two sides of the triangles squared.
EQUATION FOR THIS:
key:
a
and
b
are the legs
c
is the hypotenuse
Vocabularies
Pythagoras:
a Greek mathematician, born around 2,500 years ago. Founder of the Pythagorean Theorem
Hypotenuse
: the longest side in a right triangle; normally written as a
c
in equations
Pythagoras
Right Triangle
legs
hypotenuse
How this works
If a right triangle had these features
a
= 4 and
b
= 5 and I need to find its hypotenuse
PROOF
QUIZ!
TEST YOURSELF!
C
4 cm.
8 cm.
Find
C
The answer for this is approximately
8.9
This is how we supposed to work
NOTES
All answers supposed to be rounded up if the result came out with lots of decimal places.
Thank you for watching!
Have you get through with math!
SPECIAL THANKS TO:
Full transcript