Presentation is loading. Please wait.

Presentation is loading. Please wait.

Doug Mitchell Ms. Reyes 8 th Grade Class. One of Greece‘s first great mathematical thinkers, Pythagoras was also a philosopher with a devoted group of.

Published byMervyn Kelley Modified over 8 years ago

Similar presentations

Presentation on theme: "Doug Mitchell Ms. Reyes 8 th Grade Class. One of Greece‘s first great mathematical thinkers, Pythagoras was also a philosopher with a devoted group of."— Presentation transcript:

1 Doug Mitchell Ms. Reyes 8 th Grade Class

2 One of Greece‘s first great mathematical thinkers, Pythagoras was also a philosopher with a devoted group of followers called Pythagoreans.

3 Pythagoras's formula is one of the greatest contributions to mathematics in ancient times.

4 The Pythagorean Theorem states that: “The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides.” According to the Pythagorean Theorem, the sum of the areas of the two red squares, squares A and B, is equal to the area of the blue square, square C.

5 http://www.opportunityknocks.org/Job SeekerX/ViewJob.asp?JobID=RVVWTS0 0Og%2BzXeByg9JSeBEUBRR/

6  The Pythagorean Theorem was used by the Egyptians to build pyramids that are still standing today.  The pyramids have many right triangles so the Pythagorean Theorem can be used to determine the height or the base of the pyramids. C²C² B² A²A²

7  The Pythagorean Theorem is one of the most important and fundamental theorems in geometry.  Practical uses of the Pythagorean Theorem can be found in navigation, cartography, engineering constructions, and also in finding angles of elevation and depression.

8 Mr. Doug

9 The theorem can be used on a baseball field to determine distances. Since the infield is a square with right angles you can use the Pythagorean Theorem to determine the distance from home plate on a baseball field to second base if you know the distance from first to second base.

10  The distance between each base is 90 feet. How far does a catcher have to throw the ball from home plate to second base?  The hypotenuse is the distance from home plate to second base

11 Fighting Fire with Pythagoras Suppose a firefighter sets his ladder up 8 ft. away from a house. How long does the ladder need to be if they need to reach a window that is 36 ft. from the ground?

12 What is the distance between two cities? How far is it from Venice to Milan? We looked at a map and saw the three cities make a right triangle. We know the distance from Venice to Rome is 245 miles and Rome is 300 miles from Milan. We can solve to find the distance between Venice and Milan.

13 Navigating a boat Finding constellations Mapping coordinates on a grid Framing a stained glass window Finding the area of a lot Building an octagonal playhouse

14  Pythagoras (2009). Stanford Encyclopedia of Philosophy. Retrieved from http://plato.stanford.edu. http://plato.stanford.edu  The Pythagorean Theorem (n.d.). The University of Georgia, Department of Mathematics, EMT 669. Retrieved from http://jwilson.coe.uga.edu http://jwilson.coe.uga.edu  Pythagoras and the Pythagorean Theorem (2008). Articlebase. Retrieved from http://www.articlesbase.com http://www.articlesbase.com  Using the Pythagorean Theorem (2000). PBS. Retrieved from http://www.pbs.org.http://www.pbs.org

Download ppt "Doug Mitchell Ms. Reyes 8 th Grade Class. One of Greece‘s first great mathematical thinkers, Pythagoras was also a philosopher with a devoted group of."

Similar presentations

The Adventures Of Pythagorean Theorem

The Adventures Of Pythagorean Theorem
The Pythagorean Theorem c a b.

The Pythagorean Theorem c a b.
The Pythagorean Theorem Presented by: Tanya Van Dam Kalles Junior High Algebra 2 Spring 2000.

The Pythagorean Theorem Presented by: Tanya Van Dam Kalles Junior High Algebra 2 Spring 2000.
Bell Ringer What is the measurement of the missing angles? 65˚ b a cd A triangle sits in between two parallel lines. The sides of the triangle form two.

Bell Ringer What is the measurement of the missing angles? 65˚ b a cd A triangle sits in between two parallel lines. The sides of the triangle form two.
Exercise Solve x 2 = 4. x = ± 2. Solve x 2 = – 4. no real solution Exercise.

Exercise Solve x 2 = 4. x = ± 2. Solve x 2 = – 4. no real solution Exercise.
Warm Up # 4 A pine tree grower determines that the cost of planting and caring for each Pine tree is $18.53. The fixed costs for managing the tree farm.

Warm Up # 4 A pine tree grower determines that the cost of planting and caring for each Pine tree is $ The fixed costs for managing the tree farm.
The Pythagorean Theorem. Objectives The objective of this lesson is for you to learn and apply the Pythagorean Theorem -- an important relationship between.

The Pythagorean Theorem. Objectives The objective of this lesson is for you to learn and apply the Pythagorean Theorem -- an important relationship between.
EXAMPLE 1 Using a 45 o –45 o –90 o Triangle Softball The infield of a softball field is a square with a side length of 60 feet. A catcher throws the ball.

EXAMPLE 1 Using a 45 o –45 o –90 o Triangle Softball The infield of a softball field is a square with a side length of 60 feet. A catcher throws the ball.
The Pythagorean Theorem. Pythagoras Lived in southern Italy during the sixth century B.C. Lived in southern Italy during the sixth century B.C. Considered.

The Pythagorean Theorem. Pythagoras Lived in southern Italy during the sixth century B.C. Lived in southern Italy during the sixth century B.C. Considered.
Pythagorean Theorem.

Pythagorean Theorem.
5.4 The Pythagorean Theorem & Converse Es sential Question: How can we identify and apply the Pythagorean Theorem and its converse by solving problems.

5.4 The Pythagorean Theorem & Converse Es sential Question: How can we identify and apply the Pythagorean Theorem and its converse by solving problems.
Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.

Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.
Oreški Ivana 779 Osijek 2010..  an Ionian Greek philosopher and founder of the religious movement called Pythagoreanism  developed mathematics, astronomy,

Oreški Ivana 779 Osijek  an Ionian Greek philosopher and founder of the religious movement called Pythagoreanism  developed mathematics, astronomy,
Pythagorean Theorem Gayle Henry March 17, 2015 Pythagoras who lived in 500 B.C. was one of the first Greek mathematical thinkers who believed that all.

Pythagorean Theorem Gayle Henry March 17, 2015 Pythagoras who lived in 500 B.C. was one of the first Greek mathematical thinkers who believed that all.
Geometry 9.2 The Pythagorean Theorem October 10, 2015Geometry 9.2 The Pythagorean Theorem2 Goals Prove the Pythagorean Theorem. Solve triangles using.

Geometry 9.2 The Pythagorean Theorem October 10, 2015Geometry 9.2 The Pythagorean Theorem2 Goals Prove the Pythagorean Theorem. Solve triangles using.
4-8 The Pythagorean Theorem 0806.4.1 Use and apply the Pythagorean Theorem to solve contextual problems The Pythagorean Theorem.

4-8 The Pythagorean Theorem Use and apply the Pythagorean Theorem to solve contextual problems The Pythagorean Theorem.
Geometry Section 9.2 The Pythagorean Theorem. In a right triangle the two sides that form the right angle are called the legs, while the side opposite.

Geometry Section 9.2 The Pythagorean Theorem. In a right triangle the two sides that form the right angle are called the legs, while the side opposite.
PYTHAGOREAN THEOREM Brett Solberg AHS‘11-’12. Warm-up  Simplify 1) 2) 3) Solve for x 5 2 = x 2 + 3 2 4) What is a hypotenuse?

PYTHAGOREAN THEOREM Brett Solberg AHS‘11-’12. Warm-up  Simplify 1) 2) 3) Solve for x 5 2 = x ) What is a hypotenuse?
Pythagoras Lived in southern Italy during the sixth century B.C. Considered the first true mathematician Used mathematics as a means to understand the.

Pythagoras Lived in southern Italy during the sixth century B.C. Considered the first true mathematician Used mathematics as a means to understand the.
The Pythagorean Theorem. Pythagoras Lived in southern Italy during the sixth century B.C. Considered the first true mathematician Used mathematics as.

The Pythagorean Theorem. Pythagoras Lived in southern Italy during the sixth century B.C. Considered the first true mathematician Used mathematics as.

Similar presentations

Ads by Google