8.G.B.7

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

 
36 Lesson(s)
   

Using the Pythagorean Theorem to Solve by Diagram

8th Grade Math » Unit: Pythagorean Theorem
8th Grade Math » Unit: Pythagorean Theorem
Christa  Lemily
Bowling Green, KY
Environment: Suburban
 
Big Idea:

Moving students from hands-on Pythagorean Theorem to drawing diagrams to solve for missing sides continues the concept of why and how the equality works.

 
Favorites (29)
 
Resources (15)
 
Reflections (1)
solving pythagorean theorem by diagram lesson image
   

Dig In! Day 2

Geometry » Unit: Tools of Geometry
Geometry » Unit: Tools of Geometry
Beth Menzie
Amsterdam, NY
Environment: Urban
 
Big Idea:

What's true about the area and perimeter of our polygons from Part 1? To find out: Dig in!

 
Favorites (9)
 
Resources (29)
 
Reflections (2)
the areas are all the same
   

Solving the Pythagorean Theorem By Diagram Completed

8th Grade Math » Unit: Pythagorean Theorem
8th Grade Math » Unit: Pythagorean Theorem
Christa  Lemily
Bowling Green, KY
Environment: Suburban
 
Big Idea:

Moving students from hands-on Pythagorean Theorem to drawing diagrams to solve for missing sides continues the concept of why and how the equality works.

 
Favorites (11)
 
Resources (6)
solving pythagorean theorem by diagram lesson image
   

Apply the Pythagorean Theorem to a Broken Telephone Pole and an Isosceles Right Triangle.

Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The purpose of this lesson is to solve a multi-step problem using the Pythagorean Theorem and understand when to apply it.

 
Favorites (8)
 
Resources (17)
 
Reflections (1)
broken telephone pole
   

The Pythagorean Theorem and the Distance Formula

Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Algebra I » Unit: Radical Expressions, Equations, and Rational Exponents
Rhonda Leichliter
Rogers, AR
Environment: Rural
 
Big Idea:

The main point of this lesson is for students to recognize the similarities between the Pythagorean Theorem and the Distance Formula.

 
Favorites (2)
 
Resources (11)
compare pythagorean theorem to the distance formula
   

Playing Around with Pythagoras-Day 1

8th Grade Math » Unit: Playing Around with Pythagoras
8th Grade Math » Unit: Playing Around with Pythagoras
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

After a brief introduction, students will explore the Pythagorean relationship with color tiles and then apply that understanding by reconstructing a Pythagorean proof.

 
Favorites (25)
 
Resources (24)
pythag proven
   

Playing Around with Pythagoras-Day 2

8th Grade Math » Unit: Playing Around with Pythagoras
8th Grade Math » Unit: Playing Around with Pythagoras
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Simple, whole number computations to determine the missing lengths of the hypotenuse of given triangles helps students gain confidence in applying the Pythagorean Theorem.

 
Favorites (2)
 
Resources (28)
 
Reflections (1)
pythag triples
   

Playing Around with Pythagoras- Day 11

8th Grade Math » Unit: Playing Around with Pythagoras
8th Grade Math » Unit: Playing Around with Pythagoras
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Students get practice applying the Pythagorean Theorem to solve problems in this fast-paced collaborative game.

 
Favorites (8)
 
Resources (13)
 
Reflections (1)
tb 3 mi
   

Playing Around with Pythagoras- Day 9

8th Grade Math » Unit: Playing Around with Pythagoras
8th Grade Math » Unit: Playing Around with Pythagoras
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Now that students are developing proficiency with applying the Pythagorean Theorem to solve problems, they are now ready to apply their conceptual knowledge to a coordinate plane.

 
Favorites (3)
 
Resources (18)
 
Reflections (1)
pwp day 9 pic
   

Playing Around with Pythagoras- Day 3

8th Grade Math » Unit: Playing Around with Pythagoras
8th Grade Math » Unit: Playing Around with Pythagoras
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Now that students have practiced finding the length of missing hypotenuse, I introduce triangles with missing legs instead.

 
Favorites (2)
 
Resources (18)
 
Reflections (1)
pwp day3 which one is diff
   

Playing Around with Pythagoras- Day 4

8th Grade Math » Unit: Playing Around with Pythagoras
8th Grade Math » Unit: Playing Around with Pythagoras
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Students have spent several days applying the Pythagorean Theorem to find the missing sides of right triangles. Today, students are given triangles with all three side lengths given and they must prove whether the triangle is right or not.

 
Favorites (2)
 
Resources (18)
 
Reflections (1)
pwp day 4 prove it pic
   

Playing Around with Pythagoras- Day 10

8th Grade Math » Unit: Playing Around with Pythagoras
8th Grade Math » Unit: Playing Around with Pythagoras
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

In this lesson, students are introduced to a real-life application of the Pythagorean Theorem and must use it to justify their decisions.

 
Favorites (4)
 
Resources (21)
 
Reflections (1)
pwp day 10 taco cart problem pic
   

Missing a Leg (Day 1)

8th Grade Math » Unit: The Pythagorean Theorem
8th Grade Math » Unit: The Pythagorean Theorem
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

The Pythagorean equation is skillfully used to find missing sides that are not the hypotenuse.

 
Resources (14)
image3b
   

Playing Around With Pythagoras- Day 5

8th Grade Math » Unit: Playing Around with Pythagoras
8th Grade Math » Unit: Playing Around with Pythagoras
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Today, students will learn to estimate the lengths of unknown sides of right triangles by using their knowledge of perfect squares.

 
Resources (16)
 
Reflections (1)
pwp day 5 pic
   

Playing Around with Pythagoras-Day 6

8th Grade Math » Unit: Playing Around with Pythagoras
8th Grade Math » Unit: Playing Around with Pythagoras
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Building on previously built knowledge of Pythagorean Theorem, students will use a double number line to estimate square roots to the nearest tenth.

 
Favorites (1)
 
Resources (19)
 
Reflections (1)
pwp day 6 pic
Common Core Math
 
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