8.G.B.8

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

 
18 Lesson(s)
   

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.

 
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Resources (11)
compare pythagorean theorem to the distance formula
   

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
   

Unit Assessment

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

Crafting standards based assessments requires carefully tying each question to a particular standard in order to gauge mastery levels.

Standards:
8.G.B 8.G.B.8
 
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Resources (10)
exponents and radicals unit assessment images
   

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.

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

Day Four & Five

8th Grade Math » Unit: Welcome Back!
8th Grade Math » Unit: Welcome Back!
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

To help guide instruction for the year and establish a baseline for quarterly benchmark assessments, students will take a benchmark test aligned to the CCSS.

 
Favorites (12)
 
Resources (8)
 
Reflections (1)
graph
   

The Basics of Coordinate Geometry

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

Moving Geometry onto the coordinate plane. Let's investigate midpoints, slope, and distance!

 
Favorites (9)
 
Resources (19)
image basics of coord
   

Introducing Distance on the Coordinate Plane with Geo-Bands

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

Geoboards help students find the right triangle about diagonal line segments. The natural desire to create shapes reveals Pythagorean Thm.

 
Favorites (8)
 
Resources (16)
diagonal geoband
   

Analyzing Distance Algebraically

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

Some students would rather use coordinates and formulas, than measure distance on a diagram. I like to offer both as an option.

 
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Resources (13)
 
Reflections (1)
discussing distance image
   

Applying Distance to Perimeter and Area on Coordinate Plane

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

Applying the Pythagorean Theorem to other types of geometry questions increases the difficulty and helps make connections.

 
Favorites (1)
 
Resources (7)
applying distance to perimeter lesson image
   

Playing Around with Pythagoras- Day 12

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, the students take a formative assessment that includes finding the missing sides of triangles, estimating non-perfect square roots, applying the Pythagorean Theorem to real world problems, and using it to find distance between two points on a coordi

 
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Resources (16)
 
Reflections (1)
pwp day 12 pic
   

Draw a Right triangle! You can´t go wrong.

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

Students confront tasks that seem hard to solve, till they start drawing triangles and using the theorem.

 
Favorites (2)
 
Resources (16)
 
Reflections (1)
pool task 5 three tickets
   

Distance in Geometry

Geometry » Unit: The Pythagorean Theorem
Geometry » Unit: The Pythagorean Theorem
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
Big Idea:

Understanding why the distance formula works with respect to the "change in x or y," enables students to solve novel problems requiring the measurement of distance.

 
Favorites (1)
 
Resources (14)
 
Reflections (1)
distance formula
   

Distances in the Coordinate Plane

Geometry » Unit: Geometry Foundations
Geometry » Unit: Geometry Foundations
Anthony Carruthers
Pasadena, CA
Environment: Suburban
 
Big Idea:

May the formula be with you. In this lesson students wield the power of the distance formula.

 
Favorites (2)
 
Resources (15)
 
Reflections (1)
screen shot 2013 09 28 at 4 19 59 am
   

The Pythagorean Theorem in Circles

Geometry » Unit: The Pythagorean Theorem
Geometry » Unit: The Pythagorean Theorem
Jessica Uy
Sunnyvale, CA
Environment: Suburban
 
Big Idea:

By working in pairs, students will work through and reflect on a variety of problems that require them to synthesize several geometry topics.

 
Resources (8)
 
Reflections (1)
circles diagram li
   

Round Robin Review (Unit 9/L1-7)

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

Tackling questions in Round Robin fashion is a great way to review and practice for standardized exams.

 
Favorites (2)
 
Resources (13)
 
Reflections (1)
roundtable
Common Core Math
 
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