8.G

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

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.

Standards:

8.G.B.7 8.G.B.8 HSA-REI.B.4b MP2 MP3 MP4

Favorites (4)

Resources (11)

compare pythagorean theorem to the distance formula

Playing Around with Pythagoras- Day 11

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.

Standards:

8.G.B.6 8.G.B.7 8.G.B.8 MP1 MP6

Favorites (11)

Resources (13)

Reflections (1)

Unit Assessment

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

Favorites (6)

Resources (10)

exponents and radicals unit assessment images

Playing Around with Pythagoras- Day 9

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.

Standards:

8.G.B.7 8.G.B.8 MP3 MP4 MP6

Favorites (5)

Resources (18)

Reflections (1)

Day Four & Five

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.

Standards:

8.NS.A.1 8.NS.A.2 8.EE.A.1 8.EE.A.2 8.EE.A.3 8.EE.A.4 8.EE.B.5 8.EE.B.6 8.EE.C.7 8.EE.C.8 8.F.A.1 8.F.A.2 8.F.A.3 8.F.B.4 8.F.B.5 8.G.A.1 8.G.A.2 8.G.A.3 8.G.A.4 8.G.A.5 8.G.B.6 8.G.B.7 8.G.B.8 8.G.C.9 8.SP.A.1 8.SP.A.2 8.SP.A.3 8.SP.A.4 MP1

Favorites (14)

Resources (8)

Reflections (1)

The Basics of 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!

Standards:

8.F.B.4 8.G.B.8 HSG-GPE.B.4 MP1 MP2 MP5 MP6 MP8

Favorites (10)

Resources (19)

Introducing Distance on the Coordinate Plane with Geo-Bands

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.

Standards:

8.G.B.8 MP1 MP5 MP6

Favorites (11)

Resources (16)

Analyzing Distance Algebraically

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.

Standards:

8.G.B.8 MP2 MP6 MP7

Favorites (6)

Resources (13)

Reflections (1)

Applying Distance to Perimeter and Area on Coordinate Plane

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.

Standards:

8.G.B 8.G.B.7 8.G.B.8 MP1 MP2 MP5 MP6

Favorites (2)

Resources (7)

applying distance to perimeter lesson image

Playing Around with Pythagoras- Day 12

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

Standards:

8.G.B.6 8.G.B.7 8.G.B.8 MP1 MP4 MP6

Favorites (1)

Resources (16)

Reflections (1)

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

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.

Standards:

8.G.B.7 8.G.B.8 MP1 MP4

Favorites (2)

Resources (16)

Reflections (1)

Distance in Geometry

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.

Standards:

8.G.B.8 HSG-GPE.B.7 MP4 MP6 MP7

Favorites (4)

Resources (14)

Reflections (1)

Distances in the Coordinate Plane

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.

Standards:

8.G.B.8 HSG-GPE.B.7 MP5 MP8

Favorites (35)

Resources (15)

Reflections (1)

The Pythagorean Theorem in Circles

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.

Standards:

8.G.B.7 8.G.B.8 MP3

Resources (8)

Reflections (1)

Round Robin Review (Unit 9/L1-7)

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.

Standards:

8.G.B.7 8.G.B.8 MP1 MP3

Favorites (2)

Resources (13)

Reflections (1)

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Geometry

8.G

8.G.B.8

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

The Pythagorean Theorem and the Distance Formula

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

Playing Around with Pythagoras- Day 11

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

Unit Assessment

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

Playing Around with Pythagoras- Day 9

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.

Day Four & Five

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.

The Basics of Coordinate Geometry

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

Introducing Distance on the Coordinate Plane with Geo-Bands

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

Analyzing Distance Algebraically

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

Applying Distance to Perimeter and Area on Coordinate Plane

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

Playing Around with Pythagoras- Day 12

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

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

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

Distance in Geometry

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.

Distances in the Coordinate Plane

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

The Pythagorean Theorem in Circles

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

Round Robin Review (Unit 9/L1-7)

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

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