Jim Dougherty

  • IM / Open Up Grade 6
    • Grade 6: Unit 1 Area and Surface Area
    • Grade 6: Unit 2 Introducing Ratios
    • Grade 6: Unit 3 Unit Rates and Percentages
    • Grade 6: Unit 4 Dividing Fractions
    • Grade 6: Unit 5 Arithmetic in Base Ten
    • Grade 6: Unit 6 Expressions and Equations
    • Grade 6: Unit 7 Rational Numbers
    • Grade 6: Unit 8 Data Sets and Distributions
    • Grade 6: Unit 9  Putting it All Together
  • IM / Open Up Grade 7
    • Grade 7: Unit 1 Scale Drawings
    • Grade 7: Unit 2 Introducing Proportional Relationships
    • Grade 7: Unit 3 Measuring Circles
    • Grade 7: Unit 4 Proportional Relationships and Percentages
    • Grade 7: Unit 5 Rational Number Arithmetic
    • Grade 7: Unit 6 Expressions, Equations and Inequalities
    • Grade 7: Unit 7 Angles, Triangles, and Prisms
    • Grade 7: Unit 8 Probability and Sampling
    • Grade 7: Unit 9 Putting it All Together
  • IM / Open Up Grade 8
    • Grade 8: Unit 1 Rigid Transformations and Congruence
    • Grade 8: Unit 2 Dilations, Similarity, and Introducing Slope
    • Grade 8: Unit 3 Linear Relationships
    • Grade 8: Unit 4 Linear Equations and Linear Systems
    • Grade 8: Unit 5 Functions and Volume
    • Grade 8: Unit 6 Associations in Data
    • Grade 8: Unit 7 Exponents and Scientific Notation
    • Grade 8: Unit 8 – Pythagorean Theorem and Irrational Numbers
    • Grade 8: Unit 9 – Putting It All Together

Grade 8: Unit 8 – Pythagorean Theorem and Irrational Numbers

This is a compilation of resources built from the IM/Open Up 8th Grade curriculum.

You will have to log in to im.kendallhunt.com with a free teacher account to access .pdf files

Lesson

Video Overview
Lesson PlanSLIDE PRESENTATIONBlackline Masters / GlossaryStudent Task StatementsCool DownCumulative Practice ProblemsAligned VideoKhan Academy Aligned LessonsOptional?
8.1 The Areas of Squares and Their Side Lengths

8.EE.A.2
8.G.B
8.G.B.6
8.NS.A.2
lesson plan (pdf)

vocab
Google
Powerpoint
Blackline MasterDesmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

More Chances
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Video 1: Side Lengths and Areas of Squares (Lessons 1–2)
8.2 Side Lengths and Areas

8.EE.A.2
8.F.B
8.NS.A
lesson plan (pdf)

vocab
Google
Powerpoint
– square rootDesmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

More Chances
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Lesson 2: Side lengths and areas
8.3 Rational and Irrational Numbers

8.EE.A.2
8.NS.A
8.NS.A.2
lesson plan (pdf)

vocab
Google
Powerpoint
– rational number
– irrational number
– square root
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Points to Emphasize
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Video 2: Square Roots on the Number Line (Lesson 3–5)Lesson 3: Rational and irrational numbers
8.4 Square Roots on the Number Line

8.EE.A.2
8.NS.A.2
lesson plan (pdf)

vocab
Google
Powerpoint
– rational number
– irrational number
– square root
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Points to Emphasize
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Lesson 4: Square roots on the number line
8.5 Reasoning About Square Roots

8.EE.A.2
8.NS.A.2
lesson plan (pdf)

vocab
Google
Powerpoint
– rational number
– irrational number
– square root
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Press Pause
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Lesson 5: Reasoning about square roots

Extra practice: Irrational numbers
8.6 Finding Side Lengths of Triangles

8.G.B
8.G.B.6
8.G.B.7
lesson plan (pdf)

vocab
Google
Powerpoint
– Pythagorean Theorem
– hypotenuse
– legs
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

More Chances
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Video 3: The Pythagorean Theorem (Lessons 6–8)Lesson 6: Finding side lengths of triangles
8.7 A Proof of the Pythagorean Theorem

8.G.B
8.G.B.6
8.G.B.7
lesson plan (pdf)

vocab
Google
Powerpoint
Blackline Master

– Pythagorean Theorem
– hypotenuse
– legs
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Points to Emphasize
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Lesson 7: A proof of the Pythagorean Theorem
8.8 Finding Unknown Side Lengths

8.G.B
8.G.B.7
lesson plan (pdf)

vocab
Google
Powerpoint
– Pythagorean Theorem
– hypotenuse
– legs
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Points to Emphasize
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Lesson 8: Finding unknown side lengths
8.9 The Converse

8.G.B
8.G.B.6
lesson plan (pdf)

vocab
Google
Powerpoint
– Pythagorean Theorem
– hypotenuse
– legs
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Press Pause
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Video 4: Using the Pythagorean Theorem (Lessons 9–11)Lesson 9: The converse
8.10 Applications of the Pythagorean Theorem

8.EE.A.2
8.G.B.7
8.NS.A
lesson plan (pdf)

vocab
Google
Powerpoint
– Pythagorean Theorem
– hypotenuse
– legs
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Press Pause
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Lesson 10: Applications of the Pythagorean Theorem

Extra practice: Pythagorean theorem
8.11 Finding Distances in the Coordinate Plane

8.G.B.8
lesson plan (pdf)

vocab
Google
Powerpoint
– Pythagorean Theorem
– hypotenuse
– legs
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Points to Emphasize
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Lesson 11: Finding distance in the coordinate plane
8.12 Edge Lengths and Volumes

8.EE.A.2
8.NS.A.2
lesson plan (pdf)

vocab
Google
Powerpoint
Blackline MasterDesmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

More Chances
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Video 5: Cube Roots and Decimal Representations (Lessons 12–15)Lesson 12: Edge lengths and volumes

Extra practice: Square roots and cube roots
8.13 Cube Roots

8.EE.A.2
8.NS.A.2
lesson plan (pdf)

vocab
Google
Powerpoint
– cube rootDesmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Press Pause
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
8.14 Decimal Representations of Rational Numbers

8.EE.A
8.NS.A
8.NS.A.1
lesson plan (pdf)

vocab
Google
Powerpoint
– repeating decimalDesmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

More Chances
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Lesson 14: Decimal representations of rational numbers
8.15 Infinite Decimal Expansions

8.NS.A.1
lesson plan (pdf)

vocab
Google
Powerpoint
Blackline Master

– repeating decimal
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
pdf (English)

Points to Emphasize
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)
Lesson 15: Infinite decimal expansions
8.16 When Is the Same Size Not the Same Size?

8.G.B.7
lesson plan (pdf)

vocab
Google
Powerpoint
Desmos
Geogebra
pdf (English)
html (English)
html (Spanish)

IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is copyright 2017-2019 by Open Up Resources. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). OUR’s 6–8 Math Curriculum is available at https://openupresources.org/math-curriculum/.

Adaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Adaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The second set of English assessments (marked as set “B”) are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Spanish translation of the “B” assessments are copyright 2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).