Unit 8 Pythagorean Theorem & Irrational Numbers
Lesson
Standards
Learning Targets
Additional Resources
Addressing:
NC.8.NS.2
Building Toward:
NC.8.EE.2
NC.8.G.6
NC.8.NS.2
Building On:
NC.6.EE.1
NC.6.G.1
I can find the area of a triangle.
I can find the area of a tilted square on a grid by using methods like “decompose and rearrange” and “surround and subtract.”
Digital Manipulative
Khan Academy Videos (Review)
Khan Academy Practice (Review)
Find Base and Height on a Triangle
Finding Missing Length when Given Area of a Triangle
Video Lesson Summary: G8U8V1 Side Lengths and Areas of Squares From Illustrative Mathematics
Lesson 2:
Addressing:
NC.8.EE.2
NC.8.NS.2
Building Toward:
NC.8.EE.2
Building On:
NC.5.G .3
I understand the meaning of expressions like √25 and √3.
If I know the area of a square, I can express its side length using square root notation.
I can explain what a square root is.
Lesson 3:
Addressing:
NC.8.EE.2
NC.8.NS.1
Building Toward:
NC.8.EE.2
NC.8.NS.2
Building On:
NC.5.NF.4
NC.6.EE.1
I know what an irrational number is and can give an example.
I know what a rational number is and can give an example.
Khan Academy Videos
Intro to Rational and Irrational Numbers
Classifying Numbers: Rational and Irrational
Khan Academy Practice
Classify Numbers: Rational and Irrational
IXL Math
Identify Rational and Irrational Square Roots
Video Lesson Summary: G8U8V2 Square Roots on the Number Line From Illustrative Mathematics
Lesson 4:
I can find a decimal approximation for square roots.
I can plot square roots on the number line.
Lesson 5:
When I have a square root, I can reason about which two whole numbers it is between.
Lesson 6:
Addressing:
NC.8.G.7
Building Toward:
NC.8.G.6
Building On:
NC.5.G.3
NC.7.G.2
NC.8.EE.2
I can explain what the Pythagorean Theorem says.
Khan Academy Video
Intro to the Pythagorean Theorem
Khan Academy Practice
Use Area of Squares to Visualize Pythagorean Theorem
IXL Math
Pythagorean Theorem: Find the Length of the Hypotenuse
PythagoreanTheorem:Find the Missing Leg Length
Video Lesson Summary: G8U8V3 The Pythagorean Theorem From Illustrative Mathematics
Lesson 7:
I can explain why the Pythagorean Theorem is true.
Lesson 8:
When I have a right triangle, I can identify which side is the hypotenuse and which sides are the legs.
If I know the lengths of two sides, I can find the length of the third side in a right triangle.
Lesson 9:
I can explain why it is true that if the side lengths of a triangle satisfy the equation a2+b2=c2 then it must be a right triangle.
If I know the side lengths of a triangle, I can determine if it is a right triangle or not.
Lesson 10:
I can use the Pythagorean Theorem to solve problems..
Lesson 11:
I can find the distance between two points in the coordinate plane.
I can find the length of a diagonal line segment in the coordinate plane.
Lesson 12:
I know what a cube root is.
I understand the meaning of expressions like the cube root of 5.
I can approximate cube roots.
Khan Academy Video
Dimensions of a Cube From Its Volume
Khan Academy Practice
Video Lesson Summary: G8U8V5 Cube Roots and Decimal Representations From Illustrative Mathematics
Lesson 13:
When I have a cube root, I can reason about which two whole numbers it is between.
Lesson 14:
Addressing:
NC.8.NS.1
NC.8.EE.2
Building Toward:
NC.8.NS.1
Building On:
NC.7.NS.2
I understand that every number has a decimal expansion.
I can write a fraction as a repeating decimal.
Khan Academy Video
Converting a Fraction to a Repeating Decimal
Khan Academy Practice
Writing Fractions as Repeating Decimals
Writing Fractions as Repeating Decimals Review
IXL Math
Write a Repeating Decimals as a Fractions
Video Lesson Summary: G8U8V5 Cube Roots and Decimal Representations From Illustrative Mathematics
Lesson 15:
I can write a repeating decimal as a fraction.
I understand that every number has a decimal expansion.
Khan Academy Videos
Converting Repeating Decimals to Fractions (Part 1)
Converting Repeating Decimals to Fractions (Part 2)
Khan Academy Practice
Converting Repeating Decimals to Fractions
Converting Multi-Digit Repeating Decimals to Fractions
Writing Repeating Decimals as Fractions Review
IXL Math
Write a Repeating Decimal as a Fraction
Video Lesson Summary: G8U8V5 Cube Roots and Decimal Representations From Illustrative Mathematics