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Lesson 1: The Areas of Squares and Their Side Lengths

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.”
Lesson 2: Side Lengths and Areas

I understand the meaning of expressions like $\sqrt{25}$ and $\sqrt{3}$.

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: Rational and Irrational Numbers

I know what an irrational number is and can give an example.

I know what a rational number is and can give an example.
Lesson 4: Square Roots on the Number Line

I can find a decimal approximation for square roots.

I can plot square roots on the number line.
Lesson 5: Reasoning About Square Roots

When I have a square root, I can reason about which two whole numbers it is between.
Lesson 6: Finding Side Lengths of Triangles

I can explain what the Pythagorean Theorem says.
Lesson 7: A Proof of the Pythagorean Theorem

I can explain why the Pythagorean Theorem is true.
Lesson 8: Finding Unknown Side Lengths

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: The Converse

I can explain why it is true that if the side lengths of a triangle satisfy the equation $a^2+b^2=c^2$ 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: Applications of the Pythagorean Theorem

I can use the Pythagorean Theorem to solve problems.
Lesson 11: Finding Distances in the Coordinate Plane

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: Edge Lengths and Volumes

I know what a cube root is.

I understand the meaning of expressions like $\sqrt[3]{5}$.

I can approximate cube roots.
Lesson 13: Cube Roots

When I have a cube root, I can reason about which two whole numbers it is between.
Lesson 14: Decimal Representations of Rational Numbers

I understand that every number has a decimal expansion.

I can write a fraction as a repeating decimal.
Lesson 15: Infinite Decimal Expansions

I can write a repeating decimal as a fraction.

I understand that every number has a decimal expansion.