Unit 10: The Number System; Pythagorean Theorem
Duration of Days: 30
The Number System: The distinction between rational and irrational numbers, and that square roots of non-perfect squares are irrational.
Approximating Square Roots: How to locate and estimate the value of irrational square roots on a number line between two consecutive integers.
The Pythagorean Theorem
The Converse of the Pythagorean Theorem
Distance on a Coordinate Plane
Properties of Exponents: The basic rules for multiplying, dividing, and raising powers to a power with integer exponents.
Scientific Notation
Find exact square roots of perfect squares.
Calculate the missing length of a leg or the hypotenuse in a right triangle using the Pythagorean Theorem.
Test given side lengths to determine whether a triangle is a right triangle.
Plot two points on a coordinate grid, draw a horizontal and vertical leg to form a right triangle, and find the hypotenuse length to determine the distance between the points.
Apply basic exponent rules to simplify numerical and algebraic expressions.
Plot two points on a coordinate grid, draw a horizontal and vertical leg to form a right triangle, and find the hypotenuse length to determine the distance between the points.
Convert numbers between standard form and scientific notation.
Unit Assessment
IAB, Number System/Expressions and Equations
Performance Tasks
Quizzes
| Lesson # | Lesson Title | Duration of Days |
|---|---|---|
| 1 | Integer Exponents Rules | 5 |
| 2 | Scientific Notation & Operations | 5 |
| 3 | The Number System & Roots | 5 |
| 4 | Pythagorean Theorem Foundations | 5 |
| 5 | The Converse & Real-World Modeling | 5 |
| 6 | Coordinate Distance & Review | 5 |