# Module 1 - The Number System

#### Standards

#### Objectives

#### Lessons

#### Moodle

## Standards

### Know that there are numbers that are not rational, and approximate them by rational numbers.

- 8.NS.1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
- 8.NS.2. Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π
^{2}).*For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.*

### Objectives

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

### Lesson 1.01 - Rational and Irrational Numbers

### Lesson 1.02 Rational and Irrational Numbers, Part 2

### Lesson 1.03 Rational Approximations of Irrational Numbers

A | B | C | D |
---|---|---|---|

94-100 | 80-89 | 70-79 | 65-69 |

#### Problem of the Week

In addition to assignments, quizzes and tests, students will develop math skills through the weekly enrichment activity, or Problem of the Week (POW). This problem will be due the last day of each week (normally Thursday). Each POW has four parts - the main problem and three exercises which further develop the strategy introduced in the main problem.