#### Homework Archive For: **September 26th, 2012**

### 2.1 Inductive Reasoning

2.1 Inductive Reasoning powerpoint

In this lesson you will

● Learn how** inductive reasoning** is used in science and mathematics

● Use inductive reasoning to make **conjectures** about sequences of numbers and shapes

Inductive reasoning is the process of observing data, recognizing patterns, and making generalizations based on those patterns. You probably use inductive reasoning all the time without realizing it. For example, suppose your history teacher likes to give “surprise” quizzes. You notice that, for the first four chapters of the book, she gave a quiz the day after she covered the third lesson. Based on the pattern in your observations, you might generalize that you will have a quiz after the third lesson of every chapter. A generalization based on inductive reasoning is called a conjecture.

2.1.1 Inductive Reasoning WS - **solutions**

2.1.2 Patterns and Inductive Reasoning WS

**READ: INDUCTIVE REASONING **

### 1.6 The Real Numbers

1.6 The Real Numbers powerpoint

In this lesson you will

●Learn to determine if a number is rational or irrational

● Rational number is a number that can be written as a ratio (fraction) of two integers with a nonzero denominator.

● An *irrational *number as a number that *cannot *be written as a ratio of two integers.

● The set of real numbers consists of the set of all rational numbers together with the set of all irrational

numbers.

**Worksheets used in school can be found here: **

### 1.5 Operations with Square Roots

1.5 Operations with Square Roots powerpoint

1.5 Operations with Square Roots pdf

In this lesson you will

● Learn about the **radical symbol;**

● Learn that an expression containing a radical symbol is called a **radical expression**.

● Learn that the value under a radical symbol is called the **radicand **.

● Learn how to use the Distributive Property to combine like terms in radical expressions.

**Worksheets used in school can be found here: **