# Semester 2 Math

### What Did We Learn?

## Prime and Composite Numbers

## Prime Factorization

## Square Roots and Irrational Numbers

**Vocabulary**

**Square Root-** a number multiplied by itself to get a product.

**Irrational Number- **A real number that cannot be expressed as a fraction because the decimal goes on forever with no repetition.

**Quick Reminders**

**-** Irrational numbers cannot be written as a/b

**- **Numbers such as 0.05 are called terminal numbers

**How To Solve**

To find a square root, you multiply a number by itself.

Ex: 3x3= 9

The square root of 9 is 3.

## Recipe Project

## Applications and Problem solving (In normal people words: Word Problems)

**Steps to solving a word Problem:**

- Familiarize with the problem
- Translate
- Solve
- Check
- State answer

**Example:**

If Johnny had 7 apples but gave away 3, How many apples are left?

**Step 1: Familiarize**

If Johnny had __7 apples__ but gave __away 3__, __How many apples are left? __

**Step 2: Translate**

If Johnny had 7 apples but gave away 3, How many apples are left? = 7-3

**Step 3: Solve**

7-3=4

**Step 4: Check**

7-3=4

4+3=7

**Step 5: State Answer**

Johnny has 4 apples left.

## Intro to Pythagorean Thm

This is the simple equation that begins your study of the Pythagorean thm.

We used these websites to help us with our studies:

http://www.shodor.org/interactivate/activities/PythagoreanExplorer/

There are many interesting interactive activities, instructions, and practice problems on these sights.

## Dimensional Analysis

**What is Dimensional Analysis?**

Dimensional analysis is the process of analyzing units to decide which conversion factor to use.

**How to convert units:**

**Step 1:**

What units of measurement do I want to know/ have in answer?

**Step 2:**

What do I know?

**Step 3: **

What do I need to know?

**Step 4: **

Solve (canceling units first)

**Below in the picture is an example **