# Math 156

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Math 156

## 1. Problem Solving

### 1.1. George Polyas 4-steps!

1.1.2. 2. Set up a plan

### 1.2. Ways to Problem Solve?

1.2.1. Tables

1.2.2. Similar Problems

1.2.3. Work Backwards

1.3.1. n(n+1)/2

### 1.4. Arithmetic?

1.4.1. Adding or subtracting fixed numbers

### 1.5. Geometric?

1.5.1. Multiplying to get the next number

### 1.6. Fibonacci?

1.6.1. Adding the integers together to get the next number

### 1.7. Number Systems

1.7.1. Roman Numerals

1.7.1.1. I=1

1.7.1.2. V=5

1.7.1.3. X=10

1.7.1.4. L=50

1.7.1.5. C=100

1.7.1.6. D=500

1.7.1.7. M=1000

1.7.1.8. EX: MDCCCL= 1850

## 2. Chapters 3 & 4

### 2.1. Vocabulary

2.1.2. Sum

2.1.3. Dividend

2.1.4. Divisor

2.1.5. Quotent

2.1.6. Algorithms

2.1.7. Functions

2.1.8. Relations

### 2.3. Functions

2.3.1. Ordered Pairs

2.3.2. The Rule

2.3.3. Make a table

2.3.4. Make a graph

2.3.5. Arrow Diagram

### 2.4. Teaching Addition and Subtraction Facts

2.4.1. Counting on

2.4.2. Blocks

2.4.3. Number Lines

2.5.1. 10xb

2.5.2. 10x3=30

### 2.7. Identifying Properties

2.7.1. Communative

2.7.2. Associative

2.7.3. Distributive pro. multiply over addition

2.7.4. Identity prob of one

2.7.5. Identity prob of zero

2.7.6. Closure Property

2.8.1. P

2.8.2. E

2.8.3. M

2.8.4. D

2.8.5. A

2.8.6. S

2.9.1. D

2.9.2. M

2.9.3. S

2.9.4. C

2.9.5. B

2.9.6. C

## 3. Chapter 5

3.1.1. Charged Field Model

3.1.2. Chip Model

3.1.2.1. Using Red and Black chips to represent Positive and Negative!

3.1.3. Number Line Model

3.1.4. Pattern Model

3.1.5. Absolute Value Model

3.2.1. Closure Property

3.2.2. Commutative property

3.2.3. Associative property

3.2.4. Identity element

### 3.3. Multiplication and Division for Integers

3.3.1. Patterns

3.3.2. Chip and charged field model

3.3.3. Number Line Model

### 3.4. Prime and Composite Numbers

3.4.1. Prime Factorization

3.4.1.1. Factor Tree

3.4.1.3. Number of Divisors

### 3.5. Greatest Common Divisor/Least common Multiple

3.5.1. Prime Factorization

3.5.3. Intersects

3.5.4. Number Lines

## 4. Chapter 6 & 7

### 4.1. Decimals

4.1.2. Subtracting Decimals

4.1.3. Multiplying Decimals

4.1.4. Dividing Decimals