- There is no need to purchase textbook or online access code. Materials here are free!
- Go through each lesson's lecture notes and video lectures. Do homework online to practice. If you made a mistake in a homework question, you can try the same problem with different numbers, until you master the concepts.
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 to use the online homework system. You need a username and password. Email Carl Yao at xiaolong.yao@pcc.edu to create one.

Open all Close all

This unit lays a foundation for later units.

####
Unit 1 Lesson 1: Exponent and Rounding Whole Numbers

####
Unit 1 Lesson 2: Multiplication

####
Unit 1 Lesson 3: Division

####
Unit 1 Lesson 4: Geometry Basics

####
Unit 1 Lesson 5: Divisibility Test

####
Unit 1 Lesson 6: Prime Number

####
Unit 1 Lesson 7: Greatest Common Factor and Least Common Multiple

####
Unit 1 Lesson 8: Order of Operations Part I (involving positive numbers only)

- Exponent and Rounding Whole Numbers Lecture Notes
- Exponent Definition Video Lecture
- Round Whole Numbers Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Division Lecture Notes
- Division Video Lecture 1
- Division Video Lecture 2
- Remainder Video Lecture
- Divide by Zero Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Geometry Basics Lecture Notes
- Geometry Basics Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Divisibility Test Lecture Notes
- Divisibility Test Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Greatest Common Factor and Least Common Multiple Lecture Notes
- Greatest Common Factor Video Lecture
- Least Common Multiple Video Lecture 1
- Least Common Multiple Video Lecture 2
- Least Common Multiple Video Lecture 3
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework (3 assignments)

3 means you won $3.

-4 means you lost $4.

3+(-4) means you won $3 and then lost $4, a net loss of $1. This is why 3+(-4)=-1.

Make sense?

####
Unit 2 Lesson 1: Integers and Absolute Value

####
Unit 2 Lesson 2: Add and Subtract Integers

####
Unit 2 Lesson 3: Multiply and Divide Integers

####
Unit 2 Lesson 4: Order of Operations Part II (involving negative numbers and absolute values)

-4 means you lost $4.

3+(-4) means you won $3 and then lost $4, a net loss of $1. This is why 3+(-4)=-1.

Make sense?

- Integers and Absolute Value Lecture Notes
- Introduction to Negative Numbers Video Lecture
- Absolute Value Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

Every one loves fraction! :) We will study fraction and mixed number operations in this unit.

####
Unit 3 Lesson 1: Fraction Definition and Equivalent Fractions

####
Unit 3 Lesson 2: Add/Subtract Fractions

####
Unit 3 Lesson 3: Multiply Fractions

####
Unit 3 Lesson 4: Divide Fractions

####
Unit 3 Lesson 5: Introduction to Mixed Numbers

####
Unit 3 Lesson 6: Add/Subtract Mixed Numbers

####
Unit 3 Lesson 7: Multiply/Divide Mixed Numbers

####
Unit 3 Lesson 8: Order of Operations involving Fractions

- Add/Subtract Fractions Lecture Notes
- Add Fractions with Common Denominators Video Lecture
- Add Fractions with Different Denominators Video Lecture 1
- Add Fractions with Different Denominators Video Lecture 2
- Add Fractions with Different Denominators Involving Negative Numbers
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Multiply Fractions Lecture Notes
- Multiply Fractions Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework (2 assignments)

- Divide Fractions Lecture Notes
- Divide Fractions Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Introduction to Mixed Numbers Lecture Notes
- Introduction to Mixed Numbers Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Add/Subtract Mixed Numbers Lecture Notes
- Add Mixed Numbers with Common Denominators Video Lecture
- Add Mixed Numbers with Different Denominators Video Lecture
- Add Mixed Numbers with Common Denominators Involving Negative Numbers Video Lecture
- Add Mixed Numbers with Uncommon Denominators Involving Negative Numbers Video Lecture
- Subtract Mixed Numbers Video Lecture 1
- Subtract Mixed Numbers Video Lecture 2
- Subtract a Fraction from a Whole Number Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Multiply/Divide Mixed Numbers Lecture Notes
- Multiply Mixed Numbers Video Lecture
- Multiply/Divide Mixed Numbers Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

The key to understand decimals is to think about money, as we use money every day. For example, 0.05 means 5 cents, and 1.1 means a dollar and 10 cents.

####
Unit 4 Lesson 1: Introduction to Decimals

####
Unit 4 Lesson 2: Add/Subtract Decimals

####
Unit 4 Lesson 3: Multiply/Divide Decimals

####
Unit 4 Lesson 4: Decimals and Fractions

####
Unit 4 Lesson 5: Square Root

####
Unit 4 Lesson 6: Mean, Median and Mode

- Add/Subtract Decimals Lecture Notes
- Add Decimals Video Lecture
- Subtract Decimals Video Lecture
- Add/Subtract Decimals Involving Negative Numbers Video Lecture 1
- Add/Subtract Decimals Involving Negative Numbers Video Lecture 2
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Decimals and Fractions Lecture Notes
- Change Decimal to Fraction Video Lecture 1
- Change Decimal to Fraction Video Lecture 2
- Change Fraction to Decimal Video Lecture
- Convert between Fractions and Decimals Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Square Root Lecture Notes
- Introduction to Square Root Video Lecture
- Evaluate Square Root Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

- Mean, Median and Mode Lecture Notes
- Mean, Median and Mode Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

Rate and proportion are used every day. For example, a car drives at 50 miles per hour, which is an example of rate.

If the owner of a property worth $300,000.00 pays $2,000.00 in property tax, how much tax should the owner of a property worth $400,000.00 pay? We can solve this problem with proportion.

Proportional thinking is critical in later math lessons.

####
Unit 5 Lesson 1: Rate and Ratio

####
Unit 5 Lesson 2: Proportion

####
Unit 5 Lesson 3: Unit Conversion

If the owner of a property worth $300,000.00 pays $2,000.00 in property tax, how much tax should the owner of a property worth $400,000.00 pay? We can solve this problem with proportion.

Proportional thinking is critical in later math lessons.

- Rate and Ratio Lecture Notes
- Ratio Video Lecture
- Rate and Ratio Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework

We use percent almost every day: A product is 30% off; the town's population increased by 30%; you just got a 5% raise, ... It's obvious how important percent is.

####
Unit 6 Lesson 1: Introduction to Percent

####
Unit 6 Lesson 2: Percent Formula

####
Unit 6 Lesson 3: Percent Word Problems

####
Unit 6 Lesson 4: Percent of Increase/Decrease

- Introduction to Percent Lecture Notes
- Introduction to Percent Video Lecture
- Change Percent to Decimal Video Lecture
- Change Percent to Fraction Video Lecture
- Change Decimals/Fractions to Percent Video Lecture
- Percent, Fraction and Decimal Conversions Video Lecture
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework (2 assignments)

- Percent Formula Lecture Notes
- Type I Percent Formula Problems Video Lecture
- Type II Percent Formula Problems Video Lecture
- Type III Percent Formula Problems Video Lecture
- Solve Percent Problems with Proportion Video Lecture 1
- Solve Percent Problems with Proportion Video Lecture 2
- Log in at https://webwork.pcc.edu/webwork2/mthalc20-yao-f15 and do this lesson's homework