Pre-Algebra Week 2

Pre-Algebra

Week 2

September 09, 2024

Sarah Monda

Class Expectations

5 Star Students

★ Be Safe
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★ Be Kind
★ Be Respectful
★ Be Responsible

Class Expectations

We will use Google Meet. Classes will be recorded.

Video on, unless you have talked to me previously.

We will be using Canvas as a way to turn in assignments and view resources. More on that later!

Assignments should be completed by the end of the day on Friday
each week. Contact me if you will be late, I am pretty flexible if
you communicate with me!

Weekly Assignments

1.

You will complete lessons and tests in the Teaching Textbooks app. You should already have this, please let me know if you don’t. Each week I will assign the lessons that you need to complete for that week. Once these are completed you will upload a screenshot of your scores for those lessons to Canvas.

2.

There will also be a vocabulary assignment each week. This work will not be graded and is optional, but it will help you to remember what you learn.

3.

Lastly, the first several weeks will be revision lessons. We will be moving pretty quickly through these chapters, and it is possible that we won't have time to cover each topic in detail. After the review chapters are done, the pace will slow down a bit.

Resources

Math is Fun - This is a great website for all things math. They
have definitions for most vocabulary. Explanations of rules,
formulas, and other fun concepts in math.
https://www.mathsisfun.com/

This guy does an amazing job explaining math concepts. If TT or I
are not able to explain in a way that you understand then check
out Math Antics youtube channel!
https://www.youtube.com/user/mathantics

Weekly Math Labs will be on Monday from 2:30-3:30 pm in my Zoom room. Appointments on Tuesdays or Thursdays can be scheduled from 2:30-3:30 also. I'm also at the Bend campus on Wednesday mornings if you have questions.

Getting on Canvas

Go to Canvas by clicking here

• Login with your school email as your user name.

• Your password should be in your school email, but if you forgot it, just use the "forgot password?" option. A new password will be sent to your school email.

Getting on Canvas

• Find your class in your class.

• In the home screen, you will see a lot of class information at the top: including links to Zoom recordings, weekly updates, the year at a glance, and my office hours.

Practice Submitting an assignment

• You might want to watch the video showing you how to take a screenshot on your Chromebook first.

• Go to the assignment either from the home screen or from your assignments list on the right or left menus.

• Click on the Practice submission assignment.

Practice Submitting an assignment

• At the top right of the page, you will see a button that says "Start Assignment." Click on it.

• In the window that opens up, type "hi" or some other greeting.

• At the bottom of the window, you will see the submit button.

Poll

I have used Teaching Textbooks before

• Yes

• No

Poll

I Have used Canvas before.

• Yes

• No

Poll

I have completed the Pre-Algebra placement test.

• Yes

• No

Poll

How do you feel about Math?

• I love it!

• Meh. It's OK.

• I find it difficult, but I do it.

• It's not my thing at all.

The origin of numbers
Addition and Subtraction
Multiplying whole numbers
Dividing whole numbers
Divisibility rules

​

​Chapter 1:
The Basics

Pre-History to today

• Writing and numbers were invented around 3400 BCE in Mesopotamia.

• The first place-value system was the Mesopotamian base 60 number system. We still use parts of this system. This is why we have 60 seconds in a minute, 60 minutes in an hour, and 360 degrees in a circle.

• The first base 10 system dates to 3100 BCE in Egypt.

• Hindu-Arabic numerals were invented between the 1st and 4th centuries CE in India. We still use these numerals today.

• The first known use of 0 as a number and not just a value was in India in 628 CE. Rules for dividing and multiplying with 0 come from this time.
  

​Roman Numerals

Before Arabic scholars brought Hindu numerals to Europe in the 10th century, European scholars used the Roman system of counting.

By the 14th century, Hindu-Arabic numerals had entirely replaced Roman numerals in mathematics.

Multiple Choice

Our current base-10 numeral system for writing numbers is called____.

• Hindu-Arabic numerals

• Roman numerals

• Mesopotamian numerals

• Egyptian numerals

Multiple Select

What are the advantages of the Hindu-Arabic numeral system over the Roman numeral system? (Select any that apply.)

• Easier to do arithmetic because it has a 0.

• Faster to write by hand.

• Faster to print on a printing press.

• Very large numbers can be easily represented

Math Response

What is the difference? (type your answer above the calculator)

5,849,812-700,000= ?

Type answer here

Correct Answer: 5149812

Deg^°

Rad

Commutative Property of addition

A+B=B+A

Numbers can be added in any order. Even if the order of numbers changes, the sum of two or more integers remains the same.

Multiple Choice

True or False. You can add numbers in any order.

• True

• False

Math Response

What is the sum? (type your answer above the calculator)

3,999+3,824=

Type answer here

Correct Answer: 7823

Deg^°

Rad

Commutative Property of Multiplication

A*B=B*A

Numbers can be multiplied in any order. Even if the order of the numbers is changed, the product of two or more integers remains the same.

Whole number multiplication

4+4+4+4+4+4 = 4*6

Before the invention of multiplication, people used repeated addition.

7 groups of 2 could be represented as 7*2 or 7*2 (commutative property) rather than 2+2+2+2+2+2+2.

Shortcut:

​Multiply the non-0 integers first.
Add the total number of 0s to the end.

​Multiplying with 0s

Math Response

What is the product? (type your answer above the calculator)

$$3000\times100$$

Type answer here

Correct Answer: 300000

Deg^°

Rad

​Long multiplication

1. Arrange the numbers one on top of the other and line up the place values in columns. The number with the most digits is usually placed on top as the multiplicand.

2. Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number

3. Write the answer below the equals line

4. If that answer is greater than nine, write the ones place as the answer and carry the tens digit

5. Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so.

6. When you've multiplied the ones digit by every digit in the top number, move to the tens digit in the bottom number.

7. Multiply as above, but this time write your answers in a new row, shifted one digit place to the left.

8. When you finish multiplying, draw another answer line below your last row of answer numbers.

9. Use long addition to add your number columns from right to left, carrying as you normally do for long addition.

Math Response

On your white board or paper solve:

$$25\times78$$ =

Then type your answer above the calculator.

Type answer here

Correct Answer: 1950

Deg^°

Rad

Long division is the mathematical method for dividing large numbers into smaller groups or parts.

​

Long Division

1. Any number divided by itself equal 1.

2. Any number divided by 1 equals itself.

3. 0 divided by any number equals 0.

4. It not possible to divide real numbers by 0.

Rules

Division

​Rules

Division

​More Rules

5. All even numbers can be evenly divided by 2.

6. All numbers ending in 0 or 5 can be evenly divided by 5.

7. All numbers ending in 0 can be evenly divided by 10.

8. For a number to be divisible by 4 or 8, the last two digits must be divisible by 4 or 8.

9. For a number to be divisible by 3, 6 or 9, the sum of the number's digits must divide evenly by 3, 6 or 9.

Math Response

On your whiteboard or paper, find the quotient:

$$2334\div6$$

Then type your answer in.

Type answer here

Correct Answer: 389

Deg^°

Rad

Homework

Teaching Textbooks

Canvas

❏ Lesson 1-5 and Test 1

❏ Submit a screenshot of the TT Lessons on Canvas
❏ Quizizz lesson (optional for review)