Ch 1: Basic Arithmetic in Algebra Lesson Plans

About This Chapter

The Basic Arithmetic in Algebra chapter of this High School Algebra Syllabus Resource and Lesson Plans course is designed to help you plan and teach the definitions and examples of basic math in your classroom. The video lessons, quizzes and transcripts can easily be adapted to provide your lesson plans with engaging and dynamic educational content. Make planning your course easier by using our syllabus as a guide.

Weekly Syllabus

Below is a sample breakdown of the Basic Arithmetic in Algebra chapter into a 7-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.

Day Topics Key Terms and Concepts Covered
Monday Number line; binary operations Definition of number line and uses with zero, positive and negative numbers; differences between binary and non-binary operations
Tuesday Addition, subtraction and multiplication Techniques and examples of how to perform whole number addition, subtraction and multiplication
Wednesday Large number multiplication; division Steps on how to multiply large figures, divide numbers and calculate long division equations
Thursday Signed numbers; commutative property; associative property Multiplying and dividing with signed numbers; meaning of commutative property and ways to reorder operations; associative property definition and using associate expressions
Friday Multiplication property of zero; greatest common factor Definition and examples of terms
Monday Least common multiple; graphs; parentheses Calculating the least common multiple; basic graphing terms, such as axis, ordered pair, intercepts, quadrants and origins; when and how parentheses are used in math
Tuesday Vocabulary terms; order of operations Fundamental algebra terms, such as coefficient, variables and constants; meaning and examples of the order of operations in math

22 Lessons in Chapter 1: Basic Arithmetic in Algebra Lesson Plans
Test your knowledge with a 30-question chapter practice test
What Is a Number Line?

1. What Is a Number Line?

A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.

Binary and Non-Binary Operations

2. Binary and Non-Binary Operations

Binary and non-binary are two terms that might really scare you, much like an operation may scare you. But don't worry, this lesson is super fun and super easy. You'll learn the definitions of these terms and see examples of each.

How to Perform Addition: Steps & Examples

3. How to Perform Addition: Steps & Examples

Addition is one of the basic operations of math. You can say that the whole of mathematics is based on addition. Without addition, we wouldn't have higher math. Watch this video to learn how to add.

How to Perform Subtraction: Steps & Examples

4. How to Perform Subtraction: Steps & Examples

Subtraction is one of the basic operations in math. Watch this video lesson to learn how you can view and understand subtraction so that you can easily perform it.

How to Multiply Large Numbers: Steps and Examples

5. How to Multiply Large Numbers: Steps and Examples

After watching this video lesson you will be able to multiply any two numbers together. You will learn how to use your knowledge of multiplying smaller numbers together to multiply larger numbers with ease.

How to Perform Division: Steps & Examples

6. How to Perform Division: Steps & Examples

Watch this video lesson to learn how you can divide. Division is one of the basic operations of math. It is one of the fundamental operations that all higher mathematics depends upon.

Performing Long Division with Large Numbers: Steps and Examples

7. Performing Long Division with Large Numbers: Steps and Examples

After watching this video lesson, you will be able to divide larger numbers. You'll learn an easy to follow procedure that you can use to divide any two numbers.

Arithmetic Calculations with Signed Numbers

8. Arithmetic Calculations with Signed Numbers

Signed numbers are often referred to as integers. Integers include both positive and negative numbers. In this lesson, you will learn how to add, subtract, multiply, and divide integers.

The Commutative Property: Definition and Examples

9. The Commutative Property: Definition and Examples

There are three major properties that deal with the addition and multiplication of numbers. One of those properties is the commutative property. This lesson will define and give examples of the commutative property and how it works.

The Associative Property: Definition and Examples

10. The Associative Property: Definition and Examples

There are three basic number properties that help to form the backbone of algebra. One of those properties is the associative property. This lesson will define the associative property and give some examples of how it works.

The Multiplication Property of Zero: Definition & Examples

11. The Multiplication Property of Zero: Definition & Examples

The number zero has different rules than other numbers; it behaves according to it's own unique properties. This lesson will define the multiplication property of zero and give some examples of how it works.

How to Find the Greatest Common Factor

12. How to Find the Greatest Common Factor

If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!

How to Find the Least Common Multiple

13. How to Find the Least Common Multiple

The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!

What Are the Different Parts of a Graph?

14. What Are the Different Parts of a Graph?

Being able to read a graph isn't just vital for an algebra class. Graphs and charts are used everywhere! We'll take a crash course on the basic x/y plane used in algebra and the fundamental vocab you need.

Parentheses in Math: Rules & Examples

15. Parentheses in Math: Rules & Examples

Watch this video lesson to learn how parentheses are used in math. Learn how to read them as multiplication and how they let you know which numbers to work with first.

Algebra Vocabulary Terms

16. Algebra Vocabulary Terms

Watch this video lesson to learn about some basic vocabulary words that you will come across again and again in the course of your studies in algebra. After you finish this video, you should know and be able to identify each term.

What Is The Order of Operations in Math? - Definition & Examples

17. What Is The Order of Operations in Math? - Definition & Examples

The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.

Solving Word Problems: Steps & Examples

18. Solving Word Problems: Steps & Examples

Watch this video lesson to learn how you can solve word problems by following this 3-step process. Learn how to visualize your problem so you fully understand it. Then learn how to write and solve your equations.

Solving Word Problems with Multiple Steps

19. Solving Word Problems with Multiple Steps

Not all word problems are so straightforward that they only require you to do one operation and you're done. Some are more complicated, requiring several steps. Watch this video lesson to learn how to solve these kinds of problems.

Restating Word Problems Using Words or Images

20. Restating Word Problems Using Words or Images

Watch this video lesson to learn how you can use sketches and notes to help you visualize a problem. Watch how easy it becomes to solve your problem once you have visualized it.

Personalizing a Word Problem to Increase Understanding

21. Personalizing a Word Problem to Increase Understanding

When it comes to word problems, being able to personalize a word problem with more familiar situations will help you a lot in your problem solving. Watch this video lesson to learn how you can restate the word problem in terms you understand.

How to Perform Multiplication: Steps & Examples

22. How to Perform Multiplication: Steps & Examples

Multiplication, one of the basic operations of math, is important not just in elementary math but also in higher math. Watch this video lesson to learn how you can multiply with ease.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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