Introduction, Objectives, and Procedures
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Introduction, Objectives, and Procedures
Introduction
In Lesson One, you will learn how to solve linear equations in one variable and solve mathematic and scientific formulas for a specified variable. Be sure to write down all core vocabulary and core concepts in your notes. They will be useful to you later.
Mathematics is sequential, so you need to master each concept before moving forward. The skills associated with each concept will be used again later. If you do not understand part of a lesson, review it again carefully or seek assistance.
Read all sections carefully. Take your time and take good notes in your spiral notebook. If you have questions, email me or message me so that I can help.
Lesson Objectives
After completing this lesson, you should be able to:
- solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides;
- rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property; and
- solve mathematic and scientific formulas, and other literal equations, for a specified variable.
Materials Needed
- Textbook: Big Ideas Math, Algebra 1
- Spiral notebook for notes
- Graphing calculator
How to Proceed
- Read the Introduction and Objectives for this lesson. They will give you an idea of the major concepts you need to watch for as you read, as well as the kinds of skills you will be expected to have at the end of the lesson.
- Survey pages 1-41 in your textbook. (Skim and/or look at the title, the introduction, the headings and subheadings, the graphics, and the important terms. The Chapter Review on pages 36-38 is a good place to see an overview of what you’ll be learning in Lesson One.)
- Read the assigned pages in your textbook for each section of this lesson. The assigned textbook readings are given at the beginning of each Section Summary.
- Take notes on the assigned pages for each section. Pay attention to the list of key words in each section. The key words are important and should be remembered for future reference.
- Read the Section Summaries on the course homepage. They will help you to understand what you read in the textbook. Read and study all examples given in the textbook.
- Complete the Section Assignments neatly on paper to be scanned and saved as a PDF (see "Textbooks and Materials" in the Course Introduction). Show every step and box your answers as shown in the Sample Lesson Submission in the Resources section of this course. When you have completed all of the assignments, save them as a single PDF and upload your work using the Lesson One: Assignment Upload.
- Review your notes briefly every day until you complete the course. After you have finished this lesson, you may proceed to Lesson Two.
Before You Begin
Before you begin this chapter, look through the whole chapter to become acquainted with the format of the book. Each chapter will have two parts labeled "What Did You Learn?". This part of the book lists the core vocabulary and core concepts. Make sure that you have all of the core vocabulary and core concepts written in your notes and defined. You may also want to add some examples.
Now look at pages 1 and 2. Work through Maintaining Mathematical Proficiency and Mathematical Thinking. This will serve as a review of some skills and topics that you should know and will also need for this chapter.
Remember your rules for operations with integers. Copy these rules into your notes for future reference.
Rules for adding two integers with like signs
- A positive plus a positive equals a positive 5 + 4 = 9
- A negative plus a negative equals a negative –5 + –4 = –9
Rules for adding two integers with unlike signs
- Subtract the values of the two integers.
- In the answer, use the sign of the integer with the larger absolute value.
Examples: –5 + 4 = –1
5 + –4 = 1
Rules for subtracting integers with like or unlike signs
- Change the subtraction sign to an addition sign.
- Change the sign of the second integer to its opposite.
- Now apply the appropriate rules for adding integers with like or unlike signs.
Examples: –6 – 2 = –6 + (–2) = –8
6 – 2 = 6 + (–2) = 4
–6 – (–2) = –6 + 2 = –4
6 – (–2) = 6 + 2 = 8
Rules for multiplying two integers with like signs
- Multiply the integers.
- The answer will always be positive.
Examples: 6 • (2) = 12
–6 • (–2) = 12
Rules for multiplying two integers with unlike signs
- Multiply the integers.
- The answer will always be negative.
Examples: 6 • (–2) = –12
–6 • (2) = –12
Rules for dividing integers are the same as they are for multiplication.
Core Concept for page 2: Operations and Unit Analysis
Read through this page and copy the two concepts in your notes for future use. Also work through the examples.
Addition and Subtraction – When you add or subtract quantities, they must have the same units of measure. The sum or difference will have the same unit of measure.
Multiplication and Division – When you multiply or divide quantities, the product or quotient will have a different unit of measure.
Answers to Maintaining Mathematical Proficiency (page 1)
Check your answers in the Selected Answers section of your textbook, beginning on page A1.
Answers to Monitoring Progress (page 2)
- About 3 million per year
- 30 mi/gal
- About 17 min
Texas Tech K-12
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Address
Texas Tech Plaza | 1901 University Ave, Lubbock, TX 79401 -
Phone
(800) 692-6877 -
Email
ttuk12@ttu.edu