Course Handbook
| Site: | Climbing Higher Math |
| Course: | Self-Paced Algebra 1 Sample |
| Book: | Course Handbook |
| Printed by: | Guest user |
| Date: | Friday, 23 October 2026, 3:53 PM |
Description
Start here to learn how the course works, what materials you will need, and how to complete and check your work.
Welcome & How This Course Works
Course Handbook · Section 1 of 6
Welcome to Algebra 1! This is a self-paced course, which means you may work through the lessons on your own schedule. There are no weekly deadlines, but you should plan to work consistently so that you continue making progress.
The course is organized by chapter. Within each chapter, complete the lessons in the order they are listed. A typical lesson may include:
- video instruction
- an Amplify activity
- textbook reading and practice problems
- a worksheet or review activity
Read each lesson page carefully before beginning. It will tell you exactly what materials to use and what work to complete.
Working Through the Course
Use the course index on the left side of the screen to move between chapters and lessons. Select a chapter to expand it and see the lessons inside.
Each chapter begins with an introduction and a suggested pacing plan. The number of work days is only a guide. Some lessons may take more than one day, and that is okay.
After completing a lesson, use the Mark as done button. This will help you keep track of your progress and easily see where to continue the next time you return.
Where to Begin
Finish reading the remaining sections of this book before beginning Chapter 1. They will explain what materials you need, how to complete and check your work, how assessments work, and where to find help.
Materials & Calculator
Course Handbook · Section 2 of 6
Before you begin the course, make sure you have the materials listed below. Keep them together in a place where you can easily access them each time you work.
Required Materials
- Foerster's Algebra and Trigonometry: Functions and Applications textbook
- the corresponding solutions manual
- a dedicated math notebook or organized loose-leaf paper
- pencils and erasers
- a colored pen or pencil for checking and correcting your work
- a scientific calculator
- access to an internet-connected computer or tablet
You may also find graph paper, a ruler, and a small supply of printer paper helpful for some lessons and worksheets.
Calculator Policy
A scientific calculator may be used throughout the course, including on all assessment problems.
A graphing calculator or a matrix calculator may be used only when the lesson or assessment specifically indicates that it is allowed. Most of the course is designed to help you understand and perform the mathematics yourself rather than rely on a calculator to complete the work.
Your Math Notebook
Use your notebook for lesson notes, Amplify work, examples, textbook problems, and corrections. Write neatly enough that you can return to your work later and understand what you did.
Keeping your work organized will make it easier to review for assessments and to find where an error occurred when an answer is incorrect.
How to Complete a Lesson
Course Handbook · Section 3 of 6
Each lesson page will tell you exactly what to do. Read the entire page before beginning so that you know which materials you will need and what work to complete.
Lessons will not all look exactly the same, but most will include some combination of the steps below.
Learn
Watch the lesson video, complete the assigned reading, or work through the Amplify activity. Keep your math notebook open and take useful notes as you work.
Pause videos when needed. Copy important definitions, formulas, examples, and diagrams into your notebook rather than trying to remember everything later.
Practice
Complete the assigned textbook problems, worksheet, or other practice. Show your work neatly and include enough steps that you can identify where an error occurred.
Some lessons may take longer than one work session. You do not need to rush through a lesson simply to finish it in one day.
Check Your Work
After completing the assigned practice, check your answers using the solutions manual or answer key. Use a different-colored pen or pencil to mark and correct any errors.
Do not simply replace an incorrect answer. Look back through your work, determine what went wrong, and make the correction in a way that will help you understand the problem.
Finish the Lesson
Before marking the lesson complete, make sure you have finished all required parts of the lesson and checked your work.
Then select Mark as done. This will update your course progress and make it easier to see where to continue when you return.
Reviews & Assessments
Course Handbook · Section 4 of 6
Each chapter includes review work to help you bring the ideas from the chapter together and prepare for the assessment. Complete the review carefully rather than treating it as something to rush through.
Chapter Reviews
Begin the review without looking at the solutions. You may use your notes and earlier lesson work when you need help.
After completing the review, check your answers using the solutions manual or available help videos. Correct missed problems in a different color and make sure you understand your mistakes before moving on.
Assessments
Complete each assessment independently and use only the resources specifically allowed in the assessment directions. Do not use the textbook, solutions manual, online searches, artificial intelligence, or help from another person unless the directions clearly permit it.
A scientific calculator may be used on all assessment problems. A graphing calculator or a matrix calculator may be used only when indicated.
Take the time to show clear mathematical work when appropriate. Your work should demonstrate how you reached your answers, not only the final result.
After an Assessment
Use the assessment results to identify topics that need more practice. Return to the relevant lesson, review your notes and examples, and work through missed problems again before continuing.
An assessment is not only a record of what you know. It is also an opportunity to discover what you still need to strengthen.
Getting Help
Course Handbook · Section 5 of 6
Getting stuck is a normal part of learning mathematics. When that happens, try to identify the point where the confusion begins rather than simply looking for the final answer.
Try These Steps First
- Review the lesson directions, video, textbook explanation, and notes.
- Look at a similar example and compare each step with your own work.
- Check the chapter help videos for the lesson or type of problem you are working on.
- Use the solutions manual to examine the next step—not only the final answer.
- Try the problem again on fresh paper, showing each step clearly.
Sometimes a short break can also help. Return to the problem later and begin again from the last step you understand.
When You Still Need Help
If you are still stuck after trying the steps above, send Dr. Julie a message. Include the lesson number, problem number, and a clear explanation of where you became confused.
If possible, attach a photograph or screenshot of your work. Seeing what you have already tried makes it much easier for us to help.
Ask a Specific Question
A helpful question might sound like:
- “I understood the first step, but I got stuck when…”
- “I think I made an algebra mistake here. Can you help me find it?”
- “I do not understand why this method works.”
- “Can you check my setup before I finish the problem?”
You do not need to understand everything immediately. Careful questions and persistent work are part of learning mathematics well.
Suggested Pacing
Course Handbook · Section 6 of 6
This course is self-paced, but you will make the best progress by working consistently. Long breaks between lessons can make it harder to remember earlier ideas and connect them to new material.
Choose a Regular Schedule
Plan to work on math on specific days each week. For most students, a schedule of four or five days per week works well.
Our goal is for you to spend no more than about one hour on math each day. You may complete that time in one work session or divide it into two shorter blocks, such as 30 minutes in the morning and 30 minutes later in the day.
Pay Attention to Your Concentration
Do not force yourself to continue simply because a lesson is not finished. When you can no longer concentrate well, reach a reasonable stopping point and take a break. Continuing while tired or unfocused often leads to careless mistakes and frustration.
A lesson may take part of one day, a full day, or several days. That is okay. At the end of your work time, make a note of where you stopped so that you can begin there during your next session.
Use the Suggested Work Days
Each chapter includes suggested work days to help you plan. These are guidelines rather than deadlines. Some lessons may take less time, while more challenging lessons may need to be spread across two or more days.
Work carefully during the time you have available. Do not skip checking and correcting your work simply to finish a lesson more quickly.
Plan for Reviews and Assessments
Leave enough time to complete each chapter review, check your answers, and revisit any topics that are still difficult before beginning the assessment.
It is usually best to complete the review and assessment on separate days. This gives you time to correct mistakes and ask for help before the assessment.
Keep Moving Forward
Use the completion markers in the course index to keep track of your progress. Mark a lesson done only after you have completed all of its required parts and checked your work.
If you fall behind the schedule you originally planned, simply begin again where you left off. Consistent, focused work is more valuable than rushing to catch up.
2-Year Pacing Guide
Use this guide if you are completing Algebra 1 over two school years. The weekly plan is a guide for steady progress, not a set of deadlines.
Year 1
Week 1
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Introduction | 0.1 | Number Tricks | Do number tricks with friends and family |
| Chapter 1 | 1.1 | Lesson 1 : Variables & Addition | #11(a-e, f, h), 12(a-c), 13(a-d), 15(a), 16 |
Week 2
Week 3
Week 4
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 1 | 1.6 | Lesson 6: Special Qualities of Zero & One | #4, 5, 6, 8, 9 (a, b, e, f, h), 10 |
| Chapter 1 | 1.7 | Lesson 7: Order of Operations | #4, 5(a-h, k, n-p), 6(a-d), 7, 8 (b, d) |
Week 5
Week 6
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 1 | 1.R | Chapter 1 Review | Set II Exercises #1, 2, 3, 4(a, b), 6(b), 7, 8, 10(a), 11(a,b), 12(a), 14(a) |
| Chapter 1 | 1.T | Chapter 1 Test | test and solutions available as a pdf |
Week 7
Week 8
Week 9
Week 10
Week 11
Week 12
Week 13
Week 14
Week 15
Week 16
Week 17
Week 18
Week 19
Week 20
Week 21
Week 22
Week 23
Week 24
Week 25
Week 26
Week 27
Week 28
Week 29
Week 30
Week 31
Week 32
Week 33
Year 2
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 10 | 10.1 | Lesson 1: Prime and Composite Numbers | #4, 5(b, c, d, e, h, i), 6(a - f), 8(b, e, f, h) |
| Chapter 10 | 10.2 | Lesson 2: Factors of Monomials | #4(c, d, e), 5, 6, 8, 9(b - j) |
Week 10
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 10 | 10.3 | Lesson 3: Factors of Polynomials | #5(a, b), 6, 7(a - f), 10(a, b), 11(a - c) |
| Chapter 10 | 10.4 | Lesson 4: Factoring 2nd Degree Polynomials | #4(a, b, e, f), 5(a, b), 6(a - d), 7(a - c), 8(a - h), 9(a, b) |
Week 11
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 10 | 10.5 | Lesson 5: Factoring the Difference of Two Squares | #4(a, c, e), 5(a, b, c, e, f), 6, 7(a, b, g, h), 8(a - e), 9(a) |
| Chapter 10 | 10.6 | Lesson 6: Factoring Trinomial Squares | #5, 6(e, f), 7, 8(a - d), 9(a, d, f, i), 10(a, b) |
Week 12
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 10 | 10.7 | Lesson 7: More on Factoring 2nd Degree Polynomials | #5(a - d), 6(a - e), 7, 8(a) |
| Chapter 10 | 10.8 | Lesson 8: Factoring Higher-Degree Polynomials | #4, 5, 6(a - e), 7(a - c) |
Week 13
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 10 | 10.R | Chapter 10 Review | Set II Exercises #1(a, e), 2(a, e), 5(a, d), 7, 8(a - e), 9(a - i) |
| Chapter 10 | 10.T | Chapter 10 Test | test and solutions available as a pdf |
Week 14
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 11 | 11.2 | Lesson 2: Algebraic Fractions | #4(a, c, e), 5, 6(a - f), 7(a - c), 8(a, c, e), 9(c - h) |
| Chapter 11 | 11.3 | Lesson 3: Adding & Subtracting Fractions | #4(c - h, l - o), 5(c - i), 6(b, c) |
Week 15
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 11 | 11.4 | Lesson 4: More on Adding & Subtracting Fractions | #5(a - c, e - h), 6, 7(a - c), 8(a, c), 9(a, b) |
| Chapter 11 | 11.5 | Lesson 5: Multiplying Fractions | #4(a - c), 5(a - l), 6(b - g), 7(a, b) |
Week 16
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 11 | 11.6 | Lesson 6: More on Multiplication | #4(e - g), 5(c - j), 6(c - e), 7(a), 8(a) |
| Chapter 11 | 11.7 | Lesson 7: Dividing Fractions | #4(d - f), 6(a - e), 7(a - d), 8(a, b) |
Week 17
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 11 | 11.R | Chapter 11 Review | Set II Exercises # 4(a, d), 3(a), 4, 6(b, c), 8(b - e), 9(a), 11(b, d, f) |
| Chapter 11 | 11.T | Chapter 11 Test | test and solutions available as a pdf |
Week 18
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 12 | 12.1 | Lesson 1: Squares and Square Roots | #4, 5(a - f), 6(a, b, d), 8, 9(a - d), 10(a - f), 11(a - d) |
| Chapter 12 | 12.2 | Lesson 2: Square Roots of Products | #4(a - d, h - k), 5(a - d), 6(a - e), 7(a), 8(a - d), 9 |
Week 19
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 12 | 12.3 | Lesson 3: Square Roots of Quotients | #5, 6(a - d), 7(a, c), 8, 9(a - d), 10(a, c, d, f, h, i - l) |
| Chapter 12 | 12.4 | Lesson 4: Adding & Subtracting Square Roots | #4(a, c, d, f), 5(a - i), 6(a, b), 7(a, b, e), 8(a - d), 9(a, b) |
Week 20
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 12 | 12.5 | Lesson 5: Multiplying Square Roots | #4(a, b, d, f, i, j), 5(a - c), 6(a - f), 7(a - c), 8(a, b) |
| Chapter 12 | 12.6 | Lesson 6: Dividing Square Roots | #7, 8, 9(a), 10, 11(a, b) |
Week 21
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 12 | 12.7 | Lesson 7: Radical Equations | #5, 6(a, b), 7(a - f, i - k), 8(a - d) |
| Chapter 12 | 12.R | Chapter 12 Review | Set II Exercises #1(a), 2, 4(a), 5(c), 6(a, c), 8(a, c), 9(b), 10(a, b), 11(a, d), 12(a, c), 14(a, d, f) |
| Chapter 12 | 12.T | Chapter 12 Test | test and solutions available as a pdf |
Week 22
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 13 | 13.1 | Lesson 1: Polynomial Equations | #4(e), 5(a - f), 6, 7(a - c, e) |
| Chapter 13 | 13.2 | Lesson 2: Polynomial Functions | #5, 6, 7 |
Week 23
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 13 | 13.3 | Lesson 3: Solving Polynomial Equations by Graphing | #4, 5, 6, 7a, 8a |
| Chapter 13 | 13.4 | Lesson 4: Solving Quadratic Equations by Factoring | #4(a, c, e, g), 5(a - g), 6(a - c) |
Week 24
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 13 | 13.5 | Lesson 5: Solving Quadratic Equations by Taking the Square Roots | #5(a, c, e), 6, 9(a - d), 10(a, c) |
| Chapter 13 | 13.6 | Lesson 6: Completing the Square | #4(a - c), 6, 9(a - e), 10(a, b) |
Week 25
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 13 | 13.7 | Lesson 7: The Quadratic Formula | #4(a, c), 6, 7(a, b, c), 8(a) |
| Chapter 13 | 13.8 | Lesson 8: The Discriminant | #4, *5, 6, 7, 8 |
Week 26
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 13 | 13.R | Chapter 13 Review | Set II Exercises #1, 2(a), 3, 6(b), 7(c), 8(a), 9, 10(a - c) |
| Chapter 13 | 13.T | Chapter 13 Test | test and solutions available as a pdf |
Week 27
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 14 | 14.1 | Lesson 1: More about Rational Numbers | #5, 7(a, b), 8(a - c) |
| Chapter 14 | 14.2-4 | Lesson 2: Irrational Numbers | #5, 6(a, c, e, f, h), 7 |
| Chapter 14 | Lesson 3: nth Roots | #4, 5 | |
| Chapter 14 | Lesson 4: Pi | #4, 5 | |
| Chapter 14 | 14.5 | Lesson 5: The Real Numbers | #4, 5, 6, 8(b, c), 10(a - d) |
Week 28
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 15 | 15.1 | Lesson 1: Ratio & Proportion | #4, 5(a, c, e, g), 6(a - e), 7 |
| Chapter 15 | 15.2 | Lesson 2: Equations Containing Fractions | #4(a, c, e), 5, 6(b, c, d, g, i), 7(a) |
Week 29
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 16 | 16.1 | Lesson 1: Inequalities | #5, 6, 7(a, c, d, f, h, j, k, n), 8(a, c, d, f, h, j, k, n), 9(a - c), 10(a, b) |
| Chapter 16 | 16.2 | Lesson 2: Solving Linear Inequalities | #5, 6(a, b, d, e, j, m), 8, 9(a - c) |
Week 30
| Section | Code | Lesson | Assignment |
|---|---|---|---|
| Chapter 16 | R | Chapter 14 Review | Set II Exercises #1, 2(b), 3(a, b), 6, 14, 15 (a - c) |
| Chapter 16 | Chapter 15 Review | Set II Exercises #1, 2, 4(a - c, e, f) | |
| Chapter 16 | Chapter 16 Review | Set II Exercises #2, 3(a, b), 4(a), 5(a - c), 6(a - g) | |
| Chapter 16 | T | Chapters 14-16 Test | test and solutions available as a pdf |