Introduction & Information
Advanced Pre-Algebra / Algebra 1 Lite


Welcome to Advanced Pre-Algebra / Algebra 1 LITE


Who can benefit from this curriculum?


Philosophy of Curriculum

The philosphy of this curriculum is based on breaking down complex mathematical procedures into smaller to understand pieces and to link these procedures to the related concepts. The course is designed to cover the full range of concepts covered in Algebra but instead of getting to complex problems, this program focuses on building a strong understanding of the core concepts. The idea is that once students have a strong grasp of the core ideas presented in Algebra 1, they will more easily be able to do the more complex problems later and be very successful in a full Algebra 1 class or be well prepared for Algebra 2 and beyond.


Can a student learn from this curriculum with no outside teacher interaction?

This depends on the student's situation.  Self-learners, adults, and high school students taking this as a review course will be able to do the class as a stand-alone class with no outside help from another source. 

Younger students, students with learning struggles or learning disabilities, and students with Attention Deficit Disorder will need some teacher interaction but the teacher could be a parent who should be able to help the student just from reading the examples and text themselves.


How do you take this course?

Reading "math" is not something kids like to do, so this curriculumn tries to keep the "reading" to a minimum and build concepts through examples.  It is very important that the student follows each example and understands how each step is derived.  It is also vital that students do each student practice.  I suggest that students write down the problems on a sheet of paper (do not just do the problems in their head), work them out and then check their answers by rolling the mouse of the answer tab. 

 How are the units set up?


Units have general definitions and then show examples of problems worked out with an explanation of every step. It is important the student follows and understands each step before moving to the next example. After some examples, student practice is given. Students need to write out these problems and solve before checking their answers! Each student practice builds up with more complicated concepts and then a mixed student homework is given. I would suggest that you print out a copy of the unit at the beginning so that students can work through the homework problems without being tempted to just look at the answer. Many of the solutions will give an intermediate step before it gives the answer. Any problems from the homework that are incorrect, should be corrected by the student.

Finally, the unit ends with a chapter test. Solutions to the test are accessible through a separate file. CLICK HERE FOR TEST SOLUTIONS.

How do I know if the student is adequately prepared for this course?

A pre-assessment is available at this PRE-ASSESSENT LINK.




Advanced Pre-Algebra Table of Contents

Unit 1:  Signed Numbers

  1. Adding signed numbers
  2. Subtracting signed numbers
  3. Multiplying and dividing signed numbers
  4. Homework
  5. Assessment

Unit 2:  Order of Operations

  2. Homework
  3. Assessment

Unit 3:  Exponents

  1. Using powers with signed numbers and parentheses
  2. Apply the 3 rules of exponents
  3. Negative exponents
  4. Combining like terms (adding and subtracting)
  5. Multiplying and dividing with exponents
  6. Homework
  7. Assessment

Unit 4:  Solving Equations

  1. Understanding inverse operations and solving 1-step equations
  2. Solving 2-step equations
  3. Solving equations with variables on both sides
  4. Solving equations using the distributive property
  5. Solving equations with fractional terms
  6. Homework
  7. Assessment

Unit 5:  Percents

  1. Converting from words to algebraic expressions using percents
  2. Percent of change
  3. Homework
  4. Assessment


Unit 6:  Inequalities and Absolute Values

  1. Solving inequalities
  2. Compound inequalities:  the AND case
  3. Compound inequalities:  the OR case
  4. Solving absolute value problems:  the = case
  5. Solving absolute values problems:  the < case
  6. Solving absolute values problems:  the > case
  7. Homework
  8. Assessment

Unit 7:  Radicals

  1. Perfect Square roots
  2. Square roots with irrational parts
  3. Square roots with variable parts
  4. Rationalizing the denominator
  5. Homework
  6. Assessment

Unit 8:  Factoring and Solving Quadratic equations

  1. Factoring out Greatest Common Factors
  2. Solving quadratics with simple factoring
  3. Solving quadratics with advanced factoring
  4. Solving quadratics with Perfect Square = Perfect Square
  5. Solving quadratics by completing the square
  6. Solving quadratics by using the Quadratic Formula
  7. Homework
  8. Assessment

Unit 9:  Linear Equations

  1. Translations of linear, quadratic, and absolute values
  2. Locating slopes and y-intercepts
  3. Finding x-intercepts
  4. Understanding slope directions
  5. Graphing lines by using slope and y-intercept
  6. Calculating slope with 2 points
  7. Finding equations of lines with point slope formula
  8. Finding equations of lines through 2 points
  9. Finding equations of line parallel or perpendicular to a given line through a given point
  10. Homework
  11. Assessment

Unit 10:  Solving Systems of Equations

  1. Solving systems of equations graphically
  2. Solving systems of equations by 1- step elimination
  3. Solving systems of equations by 2-step elimination
  4. Solving systems of equations by substitution
  5. Homework
  6. Assessment

Unit 11:  Word Problems

  1. Consecutive integer problems
  2. Basic Distance = Rate X Time problems
  3. Mixture Problems
  4. Coin Problems
  5. Homework
  6. Assessment

Unit 12:  Summary sheets & Final Exam

  1. Summary sheet:  Unit 1
  2. Summary sheet:  Unit 2
  3. Summary sheet:  Unit 3
  4. Summary sheet:  Unit 4
  5. Summary sheet:  Unit 5
  6. Summary sheet:  Unit 6
  7. Summary sheet:  Unit 7
  8. Summary sheet: Unit 8
  9. Summary sheet:  Unit 9
  10. Summary sheet:  Unit 10
  11. Summary sheet:  Unit 11
  12. Final Exam

Purchase Information


To purchase the full version of this ecourse you will need to go to our Purchase Page below.