**Introduction & Information**

Advanced Pre-Algebra / Algebra 1 Lite

**Welcome to Advanced Pre-Algebra / Algebra 1 LITE**

- Advanced 5
^{th}, 6^{th}, or 7^{th}graders who have mastered all arithmetic topics and will be preparing to take Algebra 1. - High school math students who tend to struggle in math and needs an overview of the main concepts prior to taking Algebra 1.
- High school students who are getting ready to take Algebra 2 but need a firm foundation and review of Algebra 1 concepts to keep them successful in Algebra 2.
- Adult students who haven't reviewed Algebra for a long time who need it as a pre-requisite for a college math class.
- Students with learning struggles or learning disabilities who would not be successful in an Algebra 1 class but still want to gain a strong exposure to Algebra concepts.

**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.

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.

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.**

- Adding signed numbers
- Subtracting signed numbers
- Multiplying and dividing signed numbers
- Homework
- Assessment

- PEMDAS
- Homework
- Assessment

- Using powers with signed numbers and parentheses
- Apply the 3 rules of exponents
- Negative exponents
- Combining like terms (adding and subtracting)
- Multiplying and dividing with exponents
- Homework
- Assessment

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

- Converting from words to algebraic expressions using percents
- Percent of change
- Homework
- Assessment

- Solving inequalities
- Compound inequalities: the AND case
- Compound inequalities: the OR case
- Solving absolute value problems: the = case
- Solving absolute values problems: the < case
- Solving absolute values problems: the > case
- Homework
- Assessment

- Perfect Square roots
- Square roots with irrational parts
- Square roots with variable parts
- Rationalizing the denominator
- Homework
- Assessment

- Factoring out Greatest Common Factors
- Solving quadratics with simple factoring
- Solving quadratics with advanced factoring
- Solving quadratics with Perfect Square = Perfect Square
- Solving quadratics by completing the square
- Solving quadratics by using the Quadratic Formula
- Homework
- Assessment

- Translations of linear, quadratic, and absolute values
- Locating slopes and y-intercepts
- Finding x-intercepts
- Understanding slope directions
- Graphing lines by using slope and y-intercept
- Calculating slope with 2 points
- Finding equations of lines with point slope formula
- Finding equations of lines through 2 points
- Finding equations of line parallel or perpendicular to a given line through a given point
- Homework
- Assessment

- Solving systems of equations graphically
- Solving systems of equations by 1- step elimination
- Solving systems of equations by 2-step elimination
- Solving systems of equations by substitution
- Homework
- Assessment

- Consecutive integer problems
- Basic Distance = Rate X Time problems
- Mixture Problems
- Coin Problems
- Homework
- Assessment

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

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