(Fall 2023) Algebra I (Saxon), Part One with Jean Hoeft

Learn the skills of Algebra 1 with Saxon math for a solid understanding of algebraic expressions, scientific notations, polynomials, and more to master algebra with confidence.

How to get the most out of Saxon Algebra, Part One with Jean Hoeft:

  • First, read the course materials assigned before the class meeting each week.

  • Then have a notebook, text, and calculator ready and available for class notes each live session.

  • Read Lessons assigned before the first meeting and watch the recorded lecture.

  • Come to class and be an active member of our class.

  • Watch that week’s recording if you need to revisit information from our live session.

  • Do the assignments, test, and any extra work assigned for that week.  Turn it in before it is due, to ensure that it is not late.  Remember, assignments and tests are due at 9:00 a.m. the day of class.

  • Once the course is completed to the parent's and professor’s satisfaction, there is a Certificate of Completion at the end to be filled in for your records.

Total Classes: 14

Duration: 55 minutes for live classes. 

Prerequisite: Saxon 8/7, Algebra ½, or equivalent

Suggested Grade Level: 9th grade and up

Suggested Credit: One full semester Math

Instructor: Jean Hoeft, MA

Instructor Email: Jean.Hoeft.forjesus@gmail.com

Course Description: Did you know that every time you cross the street, algebra saves your life? Yes, you use algebra every day! In this course, students will study all concepts in Algebra 1 from linear to nonlinear equations, graphing and numerical studies with an emphasis on practical application. In its entirety this course involves all concepts needed to fulfill national requirements for Algebra I. The topics include, but are not restricted to, operations with integers, rules of multiplicative identity and additive identity, equation solving, exponential function relations, quadratic function relations and their graphs, Cartesian graphing, polynomial relations and functions, radicals and their properties, as well as some work with geometric properties as a background for use in Algebra II.

Course Outline:

  • Week One: Lessons 1-5

Topics to Include: Review of Pre-Algebra

  • Week Two: Lessons 6-10

Topics to Include: opposite of a number; area; rules for multiplication and division of integers; inverse operation; division by zero

  • Week Three: Lessons 11-15

Topics to Include: reciprocal and multiplicative inverse; order of operations; symbols of inclusion; multiplication of integers; evaluating algebraic expressions; surface area

  • Week Four: Lessons 16-20

Topics to Include: more complicated evaluations; factors and coefficients; terms; distributive property; exponents, powers of negative numbers, roots; volume

  • Week Five: Lessons 21-24

Topics to Include: product rule for exponents; addition of like terms; numerical and algebraic expressions; equivalent equations; additive and multiplicative property of equality

  • Week Six: Lessons 25-28

Topics to Include: Solutions of Equations; Distributive Property; Simplifying Decimal Equations; Fractional parts of numbers; Function notation

  • Week Seven: Lessons 29-32

Topics to Include: distributive property; inequalities; ratio problems; trichotomy axiom; quotient rule for exponents

  • Week Eight: Lessons 33-36

Topics to Include: addition of like terms; solving multi-variable equations; least common multiple; addition of rational expressions with unequal denominators; range, median, mode and mean

  • Week Nine: Lessons 37-40

Topics to Include: conjunctions; percents; polynomials: degree and addition of; multiplication of polynomials; polynomial equations

  • Week Ten: Lessons 41-44

Topics to Include: graphs of linear equations; addition of rational expressions; power rule for exponent; substitution axiom; complex fractions

  • Week Eleven Lessons 45-48

Topics to Include: finite and infinite sets; addition of algebraic expressions; percent; rearranging before substitution; geometric solids

  • Week Twelve: Lessons 49-52

Topics to Include: Sets of Real Numbers; Square roots; Products of square roots; domain; addition of Radical Expressions; Weighted Averages

  • Week Thirteen: Lessons 53-56

Topics to Include: Simplification of Radical Expressions: Equivalent Equations; Elimination; Complex Fractions; Factoring Trinomials; Probability

  • Week Fourteen: Review and Final Exam

Course Materials: Saxon Algebra I Homeschool Kit, Third Edition 

Homework: 4-5 assignments of 15-20 problems per lesson. Expect to spend 30 to 60 minutes a day on homework.