ALGEBRA IB

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Course Code: 1200380
Honors Course Code:
AP Course Code:
Description:

It’s time to finish what you started. In Algebra 1a, you learned that algebra is an efficient way to solve some real-world problems. You also acquired the power to do a lot of the important basic work. Now, after a quick review, you’ll be ready to tackle Algebra 1b.

This course works like the last one. You’ll get step-by-step instructions with all the numbers, equations, and graphs on the screen right in front of you. You’ll also have plenty of time to practice and plenty of opportunities to ask your teacher for help. Along with learning new algebraic strategies and properties, you’ll learn data analysis concepts and techniques. You’ll also see how algebra connects with other high school subjects like geometry, statistics and biology.

Together, Algebra 1a and 1b will meet your Algebra 1 requirement. These courses will also give you a powerful tool for understanding how the world works, and how to make it work for you.

Prerequisites: Algebra 1A

Estimated Completion Time: 2 segments / 32-36 weeks or 1 block/18 weeks

Major Topics and Concepts:

Segment 1

* Exponents and Order of Operations
* Variables, Expressions, and Equations
* Properties of Real Numbers, the Real Number System and Absolute Value
* Writing and Solving Linear Equations
* Using Formulas and Literal Equations
* Solving Absolute Value Equations
* Independent and Dependent Variables
* Functions, Domain and Range
* Representing Relationships, Function Notation and Function Rules
* Evaluating and Interpreting a Function
* Formulas
* Patterns of Change and Slopes and Rate of Change
* Horizontal and Vertical Lines
* Slope-Intercept, Standard, and Point-Slope Forms of a Linear Equations
* Scatter Plots from Data
* Absolute Value Functions
* Identifying Special Lines
* Solving Systems of Equations by Graphing
* Solving Systems of Equation using Substitution, Elimination, and Multiplication
* Applications of Linear Systems
* Graphing Linear Inequalities and Graphing Systems of Linear Inequalities
* Adding and Subtracting Polynomials
* Laws of Exponents
* Multiplying a Polynomial with a Monomial
* Multiplying Polynomials and Specials Products
* Polynomial Division
* Scientific Notation

Segment 2

* Factoring Polynomials (Greatest Common Factor, Difference of Squares, Perfect Square Trinomials, Factoring by Grouping, and Factoring Trinomials of the Types x2 + bx + c and ax2 + bx + c)
* Solving Quadratic Equations by Factoring
* Quadratic Functions and Quadratic Graphs
* The Quadratic Formula and Using the Discriminant
* Exponential Functions and Exponential Growth and Decay
* Simplifying Rational Expressions
* Adding, Subtracting, Multiplying, and Dividing Rational Expressions
* Solving Equations with Rational Expressions and Applications Using Rational Expressions
* Simplifying Radical Expressions
* Adding, Subtracting, Multiplying, and Dividing Radical Expressions
* Solving Equations with Radical Expressions
* The Pythagorean Theorem
* The Distance and Midpoint Formulas
* Probability
* Measures of Central Tendency (Mean, Median, and Mode)
* Statistical Graphs

Course Assessment and
Participation Requirements:

Besides engaging students in challenging curriculum, VLACS guides students to reflect on their learning and to evaluate their progress through a variety of assessments. Assessments can be in the form of self-checks and practice problems, worksheets, assignments, oral assessments, pre-tests and practice tests, quizzes, discussions, hands-on activities, and module and semester exams. Instructors evaluate progress and provide interventions through the variety of assessments built into a course, as well as through contact with the student in other venues.