Problem Solving in Algebra I, Part II
Problem Solving in Algebra I, Part II is a CTY Online course for 6-9 graders which has a prerequisite of qualifying scores on math for the SCAT and SAT, and completion of Problem Solving in Algebra I, Part I, or completion of Algebra I. Its course code is PS4 and the course length is usually 3 months.
Contents
Course Description
From the CTY Online Catalog:
CTY's Problem Problem Solving and Enrichment Math courses sharpen investigative skills, broaden mathematical understanding of concepts, and enhance reasoning skills. Designed around performance objectives that reflect national and state mathematical standards and drawing on software provided by Riverdeep, these courses demonstrate how mathematical issues arise out of real-life situations. Concepts are assessed through challenging quizzes and module tests. With the guidance of their instructors, students typically select enrichment or supplementary math courses of the appropriate level in between their accelerated courses to ensure a solid foundation and mastery of math concepts at each level.
In Problem Solving in Algebra I, Part II, students apply advanced algebraic concepts using a variety of techniques. Topics include concepts typically covered in second semester algebra, such as:
applications of the real number system powers and polynomials quadratic equations functions first and second degree equations linear best-fit graphs rational expressions Students refine and expand their skills through interactions, practice problems, and workout questions. Students are also invited to participate and ask questions in an open Help Room guided by instructors.
This course provides a solid foundation for students who will be advancing into Algebra II.
Topics
Module 1: The Real Number System
- Rational and Irrational Numbers
- Defining the Real Numbers
- Working with Radicals
- The Square Root Function
Module 2: Powers and Polynomials
- Polynomial Arithmetic
- Working with Powers
- Adding and Subtracting Polynomial Expressions
- Multiplying Polynomials
- Factoring Polynomials
- Finding Common Factors
- Factoring Quadratic Trinomials
- Special Cases
Module 3: Quadratic Functions & Equations
- Graphing Quadratic Functions and Equations
- Graphing Parabolas
- Analyzing Properties of Parabolas
- Solving Quadratic Equations by Graphing
- Solving Quadratic Equations Using Algebra
- Factoring and the Zero Product Theorem
- The Square Root Method and Completing the Square
- The Quadratic Formula
Module 4: Algebraic Expressions & Functions
- Radical Equations and Functions
- Solving Radical Equations
- The Inverse of the Square Root Function
- Rational Functions and Equations
- Rational Operations
- Rational Functions
- Rational Equations
Module 5: Describing Data
- Statistical Displays
- Stem-and-Leaf Plots and Box Plots
- Scatter Plots and Best-Fit Curves
