Problem Solving in Algebra I, Part I
Problem Solving in Algebra I, Part I is a CTY Online course for grades 6-9 with a prerequisite of qualifying math scores on the SCAT and SAT and a completion of a least one semester of Algebra I. It's course code is PS3 and it lasts usually about 3 months.
Contents
Course Description
From the CTY Online Catalog:
CTY's 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 I, students focus on the symbols and rules of algebra and how they are used to represent relationships. Topics include concepts typically covered in first semester algebra, such as:
translating words into mathematical expressions solving equations using multiple operations applications of linear equations and systems solving systems of linear equations and inequalities examining perpendicular and parallel lines solving absolute value equations Students master skills and concepts through practice problems, interactions within every lesson, and workout questions. Students are also invited to participate and ask questions in an open Help Room guided by instructors.
Topics
Module 1: The Language of Algebra
- Variables, Expressions, and Equations
- Translating Words into Expressions
- Applying Properties of Real Numbers
- Evaluating and Simplifying Expressions
- Linear Equations in One Variable
- Applying Inverse Operations
- Transforming Equations using Multiple Operations
- Solving Absolute Value Equations
Module 2: Linear Functions & Equations
- The Rectangular Coordinate Plane
- Graphing Ordered Pairs
- Defining Slope
- Finding x- and y-Intercepts
- Introduction to Functions
- Exploring the Slope-Intercept Equation of a Line
- Exploring the Point-Slope Equation of a Line
- Relations and Functions
Module 3: Systems of Linear Equations
- Graphic Solutions of Linear Systems
- Finding the Point of Intersection
- Graphing Parallel & Perpendicular Lines
- Algebraic Solutions of Linear Systems
- Using Substitution to Eliminate a Variable
- Using Addition or Subtraction to Eliminate a Variable
Module 4: Linear Inequalities
- Inequalities in One Variable
- Applying Inverse Operations
- Graphing Solutions on a Number Line
- Solving Absolute Value Inequalities
- Inequalities in Two Variables
- Graphing Solutions on a Rectangular Coordinate Plane
- Solving Systems by Graphing
