Pre-Algebra — Course Description- 3 credits

Pre-Algebra is an essential preparatory course designed to establish a comprehensive foundation in mathematical reasoning prior to the study of Algebra I. This course provides a structured examination of numerical operations, proportional relationships, introductory algebraic expressions, and fundamental geometric concepts. Emphasis is placed on accuracy, logical thinking, and the development of analytical skills required for higher-level mathematics.

Students will engage in the study of whole numbers, integers, fractions, decimals, ratios, and percentages, along with the principles of equations, inequalities, and introductory coordinate graphing. Instruction further includes exposure to problem-solving techniques and the precise use of mathematical vocabulary.

Upon successful completion of this course, students will demonstrate increased competency in essential Pre-Algebra concepts and will be academically prepared to advance to Algebra I or equivalent coursework.

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Pre-Algebra

Course Code: MTH 1

Course Type: Foundational Mathematics
Credit Hours: Non-Credit / Preparatory
Delivery Format: In-Person or Hybrid
Length: 6 Weeks (Adjustable per Academy schedule)

 

Course Description

Pre-Algebra is a foundational mathematics course designed to prepare students for the study of Algebra I and higher-level quantitative coursework. This course provides a structured and comprehensive exploration of essential mathematical concepts, emphasizing computational fluency, logical reasoning, and the development of strong analytical skills. Instruction includes whole numbers, integers, fractions, decimals, ratios, proportions, percentages, algebraic expressions, equations, inequalities, introductory geometry, and coordinate graphing.

Students will engage in guided instruction, problem-solving exercises, and applied practice that reinforce conceptual understanding and mathematical accuracy. The course also focuses on the precise application of mathematical terminology and the development of disciplined study habits necessary for success in subsequent mathematics courses.

 

Course Objectives

Upon successful completion of this course, students will be able to:

1. Demonstrate proficiency with whole numbers, integers, fractions, decimals, and percentages.

2. Apply ratio, rate, and proportion concepts to real-world and mathematical scenarios.

3. Interpret, evaluate, and simplify algebraic expressions using appropriate mathematical properties.

4. Solve one-step and two-step linear equations and inequalities.

5. Apply foundational geometric concepts to determine perimeter, area, and volume.

6. Plot points on the coordinate plane and interpret basic graphical representations.

7. Utilize mathematical reasoning and problem-solving strategies with clarity and accuracy.

 

Topics Covered

• Number Theory and Operations

• Integers and Rational Numbers

• Fractions, Decimals, and Ratios

• Proportions and Percent Applications

• Algebraic Expressions and Properties

• Linear Equations and Inequalities

• Fundamentals of Geometry

• Introduction to the Coordinate Plane

• Mathematical Vocabulary and Reasoning

 

Instructional Methods

• Direct Instruction & Guided Demonstration

• Individual and Group Problem Solving

• Structured Practice Sets

• Real-World Applications

• Formative Assessments and Cumulative Review

 

Prerequisites

No formal prerequisites. Basic arithmetic competency recommended.

 

Evaluation Methods

• Weekly Assignments

• Quizzes and Concept Checks

• Cumulative Assessment or Final Project

• Instructor Observation of Skills Mastery

 

Recommended Audience

This course is appropriate for middle-school and high-school learners, adult learners seeking skill reinforcement, and students preparing for Algebra I or college-readiness pathways.

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