Subject: Mathematics

Integrated Algebra

Course Type: Standard High School

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Credits: 1.0

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Course Description

Supporting students’ needs for engaging and interactive instruction, this course encourages students to apply previously learned skills to more advanced problems in an effort to gain mastery of algebraic concepts. This course, intended for high school students, covers familiar topics—such as statistical data, ratios, proportions and percentages, spatial thinking, sequences and patterns, and polynomials and functions—in a more comprehensive manner that challenges students in preparation for more complex subjects.

Textbook: Pre-Algebra ISBN-10 1938168992 ISBN-13 978-1-938168-99-4

Course Objectives

Perform operations with rational numbers and use them to simplify expressions

Use mathematical and algebraic expressions and equations to represent and solve a variety of mathematical and real-world problems

Understand the concept of a function and its use in representing relationships

Exercise proportional thinking and use it to analyze the connection between ratio, proportion, and percent

Understand geometric concepts and strengthen spatial reasoning

Develop and use problem-solving strategies

Use statistics to display, describe, and analyze data

Understand counting methods, and apply them to calculate probabilities

Starting is Easy

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Course Contents

Module TitleModule Topic(s)
Chapter 1: Whole Numbers
Chapter 2: The Language of Algebra
Chapter 3: Integers
Chapter 4: Fractions
Chapter 5: Decimals
Chapter 6: Percents
Chapter 7: The Properties of Real Numbers
Chapter 8: Solving Linear Equations
Chapter 9: Math Models and Geometry
Chapter 10: Polynomials
Chapter 11: Graphs

Recommended Prerequisites

Carnegie Credits Explained: Our Approach vs. Trimester Credits

Carnegie Credit System
Excel High School follows the Carnegie Credit system, a widely recognized method of measuring student progress based on instructional hours. A single Carnegie credit reflects approximately 120 hours of coursework, typically completed over a full academic year.

Carnegie Credit vs. Trimester Credit
While Carnegie credits are awarded based on total hours over a year, trimester credits divide the school year into three terms. In a trimester system, students complete courses in shorter, intensive sessions, often earning partial credits (e.g., 0.33 or 0.5 per term). In contrast, Excel’s use of Carnegie credits ensures students have ample time to engage deeply with the material and develop a well-rounded understanding at a consistent pace.

Accreditation You Can Trust

Recognized & Respected Nationwide

At Excel High School, we are proud to be regionally accredited by Cognia, along with additional accreditations from NCA, SACS, NWAC, and the Middle States Association. Our programs meet the same rigorous standards as public schools, giving you the confidence of earning a well-respected diploma.

Global Recognition for Our Accredited Diplomas

Excel High School’s regionally accredited diploma is accepted by colleges and universities around the world. With our recognized accreditation, you can confidently pursue higher education wherever your journey takes you.

Accreditation You Can Trust

Recognized & Respected Nationwide

At Excel High School, we are proud to be regionally accredited by Cognia, along with additional accreditations from NCA, SACS, NWAC, and the Middle States Association. Our programs meet the same rigorous standards as public schools, giving you the confidence of earning a well-respected diploma.

Global Recognition for Our Accredited Diplomas

Excel High School’s regionally accredited diploma is accepted by colleges and universities around the world. With our recognized accreditation, you can confidently pursue higher education wherever your journey takes you.