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### Estimated Completion Time

2 segments / 36 weeks

### Overview

Students who love playing interactive games will love this course. Students experience intrigue and fun when they login to Pre-Algebra. This hands-on course is full of animations, applications, videos, games, and real-world scenarios. The satisfaction students gain from truly understanding higher level concepts such as systems of equations and central tendencies encourage excitement and joy for learning they may have never experienced before.

The instruction in this course will focus on three critical areas: (1) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations.

Note: content varies depending on the course version. For currently enrolled students, please refer to the syllabus located in the course information area for curriculum specifics.

### Course Requirements

To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, “any pace” still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is monthly. When teachers, students, and parents work together, students are successful.

### Major Topics and Concepts

#### Segment 1

Module 01 Real Numbers and Exponents

• The Number Line
• Exponent Rules Part I
• Exponent Rules Part II
• Square and Cube Roots
• Scientific Notation
• Operations with Scientific Notation

Module 02 Geometric Transformations

• Translations
• Reflections and Rotations
• Congruent Figures
• Similar Figures
• Transversals
• Triangle Angles

Module 03 Geometric Relationships

• The Pythagorean Theorem
• Pythagorean Theorem Applications
• The Pythagorean Theorem on the Coordinate Plane
• Volume Part I
• Volume Part II

Module 04 Functions

• Introduction to Functions
• Comparing Functions
• The Linear Function
• Graphs of Functions

#### Segment 2

Module 05 Linear Relationships

• Graphs of Proportional Relationships
• Slope-Intercept Form
• Constructing Linear Functions
• Interpreting Linear Models
• Applications of Linear functions

Module 06 Patterns of Association

• Scatter Plots
• Line of Best Fit
• Interpreting Lines of Best Fit
• Frequency Tables

Module 07 Linear Equations

• Algebraic Properties and One-Step Equations
• Two-Step Equations
• Solving Linear Equations
• Equations with Variables on Both Sides
• Equations with Rational Coefficients

Module 08 Linear Systems

• Systems of Equations
• Solve by Graphing
• Solve by Substitution
• Solve by Elimination
• Applications of Systems

### Competencies

• Real Numbers and Exponents
Students will demonstrate an understanding of real numbers and exponents by identifying real numbers, simplifying powers using exponent rules, calculating square and cube roots, and solving problems involving scientific notation.
• Geometric Transformations
Students will demonstrate an understanding of geometric transformations by identifying transformations, differentiating congruence and similarity, explaining transversals, and calculating triangle angles.
• Geometric Relationships
Students will demonstrate an understanding of geometric relationships by solving real-world problems using the Pythagorean Theorem and solving real-world problems involving volume.
• Functions
Students will demonstrate an understanding of functions by explaining properties of functions, analyzing linear functions, and evaluating graphs of functions.
• Linear Relationships
Students will demonstrate an understanding of linear relationships by graphing proportional relationships, evaluating equations written in slope-intercept form, and analyzing linear functions.
• Data Analysis
Students will demonstrate an understanding of data analysis by creating scatter plots and frequency tables and evaluating lines of best fit.
• Linear Equations
Students will demonstrate an understanding of linear equations by solving one- and two-step linear equations, solving linear equations with variables on both sides, and solving linear equations with rational coefficients.
• Linear Systems
Students will demonstrate an understanding of linear systems by describing systems of equations, graphing systems of equations, solving systems of equations using substitution and elimination, and solving problems modeled by systems of equations.