Back to Learning Catalog

Open

### 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

• Exponent Properties
Students will demonstrate an understanding of exponent properties by using zero, product, quotient, power and negative exponent rules to simplify exponential expressions to solve real world and mathematical problems involving powers of 10 and scientific notation.
• Translations, Reflections and Rotations
Students will demonstrate an understanding of congruency and similarity by using a sequence of reflections, translations, rotations, and/or dilations with two-dimensional figures in the coordinate plane and by making informal arguments using triangle angle sum property, angle measures created when parallel lines cut by a transversal, and/or the angle-angle criterion to solve triangular problems.
• Geometric Relationships
Students will demonstrate an understanding of geometric concepts including Pythagorean Theorem and volume by applying the Pythagorean theorem, solving real world problems and finding the volume of cones, spheres, and cylinders.
• Functions
Students will demonstrate an understanding of functions by identifying if relations are functions and comparing properties of functions presented in a variety of representations.
• Linear Relationships
Students will demonstrate an understanding of linear relationships by finding slope as rates of change, constructing functions to model linear relationships, and interpreting functions from a variety of representations and applications.
• Data Analysis
Students will demonstrate an understanding of data analysis by constructing and interpreting scatter plots, lines of best fit, and frequency tables to make predictions and draw conclusions about data.
• Linear Equations
Students will demonstrate an understanding of linear equations by identifying mathematical problems modeled with linear equations and solving one and multi step linear equations in mathematical and real world problems.
• System of Equations
Students will demonstrate an understanding of systems of equations by identifying and solving both analytically and graphically systems of linear equations with two variables using a variety of methods and real world applications.