*Pre-Algebra is not an a-g approved course*

Students will use the basic tools of Algebra to understand the correct order of operation, variables, operations with rational numbers, know the difference between expressions and equations , one step and multistep equations, inequalities, tables and graphs, ratios, unit rates, proportions, and percentages.  Students will understand these principles in theory and in real-world application.

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Units:

• Intro to Algebra 

• Operation with integers

• Operation with rational numbers

• Expressions and Equations

• One step and Multi-step equations

• Ratios, Proportions

• Percentages

• Linear Functions & Graphs

• Power & Nonlinear Functions

• Real Number System & Right Triangles

• Distance Formula & Angles

• Surface Area & Volume

• Introduction to Statistics & Probability

Students in the Algebra 1 course will expand on their knowledge of integers and the real  number system gleaned in their Pre-Algebra course by simplifying expressions using the correct order of operations, as well as solving equations, systems and inequalities. Graphing technology will be employed throughout the course to graph, interpret, and analyze functions, lines, and more advanced relations. In addition, students will utilize graphing technology to compare linear, quadratic, and exponential models to solve problems and interpret data using statistics and probability.

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Units:

• Expressions, Equations, and Functions

• Linear Equations

• Linear Functions

• Equations of Linear Functions

• Linear Inequalities

• Systems of Linear Equations and Inequalities

• Exponents and Exponential Functions

• Quadratic expressions and equations 

• Quadratic functions  and equations 

• Radical Functions and Geometry 

• Rational Functions and Equations 

• Statistics and Probability

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Prerequisite: Pre-Algebra 

**This course time is for 7th and 8th graders only**

Students in the Algebra 1 course will expand on their knowledge of integers and the real  number system gleaned in their Pre-Algebra course by simplifying expressions using the correct order of operations, as well as solving equations, systems and inequalities. Graphing technology will be employed throughout the course to graph, interpret, and analyze functions, lines, and more advanced relations. In addition, students will utilize graphing technology to compare linear, quadratic, and exponential models to solve problems and interpret data using statistics and probability. **This course will use Edmentum curriculum within HSVA - Live! All HSVA-Live policies will apply.**

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Units:

• Expressions, Equations, and Functions

• Linear Equations

• Linear Functions

• Equations of Linear Functions

• Linear Inequalities

• Systems of Linear Equations and Inequalities

• Exponents and Exponential Functions

• Quadratic expressions and equations 

• Quadratic functions  and equations 

• Radical Functions and Geometry 

• Rational Functions and Equations 

• Statistics and Probability

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Prerequisite: Pre-Algebra

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*Please review these steps that must be completed in order for a 7th / 8th grader to be enrolled in Algebra I with HSVA-Live!

Students in the Geometry course will learn about logic (inductive and deductive reasoning); lines and angles; proofs (formal and informal); parallel and perpendicular lines; triangles; and quadrilaterals. They will then move on to experimenting with transformations in a plane, constructing forms with a compass and straightedge, proving theorems involving similarity and congruence, applying trigonometric ratios to solve problems, finding arc lengths and areas of sectors of circles, modeling in two and three dimensions, using coordinates in analytic geometry applications, and investigating conditional probability and the probability of compound events.

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Units:

• Tools of Geometry

• Reasoning & Proof

• Parallel & Perpendicular Lines

• Congruent Triangles

• Relationships in Triangles

• Quadrilaterals

• Proportions and Similarity

• Right Triangles and Trigonometry

• Transformations and Similarity

• Circles

• Areas of Polygons and Circles

• Extending Surface Area and Volume

• Probability

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Pre-requisite: Algebra I

Students will learn about the complex number system and its use in the solutions to quadratic and higher-ordered, polynomial functions, in addition to furthering their knowledge of the real number system and solutions. They will expand their knowledge of functions to working with radical and rational functions. Students will learn about exponential functions and their inverses, logarithms. Students will continue the study of trigonometric functions begun in their geometry course, to include working with the unit circle and the modeling of periodic phenomena that commonly occur in nature and science. Students will prove and apply trigonometric identities. Other topics in Algebra 2 course will include sequences and series and the evaluation of data using Statistics and Probability.

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Units:

• Equations & Inequalities

• Linear Relations & Functions

• Systems of Equations & Inequalities

• Quadratic Functions & Relations

• Polynomials & Polynomial Functions

• Inverses & Radical Functions & Relations

• Exponential & Logarithmic Functions

• Rational Functions & Relations

• Conic Sections

• Sequences & Series

• Statistics & Probability

• Trigonometric Functions

• Trigonometric Identities & Equations

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Pre-requisite: Algebra I

Co-requisite: Geometry

Consumer Math is an algebra-based, mathematical modeling course that will solve applications that occur in everyday financial life. The purpose of this course is to lay a foundation in both logical thinking and problem solving while applying these skills to everyday financial decisions. Students will expand gain a deeper understanding of Algebra I by directly relating standards and lesson topics to common consumer problems they will face in the real world. Lesson topics will include rational numbers, algebraic expressions, analyzing and solving linear equations and inequalities, data analysis, probability, statistics, and polynomials. Students will learn skills to help them understand the cost of operating a vehicle, income, budgeting, buying and renting a home, filing taxes, banking, investments, and calculating business profits and losses. Students will investigate relationships between variables and solve problems using equations, graphs, and tables; specifically, they will do so through the lens of consumer mathematics. Students will then be able to apply these skills to real-life circumstances.

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Units:

• Career Preparation

• Income

• Shopping

• Transportation

• Travel & Leisure

• Banking & Loans

• Housing

• Investments

• Budgeting

• Federal Taxas & Records

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Pre-requisite: Algebra I

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