# #1 Homeschool Math Curriculum

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## Foundations

Foundations prepare students for the topics in algebra by teaching them the most basic and fundamental skills in mathematics.

This course is designed to bring students of all skill levels up to speed on the knowledge required for Pre-Algebra. By the end of this course, students will be confident in using regrouping when adding, subtracting and multiplying large numbers by hand. Students will also learn the fundamental properties of exponents and how to solve multi-step problems using the correct order of operations.

Learn more## Pre-Algebra

Pre-algebra uses the fundamental skills learned in foundations to build an understanding of the basic concepts in algebra.

Two new number concepts are introduced: the integers and the rational numbers. Students learn the difference between a number and a variable, and how to solve simple equations with one variable. Students will gain further practice with decimals and percent, and solve problems involving simple and compound interest. Simple polynomials are introduced, which students will learn to add, subtract, and use the distributive property to multiply.

Learn more## Algebra I

Algebra I is the critical link between the elementary concepts of Pre-Algebra and the more advanced upper-level topics of Algebra II and Pre-Calculus.

It expands on material introduced in Pre-Algebra while introducing functions, systems of linear equations and trigonometry. The primary goal of Algebra I is for students to develop beyond understanding rudimentary mathematical operations to comprehend more abstract algebraic ideas.

Learn more## Algebra II

Algebra II is the direct successor to Algebra I and builds on each of the concepts studied within it.

Emphasis on functions returns as the functional families learned in Algebra I are studied in more detail. Algebra II expands on quadratic, polynomial, exponential, radical and rational functions and introduces logarithmic functions. Students learn how to use and operate on complex numbers so that complex solutions of quadratic and polynomial functions can be considered. This course focuses on more abstract and theoretical concepts, allowing students to improve their critical thought processes. The primary goal of this course is for students to own a strong understanding of all types of functions and prepare them for Pre-Calculus.

Learn more## Geometry

Geometry uses mathematics to study physical and abstract objects in space. Spatial awareness is closely related to geometry and is essential for solving abstract problems in upper-level courses such as Linear Algebra and Calculus.

This course requires students to think critically and use logic to prove mathematical theorems and principles. Topics covered in this course include logic and reasoning, distance and length, angles, polygons, circles, perimeter, area, the coordinate plane, transformations, trigonometry, volume, surface area, and probability. This course is best taken in between Algebra I and Algebra II. While not a direct successor to Algebra I, Geometry requires that students have a strong foundation of algebraic skills in order to manipulate equations and solve problems that arise in Geometry. By completing Geometry, students become better prepared for Algebra II, improving their problem-solving skills, abstract and critical thinking, spatial awareness, and logical reasoning.

Learn more## Pre-Calculus

Pre-Calculus is the direct successor to Algebra II. It builds on the concepts of Algebra II and prepares students for Calculus.

Pre-Calculus plays a crucial role in preparing students for calculus and post-secondary mathematics. This course focuses on more abstract and theoretical concepts, allowing students to improve their critical thought processes. The primary goal of this course is for students to own a thorough understanding of all types of functions and prepare them for Calculus.

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