# Horizon Middle School Eighth Grade Mathematics

• Math (Pre-Algebra): The purpose of this course is to satisfy the 8th Grade Mathematics requirement of the Common Core Mathematics Standards recently adopted by the State of Colorado. This course fits into an overall program of mathematics studies with a rigorous academic core by extending what students have learned in the introductory-level mathematics courses as well as introducing more advanced topics. These advanced topics include: understanding our number system, single step and multi-step equations, solving, graphing, and writing linear equations and inequalities, linear systems, exponents, scientific notation and polynomials.

Algebra 1: The purpose of this course is to satisfy the Algebra I requirement of the Common Core Mathematics Standards recently adopted by the State of Colorado. This course fits into an overall program of mathematics studies with a rigorous academic core by extending what students have learned in Pre- Algebra as well as introducing more advanced topics. These advanced topics include: understanding our number system, solving, graphing, and writing linear equations and inequalities, linear systems, exponents, quadratics, polynomials, and factoring.

Geometry: This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions. It will include the study of transformations and right triangle trigonometry. Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed. The course also emphasizes writing proofs to solve (prove) properties of geometric figures.

# Mathematics Department Overview

• Mathematics is the abstract study of topics such as quantity (numbers), structure, space and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.

Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

Teaching mathematics is essential for all students as they grow to understand their world and become productive citizens. Mathematical models explain, celebrate, and analyze the world around us; from economic models on the stock market to musical models of symphonies, our world is mathematics. All Colorado students must understand mathematics and its relevance in their lives.

# Educational Content Areas

• The power of Colorado’s education improvement efforts lies in having a comprehensive system consisting of relevant and rigorous standards, aligned and meaningful assessments, excellent teachers and school leaders, and high-performing schools and districts. All aspects of the system are continuously improving to advance student learning and prepare students to succeed in an increasingly competitive workforce The Colorado Academic Standards are the expectations of what students need to know and be able to do at the end of each grade. They also stand as the values and content organizers of what Colorado sees as the future skills and essential knowledge for our next generation to be more successful. State standards are the basis of the annual state assessment.