# Horizon Middle School Sixth Grade Mathematics

• This course will focus on four significant areas: (1) linking ratio and rate to multiplication and division of whole numbers and using the concepts of ratio and rate to solve problems; (2) fluency in division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers; (3) writing, interpreting, and using expressions and equations; and (4) advancing understanding of statistical applications.

# 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.