# Mathematics

## Mathematics

The Mathematics Program at Falcon Creek Middle School is based on the philosophy that mathematics is indispensable for understanding our world and being informed members of society.  In such a world, those who understand and can do math will have opportunities that others do not.  To this extent, all students deserve an opportunity to access a rigorous, high-quality mathematics education that enables them to fulfill personal ambitions and career goals in an ever-changing world.

Following are the curriculum areas for each grade level, which are aligned with the Cherry Creek School District Middle School Curriculumand Colorado State Standards.

Math 6

Connecting ratio and rate to whole number multiplication, division, and using concepts of ratio and rate to solve problems

Complete understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers

Writing, interpreting, and using expressions and equations

Developing understanding of statistical thinking

This work will lay the foundation for the focus on proportional reasoning in 7th grade.

Math 6/7

Connecting ratio and rate to whole number multiplication, division, and using concepts of ratio and rate to solve problems;  to include proportional relationships

Complete understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers

Writing, interpreting, and using expressions and equations

Developing understanding of statistical thinking; to include statistical inference based on samples

The compacted nature of the course will require students to be comfortable and proficient in learning math at an accelerated pace.  Placement in Math 6/7will be determined using a body of evidence to support students’ readiness for success in this course.

Math 7

Developing understanding of and applying proportional relationships

Developing understanding of operations with rational numbers and working with expressions and linear equations

Solving problems involving scale geometric ideas of scale, area, surface area, and volume with 2- and 3-dimentional shapes

Drawing inferences about populations based on samples

This work will lay the foundation for the algebraic work with linear functions studied in 8th grade.

Math 7/8

Developing understanding of operations with rational numbers and working with expressions and linear equations, and the geometric study of 2- and
3-dimensional shapes

Solving problems involving scale geometric ideas of scale, area, surface area, and volume with 2- and 3-dimentional shapes

Drawing inferences about populations based on samples

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

Developing and understanding the concept of a function, and use functions
to describe quantitative relationships

Analyzing 2- and 3-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem

The compacted nature of the course will require students to be comfortable and proficient learning math at an accelerated pace.  Placement in Math 7/8will be determined using a body of evidence to support students’ readiness for success in this course.

Math 8

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

Developing and understanding the concept of a function, and use functions
to describe quantitative relationships

Analyzing 2- and 3-dimensional space and figures using distance, angle, similarity, and congruence, understanding and applying the Pythagorean Theorem

This course will lay the foundation for success in a high school Algebra I course.

Algebra 1

Using equations and inequalities to model real-life quantities and manipulating them to highlight quantities of interest while focusing on the underlying structures of equations and inequalities

Understanding the concept of a function, the use of function notations, and the structures of exponential functions and how they compare and contrast with linear functions

Working with quadratic functions through a structural perspective and in comparison to linear and exponential functions.

These concepts lay the foundations for analytic geometry concepts in a subsequent geometry course and for study with different function types in Algebra 2 and other advanced math courses.  This course is equivalent to the Algebra 1 course taught at CCSD high schools.