Adams City Middle School
     4451 East 72nd Avenue
     Commerce City, CO 80022
  303.289.5881    303.288.8574
communications@adams14.org

ACMS Mathematics

 Course Descriptions
Math 6

In Math 6, instructional time will focus on five critical areas:


(1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems;

(2) completing understanding of 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;

(4) developing understanding of statistical thinking; and

(5) reasoning about relationships among shapes to determine area, surface area and volume.

Honors Math (6/7 math)

In Math 6/7, instructional time will focus on six critical areas:

(1) connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems;

(2) developing understanding of and applying proportional relationships;

(3) completing understanding of division of fractions and developing understanding of rational numbers and of operations with rational numbers;

(4) reasoning about relationships among shapes to determine area, surface area and volume;

(5) writing, interpreting, and using expressions and equations; and (6) developing understanding of statistical thinking and drawing inferences about populations based on samples.

 
Course Descriptions
Math 7

In Math 7, instructional time will focus on four critical areas:


(1) developing understanding of and applying proportional relationships;

(2) developing understanding of operations with rational numbers and working with expressions and linear equations;

(3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume;

(4) drawing inferences about populations based on samples.

Honors Math (math 7/8)

In Math 7/8, instructional time will focus on four critical areas:

(1) formulating and reasoning about expressions and equations, including modeling and association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; 

(2) grasping the concept of a function and using functions to describe quantitative relationships;

(3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem; 

(4) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume.

 

 

 
Course Descriptions
Math 8

In Math 8, instructional time will focus on three critical areas:

(1) formulating and reasoning about expressions and equations, including modeling and association in bivariate data with a linear equation, and solving linear equations and systems of linear equations;

(2) grasping the concept of a function and using functions to describe quantitative relationships;

(3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.

Algebra I

Algebra 1 expands on the foundation of algebraic thinking laid in middle school by requiring explanations of reasoning and adding linear inequalities and
polynomials. Multiple representations of exponential and quadratic functions are analyzed to contrast with the linear models studied in middle school.

Topics of study include:

  • Algebraic reasoning
  • functions
  • linear functions
  • statistical models
  • solving linear equations and inequalities
  • systems of linear equations and inequalities
  • exponential functions, quadratic functions and quadratic equations
Geometry

Geometry develops the tools of geometry, including transformations,proof, and constructions, and uses them throughout the course to explore geometric situations and deepen explanations of geometric relationships, moving towards formal mathematical arguments.

Topics of study include:

  • Geometry transformations 
  • angles and lines
  • triangles,
  • triangle congruence
  • similarity transformations 
  • right triangle trigonometry
  • quadrilaterals
  • circles
  • geometric modeling and three dimensional modeling