Colorado Math Standards

Colorado Academic Standards Mathematics

The Colorado Academic Standards Mathematics, as developed by the Colorado Department of Education were revised in 2010.

The standards include:

1. Number Sense, Properties, and Operations
2. Patterns, Functions, and Algebraic Structures
3. Data Analysis, Statistics, and Probability
4. Shape, Dimension, and Geometric Relationships

The standards are then broken down by Grade Level Expectations (GLE), approximately seven per grade level (K-8) with 14 for high school. The standards also address 21st century and postsecondary workforce readiness skills, as well as the integration of Personal Financial Literacy (PFL) indicators. The standards are designed to build upon themselves, creating a vertical articulation among the grade levels.

Elementary School

• Preschool / Kindergarten standards 
• 1st grade standards
• 2nd grade standards
• 3rd grade standards
• 4th grade standards
• 5th grade standards

Middle School

• 6th grade standards
• 7th grade standards
• 8th grade standards

High School

• High School standards

^{Common Core State Standards Mathematics}

The standards were drafted by experts and teachers from across the country to establish clear and consistent guidelines for what every student should know and be able to do. The Common Core State Standards Initiative has developed "What Parents Should Know" for further information about the development of the standards. The CCSSM calls for a shift in practice. The Publisher's Criteria K-8 and High School outlines the shift in practice breaking down and explaining focus, coherence, and the three elements of rigor: conceptual understanding, procedural skill and fluency, and application.

The standards are broken into 11 domains:

• Counting & Cardinality​​​​​​
• Operations & Algebraic Thinking
• Numbers & Operations in Base Ten
• Numbers & Operations - Fractions
• Measurement & Data
• Geometry - kindergarten
• Ratios & Proportional Relationships
• The Number System
• Expressions & Equations
• Functions - grade 8
• Statistics & Probability - 6th grade

At the high school, there are six conceptual categories, listed below, with sub-domains, vertically culminating from the eleven present at the elementary and middle school levels.

Elementary School

• Kindergarten
• 1st Grade  
• 2nd Grade
• 3rd Grade
• 4th Grade
• 5th Grade

Middle School

• 6th Grade 
• 7th Grade 
• 8th Grade 

High School

By Conceptual Category

• Number and Quantity
• Algebra
• Functions - High School
• Modeling
• Geometry - High School
• Statistics & Probability - High School

By Course

• Algebra 1 (Appendix A: p 15-26)
• Geometry Standards (Appendix A: p 27-35)
• Algebra 2 (Appendix A: p 36-43)

In addition to the standards, the Common Core State Standards Initiative developed the Standards for Mathematical Practice. The Standards for Mathematical Practice are a standard for developing students.

1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for an express regularity in repeated reasoning.