Colorado Academic Standards Mathematics
The Colorado Academic Standards Mathematics, as developed by the Colorado Department of Education were revised in 2010.
The standards include:
- Number Sense, Properties, and Operations
- Patterns, Functions, and Algebraic Structures
- Data Analysis, Statistics, and Probability
- 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 | Middle School | High School |
---|---|---|
Preschool / Kindergarten standards | 6th grade standards | High School standards |
1st grade standards | 7th grade standards | |
2nd grade standards | 8th grade standards | |
3rd grade standards | ||
4th grade standards | ||
5th grade 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 eleven domains:
- Counting & Cardinality
- Operations & Algebraic Thinking
- Numbers & Operations in Base Ten
- Numbers & Operations - Fractions
- Measurement & Data
- Geometry - kindergaren
- 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 | Middle School | High School |
---|---|---|
By Conceptual Category | ||
Kindergarten | 6th Grade | Number and Quantity |
1st Grade | 7th Grade | Algebra |
2nd Grade | 8th Grade | Functions - High School |
3rd Grade | Modeling | |
4th Grade | Geometry - High School | |
5th Grade | 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.
- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for an express regularity in repeated reasoning.