Mathematics

Welcome to Mathematics
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Quote that says Pure Mathematics is, in its way, the poetry of logical ideas. Attributed to Albert Einstein, Obituary for the Emmy Noether (1935)

Mathematics is the human activity of reasoning with number and shape, in concert with the logical and symbolic artifacts that people develop and apply in their mathematical activity. The National Council of Teachers of Mathematics (2018) outlines three primary purposes for learning mathematics:

To Expand Professional Opportunity. Just as the ability to read and write was critical for workers when the early 20th-century economy shifted from agriculture to manufacturing, the ability to do mathematics is critical for workers in the 21st century as the economy has shifted from manufacturing to information technology. Workers with a robust understanding of mathematics are in demand by employers, and job growth in STEM (science, technology, engineering, and mathematics) fields is forecast to accelerate over the next decade.
Understand and Critique the World. A consequence of living in a technological society is the need to interpret and understand the mathematics behind our social, scientific, commercial, and political systems. Much of this mathematics appears in the way of statistics, tables, and graphs, but this need to understand and critique the world extends to the application of mathematical models, attention given to precision, bias in data collection, and the soundness of mathematical claims and arguments. Learners of mathematics should feel empowered to make sense of the world around them and to better participate as an informed member of a democratic society.
Experience Wonder, Joy, and Beauty. Just as human forms and movement can be beautiful in dance, or sounds can make beautiful music, the patterns, shapes, and reasoning of mathematics can also be beautiful. On a personal level, mathematical problem solving can be an authentic act of individual creativity, while on a societal level, mathematics both informs and is informed by the culture of those who use and develop it, just as art or language is used and developed.

References
National Council of Teachers of Mathematics (2018). Catalyzing change in high school mathematics: Initiating critical conversations. Reston, VA: National Council of Teachers of Mathematics.

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Click on the icons to open the Colorado Academic Standards, the CCSD Scope and Sequence, and the curriculum map for each grade level.
Documents will open in a new window.
For the full curriculum map, refer to the "Additional Resources" section at the bottom of this page.

Preschool

Kindergarten

1st Grade

2nd Grade

Blue icon with and orange hexagon that links to preschool mathematics standards

Blue icon with and teal calendar icon that links to the preschool mathematics scope and sequence

Blue icon with and orange hexagon that links to kindergarten mathematics standards

Blue icon with and teal calendar icon that links to the kindergarten mathematics scope and sequence

Blue icon with and orange hexagon that links to first grade mathematics standards

Blue icon with and teal calendar icon that links to the Blue icon with and teal calendar icon that links to the preschool mathematics scope and sequence

Blue icon with and orange hexagon that links to second grade mathematics standards

Blue icon with and teal calendar icon that links to the 2nd grade mathematics scope and sequence

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3rd Grade

4th Grade

5th Grade

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Blue icon with and teal calendar icon that links to the 3rd grade mathematics scope and sequence

Blue icon with and orange hexagon that links to fourth grade mathematics standards

Blue icon with and teal calendar icon that links to the 4th grade mathematics scope and sequence

Blue icon with and orange hexagon that links to 5th grade mathematics standards

Blue icon with and teal calendar icon that links to the 5th grade mathematics scope and sequence

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6th Grade

7th Grade

8th Grade

Blue icon with and orange hexagon that links to sixth grade mathematics standards

Blue icon with and teal calendar icon that links to the 6th grade mathematics scope and sequence

Blue icon with and orange hexagon that links to seventh grade mathematics standards

Blue icon with and teal calendar icon that links to the 7th grade mathematics scope and sequence

Blue icon with and orange hexagon that links to eighth grade mathematics standards

Blue icon with and teal calendar icon that links to the 8th grade mathematics scope and sequence

High School

Blue icon with and teal calendar icon that links to the Algebra 1 scope and sequence

Blue icon with and teal calendar icon that links to the Geometry scope and sequence

Blue icon with and teal calendar icon that links to the Algebra 2 scope and sequence

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The Mathematics Teaching and Learning Framework is used in teaching the Colorado Academic Standards
to meet the needs of EVERY student EVERY day.

The "Effective Mathematics Teaching Practices Continuum" is designed to frame what the development of each teaching practice looks like along a learning, growth, and development trajectory. Teachers and teams can reference this continuum to self-assess current strengths, and areas of growth.

Link to the Effective Mathematics Teaching Practice Continuum

(Click to open)

The instructional framework for mathematics is divided into three components: "Student Practices," "Teacher Practices," and "Routines." Taken together, these comprehensively describe high-quality mathematics teaching and learning. (Click on the icons below for more detailed information).