H:\CCSS\frameworks\05.30.12 math chart.pdf
CREATED BY DR. HOLLIE BECKER, K-12 CURRICULUM COORDINATOR ©Auburn-Washburn USD 437
Framework for the CCSS
Math Standards Standards for Mathematical
Practice
Standards for Mathematical
Content ndards
7. Look for and make use of structure
8. Look for and express regularity in repeated
reasoning
5. Use appropriate tools strategically
4. Model with mathematics
3. Construct viable arguments & critique
the reasoning of others
2. Reason abstractly and quantitatively
6. Attend to precision
1. Make sense of problems & persevere
in solving them
k-5 High
School 6-8
Number & Operations/Algebra: operations with whole
numbers, fractions, decimals Algebra:
linear functions
Number & Operations: real number system
Number & Operations: complex number system
Algebra: non-linear functions
Data & Probability: measuring and analyzing data, measures of central
tendency
Data & Probability: complex statistical
computations, probability of dependent events
Data & Probability: statistical computations,
probability of independent events
Geometry: Attributes of 2D shapes
(some 3D), perimeter/area of basic
shapes, coordinate plane, points on a line, graphing
Geometry: perimeter/area of
complex 3D shapes, expanded graphing,
nonlinear 3D
Geometry: perimeter/area of complex 2D shapes, surface area/ volume of most common basic 3D shapes,
graphing systems of lines on coordinate plane, points on a line, comparing attributes of
parallel and perpendicular lines
“Habits of mind” to be developed by the students Expected to be embedded into ALL math instruction K-12
Hallmark = learning pathways along which a student travels to be C&C ready, as well as embedded design feature of continually returning to prior learning at ever-increasing levels of complexity
K-8 Standards organized by Grade, Domain, Cluster, Standard ≤ 4 critical areas per grade level
Domains = Larger groups of related standards Clusters = Within domains, groups of related standards Standards = Within clusters, define what students should know/be able to do at each grade level
9-12: 113 Standards organized into 6 Conceptual Categories, Domain, Cluster, and Standard 43 Advanced Math Standards (+) for students preparing for careers in STEM Conceptual categories, taken together, paint a portrait of what the math students must master in order to be C&C ready
Conceptual Categories = Over-arching ideas that describe strands of content for 9-12 Domains/Clusters = Groups of standards that describe coherent aspects of the content categories Standards = What students should know/be able to do
Spotlight on developing understanding of core concepts & fluency with procedural skills Written to assume mastery, in any given year, of the preceding year’s standards
EX T REME EMPHAS I
S
Overarching Habits of Mind of a Productive
Mathematical Thinker
Reasoning and Explaining
Modeling and Using Tools
Seeing Structure and Generalizing
Bill McCallum, one author of the CCSS, paired the Practice Standards by common attributes – his work is in lavender above