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05.30.12_math_chart

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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 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 E X T R E M E E M P H A S 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
Transcript
Page 1: 05.30.12_math_chart

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

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