College- and Career-Ready Math Shifts at a Glance
A document explaining the biggest changes in mathematics for the CCSS and other college- and career-ready standards.
These tasks illustrate the Shifts and can be used immediately in the classroom. They can also be used in PLCs as part of a lesson study or shared observations.
Focus: All of these tasks align to the major work of the grade.
Coherence: These tasks demonstrate how to build student understanding from previous learning and prepare students for future learning.
Rigor: These tasks were selected to represent a balance of the aspects of Rigor required by the standards.
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After reviewing a task, use the Coherence Map to find related standards and additional tasks.
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Many of the tasks reference a specific progression document, narrative documents describing the progression of a topic across a number of grade levels, informed both by research on children's cognitive development and by the logical structure of mathematics. The progressions can explain why standards are sequenced the way they are, point out cognitive difficulties and pedagogical solutions, and give more detail on particularly knotty areas of the mathematics.
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The Progressions Documents
Counting & Cardinality and Operations & Algebraic Thinking: Grades K-5
- File Type
pdf - Downloads
>20,000 - File Size
2MB
Number & Operations in Base Ten: Grades K-5
- File Type
pdf - Downloads
>20,000 - File Size
720KB
Measurement & Data (data part): Grades K-5
- File Type
pdf - Downloads
>20,000 - File Size
856KB
Measurement & Data (measurement part): Grades K-5
- File Type
pdf - Downloads
>20,000 - File Size
1MB
Number & Operations-Fractions: Grades 3-5
- File Type
pdf - Downloads
>20,000 - File Size
2MB
Ratios & Proportional Relationships: Grades 6-7
- File Type
pdf - Downloads
>20,000 - File Size
1MB
Expressions & Equations: Grades 6-8
- File Type
pdf - Downloads
>20,000 - File Size
498KB
Statistics & Probability: Grades 6-8
- File Type
pdf - Downloads
>20,000 - File Size
1MB
The Number System: Grades 6-8 & Number and Quantity Standards (number part): High School
- File Type
pdf - Downloads
>20,000 - File Size
2MB
Progression on Functions: Grades 8-High School
- File Type
pdf - Downloads
>20,000 - File Size
2MB
Statistics & Probability: High School
- File Type
pdf - Downloads
19,499 - File Size
2MB
- File Type
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Hundreds of sample tasks organized by grade, standard and domain are available from Illustrative Mathematics, an organization led by William McCallum , a lead writer of the CCSS. Their website also includes, videos, commentary on the Standards for Mathematical Practices, professional development resources, and course blueprints.
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Illustrative Mathematics website
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