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 lessons illustrate the Shifts and can be used immediately in classrooms for teachers to get a sense of the expectations of the standards. They can also be used in PLCs as part of a lesson study or shared observations.
Focus: All of these lessons align to the major work of the grade.
Coherence: These lessons demonstrate how to build student understanding from previous learning and prepare students for future learning.
Rigor: These lessons were selected to represent a balance of the aspects of Rigor required by the standards.
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Use the Lesson Planning Tool to deeply consider Focus, Coherence, and Rigor in your lessons.
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After reviewing a lesson, use the Coherence Map to find related standards and additional lessons.
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Many of the lessons 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
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pdf - Downloads
>20,000 - File Size
856KB
Measurement & Data (measurement part): Grades K-5
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pdf - Downloads
>20,000 - File Size
1MB
Number & Operations-Fractions: Grades 3-5
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pdf - Downloads
>20,000 - File Size
2MB
Ratios & Proportional Relationships: Grades 6-7
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pdf - Downloads
>20,000 - File Size
1MB
Expressions & Equations: Grades 6-8
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pdf - Downloads
>20,000 - File Size
498KB
Statistics & Probability: Grades 6-8
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pdf - Downloads
>20,000 - File Size
1MB
The Number System: Grades 6-8 & Number and Quantity Standards (number part): High School
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pdf - Downloads
>20,000 - File Size
2MB
Progression on Functions: Grades 8-High School
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pdf - Downloads
>20,000 - File Size
2MB
Statistics & Probability: High School
- File Type
pdf - Downloads
19,527 - File Size
2MB
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