Superintendent’s Report
December 7, 2023
MCAS M and E Rankings
K to 5 Instructional Focuses
Math Update
Grade 6 Sample Student Data
-Three years’ STAR scores
-Grade 5 Report Card
Parent Survey
Math Rankings
Grade Level | Hopkinton’s 2023 Math Ranking Statewide | Number of Districts at Each Level (with ties) |
Grade 3 | 5th | 6 |
Grade 4 | 4th | 5 |
Grade 5 | 2nd | 5 |
Grade 6 | 3rd | 3 |
Grade 7 | 4th | 8 |
Grade 8 | 7th | 11 |
Grade 10 | 5th | 10 |
The Fundamentals
Fluency includes accuracy, efficiency, flexibility, and selection of appropriate strategies.
Students progress through three stages: counting, deriving, and mastery, as they learn the basic facts in any operation.
The most effective approach to learning facts requires students to master foundational facts, facts that illustrate a specific pattern or number relationship, before learning derived fact strategies.
Instead of using timed tests, teachers should engage students with substantial and enjoyable practice.
Fact Fluency
Fact Fluency
Foundational Fact Sets
Foundational Fact Sets
Foundational Fact Sets
Foundational Fact Sets
Derived Fact Sets
Derived Fact Sets
Derived Fact Sets
Problem Solving Template
| K | 1 | 2 | 3 | 4 | 5 |
Solving using objects or drawings to represent problem | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Labels to precisely communicate meaning | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Write an equation with a symbol for an unknown to represent the problem | | ✓ | ✓ | ✓ | ✓ | ✓ |
Check for reasonableness of answer | | | | ✓ | ✓ | ✓ |
Explain reasoning to solve problem | | ✓ | ✓ | ✓ | ✓ | ✓ |
MA Curriculum Frameworks, - “Students who meet the standards develop persistence, conceptual understanding, and procedural fluency; they develop the ability to reason, prove, justify, and communicate. They build a strong foundation for applying these understandings and skills to solve real world problems.” | ||||||
According to the MA Mathematics Frameworks
Problem Solving Template
Growth – High Achiever
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TEACHER
Growth – High Achiever
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TEACHER
Growth – Moderate to Low Achiever
Name
TEACHER
Growth – Low Achiever
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QUESTIONS?