Embedded Files
Appendix 13B: Mathematics Diagnostic Evaluation
Kindergarten and Older
Kindergarten and Older
Assess Foundational Number Ideas to 20
Early counting
Initial number relationships
Relationships between numbers 1 through 10
Click here to learn how to Screen, Intervene and Progress Monitor Foundational Number Ideas to 20
Grade 1 and Older
Grade 1 and Older
Content for Grade 1 and Older:
Assess Meaning of Operations
Represent and solve contextual problems using addition and subtraction
Represent and solve contextual problems using multiplication and division
Click here to learn how to Diagnose, Intervene and Progress Monitor Meaning of Operations
Assess Place Value Ideas
Ten as a unit
Position of digit
Number Patterns
Decomposing number
Click here to learn how to Diagnose, Intervene and Progress Monitor Place Value Ideas
Assess Early Algebraic Thinking
Meaning of the equals sign
Meaning of variables
Making sense of algebraic properties
Click here to learn how to Diagnose, Intervene and Progress Monitor Early Algebraic Thinking
Assess Basic Fact Development
Counting strategies
Reasoning strategies
Retrieval/automaticity
Click here to learn how to Diagnose, Intervene and Progress Monitor Basic Fact Development
Content Prior to Grade 1
Assess Foundational Number Ideas to 20
Early counting
Initial number relationships
Relationships between numbers 1 through 10
Click here to learn how to Screen, Intervene and Progress Monitor Foundational Number Ideas to 20
Grade 3 and Older
Grade 3 and Older
Content for Grade 3 and Older:
Assess Multi-Digit Computational Fluency
Decomposing and composing numbers
Understanding of the operations
Understanding of properties of operations
Click here to learn how to Diagnose, Intervene and Progress Monitor Multi-Digit Computational Fluency
Assess Fraction Understanding
Partition and iterate with models
Estimate fractions
Fraction equivalence
Comparing fractions
Fraction operations
Click here to learn how to Diagnose, Intervene and Progress Monitor Fraction Understanding
Content Prior to Grade 3
Assess Foundational Number Ideas to 20
Early counting
Initial number relationships
Relationships between numbers 1 through 10
Click here to learn how to Screen, Intervene and Progress Monitor Foundational Number Ideas to 20
Assess Meaning of Operations
Represent and solve contextual problems using addition and subtraction
Represent and solve contextual problems using multiplication and division
Click here to learn how to Diagnose, Intervene and Progress Monitor Meaning of Operations
Assess Place Value Ideas
Ten as a unit
Position of digit
Number Patterns
Decomposing number
Click here to learn how to Diagnose, Intervene and Progress Monitor Place Value Ideas
Assess Early Algebraic Thinking
Meaning of the equals sign
Meaning of variables
Making sense of algebraic properties
Click here to learn how to Diagnose, Intervene and Progress Monitor Early Algebraic Thinking
Assess Basic Fact Development
Counting strategies
Reasoning strategies
Retrieval/automaticity
Click here to learn how to Diagnose, Intervene and Progress Monitor Basic Fact Development
Grade 6 and Older
Grade 6 and Older
Content for Grade 6 and Older:
Assess Ratio and Proportional Reasoning
Meaning of Ratio as a multiplicative comparison
Equivalent ratios
Fraction equivalence
Rate as one way to represent a ratio
Proportional thinking
Click here to learn how to Diagnose, Intervene and Progress Monitor Ratio and Proportional Reasoning
Assess Algebraic Expressions and Equations
Generalizing structures and patterns
Extend computation to Integers
Attach meaning to and solve linear equations
Representations of functions
Click here to learn how to Diagnose, Intervene and Progress Monitor Algebraic Expressions and Equations
Content Prior to Grade 6
Assess Foundational Number Ideas to 20
Early counting
Initial number relationships
Relationships between numbers 1 through 10
Click here to learn how to Screen, Intervene and Progress Monitor Foundational Number Ideas to 20
Assess Meaning of Operations
Represent and solve contextual problems using addition and subtraction
Represent and solve contextual problems using multiplication and division
Click here to learn how to Diagnose, Intervene and Progress Monitor Meaning of Operations
Assess Place Value Ideas
Ten as a unit
Position of digit
Number Patterns
Decomposing number
Click here to learn how to Diagnose, Intervene and Progress Monitor Place Value Ideas
Assess Early Algebraic Thinking
Meaning of the equals sign
Meaning of variables
Making sense of algebraic properties
Click here to learn how to Diagnose, Intervene and Progress Monitor Early Algebraic Thinking
Assess Basic Fact Development
Counting strategies
Reasoning strategies
Retrieval/automaticity
Click here to learn how to Diagnose, Intervene and Progress Monitor Basic Fact Development
Assess Multi-Digit Computational Fluency
Decomposing and composing numbers
Understanding of the operations
Understanding of properties of operations
Click here to learn how to Diagnose, Intervene and Progress Monitor Multi-Digit Computational Fluency
Assess Fraction Understanding
Partition and iterate with models
Estimate fractions
Fraction equivalence
Comparing fractions
Fraction operations
Click here to learn how to Diagnose, Intervene and Progress Monitor Fraction Understanding
Additional Intervention Resources
Additional Intervention Resources
Supports for Math Intervention Implementation
Supports for Math Intervention Implementation
- 20-21 Innovation Configuration Map for Mathematics Intervention
- Descriptions of what successful implementation of particular aspects of math intervention
- Useful for professional conversations and professional growth
Template: Math Diagnostics and Interventions
- Make a copy. Teams can review potential resources for diagnosis and intervention and note which are chosen for local use.
Mathematics Instruction and Communication Log
- Make a copy. Log template for recording intervention sessions and activities.
Direct links to Intervention Systems Learning Steps
- Make connections to Learner Step 4: Data Analysis of the Intervention System guide v5.1 here.
- Make connections to Learner Step 5: Make Initial Changes to Intervention of the Intervention System guide v5.1 here.
- Make connections to Learner Step 6: Determine Skill Deficits of the Intervention System guide v5.1 here.
- Make connections to Learner Step 7: Determine Additional Instructional Changes of the Intervention System guide v5.1 here.
Assisting Students Struggling with Mathematics: Response to Intervention (RTI) for Elementary and Middle Schools - Updated Practice Guide, March 2021
Read more about these 6 Recommendations:Assisting Students Struggling with Mathematics: Response to Intervention (RTI) for Elementary and Middle Schools - Updated Practice Guide, March 2021
- Systematic Instruction
- Mathematical Language
- Representations
- Number Lines
- World Problems
- Build Fluency
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