Appendix 13B: Mathematics Diagnostic Evaluation
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
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
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
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
Template: Math Diagnostics and Interventions
Mathematics Instruction and Communication Log
Direct links to Intervention Systems Learning Steps