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Foundations and Quantity
Counting and Cardinality FoundationsQuantity Comparison and Order ReasoningBase-Ten Place Value and Whole-Number Notation
Operations and Models
Whole-Number Operations and Fact FluencyOperations Models, Bar Models, and Word ProblemsEquations, Variables, Expressions, and InequalitiesRatio, Rate, Scaling, and Proportional Foundation
Parts, Measure, and Proportion
Fractions as Parts, Wholes, and Fair SharesFraction Equivalence, Comparison, and OperationsDecimal and Percent ReasoningMeasurement Units, Tools, Time, and MoneyGeometric Measurement
Geometry, Space, and Data
Data Classification, Tables, and Graph ReasoningGeometry Shape Attributes and ClassificationSpatial Composition, Transformations, Symmetry, and Coordinates
Patterns, Logic, and Enrichment
Patterns, Functions, and GeneralizationLogic, Constraint, Deduction, and Combinatorics
Math›Foundations and Quantity

Foundations and Quantity

Counting and Cardinality FoundationsEstablish count meaning, one-to-one correspondence, numerals, sequence, ten-frame structure, and early count-on/count-back fluency.Quantity Comparison and Order ReasoningCompare and order quantities across visible sets, numerals, number lines, benchmarks, tables, graphs, and symbols.Base-Ten Place Value and Whole-Number NotationBuild multi-digit number meaning, place-value decomposition, expanded form, large-number notation, powers of ten, and rounding.
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