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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›Parts, Measure, and Proportion

Parts, Measure, and Proportion

Fractions as Parts, Wholes, and Fair SharesEstablish equal parts, whole constraint, unit/non-unit fractions, fraction representations, fair sharing, and fraction of set or quantity.Fraction Equivalence, Comparison, and OperationsDevelop equivalent fractions, ordering, comparison, decomposition, simplifying, mixed/improper forms, and fraction operations.Decimal and Percent ReasoningConnect decimals to place value, fractions, measurement, money, comparison, rounding, operations, and percent readiness.Measurement Units, Tools, Time, and MoneyRead, estimate, compare, and convert measured quantities using tools and contextual units.Geometric MeasurementReason about area, perimeter, volume, angles, composite shapes, formulas, and measure-as-structure.
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