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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›Operations and Models

Operations and Models

Whole-Number Operations and Fact FluencyDevelop addition, subtraction, multiplication, division strategies, facts, factor reasoning, and algorithms.Operations Models, Bar Models, and Word ProblemsTranslate situations into mathematical models, choose operations, build bar models, and solve one-step or multi-step stories.Equations, Variables, Expressions, and InequalitiesBridge arithmetic to symbolic structure: unknowns, balance, expressions, inequalities, order of operations, and negative contexts.Ratio, Rate, Scaling, and Proportional ReadinessPrepare proportional reasoning through ratio tables, rates, scaling, percent links, multiplicative comparison, and coordinate/scale contexts.
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