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Foundations and Quantity

Counting and Cardinality Foundations Quantity Comparison and Order Reasoning Base-Ten Place Value and Whole-Number Notation

Operations and Models

Whole-Number Operations and Fact Fluency Operations Models, Bar Models, and Word Problems Equations, Variables, Expressions, and Inequalities Ratio, Rate, Scaling, and Proportional Foundation

Parts, Measure, and Proportion

Fractions as Parts, Wholes, and Fair Shares Fraction Equivalence, Comparison, and Operations Decimal and Percent Reasoning Measurement Units, Tools, Time, and Money Geometric Measurement

Geometry, Space, and Data

Data Classification, Tables, and Graph Reasoning Geometry Shape Attributes and Classification Spatial Composition, Transformations, Symmetry, and Coordinates

Patterns, Logic, and Enrichment

Patterns, Functions, and Generalization Logic, Constraint, Deduction, and Combinatorics

Math›Covered Jar

Covered Jar math map

Math moments in the story path, with the route changing from age band, skill profile, practice focus, and evidence.

Age band

Skill profile

Practice focus

Episode 2

Small Things for the Display

Math family: Data Classification, Tables, and Graph Reasoning
Story lane: Object classification
Visual action: Classification rule
Skill: Sorting by one attribute
Math action: Object sort surface
Practice pattern: Object sort
Age form: 8-9: Table and graph transfer
Skill profile: On-track: Recent independent work was fresh enough to keep the main lane.
Practice focus: Balanced growth: No extra topic bias; evidence and story fit choose the route.
Selected route: Core
Next decision: If the next answer is fresh and independent, the path can hold or stretch.

AXIOKidsParent-controlled math adventures.

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