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Learning coverage

275 selectable skills across 17 learning levels. Every skill in the current catalog now has playable exercises.

This is a growing practice library, not a complete or certified replacement for a math course. “Available” means the named exercise is playable—not that every question format or standard in that subject is covered. Calculus currently means single-variable calculus.

More variety, less repetition

Questions vary their numbers and, where supported, their format: missing values, comparisons, word problems, diagrams, and conceptual choices. Each child rotates through all selected skills. Recent-question memory follows the child across devices and avoids the last 150 questions when a fresh candidate is available. Small banks, such as basic shape names, must eventually repeat.

To add new material for an existing child, open their learning path in the Parent Command Center. Select individual skills or choose a grade range and reset its defaults. Your existing selections are not automatically expanded.

Preschool · 7 available

Counting & Comparing

  • Count objects to 10 — Available practice
  • More, fewer, or equal — Available practice
  • Match numerals to quantities — Available practice
  • Complete simple patterns — Available practice

Shapes & Position

  • Name basic shapes — Available practice
  • Above, below, beside — Available practice
  • Sort by color, shape, or size — Available practice
Kindergarten · 11 available

Numbers to 20

  • Count and write numbers to 20 — Available practice
  • Compare numbers to 20 — Available practice
  • Make and break apart numbers to 10 — Available practice

Beginning Operations

  • Add within 10 — Available practice
  • Subtract within 10 — Available practice
  • Picture and story problems — Available practice

Measurement & Geometry

  • Compare length and weight — Available practice
  • 2D shapes — Available practice
  • 3D shapes — Available practice

Additional Skills

  • Count forward and by tens to 100 — Available practice
  • Teen numbers as a ten and some ones — Available practice
Grade 1 · 12 available

Addition & Subtraction

  • Add within 20 — Available practice
  • Subtract within 20 — Available practice
  • Missing numbers in equations — Available practice
  • One-step word problems — Available practice

Place Value

  • Tens and ones — Available practice
  • Compare two-digit numbers — Available practice
  • Add and subtract tens — Available practice

Time, Data & Shapes

  • Tell time to hour and half-hour — Available practice
  • Read picture graphs — Available practice
  • Halves and fourths of shapes — Available practice

Additional Skills

  • Compare and measure lengths in equal units — Available practice
  • Shape attributes — Available practice
Grade 2 · 14 available

Operations

  • Fluency within 20 — Available practice
  • Add within 100 — Available practice
  • Subtract within 100 — Available practice
  • One- and two-step word problems — Available practice

Place Value

  • Hundreds, tens, and ones — Available practice
  • Compare numbers to 1,000 — Available practice
  • Skip count by 5, 10, and 100 — Available practice

Measurement, Time & Data

  • Measure and estimate length — Available practice
  • Tell time to five minutes — Available practice
  • Count coins and bills — Available practice
  • Bar graphs and line plots — Available practice

Additional Skills

  • Odd and even numbers; equal pairs — Available practice
  • Rectangular arrays and repeated addition — Available practice
  • Halves, thirds, and fourths — Available practice
Grade 3 · 17 available

Multiplication & Division

  • Multiplication facts to 10 × 10 — Available practice
  • Division facts — Available practice
  • Properties of operations — Available practice
  • Multiplication and division stories — Available practice

Fractions

  • Unit fractions — Available practice
  • Fractions on number lines — Available practice
  • Equivalent fractions — Available practice
  • Compare fractions — Available practice

Measurement & Geometry

  • Area of rectangles — Available practice
  • Perimeter — Available practice
  • Elapsed time — Available practice
  • Scaled graphs and line plots — Available practice

Additional Skills

  • Round to the nearest 10 or 100 — Available practice
  • Add and subtract within 1,000 — Available practice
  • Multiply one digit by tens — Available practice
  • Mass and liquid-volume word problems — Available practice
  • Classify quadrilaterals — Available practice
Grade 4 · 20 available

Whole Number Operations

  • Multi-digit place value — Available practice
  • Multi-digit multiplication — Available practice
  • Long division with one-digit divisors — Available practice
  • Factors and multiples — Available practice
  • Multi-step word problems — Available practice

Fractions & Decimals

  • Equivalent fractions — Available practice
  • Compare fractions — Available practice
  • Add and subtract like fractions — Available practice
  • Multiply fractions by whole numbers — Available practice
  • Tenths and hundredths — Available practice

Measurement & Geometry

  • Measure and classify angles — Available practice
  • Lines, rays, and symmetry — Available practice
  • Area and perimeter — Available practice
  • Convert measurement units — Available practice

Additional Skills

  • Round multi-digit whole numbers — Available practice
  • Multi-digit addition and subtraction — Available practice
  • Number patterns and rules — Available practice
  • Prime and composite numbers — Available practice
  • Interpret remainders in stories — Available practice
  • Compare tenths and hundredths — Available practice
Grade 5 · 17 available

Numbers & Operations

  • Decimal place value — Available practice
  • Decimal operations — Available practice
  • Multi-digit division — Available practice
  • Numerical expressions — Available practice

Fraction Operations

  • Add unlike fractions — Available practice
  • Multiply fractions — Available practice
  • Divide with unit fractions — Available practice
  • Fraction word problems — Available practice

Geometry & Measurement

  • Volume of rectangular prisms — Available practice
  • Coordinate plane — Available practice
  • Classify two-dimensional figures — Available practice
  • Fractional line plots — Available practice

Additional Skills

  • Round decimals — Available practice
  • Convert units in either direction — Available practice
  • Subtract unlike fractions — Available practice
  • Mixed-number operations — Available practice
  • Compare two numerical patterns — Available practice
Grade 6 · 19 available

Ratios, Rates & Percents

  • Equivalent ratios — Available practice
  • Unit rates — Available practice
  • Find a percent of a quantity — Available practice
  • Unit conversions — Available practice

The Number System

  • Divide fractions — Available practice
  • Decimal operations — Available practice
  • Integers and absolute value — Available practice
  • GCF and LCM — Available practice

Expressions & Equations

  • Evaluate expressions — Available practice
  • Distributive property — Available practice
  • One-step equations — Available practice
  • One-step inequalities — Available practice

Geometry & Statistics

  • Area of polygons — Available practice
  • Surface area — Available practice
  • Volume — Available practice
  • Mean, median, range — Available practice

Additional Skills

  • Coordinates in all four quadrants — Available practice
  • Mean absolute deviation — Available practice
  • Recognize statistical questions — Available practice
Grade 7 · 19 available

Proportional Relationships

  • Unit rates with fractions — Available practice
  • Solve proportions — Available practice
  • Percent increase and decrease — Available practice
  • Scale drawings — Available practice

Rational Numbers

  • Integer operations — Available practice
  • Rational number operations — Available practice
  • Fractions and decimals — Available practice
  • Multi-step real-world problems — Available practice

Expressions & Equations

  • Combine like terms — Available practice
  • Multi-step equations — Available practice
  • Two-step inequalities — Available practice
  • Equivalent expressions — Available practice

Geometry & Probability

  • Circumference and area — Available practice
  • Angle relationships — Available practice
  • Probability — Available practice
  • Sampling and inference — Available practice

Additional Skills

  • Simple interest — Available practice
  • Independent compound probability — Available practice
  • Cross-sections of solids — Available practice
Grade 8 · 16 available

Real Numbers & Exponents

  • Integer exponents — Available practice
  • Scientific notation — Available practice
  • Square and cube roots — Available practice
  • Rational vs. irrational — Available practice

Equations

  • Linear equations — Available practice
  • Systems of equations — Available practice
  • Slope — Available practice
  • Graph linear equations — Available practice

Functions

  • Identify functions — Available practice
  • Compare functions — Available practice
  • Model linear relationships — Available practice

Geometry

  • Transformations — Available practice
  • Pythagorean theorem — Available practice
  • Volume of cones, cylinders, spheres — Available practice

Additional Skills

  • Bivariate data and scatter plots — Available practice
  • Congruence and similarity reasoning — Available practice
Pre-Algebra · 15 available

Algebra Foundations

  • Order of operations — Available practice
  • Evaluate variable expressions — Available practice
  • Combine like terms — Available practice
  • Distributive property — Available practice

Equations & Inequalities

  • One-step equations — Available practice
  • Two-step equations — Available practice
  • Multi-step equations — Available practice
  • Linear inequalities — Available practice

Rates, Proportions & Lines

  • Proportions — Available practice
  • Percent applications — Available practice
  • Slope and rate of change — Available practice
  • Linear relationships — Available practice

Additional Skills

  • Signed rational arithmetic — Available practice
  • GCF and LCM — Available practice
  • Fraction operations — Available practice
Algebra I · 18 available

Linear Equations & Inequalities

  • Multi-step linear equations — Available practice
  • Literal equations — Available practice
  • Compound inequalities — Available practice
  • Systems of equations — Available practice

Functions

  • Function notation — Available practice
  • Linear functions — Available practice
  • Arithmetic sequences — Available practice
  • Absolute-value functions — Available practice

Exponents & Polynomials

  • Exponent rules — Available practice
  • Polynomial operations — Available practice
  • Factor quadratics — Available practice
  • Solve quadratics — Available practice

Data & Modeling

  • Scatter plots and trend lines — Available practice
  • Linear models — Available practice
  • Two-way tables — Available practice

Additional Skills

  • Exponential functions and models — Available practice
  • Radical expressions — Available practice
  • Quadratic formula and discriminant — Available practice
Geometry · 18 available

Foundations & Proof

  • Angle relationships — Available practice
  • Algebraic and geometric proofs — Available practice
  • Compass and straightedge constructions — Available practice

Triangles & Similarity

  • Triangle congruence — Available practice
  • Triangle similarity — Available practice
  • Right-triangle relationships — Available practice
  • Right-triangle trigonometry — Available practice

Circles & Coordinate Geometry

  • Circle theorems — Available practice
  • Equations of circles — Available practice
  • Distance between points — Available practice
  • Coordinate proofs — Available practice

Area, Surface Area & Volume

  • Composite area — Available practice
  • Surface area — Available practice
  • Solid volume — Available practice
  • Density and scale — Available practice

Additional Skills

  • Midpoint of a segment — Available practice
  • Arc length and sector area — Available practice
  • Area and volume scale factors — Available practice
Algebra II · 18 available

Advanced Functions

  • Quadratic functions — Available practice
  • Polynomial functions — Available practice
  • Domain restrictions of rational functions — Available practice
  • Square-root equations — Available practice

Exponential & Logarithmic

  • Exponential equations — Available practice
  • Logarithms — Available practice
  • Growth and decay — Available practice
  • Compound interest — Available practice

Advanced Algebra

  • Multiply complex numbers — Available practice
  • Geometric sequences — Available practice
  • Conic sections — Available practice
  • Matrix product entries — Available practice

Probability & Statistics

  • Permutations and combinations — Available practice
  • Conditional probability — Available practice
  • Normal distributions — Available practice

Additional Skills

  • Rational-expression operations — Available practice
  • Complex roots of quadratics — Available practice
  • Polynomial zeros and multiplicity — Available practice
Trigonometry · 11 available

Unit Circle & Functions

  • Degrees and radians — Available practice
  • Unit-circle values — Available practice
  • Graphs of trig functions — Available practice
  • Inverse trigonometric functions — Available practice

Identities & Equations

  • Trigonometric identities — Available practice
  • Trigonometric equations — Available practice
  • Cosine double-angle formula — Available practice

Triangle Applications

  • Law of sines — Available practice
  • Law of cosines — Available practice
  • Vectors — Available practice

Additional Skills

  • Sum and difference formulas — Available practice
Precalculus · 16 available

Function Analysis

  • Function transformations — Available practice
  • Function composition — Available practice
  • Inverse functions — Available practice
  • Piecewise functions — Available practice

Advanced Functions

  • Polynomial and rational functions — Available practice
  • Exponential and logarithmic functions — Available practice
  • Trigonometric functions — Available practice
  • Parametric equations — Available practice

Sequences & Analytic Geometry

  • Arithmetic and geometric series — Available practice
  • Conic sections — Available practice
  • Vectors — Available practice
  • Polar coordinates — Available practice

Calculus Readiness

  • Intuitive limits — Available practice
  • Difference quotients — Available practice
  • Continuity — Available practice

Additional Skills

  • Asymptotes and holes — Available practice
Calculus · 27 available

Limits & Continuity

  • Evaluate limits — Available practice
  • One-sided and infinite limits — Available practice
  • Continuity — Available practice
  • Intermediate Value Theorem — Available practice

Derivatives

  • Power rule — Available practice
  • Product and quotient rules — Available practice
  • Chain rule — Available practice
  • Implicit differentiation — Available practice
  • Optimization and related rates — Available practice

Integrals

  • Antiderivatives — Available practice
  • Definite integrals — Available practice
  • Fundamental Theorem of Calculus — Available practice
  • u-substitution — Available practice
  • Distance from velocity — Available practice

Differential Equations & Series

  • Separable differential equations — Available practice
  • Slope fields — Available practice
  • Limits of rational sequences — Available practice
  • Infinite geometric series — Available practice

Additional Skills

  • Mean Value Theorem — Available practice
  • Increasing, decreasing, and concavity — Available practice
  • Linear approximation — Available practice
  • L’Hôpital’s rule — Available practice
  • Derivatives of exponential, logarithmic, and trig functions — Available practice
  • Integration by parts and partial fractions — Available practice
  • Improper integrals — Available practice
  • Taylor and power series; convergence tests — Available practice
  • Parametric and polar calculus — Available practice

Data, statistics & probability

These skills appear across the grade levels and Algebra II rather than in a separate statistics course. Explore data displays, averages, ratios, percentages, probability, scatter plots and selected statistical reasoning. This is not a complete AP Statistics course.

PSAT & SAT math study paths

Parents can enable PSAT 8/9, PSAT 10 / NMSQT, or SAT math paths under Learning & study in the child settings. These organize selected skills from the practice catalog, with untimed readiness samples and worked explanations. They are not full-length official tests, score predictors, or Reading and Writing preparation. Parents can still exclude individual skills.

Learning depth and readiness

Every assigned skill can be opened in the Skill Workshop for a method explanation, a worked example with step reveals, self-explanation, and fresh unscored practice. Regular questions rotate through independent solving, answer selection, correcting a proposed answer, and paired-task reasoning where the skill supports those formats. Visual and exact-answer tasks retain their original answer requirements.

The prerequisite map covers all 275 catalog skills. Saved readiness checks work through the selected path with multiple responses per skill and, with parent permission, probe earlier foundations. Parents can review and approve a starting-point assignment. Recommendations for new skills require recent, repeated independent evidence across different days; unchecked skills are not assumed mastered. These are instructional suggestions, not validated grade-placement scores.

The concept lab includes 13 interactive models from early number ideas through functions, trigonometry and calculus. It is not a bespoke simulation for every skill. Reasoning difficulty uses independently written practice banks, not official CogAT norms or score predictions.

What the review used

We compared the catalog and generators with grade-level standards and textbook topic outlines. New questions and explanations were written independently; publisher question banks were not copied.

What the new formats assess

Line-graph tasks let children plot two points with touch, mouse, or keyboard. Proof tasks ask them to justify steps and select valid arguments. Construction tasks use compass diagrams and guided construction decisions; they are not a free-form drawing tool. Slope fields, scatter plots, convergence tests, and advanced calculus exercises are now included.

All current catalog skills are playable, but the audit remains ongoing: this is not a claim that every possible exercise format or standard is covered. Automated checks help catch invalid problems and answer conflicts, but do not replace educator review.