What Should My Child Know in Math by Grade Level?
"Is my child on track?" Every parent wonders this. Schools often say "meeting expectations" without defining what those expectations are. Here is a clear, skill-by-skill guide to what math mastery looks like at each level.
Important: these are mastery benchmarks, not exposure benchmarks. Your child may have been introduced to a concept but not mastered it. Mastery means they can do it accurately, consistently, and without help.
Pre-K (Ages 3-4)
- Count to 10 reliably (1:1 correspondence with objects)
- Recognize numbers 0-10
- Compare groups: more, less, same
- Recognize basic shapes: circle, square, triangle, rectangle
- Simple patterns: red-blue-red-blue, what comes next?
- Sort objects by size, color, or shape
Kindergarten (Ages 5-6)
- Count to 100 by 1s
- Skip count by 10s to 100
- Add and subtract within 10
- Number bonds to 10 (pairs that make 10)
- Compare numbers to 20 using >, <, =
- Place value: understand tens and ones (16 = 1 ten + 6 ones)
- Identify and describe 2D and 3D shapes
- Measure and compare lengths
Grade 1 (Ages 6-7)
- Add and subtract within 20 fluently
- Understand place value to 120
- Telling time to the hour and half-hour
- Coins: identify penny, nickel, dime, quarter
- Measure lengths using non-standard units
- Word problems (addition and subtraction with story contexts)
- Understand the meaning of the equal sign (both sides are the same, not "the answer comes next")
Grade 2 (Ages 7-8)
- Add and subtract within 100 fluently
- Regroup (carry and borrow) in addition and subtraction
- Skip count by 2s, 5s, 10s, and 100s
- Understand place value to 1,000
- Tell time to 5-minute intervals
- Count money and make change
- Measurement: inches, feet, centimeters, meters
- Introduction to equal groups (foundation for multiplication)
Grade 3 (Ages 8-9)
- Multiplication facts 0-10 memorized
- Division as the inverse of multiplication
- Fact families: 3, 4, 12 → 3×4=12, 4×3=12, 12÷3=4, 12÷4=3
- Fractions: understand 1/2, 1/3, 1/4 as parts of a whole
- Area and perimeter of rectangles
- Tell time to the minute
- Rounding to nearest 10 and 100
- Two-step word problems
Grade 4 (Ages 9-10)
- Multi-digit multiplication (up to 4 digits × 1 digit)
- Long division with 1-digit divisors
- Equivalent fractions: 1/2 = 2/4 = 3/6
- Compare and order fractions
- Decimals: understand tenths and hundredths
- Factors and multiples
- Angles: measure and classify
- Patterns and number sequences
- Multi-step word problems
Grade 5 (Ages 10-11)
- Multi-digit multiplication and division fluency
- Add and subtract fractions with unlike denominators
- Multiply fractions
- Decimal operations (add, subtract, multiply, divide)
- Volume of rectangular prisms
- Order of operations (PEMDAS)
- Coordinate plane: plot points in first quadrant
- Convert between fractions, decimals, and percents
Grade 6 (Ages 11-12)
- Ratios and proportions
- Percent problems (find percent of a number, percent increase/decrease)
- Dividing fractions
- Negative numbers: understand, compare, operate
- Variables: write and evaluate expressions
- One-step equations
- Data analysis: mean, median, mode
- Area of triangles, parallelograms, and irregular shapes
Grade 7 (Ages 12-13)
- Proportional relationships and unit rates
- Operations with all rational numbers (fractions, decimals, negatives)
- Two-step equations and inequalities
- Probability
- Geometry: area and circumference of circles, angle relationships
- Scale drawings and geometric constructions
- Estimation and reasonableness checking
Grade 8 (Ages 13-14)
- Linear equations and graphing (y = mx + b)
- Systems of equations (two equations, two unknowns)
- Exponents and scientific notation
- Pythagorean theorem
- Transformations: translations, reflections, rotations
- Volume of cylinders, cones, spheres
- Irrational numbers (√2, π)
- Functions: understand input-output relationships
Key Insight: These benchmarks represent mastery, not exposure. If your child has been "taught" multiplication but cannot reliably compute 7 × 8, they have not mastered it. Mastery means automatic, accurate, and independent. Use these benchmarks to identify gaps — then fill them before advancing.
Use this guide to assess where your child truly stands — not where their grade level says they should be. Gaps compound: a weakness in 3rd-grade multiplication becomes a crisis in 5th-grade fractions. Identify the gaps, fill them in order, and every concept after becomes easier.
If you want a system that pinpoints exactly where your child stands in this progression and builds forward from that point — that is what Lumastery does.