Math concepts build on each other. From starting to recognize numbers and basic counting to complex math concepts, kids are always exploring.
Transitional Kindergarten (TK) / Kindergarten
- Counting and number names
- One-to-one correspondence
- Comparing numbers
- Basic addition and subtraction
- Identify and describe shapes
- Classify and sort objects
- Describe and compare measurable attributes (length, weight)
Grade 1
- Addition and subtraction within 20
- Counting and writing numbers to 100
- Place value (ones and tens)
- Understand and use the equal sign
- Measure lengths, tell, and write time
- Recognize and draw shapes
Grade 2
- Addition and subtraction within 100
- Place value (hundreds, tens, ones)
- Introduction to multiplication (arrays, repeated addition)
- Measure and estimate lengths
- Work with time and money
- Introduction to simple fractions (halves, thirds, fourths)
- Describe and analyze shapes
Grade 3
- Multiplication and division within 100
- Understanding fractions as numbers
- Place value (up to 1,000)
- Area and perimeter
- Solve word problems involving the four operations
- Interpret bar graphs and pictographs
Grade 4
- Multi-digit multiplication and division
- Add and subtract fractions
- Decimals to hundredths
- Factors and multiples
- Measurement conversions
- Geometry: angles, lines, symmetry
Grade 5
- Add, subtract, multiply, and divide fractions
- Understand decimals, place value to thousandths
- Volume and measurement
- Graphing points on the coordinate plane
- Classify two-dimensional figures
Grade 6
- Ratios and unit rates
- Division of fractions
- Multi-digit decimals
- Integers and absolute value
- Algebraic expressions and equations
- Area, surface area, and volume
- Statistics: mean, median, mode
Grade 7
- Operations with rational numbers (fractions, decimals, integers)
- Proportional relationships and percent
- Linear equations and inequalities
- Geometry: scale drawings, area, surface area, volume
- Probability and statistics
Grade 8
- Linear equations, functions, and systems
- Exponents and scientific notation
- Pythagorean Theorem
- Transformations and congruence
- Volume of cylinders, cones, spheres
- Scatter plots and linear associations
Grades 9–12 (High School)
- Algebra : Expressions, equations, inequalities, polynomials, quadratic functions, systems of equations
- Geometry: Proofs, congruence, similarity, circles, trigonometry, coordinate geometry
- Algebra II/Precalculus: Complex numbers, exponential/logarithmic functions, sequences, series, matrices
- Statistics and Probability: Data analysis, probability, distributions, and statistical inference.
- Calculus: Limits, derivatives, integrals, applications