Quantitative reasoning and logical structures across arithmetic, geometry, and advanced analysis. Builds problem-solving skills through pattern recognition and modeling.
One-to-one correspondence and cardinality skills through counting discrete objects in various arrangements. Strengthens number recognition and the understanding of quantity.
Identification and spelling of number words from zero through millions. Connects numerical symbols to their written linguistic representations to strengthen mathematical literacy.
Mathematical symbols including greater than (>), less than (<), and equal to (=) to evaluate numerical relationships. Builds fluency in ordering sets and comparing quantities from single digits to multi-digit integers.
Identification and comparison of length, weight, and capacity through direct observation. Builds foundational vocabulary for describing and ordering objects based on their physical properties.
Standard and non-standard units for determining length, width, and height across metric and customary systems. Develops skills in precise tool usage, estimation techniques, and unit conversions.
Sorting by physical attributes such as color, size, and shape to organize data sets. Develops counting skills within specific categories and establishes foundations for early data analysis.
Analog and digital clock reading, elapsed time calculations, and calendar skills. Strengthens currency identification, coin counting, and basic financial transactions.
Sequential number naming and cardinal counting principles for early learners. Develops fluency in forward and backward sequences while introducing skip-counting patterns.
Numeral recognition, counting, and cardinality for integers zero through ten. Strengthens one-to-one correspondence and basic number sense through visual sets and tracing.
Positional notation and relationships between digits in the base-ten system. Strengthens skills in regrouping, estimation, and comparing magnitudes of whole numbers and decimals.
Addition and subtraction strategies for numbers up to 20, including regrouping and word problem applications. Strengthens mental math skills and builds fluency with basic facts.
Mental math strategies, regrouping techniques, and the inverse relationship between operations. Builds computational fluency through visual models, number lines, and real-world word problems.
One- and two-step word problems involving joining, separating, and comparing quantities. Develops strategies for modeling operations and understanding the inverse relationship between addition and subtraction.
Identification, extension, and creation of repeating and growing patterns using shapes, colors, and numbers. Develops algebraic thinking by analyzing sequences and defining functional relationships between variables.
Multi-digit arithmetic strategies using base-ten blocks, area models, and regrouping. Connects concrete representations to standard algorithms for addition, subtraction, multiplication, and division.