Place Value and Number Sense

• Understanding place value up to millions
• Writing numbers in standard, expanded, and word form
• Comparing, ordering, and rounding large numbers

Addition and Subtraction of Larger Numbers

• Adding and subtracting multi-digit numbers
• Solving word problems with addition and subtraction
• Applying estimation and mental math strategies

Multiplication of Multi-Digit Numbers

• Multiplying by one-digit and two-digit numbers
• Using area models, arrays, and partial products
• Solving multi-step word problems involving multiplication

Understanding Division and Long Division

• Dividing multi-digit numbers by one-digit divisors
• Interpreting remainders in context
• Using division in real-world problem scenarios

Understanding Fractions

• Representing fractions with models and number lines
• Understanding equivalent fractions
• Simplifying fractions and finding common denominators

Adding and Subtracting Fractions

• Adding fractions with like denominators
• Subtracting fractions with like denominators
• Solving word problems involving addition and subtraction of fractions

Multiplying Fractions by Whole Numbers

• Using visual models to show multiplication of a fraction by a whole number
• Solving real-world problems with fraction multiplication
• Relating fraction multiplication to repeated addition

Introduction to Decimals

• Connecting fractions to decimals (tenths and hundredths)
• Reading and writing decimals in standard, expanded, and word form
• Comparing and ordering decimals

Exploring Geometry and Angles

• Identifying points, lines, line segments, rays, and angles
• Measuring angles with a protractor
• Classifying triangles and quadrilaterals by their properties

Perimeter and Area

• Finding perimeter of polygons
• Calculating area of rectangles and composite figures
• Applying area and perimeter formulas in word problems

Measurement and Conversion of Units

• Converting units of length, mass, and capacity within the same system
• Solving problems involving measurements in different units
• Understanding and using time and volume measurements

Representing and Interpreting Data

• Reading and creating bar graphs, line graphs, and line plots
• Solving problems using data from charts and tables
• Analyzing data to find patterns and draw conclusions

Patterns and Relationships

• Identifying and continuing number patterns
• Recognizing arithmetic and geometric sequences
• Describing patterns in shapes and designs

Problem Solving with Multi-Step Problems

• Using multiple operations to solve complex word problems
• Justifying answers and explaining strategies
• Applying logical reasoning and critical thinking

Preparing for Advanced Topics

• Strengthening multiplication and division fluency
• Deepening understanding of fraction and decimal relationships
• Introducing concepts of symmetry, transformations, and scaling