# Fifth Grade math skills progression

### Number Sense

- Three-Digit Numbers
- Rounding Three-Digit Numbers
- Multi-Digit Numbers
- Place Value and Multi-Digit Numbers
- Place Value up to Ten-Thousands Place
- Place Value up to Hundred-Thousands Place
- Place Value up to Millions Place
- Place Value and Numbers in Expanded Form
- Decimal Numbers
- Decimal Numbers and the Tenths Place
- Decimal Numbers and the Hundredths Place
- Decimal Numbers and the Thousandths Place
- Rounding Decimal Numbers
- Rounding Decimal Numbers to the Nearest Tenth
- Rounding Decimal Numbers to the Nearest Hundredth
- Rounding Decimal Numbers to the Nearest Thousandth
- Comparing Decimal Numbers
- Ordering Decimal Numbers
- Convert Decimals to Fractions
- Order of Operations and Use of Parentheses
- Exponents and Powers of Ten
- Converting Numerical Expressions to Different Forms
- Understanding Expressions and Equations
- Solving Basic Algebraic Equations
- Analyze Arithmetic Patterns
- Prime and Composite Numbers

### Addition

### Subtraction

### Multiplication

- One-Digit Multiplication
- Multiplication Facts
- Multiplication and Area Models
- Multi-Digit Multiplication
- Multi-Digit Multiplication and Arrays
- Factors and Multiples of Multi-Digit Numbers
- Multiplying by 100
- Multiplying by 1000
- Multi-Digit Multiplication and Partial Products
- Multi-Digit Multiplication and the Standard Algorithm
- Multi-Digit Multiplication and Word Problems
- Multi-Digit Multiplication and Doubling
- Multiplication and Powers of 10
- Multiplying Decimal Numbers
- Multiplying Decimal Numbers to the Tenths Place
- Multiplying Decimal Numbers to the Hundredths Place

### Fractions

- Multiplying Fractions
- Multi-Digit Multiplication and Scaling
- Fractions on a Number Line
- Fractions and Line Plots
- Fractions and Parts of a Set
- Equivalent Fractions
- Whole Numbers as Fractions
- Mixed Numbers and Improper Fractions
- Comparing Fractions
- Comparing Fractions with the Different Denominators
- Adding Fractions
- Adding Fractions with the Same Denominator
- Adding Fractions with Unlike Denominators
- Adding Mixed Number Fractions
- Subtracting Fractions
- Subtracting Fractions with the Same Denominator
- Subtracting Fractions with Unlike Denominators
- Subtraction of Mixed Numbers
- Addition and Subtraction of Mixed Numbers
- Decimal Fractions
- Fractions and Area Models
- Fractions and Equivalence
- Fractions and Greatest Common Factors
- Fractions and Least Common Multiples
- Rectangular Fraction Models and Equivalence
- Multiplication and Unit Fractions
- Multiplying Mixed Number Fractions and Arrays
- Multiplying Fractions by Whole Numbers
- Division with Unit Fractions
- Fractions and Tape Diagrams

### Division

- Division with One-Digit Divisors
- Division Facts
- Division Word Problems with One-Digit Divisors
- Division without Remainders
- Division with Remainders
- Divisibility Rules
- Division with Two-Digit Divisors
- Division with Multi-Digit Dividends
- Decimal Division
- Multi-Digit Decimal Division
- Decimal Division to the Tenths Place
- Decimal Division to the Hundredths Place
- Decimal Division to the Thousandths Place
- Decimal Division and Estimation
- Division and Powers of 10

### Measurement

- Measurement and Comparisons
- Length
- Comparing Length and Metric Units
- Units of Measurement
- Converting Metric Units
- Converting Between Different Units of Measurement
- Measurement and Equivalence
- Measurement and Area
- Scaling Shapes to a Whole Number Factor
- Measurement and Volume
- Formulas for Calculating Volume
- Measuring Volume as Additive
- Measurement Word Problems

### Data

### Geometry

- Graphing Points on a Coordinate Plane
- 2D Shapes
- Hexagons
- Pentagons
- 3D Shapes
- Rectangular Prisms
- Area
- Relating Area to Addition and Multiplication
- Area of a Rectangle
- Area and Unit Fractions
- Lines and Angles
- Classifying Shapes
- Measuring Angles
- Recognizing Angle Measures as Additive
- Lines of Symmetry
- Volume
- Volume of a Rectangular Prism
- Properties of Geometric Shapes
- Properties of Quadrilaterals
- Properties of Triangles
- Sort Two Dimensional Figures Based on Properties
- Scaling Shapes
- Geometry Word Problems