# Fifth Grade math skills progression

**New!**Skills with a symbol now have detailed teaching strategies to help you help your child!

### Data

### Math Challenges

### Number Sense

- Counting
- Three-Digit Numbers
- Comparing Three-Digit Numbers
- Multi-Digit Numbers
- Place Value
- Number Theory
- Factors and Multiples
- Three-Digit Place Value
- Four-Digit Place Value
- Multi-Digit Place Value
- Rounding Numbers
- Multi-Digit Numbers
- Rounding to the Nearest 10
- Comparing Multi-Digit Numbers
- Rounding to the Nearest 100
- Place Value and Multi-Digit Numbers
- Rounding Multi-Digit Numbers
- Place Value up to Hundred-Thousands Place
- Place Value up to Millions Place
- Place Value and Numbers in Expanded Form
- Place Value and Multiplicative Comparisons
- Decimal Numbers
- Exponents
- Rounding Decimal Numbers
- Rounding Decimal Numbers to the Nearest Tenth
- Rounding Decimal Numbers to the Nearest Hundredth
- Rounding Decimal Numbers to the Nearest Thousandth
- Expanded Form
- Comparing Decimal Numbers
- Ordering Decimal Numbers
- Convert Decimals to Fractions
- Order of Operations and Use of Parentheses
- Understanding Expressions and Equations
- Prime and Composite Numbers

### Addition

- Addition Facts
- Addition Within 10
- Multi-Digit Addition
- Three-Digit Addition
- Three-Digit Addition
- Three-Digit Addition and Missing Factors
- Adding Decimals
- Addition with Decimal Numbers to the Tenths Place
- Addition with Decimal Numbers to the Hundredths Place
- Addition with Decimal Numbers to the Thousandths

### Subtraction

### Multiplication

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

### Division

- Division Facts
- Long Division
- Division without Remainders
- Division with Remainders
- Division with Two-Digit Divisors
- Division with One-Digit Divisors
- Division with Multi-Digit Numbers
- 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

### Mixed Operations

### Fractions

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

### Decimals

### Percents, Ratios, and Rates

### Algebra

### Geometry

- 2D Shapes
- Flat Shapes
- Pentagons
- Hexagons
- 3D Shapes
- Cubes
- Decomposing Shapes
- Classifying Shapes
- Shape Properties
- Properties of Triangles
- Properties of Quadrilaterals
- Lines and Angles
- Symmetry
- Lines of Symmetry
- Lines
- Angles
- Measuring Angles
- Perimeter
- Classifying Angles
- Perimeter of a Rectangle
- Area
- Relating Area to Addition and Multiplication
- Area and Unit Fractions
- Area of a Rectangle
- Area of a Triangle
- Surface Area
- Properties of Geometric Shapes
- Volume
- Volume of a Rectangular Prism
- Sort Two Dimensional Figures Based on Properties
- Scaling Shapes

### Measurement

- Comparing Measurement
- Length
- Measurement and Equivalence
- Measurement Tools and Strategies
- Units of Measurement
- Metric Measurement
- Measuring in Centimeters
- Measuring in Meters
- Units of Measurement
- Measuring Length
- Length and Metric Units
- Measuring Volume
- Measurement and Capacity
- Converting Between Different Units of Measurement
- Scale and Conversions
- Converting Metric Units
- Scaling Shapes to a Whole Number Factor
- Systems of Measurement
- Measurement and Area
- Measurement and Volume
- Measuring Volume as Additive

### Data and Graphing

### Math Word Problems

- Addition Word Problems
- Two-Digit Addition Word Problems
- Subtraction Word Problems
- Two-Digit Subtraction Word Problems
- Multiplication Word Problems
- Division Word Problems
- Mixed Operation Word Problems
- Multi-Digit Multiplication Word Problems
- Fraction Word Problems
- Geometry Word Problems
- Measurement Word Problems
- Data Word Problems