#### Place Value Through Thousands and Millions

#### Reading and Writing Whole Numbers

#### Comparing and Ordering Whole Numbers

#### Rounding Whole Numbers

#### Addition and Subtraction

- Using Addition Rules to Compute Sums
- Using Subtraction Rules to Compute Differences
- Assessing the Reasonableness of Addition Word Problems
- Solving Word Problems Using Bar Models
- Adding Multi-Digit Whole Numbers
- Adding Multi-Digit Whole Numbers with a Carry
- Subtracting Multi-Digit Whole Numbers
- Subtraction with Regrouping
- Subtracting Across Zeros
- Solving Addition Word Problems Using Estimation Strategies

#### Multiplication Facts

#### Multiplicative Comparison

- Using Times as Many for Comparison
- Computing Times as Many Using Drawings
- Computing Times as Many Using Multiplication
- Multiplication and Multiplicative Comparison
- Multiplicative Comparison Statements as Equations
- Solving Equations of Multiplicative Comparison Statements
- Distinguish Multiplicative Comparison from Additive Comparison
- Multiplicative and Additive Comparisons in Real Life

#### Multiplication by One-Digit Numbers

#### Patterns

#### Multiplication by Two-Digit Numbers

#### Division Facts

- Rounding up the Quotient to the Nearest Whole Number
- Division Using Repeated Subtraction
- Solving Word Problems Involving Repeated Subtraction
- Solving Division Word Problems Using Drawings
- Division Using Arrays
- Division and Multiplication
- Using Symbols for the Unknown Group Size in Word Problems
- Using Symbols for the Unknown Number of Groups in Word Problems
- Finding Group Size in Word Problems Using Bar Models and Drawings
- Finding Number of Groups in Word Problems Using Bar Models and Drawings

#### Long Division

#### Factors

- Factors and Factor Pairs
- Finding Factor Pairs Using Area Models and the Number Line
- Multiples
- Multiples Using Area Models
- Multiples and Factors
- Divisibility for Factors and Multiples
- Divisibility Rules for 2
- Divisibility Rules for 3 and 9
- Divisibility Rules for 6
- Divisibility Rules for 5 and 10
- Prime Numbers
- Composite Numbers
- Finding Prime Numbers

#### Points, Line Segments, Rays and Lines

#### Polygons

- Two-Dimensional Figures and Polygons
- Regular and Irregular Polygons
- Line and Angle Properties in Polygons
- Classifying Polygons Based on Perpendicular Lines
- Classifying Polygons Based on Parallel Lines
- Classifying Polygons Based on Parallel and Perpendicular Lines
- Two-Dimensional Shapes and Polygons in Real Life

#### Symmetry

#### Equivalent Fractions

#### Comparing Fractions

#### Adding and Subtracting Fractions with Like Denominators

#### Improper Fractions and Mixed Numbers

#### Adding and Subtracting Mixed Numbers

#### Multiplying Fractions with Whole Numbers

#### Comparing and Ordering Decimals

#### Fractions and Decimals

#### Area of Squares and Rectangles

#### Measurement: Perimeter

#### Measurement: Converting Customary Units of Length, Volume and Weight (Mass)

#### Measurement: Solving Problems

- Addition and Subtraction of Measurement Units (Whole Numbers)
- Addition and Subtraction of Measurement Units in Whole Numbers on the Number Line
- Using the Four Operations on Measurement Units in Whole Numbers
- Addition and Subtraction of Measurement Units (Fractions)
- Addition and Subtraction of Measurement Units in Fractions on the Number Line
- Solving Problems Involving Measurements Expressed as Fractions and Decimals

#### Line Plots

#### Adding Fractions with Denominator 10 or 100

#### 4.OA.1

#### 4.OA.2

- Finding Group Size in Word Problems Using Drawings
- Finding Number of Groups in Word Problems Using Drawings
- Finding Group Size in Word Problems Using Bar Models
- Finding Number of Groups in Word Problems Using Bar Models
- Using Symbols for the Unknown Product in Word Problems
- Using Symbols for the Unknown Group Size in Word Problems
- Using Symbols for the Unknown Number of Groups in Word Problems
- Distinguish Multiplicative Comparison from Additive Comparison
- Multiplicative and Additive Comparisons in Real Life

#### 4.OA.3

- Solving Word Problems Using Bar Models
- Using Drawings to Solve Multi-Step Word Problems
- Solving Division Word Problems Using Drawings
- Solving Word Problems Involving Repeated Subtraction
- Rounding Up the Quotient to the Nearest Whole Number
- Multiplication Word Problems Using Equations
- Multiplication Word Problems Using a Letter for the Unknown
- Solving Addition Word Problems Using Estimation Strategies
- Clustering Around an Average Strategy
- Assessing the Reasonableness of Addition Word Problems
- Mental Math Addition
- Mental Math Subtraction

#### 4.OA.4

- Factors and Factor Pairs
- Factor Pairs Using Area Models
- Finding Factor Pairs Using the Number Line
- Finding Factor Pairs
- Prime Numbers
- Composite Numbers
- Multiples
- Multiples Using Area Models
- Multiples and Factors
- Divisibility for Factors and Multiples
- Divisibility Rules for 2,3 and 5
- Divisibility Rules for 6, 9 and 10
- Finding Prime Numbers

#### 4.OA.5

#### 4.NBT.1

#### 4.NBT.2

#### 4.NBT.3

#### 4.NBT.4

#### 4.NBT.5

- Multiplication and the Multiplication Table
- Adding Fractions with Denominators 10 and 100
- Multiplication by Large Place Values and their Multiples
- Multiplication Using Expanded Form
- Multiplication of Whole Numbers Using the Standard Algorithm
- Multiplying Two-Digit Whole Numbers Using the Expanded
- Multiplying Two-Digit by Two-Digit Whole Numbers
- Associative Property of Multiplication

#### 4.NBT.6

- Division and Multiplication
- Division Using Multiplication Table
- Division Using Arrays
- Division Using Repeated Subtraction
- Dividing Whole Numbers Using Repeated Subtraction of Multiples of Ten
- Dividing Two-Digit Whole Numbers
- Dividing Three-Digit Whole Numbers
- Dividing Four-Digit Whole Numbers
- Long Division and Money
- Long Division with Remainder
- Short Division
- Division, Multiplication and Subtraction

#### 4.NF.1

#### 4.NF.2

#### 4.NF.3.a

- Adding Fractions with Equal Denominators
- Adding Fractions with Equal Denominators Using Area Models
- Adding Fractions with Equal Denominators on the Number Line
- Subtracting Fractions with Equal Denominator
- Subtracting Fractions with Equal Denominators on the Number Line
- Adding and Subtracting Fractions with Equal Denominators

#### 4.NF.3.b

#### 4.NF.3.c

- Mixed Numbers and Improper Fractions Using Visual Models
- Mixed Numbers and Improper Fractions on the Number Line
- Converting Mixed Numbers to Improper Fractions
- Converting Improper Fractions to Mixed Numbers
- Adding and Subtracting Mixed Numbers Using Visual Models
- Adding and Subtracting Mixed Numbers Using the Number Line
- Adding and Subtracting Mixed Numbers by Conversion to Improper Fractions
- Adding and Subtracting Mixed Numbers

#### 4.NF.3.d

- Word Problems with Fractions Using Area Models
- Word Problems with Fractions Using the Number Line
- Word Problems Involving Addition of Mixed Numbers
- Word Problems with Addition and Subtraction of Mixed numbers Using Area Models
- Word Problems with Addition and Subtraction of Mixed Numbers on the Number Line

#### 4.NF.4.a

#### 4.NF.4.c

#### 4.NF.5

#### 4.NF.6

#### 4.MD.1

#### 4.MD.2

- Addition and Subtraction of Measurement Units in Whole Numbers
- Addition and Subtraction of Measurement Units in Whole Numbers on the Number Line
- Using Four Operations on Measurement Units in Whole Numbers
- Addition and Subtraction of Measurement Units in Fractions
- Addition and Subtraction of Measurement Units in Fractions on the Number Line
- Word Problems Involving measurement Units in Fractions and Decimals

#### 4.MD.3

#### 4.MD.4

#### 4.MD.6

#### 4.G.1

#### 4.G.2

- Two-Dimensional Figures and Polygons
- Regular and Irregular Polygons
- Line and Angle Properties in Polygons
- Classifying Polygons Based on Perpendicular Lines
- Classifying Triangles Based on Angle Properties
- Classifying Polygons Based on Parallel Lines
- Classifying Polygons Based on Parallel and Perpendicular Lines
- Two-Dimensional Shapes and Polygons in Real Life