🔢 Grade 5 Math

Operations, Fractions, Decimals, Geometry & More!

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Unit 1

Numerical Expressions (5.OA.1-2)

16 Lessons
1Order of Operations Review - PEMDAS/GEMDAS
2Left to Right Rule
3Why Order Matters
4Understanding Parentheses ( )
5Evaluating with Parentheses
6Nested Parentheses
7Understanding Brackets [ ]
8Brackets vs Parentheses
9Understanding Braces { }
10Order: Parentheses → Brackets → Braces
11Writing Numerical Expressions
12Translating Words to Expressions
13Expressions vs Equations
14Interpreting Expressions Without Evaluating
15Comparing Expressions
16Numerical Expressions Assessment
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Unit 2

Patterns & Relationships (5.OA.3)

13 Lessons
1Identifying Number Patterns
2Pattern Rules
3Extending Patterns
4Input-Output Tables
5Generating Two Patterns
6Using Two Given Rules
7Comparing Two Patterns
8Identifying Relationships Between Patterns
9Forming Ordered Pairs (x, y)
10Tables to Ordered Pairs
11Graphing Patterns on Coordinate Plane
12Real-World Pattern Applications
13Patterns & Relationships Assessment
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Unit 3

Place Value System (5.NBT.1-2)

14 Lessons
1Place Value Review - Ones to Millions
2Value of Digits
3Standard, Word & Expanded Form
410 Times as Much (Moving Left)
51/10 of (Moving Right)
6Patterns in Place Value
7What are Powers of 10?
8Exponents (10¹, 10², 10³...)
9Multiplying by Powers of 10
10Decimal Point Movement (Multiplication)
11Dividing by Powers of 10
12Decimal Point Movement (Division)
13Powers of 10 Patterns
14Place Value System Assessment
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Unit 4

Decimals - Place Value (5.NBT.3)

14 Lessons
1Decimal Place Value - Tenths
2Decimal Place Value - Hundredths
3Decimal Place Value - Thousandths
4Place Value Chart for Decimals
5Reading Decimals - Standard Form
6Writing Decimals - Word Form
7Expanded Form with Decimals
8Comparing Decimals Using Place Value
9Using <, >, = with Decimals
10Ordering Decimals
11Rounding Decimals to Any Place
12Decimals on Number Line
13Locating Decimals Between Two Numbers
14Decimal Place Value Assessment
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Unit 5

Multi-Digit Whole Number Operations (5.NBT.5-6)

16 Lessons
1Multi-Digit Multiplication Review (2-Digit × 2-Digit)
23-Digit × 2-Digit Multiplication
34-Digit × 2-Digit Multiplication
4Standard Algorithm for Multiplication
5Multiplication Fluency Practice
6Estimation in Multiplication
7Multi-Digit Division (3-Digit ÷ 1-Digit)
84-Digit ÷ 1-Digit Division
93-Digit ÷ 2-Digit Division
104-Digit ÷ 2-Digit Division
11Partial Quotients Strategy
12Standard Algorithm for Division
13Interpreting Remainders
14Multi-Step Word Problems
15Checking Reasonableness
16Multi-Digit Operations Assessment
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Unit 6

Decimal Operations (5.NBT.7)

18 Lessons
1Adding Decimals - Using Place Value
2Aligning Decimal Points (Addition)
3Regrouping with Decimals
4Subtracting Decimals - Using Place Value
5Aligning Decimal Points (Subtraction)
6Estimation with Decimal Addition & Subtraction
7Multiplying Decimals - Decimal × Whole Number
8Decimal × Decimal Multiplication
9Area Models for Decimal Multiplication
10Placing the Decimal Point in Products
11Estimation with Decimal Multiplication
12Dividing Decimals - Decimal ÷ Whole Number
13Whole Number ÷ Decimal
14Decimal ÷ Decimal Division
15Estimation with Decimal Division
16Money Problems with Decimals
17Multi-Step Decimal Word Problems
18Decimal Operations Assessment
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Unit 7

Adding & Subtracting Fractions (5.NF.1-2)

16 Lessons
1Equivalent Fractions Review
2Simplifying Fractions
3Unlike Denominators - Finding Common Denominators
4Least Common Denominator (LCD)
5Adding Fractions with Unlike Denominators
6Adding Fractions with Models
7Simplifying Sums
8Subtracting Fractions with Unlike Denominators
9Subtracting Fractions with Models
10Adding & Subtracting Mixed Numbers
11Regrouping & Borrowing with Mixed Numbers
12Estimating with Fractions (Benchmark: 0, 1/2, 1)
13Checking Reasonableness
14Addition Word Problems
15Subtraction Word Problems
16Adding & Subtracting Fractions Assessment
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Unit 8

Fractions as Division (5.NF.3)

8 Lessons
1Understanding Fractions as Division (a/b = a ÷ b)
2Visual Models for Division
3Sharing Problems
4Division to Fraction Conversion
5Whole Number ÷ Whole Number = Fraction
6Interpreting Remainders as Fractions
7Equal Sharing Word Problems
8Fractions as Division Assessment
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Unit 9

Multiplying Fractions (5.NF.4-6)

18 Lessons
1Fractions × Whole Numbers Review
2Whole Numbers × Fractions
3Fraction of a Whole Number
4Fractions × Fractions - Understanding the Concept
5Area Models for Fraction Multiplication
6Number Lines for Fraction Multiplication
7Algorithm (Multiply Across)
8Simplifying Products
9Mixed Numbers × Whole Numbers
10Mixed Numbers × Fractions
11Mixed Numbers × Mixed Numbers
12Multiplication as Scaling (> 1 vs < 1)
13Comparing Factor & Product
14Area with Fractional Sides
15Tiling with Unit Fractions
16Multiplication Word Problems
17Multi-Step Fraction Problems
18Multiplying Fractions Assessment
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Unit 10

Dividing Fractions (5.NF.7)

11 Lessons
1Understanding Fraction Division
2Relationship to Multiplication
3Visual Models for Division
4Unit Fractions ÷ Whole Numbers (1/3 ÷ 4)
5Algorithm for Unit Fraction Division
6Whole Numbers ÷ Unit Fractions (4 ÷ 1/3)
7"How Many Groups?" Problems
8Algorithm for Dividing by Unit Fractions
9Sharing Division Word Problems
10Grouping Division Word Problems
11Dividing Fractions Assessment
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Unit 11

Measurement Conversions (5.MD.1)

20 Lessons
1Metric System Review - Units & Prefixes
2Metric Length Conversions (km ↔ m ↔ cm ↔ mm)
3Metric Mass Conversions (kg ↔ g ↔ mg)
4Metric Capacity Conversions (kL ↔ L ↔ mL)
5Multi-Step Metric Conversions
6Customary System Review
7Customary Length (mi ↔ yd ↔ ft ↔ in)
8Customary Weight (T ↔ lb ↔ oz)
9Customary Capacity (gal ↔ qt ↔ pt ↔ c ↔ fl oz)
10Multi-Step Customary Conversions
11Time Conversions (hr ↔ min ↔ sec)
12Days ↔ Hours
13Conversion Tables
14Using Multiplication for Conversions
15Using Division for Conversions
16Real-World Conversion Problems
17Multi-Step Conversion Word Problems
18Choosing Appropriate Units
19Estimating Measurements
20Measurement Conversions Assessment
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Unit 12

Data & Line Plots (5.MD.2)

12 Lessons
1Line Plots Review - Reading & Interpreting
2Finding Range & Mode
3Line Plots with Fractions (1/2 Units)
4Line Plots with Fractions (1/4 Units)
5Line Plots with Fractions (1/8 Units)
6Creating Line Plots from Data
7Adding Fractional Data from Line Plots
8Subtracting Fractional Data
9Multiplying & Dividing with Line Plot Data
10Solving Total Amount Problems
11Real-World Line Plot Problems
12Data & Line Plots Assessment
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Unit 13

Volume (5.MD.3-5)

15 Lessons
1What is Volume?
2Volume vs Area vs Perimeter
33D Space & Real-World Examples
4Unit Cubes - What is a Unit Cube?
5Cubic Units (cm³, in³, ft³)
6Measuring Volume by Counting Unit Cubes
7Counting Layers
8Volume Formula: V = l × w × h
9Volume Formula: V = B × h (Base × Height)
10Finding Missing Dimensions
11Volume as Additive - Composite Figures
12Decomposing 3D Shapes
13L-Shaped Prisms
14Volume Word Problems
15Volume Assessment
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Unit 14

Coordinate Plane (5.G.1-2)

13 Lessons
1Introduction to Coordinate Plane
2X-Axis & Y-Axis
3Origin & Perpendicular Number Lines
4First Quadrant
5Ordered Pairs (x, y) Notation
6X-Coordinate (Horizontal) & Y-Coordinate (Vertical)
7Plotting Points - Move Right (x), Then Up (y)
8Identifying Coordinates of Points
9Graphing Real-World Problems
10Distance & Location Problems
11Graphing Patterns as Ordered Pairs
12Interpreting Pattern Graphs
13Coordinate Plane Assessment
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Unit 15

Classifying 2D Shapes (5.G.3-4)

17 Lessons
1Polygons Review - What is a Polygon?
2Regular vs Irregular Polygons
3Classifying Triangles by Sides (Equilateral, Isosceles, Scalene)
4Classifying Triangles by Angles (Acute, Right, Obtuse)
5Combining Triangle Classifications
6Properties of Quadrilaterals
7Parallelograms - Properties
8Rectangles
9Rhombuses
10Squares
11Trapezoids
12Shape Hierarchy - Categories & Subcategories
13"All Squares are Rectangles" - Understanding Hierarchy
14Venn Diagrams for Shapes
15Tree Diagrams for Shape Classification
16"Always, Sometimes, Never" Statements
17Classifying 2D Shapes Assessment
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Unit 16

Mathematical Practices

13 Lessons
1Make Sense of Problems
2Persevere in Solving
3Multiple Entry Points
4Reason Abstractly & Quantitatively
5Construct Arguments
6Critique Reasoning of Others
7Model with Mathematics
8Visual Models & Real-World Connections
9Use Tools Strategically
10Attend to Precision
11Look for Structure
12Look for Patterns & Repeated Reasoning
13Mathematical Practices Assessment
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Unit 17

Word Problems

15 Lessons
1Multi-Step Problems - Identifying Steps
2Order of Operations in Word Problems
3Checking Your Work
4Problems with Whole Numbers (All Operations)
5Real-World Whole Number Contexts
6Decimal Money Problems
7Decimal Measurement Problems
8Mixed Decimal Operations
9Fraction Addition/Subtraction Problems
10Fraction Multiplication Problems
11Fraction Division Problems
12Mixed Operations with Fractions
13Choosing the Right Operation
14Estimation & Reasonableness
15Word Problems Assessment
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Unit 18

Cumulative Review

9 Lessons
1Place Value & Decimals Review
2Whole Number Operations Review
3Fraction Operations Review
4Decimal Operations Review
5Measurement & Conversions Review
6Geometry Review
7Coordinate Plane & Volume Review
8Mixed Practice Problems
9End-of-Year Assessment Prep

🌟 Welcome to Grade 5 Math! 🌟

Master operations, fractions, decimals, geometry, and more!

📚 18 Units • 📝 240+ Lessons • 🎯 Common Core Aligned

Build strong mathematical foundations for middle school success!

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