Our Curriculum › Math › 5th Grade
Math 5
A full year of 5th-grade math: all four operations with decimals to thousandths, fractions with unlike denominators, multiplying and dividing fractions, volume, the coordinate plane, and measurement, plus long review stretches.
180 lessons
One a day for a school year
10 units
Each opens to its lessons
Decimals to thousandths
Add, subtract, multiply and divide
Standards
Common Core Grade 5 math
What's taught, unit by unit
Order of operations, patterns and the coordinate planeDays 1–10
Solving expressions with parentheses, brackets and braces, numerical patterns, ordered pairs, the first-quadrant coordinate plane, graphing points, and graphing ordered pairs made from two patterns.
- 1 · Welcome to Math 5!
- 2 · Order of Operations: Parentheses First
- 3 · Order of Operations: Brackets and Braces
- 4 · Numerical Patterns
- 6 · Ordered Pairs
- 7 · The Coordinate Plane
- 8 · Graphing Points
- 9 · Graphing Ordered Pairs from Patterns
Plus 2 review days, not listed.
Decimals and multi-digit operationsDays 11–25
Place value to thousandths, powers of 10, rounding decimals, multiplying multi-digit whole numbers, dividing by two-digit numbers, adding, subtracting, multiplying and dividing decimals, and fractions as division.
- 11 · Place Value to Thousandths
- 12 · Powers of 10
- 13 · Rounding Decimals
- 14 · Multiplying Multi-Digit Whole Numbers
- 16 · Dividing with Two-Digit Divisors
- 17 · Adding Decimals
- 18 · Subtracting Decimals
- 19 · Multiplying Decimals
- 21 · Dividing Decimals
- 22 · More Dividing Decimals
- 23 · Fractions as Division
- 24 · Solving Word Problems with Fractions as Division
Plus 3 review days, not listed.
Fractions: adding, subtracting, multiplying, dividingDays 26–40
Adding and subtracting fractions and mixed numbers with unlike denominators, estimating sums, multiplying a fraction by a whole number or another fraction, area with fractional sides, and dividing with unit fractions.
- 26 · Adding Fractions with Unlike Denominators
- 27 · Subtracting Fractions with Unlike Denominators
- 28 · Adding and Subtracting Mixed Numbers with Unlike Denominators
- 29 · Estimating Fraction Sums and Differences
- 31 · Multiplying a Fraction by a Whole Number
- 32 · Multiplying a Fraction by a Fraction
- 33 · Multiplying Fractions: Word Problems
- 34 · Area of a Rectangle with Fractional Sides
- 36 · Dividing a Whole Number by a Unit Fraction
- 37 · Dividing a Unit Fraction by a Whole Number
- 38 · Fraction Division Word Problems
- 39 · Multi-Step Problems with Fractions
Plus 3 review days, not listed.
Volume and classifying shapesDays 41–50
Volume by counting unit cubes, then with V = l x w x h and V = B x h, volume of combined solids and word problems, classifying 2D figures and triangles by their properties, with a mixed practice day.
- 41 · Volume: Counting Unit Cubes
- 42 · Volume Formula: V = l x w x h
- 43 · Volume Formula: V = B x h
- 44 · Volume of Combined Shapes
- 46 · Volume Word Problems
- 47 · Classifying 2D Figures: Hierarchy Review
- 48 · Classifying Triangles by Properties
- 49 · Mixed Practice: Fractions, Decimals, and Volume
Plus 2 review days, not listed.
Measurement, line plots and multi-step problemsDays 51–65
Converting units in the metric and customary systems, measurement word problems, line plots with fractional measurements, graphing real-world data, comparing two number patterns, perimeter and area, quadrilaterals, irregular figures and remainders.
- 51 · Converting Measurements Within the Metric System
- 52 · Converting Measurements Within Customary Units
- 53 · Measurement Word Problems
- 54 · Making Line Plots with Fractional Measurements
- 56 · Coordinate Plane: Graphing Real-World Data
- 57 · Analyzing Numerical Patterns Between Two Sequences
- 58 · Multi-Step Word Problems: Mixed Operations
- 59 · Geometry Review: Perimeter and Area
- 61 · Classifying Quadrilaterals
- 62 · Finding the Area of Irregular Figures
- 63 · Estimating and Checking Reasonableness
- 64 · Interpreting Remainders in Word Problems
Plus 3 review days, not listed.
Cumulative review and practiceDays 66–100
Review of decimals, fractions, geometry and measurement. Some new pieces: finding a missing side or dimension, comparing and ordering decimals and fractions, line graphs, composite solids, fractions as scaling, and coordinate-plane problems.
- 66 · Cumulative Review: Decimals
- 67 · Cumulative Review: Fractions
- 68 · Cumulative Review: Geometry and Measurement
- 69 · Mixed Problem-Solving Challenge
- 71 · Finding the Missing Side of a Rectangle
- 72 · Finding the Missing Dimension of a Prism
- 73 · Comparing and Ordering Decimals
- 74 · Comparing and Ordering Fractions
- 76 · Multi-Digit Multiplication Practice
- 77 · Two-Digit Divisor Division Practice
- 78 · Money Word Problems with Decimals
- 79 · Interpreting Graphs and Data
- 81 · Reading and Interpreting Line Graphs
- 82 · Volume of Composite Solids
- 83 · Practice: Volume of L-Shaped and Stepped Solids
- 84 · Line Plots with Fractional Measurements
- 85 · Interpreting and Computing with Line Plot Data
- 86 · Graphing Number Patterns on the Coordinate Plane
- 87 · More Practice: Number Patterns as Ordered Pairs
- 88 · Fraction Multiplication as Scaling
- 89 · Classifying Quadrilaterals by Shared Properties
- 90 · Classifying Triangles by Shared Properties
- 91 · Plotting a Garden Layout on the Coordinate Plane
- 92 · Graphing a Trip: Distance Over Time
- 93 · Cumulative Practice: Adding and Subtracting Fractions and Decimals
- 94 · Cumulative Practice: Multiplying and Dividing Fractions and Decimals
- 96 · Cumulative Review: Whole Number Operations
- 97 · Cumulative Review: Volume and Measurement
- 98 · Cumulative Review: Coordinate Plane
- 99 · Mixed Cumulative Challenge
Plus 5 review days, not listed.
More with fractions and mixed numbersDays 101–115
Simplifying fractions, converting mixed numbers and improper fractions, adding, subtracting and multiplying mixed numbers, fraction and decimal equivalents, comparing them, and multi-step fraction word problems.
- 101 · Simplifying Fractions
- 102 · Converting Mixed Numbers and Improper Fractions
- 103 · Adding Mixed Numbers
- 104 · Subtracting Mixed Numbers
- 106 · Multiplying Mixed Numbers
- 107 · Fraction and Decimal Equivalents
- 108 · Comparing Fractions and Decimals Together
- 109 · Multi-Step Fraction and Decimal Word Problems
- 111 · Dividing Unit Fractions and Whole Numbers
- 112 · Multi-Step Fraction Word Problems: Cooking
- 113 · Estimating with Fractions and Mixed Numbers
- 114 · Fraction and Decimal Review: Money and Measurement
Plus 3 review days, not listed.
Angles, polygons, composite shapes and volumeDays 116–135
Measuring and classifying angles with a protractor, regular and irregular polygons, quadrilaterals by parallel sides, area and perimeter of composite shapes, real-world volume, plotting figures on the coordinate plane and a room-design project.
- 116 · Reviewing Angles
- 117 · Measuring Angles with a Protractor
- 118 · Measuring and Classifying Angles in Real Shapes
- 119 · Angle and Fraction Mixed Practice
- 121 · Regular and Irregular Polygons
- 122 · Classifying Quadrilaterals by Parallel Sides and Angles
- 123 · Area and Perimeter of Composite Shapes
- 124 · Practice: Perimeter of Composite Shapes
- 126 · Real-World Volume Problems: V = l × w × h
- 127 · Volume Using V = B × h (Base Area Times Height)
- 128 · Plotting Geometric Figures on the Coordinate Plane
- 129 · Coordinate Plane Practice: Plotting a Triangle
- 131 · Room Design Project: Area and Volume Together
- 132 · Cumulative Practice: Shapes, Area, Volume, and the Coordinate Plane
- 133 · Geometry in Art and Design
- 134 · Designing Your Own Geometric Pattern
Plus 4 review days, not listed.
Review and real-world applicationsDays 136–160
Cumulative reviews of fractions, geometry vocabulary, volume, line plots, patterns and whole numbers, plus applications: comparing volumes, decimal budgets, a party budget, recipes, a garden layout and a travel schedule. Includes a word-problem marathon.
- 136 · Cumulative Review: Fractions and Mixed Numbers
- 137 · Cumulative Review: Geometry Vocabulary
- 138 · Cumulative Review: Volume, Line Plots, and Number Patterns
- 139 · Big Mixed Challenge
- 141 · Real-World Volume Applications
- 142 · Comparing Volumes
- 143 · Budgeting with Decimals
- 144 · Planning a Party Budget
- 146 · Reading a Recipe with Fractions and Scaling
- 147 · Planning a Garden Layout
- 148 · Reading a Travel Schedule with Elapsed Time
- 149 · Multi-Step Real-World Challenge
- 151 · Cumulative Review: Whole Numbers and Decimals
- 152 · Cumulative Review: Choosing the Right Fraction Rule
- 153 · Cumulative Review: Measurement and Volume
- 154 · Cumulative Review: Coordinate Plane and Patterns
- 156 · Cumulative Review: Geometry
- 157 · Cumulative Review: Fraction Division and Scaling
- 158 · Word Problem Marathon
- 159 · Math Skills I've Mastered This Year
Plus 5 review days, not listed.
Enrichment, final review and wrap-upDays 161–180
Math puzzles and applications in sports, cooking and building, math games, designing and playing a board game, then final cumulative reviews, a preview of 6th grade, a certificate project, reflection and a final assessment practice.
- 161 · Enrichment: Math Puzzles and Logic
- 162 · Enrichment: Math in Sports
- 163 · Enrichment: Math in Cooking and Baking
- 164 · Enrichment: Math in Building and Construction
- 166 · Enrichment: Math Games
- 167 · Enrichment: Estimation Challenges
- 168 · Enrichment: Designing a Board Game
- 169 · Playing Each Other's Math Games
- 171 · Final Cumulative Review: Part 1
- 172 · Final Cumulative Review: Part 2
- 173 · Preparing for Grade 6 Math
- 174 · Math Skills Certificate Project
- 176 · Math Year in Review: My Favorite Topics
- 177 · Final Math Challenge: Mixed Skills Marathon
- 178 · Math 5 Final Assessment Practice
- 179 · Reflecting on a Full Year of Math 5
- 180 · Congratulations! You Completed Math 5!
Plus 3 review days, not listed.
By the end of the year, your child can
- Add, subtract, multiply and divide decimals to thousandths
- Multiply multi-digit numbers and divide by two-digit numbers
- Add and subtract fractions with unlike denominators, and multiply fractions and mixed numbers
- Divide a whole number by a unit fraction, and a unit fraction by a whole number
- Find the volume of boxes and combined solids
- Graph points and number patterns on the coordinate plane
Other 5th Grade subjects: Reading 5 · Writing 5 · Science 5 · History 5