Our Curriculum › Math › 6th Grade
Math 6
A full year of 6th-grade math: ratios and percent, dividing fractions, negative numbers, expressions and equations, area and volume, and statistics, followed by a long stretch of review, enrichment projects and a year-end showcase.
180 lessons
One a day for a school year
10 units
Each opens to its lessons
23 enrichment lessons
Math in sports, music, games & budgets
Standards
Common Core Grade 6 math
What's taught, unit by unit
Ratios, rates & percentDays 1–12
Equivalent ratios, ratio tables, unit rates, tape diagrams and double number lines, then percent as a ratio out of 100: finding a percent of a quantity, tax, tips and discounts, and converting between fractions, decimals and percents.
- 1 · Welcome to Math 6: Understanding Ratios
- 2 · Equivalent Ratios
- 3 · Ratio Tables
- 4 · Unit Rates
- 6 · Solving Ratio Problems with Tape Diagrams
- 7 · Solving Ratio Problems with Double Number Lines
- 8 · Introduction to Percent
- 9 · Finding a Percent of a Quantity
- 11 · Percent Word Problems
- 12 · Converting Between Fractions, Decimals, and Percents
Plus 2 review days, not listed.
Fraction division, negative numbers & the coordinate planeDays 13–25
Dividing any fraction by any fraction with word problems, then negative numbers, the number line, absolute value, comparing rational numbers, and plotting and reflecting points on the four-quadrant coordinate plane.
- 13 · Dividing Fraction by Fraction
- 14 · Fraction Division Word Problems
- 16 · Introduction to Negative Numbers
- 17 · The Number Line with Negative Numbers
- 18 · Absolute Value
- 19 · Rational Numbers on the Number Line
- 21 · Comparing and Ordering Rational Numbers
- 22 · The Four-Quadrant Coordinate Plane
- 23 · Reflecting Points Across Axes
- 24 · Finding Distance on the Coordinate Plane
Plus 3 review days, not listed.
Decimals, expressions & equationsDays 26–45
Adding, subtracting, multiplying and dividing decimals, then the start of algebra: exponents, writing and evaluating expressions, the distributive property, like terms, simple equations, variable relationships with tables, and inequalities.
- 26 · Adding and Subtracting Decimals
- 27 · Multiplying Decimals
- 28 · Dividing Decimals
- 29 · Decimal Word Problems
- 31 · Whole-Number Exponents
- 32 · Writing Numerical Expressions
- 33 · Writing Algebraic Expressions
- 34 · Evaluating Algebraic Expressions
- 36 · Equivalent Expressions
- 37 · Using the Distributive Property
- 38 · Combining Like Terms
- 39 · Writing and Solving Simple Equations
- 41 · Dependent and Independent Variables
- 42 · Writing Equations for Variable Relationships
- 43 · Using Tables to Show Variable Relationships
- 44 · Solving Inequalities
Plus 4 review days, not listed.
Area, volume & statisticsDays 46–60
Area of parallelograms, triangles, trapezoids and composite shapes; volume of boxes with fractional edges; nets and surface area; then statistical questions, mean, median, range, IQR, dot plots and histograms.
- 46 · Area of Parallelograms
- 47 · Area of Triangles
- 48 · Area of Trapezoids
- 49 · Area of Composite Polygons
- 51 · Volume of a Right Rectangular Prism with Fractional Edges
- 52 · Nets of 3D Figures
- 53 · Surface Area Using Nets
- 54 · Surface Area of Rectangular Prisms
- 56 · Introduction to Statistical Variability
- 57 · Measures of Center: Mean and Median
- 58 · Measures of Variability: Range and IQR
- 59 · Displaying Data: Dot Plots and Histograms
Plus 3 review days, not listed.
Ratio applications & first cumulative reviewsDays 61–70
Ratio, unit-rate, unit-conversion and percent applications such as recipes and paint mixes, followed by cumulative reviews of rational numbers, expressions and equations, area and volume, and a mixed challenge.
- 61 · Ratio Word Problems: Mixing and Scaling
- 62 · Unit Rate Comparisons
- 63 · Converting Units Using Ratio Reasoning
- 64 · Percent of a Quantity Applications
- 66 · Cumulative Review: Rational Numbers and the Coordinate Plane
- 67 · Cumulative Review: Expressions and Equations
- 68 · Cumulative Review: Area and Volume
- 69 · Big Mixed Challenge
Plus 2 review days, not listed.
Enrichment projects & term reviewsDays 71–90
Math in sports statistics, art and design, trip budgeting, designing and analyzing a survey, tessellations, logic puzzles, board-game design, careers and measurement systems, with cumulative reviews of ratios, algebra, geometry and statistics at the end.
- 71 · Enrichment: Math in Sports Statistics
- 72 · Enrichment: Ratios in Art and Design
- 73 · Enrichment: Budgeting a Trip
- 74 · Enrichment: Designing a Data Survey
- 76 · Enrichment: Analyzing Your Survey Data
- 77 · Enrichment: Designing a Tessellation
- 78 · Enrichment: Math Logic Puzzles
- 79 · Enrichment: Designing a Board Game
- 81 · Enrichment: Careers That Use Math
- 82 · Enrichment: Comparing International Measurement Systems
- 83 · Enrichment: Analyzing Real Data Sets
- 84 · Enrichment: Geometry in Architecture
- 86 · Cumulative Review: Ratios and Percent
- 87 · Cumulative Review: Algebra Skills
- 88 · Cumulative Review: Geometry and Statistics
- 89 · Big Mixed Challenge 2: Ratios, Algebra, Geometry, and Statistics
Plus 4 review days, not listed.
Expedition journal math & skills revisitedDays 91–110
A themed project using coordinates, mean and range, percent budgets, travel time, and map scales, then returns to one-step equations, graphing inequalities, classifying polygons, multi-digit fluency, and GCF and LCM word problems.
- 91 · Mapping Distances with Coordinates
- 92 · Analyzing Climate Data
- 93 · Comparing Climate Zones with Data
- 94 · Budgeting for Your Expedition Journal
- 96 · Calculating Travel Time and Distance
- 97 · Scaling a Map
- 98 · Calculating Percent of Ecosystem Land Use
- 99 · Finalizing Your Expedition Journal Math
- 101 · Solving One-Step Equations
- 102 · Graphing Inequalities on a Number Line
- 103 · Real-World Inequality Problems
- 104 · Reviewing Classifying Polygons
- 106 · Coordinate Plane Word Problems
- 107 · Reviewing Multi-Digit Multiplication and Division Fluency
- 108 · GCF and LCM Practice
- 109 · Using GCF and LCM in Word Problems
Plus 4 review days, not listed.
More enrichment & reviewDays 111–135
Math in music, sports teams, recipes, video games, shopping and data posters; cumulative reviews of number sense, ratios and geometry; goal-setting; a board game designed and played; and estimation challenges.
- 111 · Enrichment: Math Puzzles and Logic
- 112 · Enrichment: Math in Music
- 113 · Enrichment: Analyzing Sports Team Statistics
- 114 · Enrichment: Comparing Ratios in the Real World
- 116 · Cumulative Review: Number Sense
- 117 · Cumulative Review: Ratios, Rates, and Percent
- 118 · Cumulative Review: Geometry
- 119 · Big Mixed Challenge 3: Number Sense, Percent, Geometry, and Data
- 121 · Enrichment: Math in Cooking and Recipes
- 122 · Enrichment: Math in Video Games
- 123 · Enrichment: Comparing Prices and Value
- 124 · Enrichment: Designing a Data Poster
- 126 · Cumulative Review: Full-Term Skills Check
- 127 · Math Skills I've Mastered This Year
- 128 · Preparing for the Rest of the Year in Math
- 129 · Final Math Challenge: Mixed Skills Marathon
- 131 · Enrichment: Designing a Trading-Post Board Game
- 132 · Playing Your Math Board Game
- 133 · Enrichment: Estimation Challenges
- 134 · Enrichment: Percent of a Quantity in the Real World
Plus 5 review days, not listed.
Final reviews & practice assessmentsDays 136–160
Two final cumulative reviews, a look ahead to Grade 7, a math certificate project, a trivia marathon, practice assessments, year-in-review reflections, a skills marathon and portfolio preparation. All review and reflection; no new topics.
- 136 · Final Cumulative Review: Part 1
- 137 · Final Cumulative Review: Part 2
- 138 · Preparing for Grade 7 Math
- 139 · Math Skills Certificate Project
- 141 · Math Year in Review: My Favorite Topics
- 142 · Solving a Multi-Step Real-World Challenge
- 143 · Reviewing Your Math Certificate
- 144 · Math Trivia Marathon
- 146 · Math 6 Final Assessment Practice: Part 1
- 147 · Math 6 Final Assessment Practice: Part 2
- 148 · Reflecting on a Full Year of Math 6: Part 1
- 149 · Reflecting on a Full Year of Math 6: Part 2
- 151 · Final Cumulative Review, Round 2, Part 1: Ratios, Percents, and Decimals
- 152 · Final Cumulative Review, Round 2, Part 2: Equations, Triangle Area, and Data
- 153 · Math 6 Final Challenge: Mixed Skills Marathon
- 154 · Math 6 Final Assessment Practice: Comprehensive
- 156 · Math Year in Review: A Complete Look Back
- 157 · Finalizing Your Math Certificate
- 158 · Preparing Your Math Portfolio Showcase
- 159 · Reflecting on a Full Year of Math 6: Final Thoughts
Plus 5 review days, not listed.
Showcase, final quizzes & celebrationDays 161–180
Rehearsing and giving a math showcase, a fun day of puzzles and games, helping a younger student, a memory book and a letter to next year's self, three final cumulative quizzes, and a completion celebration.
- 161 · Practicing Your Math Showcase Presentation
- 162 · Reviewing Skills for Grade 7
- 163 · Math Fun Day: Puzzles and Games
- 164 · Helping a Younger Student with Math
- 166 · Math Memory Book: My Favorite Moments
- 167 · A Letter to Yourself Next Year
- 168 · Final Math Skills Check-In
- 169 · Preparing to Celebrate Completing Math 6
- 171 · Final Math Showcase Presentation
- 172 · Final Cumulative Quiz: Numbers and Ratios
- 173 · Final Cumulative Quiz: Algebra and Geometry
- 174 · Final Cumulative Quiz: Statistics
- 176 · Sharing Your Letter to Future You
- 177 · Math 6 Completion Celebration: Part 1
- 178 · Math 6 Completion Celebration: Part 2
- 179 · Looking Ahead to Grade 7 Math
- 180 · Congratulations! You Completed Math 6!
Plus 3 review days, not listed.
By the end of the year, your child can
- Use ratios, rates and tables to solve real-world problems
- Find a percent of a quantity and convert between fractions, decimals and percents
- Divide fractions and work with negative numbers on a number line and a four-quadrant graph
- Write and solve one-step equations and inequalities and evaluate algebraic expressions
- Find the area of triangles and polygons, and the volume and surface area of boxes
- Describe a data set with mean, median, range and IQR and display it on a dot plot or histogram
Other 6th Grade subjects: Reading 6 · Writing 6 · Science 6 · History 6