Effortless Math · Grade 6
A clearer path through sixth-grade math
Work through one idea at a time. Predict, explore a visual model, study the lesson, then use fresh skill practice, a five-question check, and unit reviews. Mark the skill when you feel ready, and return whenever you need another look.
A practical study path for students, families, tutors, and teachers. Every lesson and practice set opens in a separate tab so your place here is saved.
Your course progress
Choose a name or initials if you share this device. Lesson checkmarks, skill-practice sessions, lesson checks, and unit checks stay in this browser.
Start anywhere, or follow the units in order.
About saved progress: This version saves checkmarks and practice results on this browser and device only. It does not create an account or send student names or results to a server. To share progress with a tutor or teacher, download the report or print this page.
A simple way to use each topic
Short, steady sessions work well for most students. Tutors and teachers can assign a unit or pick the exact skill their student is studying in class.
Predict what the visual model will show, then read the worked examples. Say what each number or step means.
Use fresh 5- or 10-question skill rounds. Check one answer at a time, read the explanation, and return to the visual model if you need another look.
After a unit, use its fresh unit check to explain ideas across topics. Review saved practice results and return to earlier lessons during mixed review.
“Build the foundation” topics help review earlier skills. “Extension / state-specific” topics are useful enrichment and may not be a core Common Core Grade 6 expectation.
Course lessons
Open a unit to see its lessons, standards focus, and practice quizzes.
01Ratios, rates, and proportional relationships8 short topics · 6.RP.A.1–30 / 8
Compare quantities with words, tables, diagrams, graphs, and equations. Start with what each number means before choosing a calculation.
Take the fresh Unit 1 check →Not yet taken
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Understanding RatiosCore lesson
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Writing Ratios in Different FormsCore lesson
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Equivalent RatiosCore lesson
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Ratio TablesCore lesson
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Unit RatesCore lesson
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Comparing Unit RatesCore lesson
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Solving Ratio ProblemsCore lesson
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Proportions and Cross MultiplicationExtension / state-specific
02Fractions and fraction operations8 short topics · 6.NS.A.1 · fraction division is a central Grade 6 target0 / 8
Make sense of the size of a fraction, then use a model to explain what multiplication or division means.
Take the fresh Unit 2 check →Not yet taken
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Simplifying FractionsBuild the foundation
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Adding Fractions with Unlike DenominatorsBuild the foundation
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Subtracting Fractions with Unlike DenominatorsBuild the foundation
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Adding and Subtracting Mixed NumbersBuild the foundation
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Multiplying FractionsBuild the foundation
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Multiplying Mixed NumbersBuild the foundation
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Dividing FractionsCore lesson
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Dividing Mixed NumbersCore lesson
03Decimal place value and operations8 short topics · 6.NS.B.3 · decimal computation0 / 8
Use place value and estimation to predict a reasonable answer before calculating.
Take the fresh Unit 3 check →Not yet taken
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Decimal Place ValueCore lesson
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Comparing and Ordering DecimalsCore lesson
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Adding and Subtracting DecimalsCore lesson
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Multiplying DecimalsCore lesson
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Dividing Decimals by Whole NumbersCore lesson
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Dividing Decimals by DecimalsCore lesson
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Converting Fractions to DecimalsBuild the foundation
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Converting Decimals to FractionsBuild the foundation
04Negative numbers and the coordinate plane6 short topics · 6.NS.C.5–80 / 6
Use the number line to reason about order and distance. Then connect horizontal and vertical number lines to ordered pairs.
Take the fresh Unit 4 check →Not yet taken
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Understanding Positive and Negative NumbersCore lesson
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Integers on a Number LineCore lesson
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Opposites and Absolute ValueCore lesson
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Comparing and Ordering IntegersCore lesson
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Graphing on the Coordinate PlaneCore lesson
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Reflecting Points on the Coordinate PlaneCore lesson
05Factors, multiples, and number structure5 short topics · 6.NS.B.40 / 5
Use factor pairs and multiples to explain divisibility, common factors, and common multiples.
Take the fresh Unit 5 check →Not yet taken
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Divisibility RulesBuild the foundation
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Prime and Composite NumbersCore lesson
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Prime FactorizationCore lesson
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Greatest Common FactorCore lesson
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Least Common MultipleCore lesson
06Percents and real situations6 short topics · 6.RP.A.3c0 / 6
Connect percent to “per 100,” then use ratio reasoning to find a part or a whole. Extra applications may be labeled as extensions.
Take the fresh Unit 6 check →Not yet taken
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Understanding PercentsCore lesson
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Fractions, Decimals, and PercentsCore lesson
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Finding the Percent of a NumberCore lesson
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Finding the Whole Given a PercentCore lesson
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Percent Increase and DecreaseExtension / state-specific
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Discounts, Tax, and TipsCore lesson
07Expressions, equations, and inequalities10 short topics · 6.EE.A.1–4 · 6.EE.B.5–8 · 6.EE.C.90 / 10
Translate words into symbols, explain what a variable represents, and use properties to make equivalent expressions.
Take the fresh Unit 7 check →Not yet taken
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Writing Algebraic ExpressionsCore lesson
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Evaluating Algebraic ExpressionsCore lesson
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Order of OperationsCore lesson
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The Distributive PropertyCore lesson
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Combining Like TermsCore lesson
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Writing Equations from Word ProblemsCore lesson
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Writing and Graphing InequalitiesCore lesson
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Solving One-Step InequalitiesExtension / state-specific
08Area and polygons6 short topics · 6.G.A.1, 6.G.A.30 / 6
Break a shape into familiar pieces, label measurements, and keep square units attached to the answer.
Take the fresh Unit 8 check →Not yet taken
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Area of Rectangles and SquaresCore lesson
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Area of ParallelogramsCore lesson
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Area of TrianglesCore lesson
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Area of TrapezoidsCore lesson
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Area of Composite FiguresCore lesson
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Area of Polygons on the Coordinate PlaneCore lesson
09Nets, surface area, and volume6 short topics · 6.G.A.2, 6.G.A.40 / 6
Connect a solid to its net and to the unit squares or cubes that measure its surface or volume.
Take the fresh Unit 9 check →Not yet taken
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Nets of 3D FiguresCore lesson
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Surface Area of Rectangular PrismsCore lesson
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Surface Area of Triangular PrismsCore lesson
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Surface Area of PyramidsCore lesson
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Volume of Rectangular PrismsCore lesson
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Volume with Fractional Edge LengthsCore lesson
10Statistics and data9 short topics · 6.SP.A.1–3 · 6.SP.B.4–50 / 9
Ask a question that expects varied answers, describe a distribution, and choose a measure that fits the data.
Take the fresh Unit 10 check →Not yet taken
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Statistical QuestionsCore lesson
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MeanCore lesson
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Median and ModeCore lesson
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RangeCore lesson
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Mean Absolute DeviationCore lesson
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Dot PlotsCore lesson
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HistogramsCore lesson
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Box PlotsCore lesson
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Summarizing and Describing DistributionsCore lesson
No lessons match that search. Try a shorter topic name.
Choose the next kind of practice
Pair the course with the free Grade 6 hub. Use these tools when a learner needs another format, more repetition, or a wider check across skills.