1
Build proportional reasoning
Ratios, unit rates, and percentages make comparison and scaling concrete.
Full 6th Grade Math
Knowledge Points & Study Guide
The full 6th Grade Common Core knowledge-point list. Free printable practice, downloadable PDF checklist, and Socratic missions — covering every CCSS standard for this grade.
Tip: every topic guide below is printer-friendly — open a guide and choose "Print → Save as PDF" to generate a free worksheet.
Handbook Learning Route
Use this handbook to cover the full 6th Grade skill map
Grade 6 should make students algebra-ready. Ratios, unit rates, percentages, negative numbers, expressions, equations, statistics, and surface area all require students to reason about relationships, not just compute answers.
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2
Prepare for algebra
Variables, expressions, equations, negative numbers, and quadrants connect symbols to meaning.
3
Extend to geometry and data
Decimal division, GCF/LCM, statistics, circle area, and surface area reinforce multi-step reasoning.
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Summer Plan · Free Printable PDF
Prevent the 6th Grade math summer slide in 15 minutes a day
3-week plan, free printable worksheets, no tutors required.
6th Grade Knowledge Points
13 Topics · Common Core Aligned- ⭕01
Circle Area
7.G.B.4Use radius, diameter, circumference, and area relationships to understand why the area of a circle is pi times radius squared.
Circle Radius Diameter Pi Area - ➗02
Decimal Division
6.NS.B.3Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm.
Divisor Dividend Decimal Shift Equivalent Quotient - ⚖️03
One-Step Equations
6.EE.B.7Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q.
Equation Solution Inverse Operation Balance - 🔤04
Algebraic Expressions
6.EE.A.2Write, read, and evaluate expressions in which letters stand for numbers.
Variable Coefficient Term Constant Evaluate - 🧩05
GCF and LCM
6.NS.B.4Find the greatest common factor of two whole numbers ≤ 100 and the least common multiple of two whole numbers ≤ 12.
GCF LCM Prime Factorization Common Factor - ➖06
Negative Numbers
6.NS.C.5Understand that positive and negative numbers are used together to describe quantities having opposite directions or values.
Negative Opposite Absolute Value Number Line - 💯07
Percentages
6.RP.A.3.CFind a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent.
Percent Per 100 Decimal Equivalent Of - 📍08
Coordinate Plane (4 Quadrants)
6.NS.C.6.BPlot ordered pairs of rational numbers on the coordinate plane in all four quadrants.
Quadrant Origin Negative Coordinate Reflection - 🔗09
Ratios
6.RP.A.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
Ratio Part-to-Part Part-to-Whole Equivalent Ratio - 📊10
Mean, Median, Range
6.SP.B.5Summarize numerical data sets in relation to their context (median, mean, range, mean absolute deviation).
Mean Median Mode Range - 📦11
Surface Area
6.G.A.4Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area.
Net Face Surface Area Rectangular Prism - ⚡12
Unit Rates
6.RP.A.2Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0.
Unit Rate Per Ratio Denominator - 🔣13
Variables in Word Problems
6.EE.B.6Use variables to represent numbers and write expressions when solving real-world problems.
Variable Unknown Real-World Translation
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