What You Learn in Grade 6 Math
Grade 6 Mathematics marks a significant shift in how students think about numbers. For most of elementary school, Math was about computing with whole numbers — adding, subtracting, multiplying, dividing. In Grade 6, the focus moves to relationships between quantities. Why does doubling a recipe require doubling every ingredient? Why does a 20% discount cost less on a cheaper item? These are ratio and proportional thinking questions, and they are where Grade 6 Math begins.
The second major shift is the introduction of variables. Students move from "solve 3 + ? = 7" to "evaluate 3 + x when x = 4" and then to "write an expression that represents the total cost of n items at $3 each." This is the beginning of algebra, and the students who master it in Grade 6 find all future math dramatically easier.
Geometry in Grade 6 is more rigorous than in earlier grades — students calculate area of triangles, parallelograms, and complex composite shapes, and extend this thinking into surface area and volume of 3D solids. Statistics introduces the idea of a distribution: not just "what is the average?" but "how spread out is the data, and what does that tell us?"
The curated videos on this page are ranked using a quality score that accounts for channel reputation, view count, like ratio, and instructional clarity. The video ranked #1 for each topic is the single best explanation available — start there, and use the others for additional practice and alternative explanations if you need them.
Ratios & Proportional Relationships
Understanding ratios as comparisons, equivalent ratios, ratio tables, unit rates, and applying proportional reasoning to real-world problems including percent calculations.
📚 Study Notes
Key Concepts
- A ratio compares two quantities — write as 3:4, 3/4, or "3 to 4"
- Equivalent ratios are created by multiplying or dividing both parts by the same number
- Unit rate = value per 1 unit (e.g., $2 per apple, 60 km per hour)
- Percent means "out of 100" — convert fraction → decimal → percent
- Use a ratio table to find missing values in proportional problems
The Number System
Division of fractions by fractions, operations with multi-digit decimals, understanding negative numbers on the number line, and ordering rational numbers.
📚 Study Notes
Key Concepts
- To divide fractions: Keep the first fraction, Change ÷ to ×, Flip the second fraction (KCF)
- Negative numbers are less than zero — the farther left on the number line, the smaller
- Absolute value |n| = distance from zero — always positive or zero
- When multiplying/dividing decimals, count total decimal places in the factors
- To order rational numbers, convert all to decimals first
Expressions & Variables
Writing and reading algebraic expressions, evaluating expressions by substitution, identifying parts of an expression (term, coefficient, constant, factor).
📚 Study Notes
Key Concepts
- Variable: a letter that represents an unknown number (e.g., x, y, n)
- Coefficient: the number multiplied by the variable (in 7x, the coefficient is 7)
- Constant: a number with no variable (in 3x + 5, the constant is 5)
- Evaluate: substitute the given value for the variable, then follow order of operations
- Like terms have the same variable AND same exponent — only like terms can be combined
Equations & Inequalities
Solving one-step equations using substitution and properties of equality. Writing and solving inequalities. Understanding the difference between an equation and an inequality.
📚 Study Notes
Key Concepts
- Equation: two expressions set equal (x + 3 = 10) — one solution
- Inequality: uses <, >, ≤, ≥ — usually infinite solutions, shown on a number line
- Solve by doing the inverse operation to both sides to isolate the variable
- "At least" means ≥ | "At most" means ≤ | "More than" means >
- Check your answer by substituting it back into the original equation
Geometry: Area & Surface Area
Area of triangles, quadrilaterals, and polygons by composing/decomposing shapes. Surface area of 3D figures using nets. Volume of right rectangular prisms.
📚 Study Notes
Key Concepts
- Area of a triangle = ½ × base × height (height must be perpendicular to base)
- Area of a parallelogram = base × height (NOT base × slant side)
- Decompose complex shapes into triangles and rectangles, then add areas
- Surface area = total area of all faces (use the net to see all faces)
- Volume of a rectangular prism = length × width × height
Statistics & Data
Statistical questions, measures of centre (mean, median, mode), measures of variability (range, IQR, MAD), and displaying data in dot plots, histograms, and box plots.
📚 Study Notes
Key Concepts
- Mean: sum of all values ÷ count (affected by outliers)
- Median: middle value when ordered (not affected by outliers)
- Mode: most frequent value (a data set can have multiple modes or none)
- Range = max − min | IQR = Q3 − Q1 (middle 50% spread)
- Use a histogram to see the shape/distribution of data
💡 Study Strategies for Grade 6 Math
Show all steps. In Grade 6, the working is as important as the answer. Practise writing out every step, even for problems that feel easy — it builds the habits you need for harder topics.
Master fractions first. Fraction division is the most commonly failed topic at the start of Grade 6. Spend extra time here — everything else builds on it.
Use number lines. Every time you work with negative numbers or fractions, draw a number line. It prevents sign errors and makes ordering problems visual and intuitive.
Practise word problems. At least one-third of Grade 6 Math assessments involve real-world contexts. Translate the situation into an equation before solving — don't skip this step.
🎬 Grade 6 Math Videos
Top-ranked videos for Grade 6 Mathematics — starting with the highest-quality picks first.