Grade 6 Math
9 units · printable worksheets, answer guides & syllabus.
Course syllabus
The full unit-by-unit outline (unit goals, section goals, lesson list).
Units
Start with the Unit worksheet to review the main ideas. For extra support or practice, choose a level below. PDFs open in a new tab; print or save them from your browser. Use the paired answer guide to check your work.
- Concept: start with the core idea.
- Practice: build fluency with more questions.
- Advanced: try more challenging problems.
Students reason about areas of polygons and surface areas of polyhedra, building on geometric understandings developed in earlier grades.
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Students learn about ratios and equivalent ratios, representing them with discrete diagrams, double number lines, tables, and tape diagrams, and reason about contexts such as recipes, color mixtures, unit pricing, constant speed, and part-part-whole situations.
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Students develop understanding of unit rates and percentages, building on prior work with equivalent ratios and constant rates and using measurement and unit-conversion situations to reason about rates per 1 and rates per 100.
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Students develop understanding of division of fractions by fractions, generalizing a process for finding quotients and applying it to problems about geometric figures with fractional measurements.
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Students solidify their understanding of the base-ten number system, extend the standard algorithms to add, subtract, and multiply decimals beyond tenths and hundredths, and learn to use algorithms to calculate quotients including long division.
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Students apply their understanding of arithmetic to reason about algebraic expressions and equations, solving simple equations, identifying equivalent expressions, working with exponents, and modeling relationships between two quantities with tables, graphs, and equations.
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Students learn about negative numbers and ways to represent them on a number line and the coordinate plane, write and graph simple inequalities in one variable, and determine the greatest common factor and least common multiple of two whole numbers.
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Students learn to classify questions as statistical or non-statistical, represent distributions of data with dot plots, histograms, and box plots, and describe distributions using measures of center (mean, median) and measures of variability (MAD, range, IQR).
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Students revisit and connect topics from across the year through optional explorations of estimation, energy and population, voting systems, and connections between geometric and algebraic representations of fractions.
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Adapted from the Illustrative Mathematics curriculum (v.360), licensed CC BY-NC 4.0. © Illustrative Mathematics.