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Grade 6 Math

9 units · printable worksheets, answer guides & syllabus.

Course syllabus

The full unit-by-unit outline (unit goals, section goals, lesson list).

📄 Full Syllabus (PDF)

Units

Each unit has a student worksheet and a parent/teacher answer guide.

Unit 1 Area and Surface Area

Students reason about areas of polygons and surface areas of polyhedra, building on geometric understandings developed in earlier grades.

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Unit 2 Introducing Ratios

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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Unit 3 Unit Rates and Percentages

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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Unit 4 Dividing Fractions

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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Unit 5 Arithmetic in Base Ten

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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Unit 6 Expressions and Equations

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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Unit 7 Rational Numbers

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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Unit 8 Data Sets and Distributions

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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Unit 9 Putting It All Together

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.