Grade 6 Math Units

Access Grade 6 Math unit plans with standards-based lessons that build number fluency, ratio reasoning, and real-world problem-solving skills.

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Grade 6 Math Units

Unit Plan 36 (Grade 6 Math): Cumulative Synthesis & Exhibition

6th graders demonstrate mastery across all math strands—ratios, number system, expressions, geometry, and statistics—by solving integrated real-world problems. Students model, calculate, and present claims with clear reasoning, evidence, and precise mathematical communication.

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Grade 6 Math Units

Unit Plan 35 (Grade 6 Math): Number System Power-Up—Rationals & Coordinates

6th graders master fraction and decimal operations, compare rational numbers using absolute value, and apply coordinate reasoning to reflections and grid distances. Students build fluency, model problems visually, and explain results with precise reasoning and units.

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Grade 6 Math Units

Unit Plan 34 (Grade 6 Math): Geometry Power-Up—Area, Surface Area, Volume

6th graders deepen geometry fluency by finding area through composition/decomposition, calculating surface area from nets, and determining volume with fractional edge lengths. Students use diagrams, coordinate grids, and clear units to justify and communicate their methods.

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Grade 6 Math Units

Unit Plan 33 (Grade 6 Math): Expressions & Equations Power-Up

6th graders strengthen fluency with expressions and equations by applying exponents, order of operations, and properties to create equivalent expressions. Students solve one-step equations and inequalities, interpret solutions in context, and justify reasoning with precision and structure.

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Grade 6 Math Units

Unit Plan 32 (Grade 6 Math): Percent & Ratio Mastery—Decisions with Data

6th graders apply percent, rate, and conversion reasoning to real-world scenarios involving discounts, tax, tips, and constant speed. Students compare options, compute unit rates, convert units, and justify recommendations with precise calculations, units, and assumptions.

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Grade 6 Math Units

Unit Plan 31 (Grade 6 Math): Relationship Modeling Project—y in Terms of x

6th graders model real-world two-quantity situations by building tables, graphs, and equations of the form y = mx + b. Students interpret rate (m) and starting amount (b) with units, analyze relationships, make predictions, and explain assumptions clearly.

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Grade 6 Math Units

Unit Plan 30 (Grade 6 Math): Summarizing Data Sets in Context

6th graders learn to write complete statistical summaries that include sample size, attribute, and units while reporting center, variability, shape, and outliers. Students justify measure choices, note limitations, and craft clear, cautious conclusions grounded in context.

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Grade 6 Math Units

Unit Plan 29 (Grade 6 Math): Center & Variability—Mean, Median, MAD, IQR

6th graders compute and interpret mean, median, MAD, and IQR to describe data center and spread. Students compare groups using these measures, justify when each is most appropriate, and explain results clearly with context and caution.

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Grade 6 Math Units

Unit Plan 28 (Grade 6 Math): Displaying Data—Dot Plots, Histograms, Box Plots

6th graders learn to construct and interpret dot plots, histograms, and box plots while choosing the best display for a given data set. Students explore how bin widths, scales, and display types reveal different insights about shape, center, and spread.

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Grade 6 Math Units

Unit Plan 27 (Grade 6 Math): Statistical Questions & Distributions

6th graders explore statistical thinking by writing statistical questions, collecting data, and describing distributions. Students analyze shape, center, and spread to interpret variability, communicate findings clearly, and connect data patterns to real-world contexts.

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Grade 6 Math Units

Unit Plan 26 (Grade 6 Math): Proportional Modeling—Recipes & Conversions

6th graders model proportional relationships using tables, graphs, and unit rates while converting between measurement systems. Students test proportionality, compute constant rates, apply conversion factors, and justify results with precise units and reasoning.

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Grade 6 Math Units

Unit Plan 25 (Grade 6 Math): Fraction & Decimal Operations in Context

6th graders integrate all four operations with fractions and decimals through real-world problem solving. Students estimate, compute, and justify results using models and algorithms, emphasizing reasonableness, precision, and clear unit communication.

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Grade 6 Math Units

Unit Plan 24 (Grade 6 Math): Ordering Rational Numbers & Absolute Value Review

6th graders compare and order rational numbers, explore absolute value as distance, and graph points across all four quadrants. Students reason about magnitude vs order, interpret distances, and justify relationships on the number line and coordinate plane.

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Grade 6 Math Units

Unit Plan 23 (Grade 6 Math): GCF, LCM, and the Distributive Property

6th graders find the greatest common factor (GCF) and least common multiple (LCM) using prime factorization and apply the distributive property to factor sums. Students connect these skills to real-world grouping, scheduling, and mental math problems for deeper number sense.

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Grade 6 Math Units

Unit Plan 22 (Grade 6 Math): Surface Area with Nets

6th graders build and interpret nets of prisms and pyramids to calculate surface area. They connect geometry to real packaging tasks, using square units, accurate triangle heights, and precise labeling for real-world applications.

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Grade 6 Math Units

Unit Plan 21 (Grade 6 Math): Volume of Right Rectangular Prisms

6th graders use V = lwh and V = B·h to find the volume of right rectangular prisms with whole and fractional edge lengths. They solve real-world packing and capacity problems using cubic units, estimation, and clear reasoning.

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Grade 6 Math Units

Unit Plan 20 (Grade 6 Math): Polygons on the Coordinate Plane

6th graders plot polygons on the coordinate plane, calculate horizontal and vertical side lengths using coordinate differences, and solve real-world map and design problems with accurate labeling, units, and perimeter reasoning.

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Grade 6 Math Units

Unit Plan 19 (Grade 6 Math): Area by Composition & Decomposition

6th graders find the area of triangles, quadrilaterals, and polygons by composing and decomposing shapes. They apply base–height reasoning, justify methods, and solve real-world geometry problems with precise units and clear explanations.

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Grade 6 Math Units

Unit Plan 18 (Grade 6 Math): Midyear Synthesis—Ratios, Percents, and Algebra

6th graders connect ratio, rate, and percent reasoning with algebra and coordinate modeling. Through integrated tasks, they write, solve, and graph equations and inequalities, interpret units, and justify real-world mathematical relationships.

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Grade 6 Math Units

Unit Plan 17 (Grade 6 Math): Two-Variable Relationships—Tables, Graphs, Equations

6th graders model two-variable relationships using tables, graphs, and equations. They write y in terms of x, identify rate of change and initial value, and explain real-world patterns with precision, reasoning, and units.

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Grade 6 Math Units

Unit Plan 16 (Grade 6 Math): Inequalities—Model, Solve, and Graph

6th graders learn to write and solve inequalities from real-world situations, graph solution sets with correct symbols, and interpret results using units. They test values, use substitution for accuracy, and explain what each inequality means in context.

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Grade 6 Math Units

Unit Plan 15 (Grade 6 Math): Equations from Context—x + p = q and px = q

6th graders understand solving as finding values that make an equation true. They write and solve one-step equations (x + p = q and px = q) with rational numbers, check solutions by substitution, and explain results clearly with units and reasoning.

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Grade 6 Math Units

Unit Plan 14 (Grade 6 Math): Equivalent Expressions—Properties at Work

6th graders use the commutative, associative, and distributive properties to expand, factor, and combine like terms. They determine when expressions are equivalent through property reasoning or substitution, writing clear justifications that emphasize structure and precision.

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Grade 6 Math Units

Unit Plan 13 (Grade 6 Math): Writing & Interpreting Algebraic Expressions

6th graders learn to write and interpret algebraic expressions from verbal statements, identify parts like terms and coefficients, and evaluate expressions in real contexts. They use parentheses strategically, explain structure choices, and ensure results are precise and meaningful.

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Grade 6 Math Units

Unit Plan 12 (Grade 6 Math): Exponents & Order of Operations

6th graders master exponents and the order of operations through structured evaluation of numerical and variable expressions. They apply grouping conventions, substitute values accurately, and use estimation and reasoning to ensure precision and clarity in every step.