Grade 7 Math Units

Explore Grade 7 Math unit plans with standards-based lessons that strengthen proportional reasoning, algebraic thinking, and problem-solving skills.

Grade 7 Math Units

Unit Plan 36 (Grade 7 Math): Cumulative Synthesis & Exhibition

7th graders showcase full-spectrum math mastery through integrated team projects combining ratios, equations, geometry, and probability. They model, compute, and present findings with clear visuals, accurate units, justified reasoning, and evidence-based critique.

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Grade 7 Math Units

Unit Plan 35 (Grade 7 Math): Mixed Review—Algebra, Geometry, and Data

7th graders tackle integrated math tasks connecting proportions, algebra, geometry, and probability. They model real scenarios, compute with precision, justify reasoning with units, and communicate data-driven conclusions supported by estimation and evidence.

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Grade 7 Math Units

Unit Plan 34 (Grade 7 Math): Proportional Modeling Project—From Data to Decision

7th graders design and analyze proportional situations like recipes, speed, or cost. They collect data, compute unit rates, write equations, and graph y = kx to make predictions, compare options, and justify conclusions with clear assumptions and limits.

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Grade 7 Math Units

Unit Plan 33 (Grade 7 Math): Rational Numbers in the Wild

7th graders solve multistep real-world problems using signed fractions and decimals. They estimate, calculate precisely, and report results with units and error bounds, building accuracy, structure, and real-world quantitative reasoning.

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Grade 7 Math Units

Unit Plan 32 (Grade 7 Math): Statistics & Probability Power-Up

7th graders synthesize statistics and probability skills through sampling, population comparisons, and compound events. They build models, run simulations, and communicate findings with precise units, clear evidence, and honest discussion of uncertainty and limitations.

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Grade 7 Math Units

Unit Plan 31 (Grade 7 Math): Geometry Power-Up—Scale, Angles, and Area/SA/Volume

7th graders integrate all geometry standards through scale drawings, triangles, cross-sections, circles, and 3D measurement. They create labeled diagrams, apply formulas for area, surface area, and volume, and verify reasonableness with correct units.

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Grade 7 Math Units

Unit Plan 30 (Grade 7 Math): Expressions & Equations Power-Up

7th graders strengthen algebra fluency by rewriting rational expressions, solving multistep equations and inequalities, and checking solutions for accuracy. They model real-world problems, apply structure, and communicate clear, unit-based conclusions.

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Grade 7 Math Units

Unit Plan 29 (Grade 7 Math): Constant of Proportionality—Graphs to Decisions

7th graders interpret and compare constants of proportionality (k) across tables, graphs, and equations. They identify proportional relationships, analyze unit rates, and use k to model real situations and justify data-driven recommendations.

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Grade 7 Math Units

Unit Plan 28 (Grade 7 Math): Percent Mastery—Tax, Tips, Markups, Discounts

7th graders master percent applications through discounts, markups, tax, and tips using proportions and equations. They estimate, apply multipliers, order multistep calculations, and communicate results clearly with money units and accurate rounding.

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Grade 7 Math Units

Unit Plan 27 (Grade 7 Math): Compound Events—Lists, Tables, and Simulation

7th graders model compound events using organized lists, tables, and tree diagrams. They compute probabilities, run simulations, and compare experimental results to theory, explaining discrepancies through independence, fairness, and sample size.

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Grade 7 Math Units

Unit Plan 26 (Grade 7 Math): Uniform and Empirical Probability Models

7th graders build and compare uniform and empirical probability models, predicting outcomes and analyzing discrepancies between theory and data. They justify model choice, discuss fairness, and explain variability using clear, data-driven reasoning.

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Grade 7 Math Units

Unit Plan 25 (Grade 7 Math): Probability—Chance in Context

7th graders explore probability as a measure from 0 to 1, connecting theoretical models to experimental results. They build sample spaces, run simulations, compare relative frequencies, and explain why long-run outcomes approach expected probabilities.

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Grade 7 Math Units

Unit Plan 24 (Grade 7 Math): Comparing Two Populations

7th graders compare two numerical data sets using mean, median, MAD, and IQR. They interpret dot and box plots, analyze center, spread, and overlap, and make cautious, data-driven inferences in real-world contexts.

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Grade 7 Math Units

Unit Plan 23 (Grade 7 Math): Sampling & Representative Data

7th graders explore random sampling to make informal inferences about populations. They compare random vs biased methods, generate repeated samples, analyze variability, and use sample proportions or means to estimate population characteristics.

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Grade 7 Math Units

Unit Plan 22 (Grade 7 Math): Volume—Prisms and Pyramids

7th graders explore volume through right prisms and right square pyramids, deriving V = B·h and V = ⅓B·h. They compare packing and stacking, reason with cubic units, convert measurements, and solve real-world modeling problems.

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Grade 7 Math Units

Unit Plan 21 (Grade 7 Math): Surface Area—Prisms and Pyramids

7th graders explore surface area through nets and formulas for right prisms and pyramids, applying SA = 2B + Ph and SA = B + ½Pl. They distinguish slant height from height, use precise units, and solve real-world material and coverage problems.

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Grade 7 Math Units

Unit Plan 20 (Grade 7 Math): Area of Circles & Composite Figures

7th graders derive and apply A = πr² to find areas of circles and composite shapes with circular parts. They decompose figures, use precise units, justify rounding, and solve real-world design and measurement problems.

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Grade 7 Math Units

Unit Plan 19 (Grade 7 Math): Circles—Radius, Diameter, Circumference

7th graders explore the proportional relationship between a circle’s diameter and circumference to derive C = πd and C = 2πr. Through measurement, modeling, and error analysis, they apply formulas accurately with clear unit reasoning.

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Grade 7 Math Units

Unit Plan 18 (Grade 7 Math): Midyear Synthesis—Rates, Equations, and Geometry

7th graders engage in integrated performance tasks combining proportions, equations, inequalities, and geometry. They select appropriate models, apply unit reasoning, validate results with estimates, and communicate precise, well-justified mathematical conclusions.

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Grade 7 Math Units

Unit Plan 17 (Grade 7 Math): Angle Relationships—Build and Solve

7th graders use complementary, supplementary, vertical, and adjacent angle relationships to write and solve equations. They justify each algebraic step, check solutions for reasonableness, and express precise angle measures with correct degree units.

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Grade 7 Math Units

Unit Plan 16 (Grade 7 Math): Slicing Solids—Cross-Sections

7th graders explore cross-sections of right rectangular prisms and pyramids by slicing with planes in different orientations. They predict, construct, and justify resulting 2D shapes—rectangles, parallelograms, triangles, or trapezoids—using precise geometric reasoning and vocabulary.

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Grade 7 Math Units

Unit Plan 15 (Grade 7 Math): Constructing Triangles & Conditions

7th graders construct triangles from given sides and angles using tools and reasoning. They apply the triangle inequality, analyze SSS, SAS, ASA, AAS, and SSA cases, and determine when conditions create one, multiple, or no possible triangles.

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Grade 7 Math Units

Unit Plan 14 (Grade 7 Math): Scale Drawings & Maps

7th graders apply proportional reasoning to interpret and create scale drawings. They compute real measurements, convert units, and explain why perimeter scales by k and area by k², producing accurate, labeled diagrams that demonstrate mathematical precision.

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Grade 7 Math Units

Unit Plan 13 (Grade 7 Math): Proportional Problem Solving—Rates to Equations

7th graders connect ratios to algebra by writing equations of the form y = kx. They find and label unit rates with correct units, interpret graphs and key points like (1, k), test for proportionality, and apply equations to real-world rate and scaling problems.

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Grade 7 Math Units

Unit Plan 12 (Grade 7 Math): Inequalities—Model, Solve, and Graph

7th graders write, solve, and graph one-variable inequalities to model real-world constraints. They interpret solution sets, use correct symbols and boundary checks, and explain inclusive vs. strict conditions with precise, unit-based reasoning.