Grade 7 Units

A collection of 108 posts

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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.

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Grade 7 Math Units

Unit Plan 11 (Grade 7 Math): Equations—Solve and Explain

7th graders master solving multistep equations with rational numbers by applying properties, distributing, and combining like terms. They justify each step, check with substitution and estimation, and interpret solutions clearly within real-world contexts.

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Grade 7 Math Units

Unit Plan 10 (Grade 7 Math): Expressions Workout—Properties & Structure

Grade 7 unit: Build fluency with linear expressions—combine like terms, use the distributive property with rational coefficients, and rewrite forms to reveal real-world meaning.

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Grade 7 Math Units

Unit Plan 9 (Grade 7 Math): Rational Number Problem Solving

7th graders apply all four operations with rational numbers to solve multistep real-world problems. They plan, estimate, and compute using fractions or decimals, track units and signs, and verify results with error checks and clear, context-based conclusions.

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Grade 7 Math Units

Unit Plan 8 (Grade 7 Math): Multiply & Divide Rational Numbers

7th graders gain fluency with multiplying and dividing signed fractions and decimals through sign rules, reciprocals, and real-world applications. They convert fractions to decimals, identify repeating or terminating forms, and check results for magnitude, sign, and reasonableness.

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Grade 7 Math Units

Unit Plan 7 (Grade 7 Math): Integer Operations—Adding and Subtracting Rational Numbers

7th graders build fluency with adding and subtracting signed numbers using number lines, additive inverse rules, and real-world contexts like elevation and money changes. They connect direction, distance, and sign to explain and justify results with clarity and precision.

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Grade 7 Math Units

Unit Plan 6 (Grade 7 Math): Percent Change & Multistep Problems

7th graders extend percent understanding to increases, decreases, commissions, and simple interest. They compare strategies—proportions, equations, and multipliers (1 ± r)—to solve multistep percent problems, justify method choices, and check results for accuracy and reasonableness.

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Grade 7 Math Units

Unit Plan 5 (Grade 7 Math): Percent Sense—Part, Whole, Percent

7th graders master percent reasoning by solving real-world problems involving discounts, markups, tips, and tax. They use proportions, equations, and benchmark percents for quick estimates, accuracy checks, and clear communication of multistep calculations.

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Grade 7 Math Units

Unit Plan 4 (Grade 7 Math): Writing and Using y = kx

7th graders represent proportional relationships using y = kx, interpret key points (0,0) and (1,k) as the origin and unit rate, and solve for missing values with correct units. They connect equations, tables, and graphs to model real-world proportional situations precisely.

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Grade 7 Math Units

Unit Plan 3 (Grade 7 Math): Proportional Relationships—Tables, Graphs, and k

7th graders learn to identify proportional relationships, compute and interpret the constant of proportionality (k) from tables and graphs, and represent them using y = kx. They connect multiple representations to explain meaning, units, and real-world applications with precision.

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Grade 7 Math Units

Unit Plan 2 (Grade 7 Math): Ratios to Unit Rates

7th graders master ratio reasoning by converting real-world comparisons into precise unit rates, including complex fractions and mixed units. They connect tables, double number lines, and y = kx equations to understand proportional relationships with accuracy and clarity.

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Grade 7 Math Units

Unit Plan 1 (Grade 7 Math): Building Our Math Community & Problem-Solving Norms

7th graders build a strong math culture through discourse routines, self-checking, and error analysis. Engaging ratio, rate, and integer tasks strengthen number sense while fostering precision, collaboration, and confidence in mathematical communication.

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Grade 7 ELA Units

Unit Plan 36 (Grade 7 ELA): Publishing Celebration & Reflection

Grade 7 ELA unit: students polish writing portfolios, refine language for effect, and deliver formal author talks. They revise diction and sentence rhythm for impact, use technology to publish, and present their growth and craft to an authentic audience.

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Grade 7 ELA Units

Unit Plan 35 (Grade 7 ELA): Author Study – Style and Craft

Grade 7 ELA unit: students compare an author’s craft across works and contrast fiction with historical accounts. They identify stylistic fingerprints, write short imitations using those moves, and deliver formal presentations explaining the author’s creative choices.

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Grade 7 ELA Units

Unit Plan 34 (Grade 7 ELA): Revising & Editing for Clarity

Grade 7 ELA unit: students strengthen grammar, punctuation, and style through revision. They refine phrases and clauses for clarity, fix commas and capitalization, and improve cohesion using precise language and transitions for polished, professional writing.