Grade 5 Units

A collection of 72 posts

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Grade 5 Math Units

Unit Plan 36 (Grade 5 Math): Cumulative Synthesis & Exhibition

5th graders integrate skills from all math domains to solve real-world, multi-step problems. They plan, model, compute, and defend reasoning with accurate units, precise language, and clear visual representations.

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Grade 5 Math Units

Unit Plan 35 (Grade 5 Math): Geometry Synthesis—Attributes to Hierarchies

5th graders classify and compare 2D figures by properties, build geometric hierarchies, and use coordinate geometry to verify lengths and angles. They defend classifications with precise definitions, evidence, and logical reasoning.

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Grade 5 Math Units

Unit Plan 34 (Grade 5 Math): Volume Design Project

5th graders apply volume formulas to design and compare rectangular prisms under real constraints. They compute, optimize, and justify choices using V = l × w × h and V = B × h, defending their designs with math, units, and reasoning.

Grade 5 Math Units

Unit Plan 33 (Grade 5 Math): Measurement Conversions Challenge

5th graders master unit conversions within a system using ratio tables and factor-label reasoning. They solve multi-step measurement problems, justify rounding choices by context, and verify accuracy with estimates and unit checks.

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Grade 5 Math Units

Unit Plan 32 (Grade 5 Math): Data Tell a Story—Line Plots Redux

5th graders collect and plot measurement data with fractional units on line plots, then use fraction addition, subtraction, and multiplication to solve real-world questions—emphasizing precision, reasoning, and clear data interpretation.

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Grade 5 Math Units

Unit Plan 31 (Grade 5 Math): Coordinate Modeling—Graphs that Tell Stories

5th graders model real-world situations by graphing points in the first quadrant. They interpret coordinates, choose sensible scales, and use graphs to compare, predict, and explain relationships with clarity and precision.

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Grade 5 Math Units

Unit Plan 30 (Grade 5 Math): Division Mastery—Whole and Decimal

5th graders master whole-number and decimal division through place-value reasoning, strategy choice, and remainder interpretation. They estimate, compute, and check for reasonableness while explaining how powers of ten preserve equivalence.

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Grade 5 Math Units

Unit Plan 29 (Grade 5 Math): Expressions & Order—From Words to Symbols

5th graders write and interpret numerical expressions using parentheses, brackets, and braces. They learn to reason about structure, compare expressions without computing, and communicate mathematical thinking clearly.

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Grade 5 Math Units

Unit Plan 28 (Grade 5 Math): Fractions & Decimals—Multi-Step Decisions

5th graders solve real-world problems using fractions and decimals, choosing the most efficient form for each task. They justify methods with models, estimate for reasonableness, and communicate reasoning clearly.

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Grade 5 Math Units

Unit Plan 27 (Grade 5 Math): Decimal & Whole-Number Operations Review

5th graders solve multi-step real-world problems using multiplication, division, and decimals. They plan with parentheses, estimate before computing, and check answers for reasonableness and precision.

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Grade 5 Math Units

Unit Plan 26 (Grade 5 Math): Measurement + Volume Integrated Tasks

5th graders solve real-world packing and filling problems by converting units and applying V = l × w × h or V = B × h. They choose when to convert, track units clearly, and justify answers with labeled volume and reasonableness checks.

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Grade 5 Math Units

Unit Plan 25 (Grade 5 Math): Shape Hierarchies—Quadrilaterals and Beyond

5th graders build hierarchies of 2D figures using definitions and properties—organizing shapes like squares, rectangles, and parallelograms to explain relationships, justify classifications, and reason with if–then logic.

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Grade 5 Math Units

Unit Plan 24 (Grade 5 Math): Classifying 2D Figures by Properties

5th graders classify 2D figures by properties like sides, angles, and parallel lines—using definitions, if–then reasoning, and hierarchy logic to prove and defend geometric classifications.

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Grade 5 Math Units

Unit Plan 23 (Grade 5 Math): Patterns & Relationships on the Grid

5th graders analyze numerical patterns, generate ordered pairs, and graph them on the coordinate plane—explaining each rule clearly in words and with matching numerical expressions.

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Grade 5 Math Units

Unit Plan 22 (Grade 5 Math): Coordinate Plane—Plotting in the First Quadrant

5th graders learn to plot and interpret points on a coordinate plane’s first quadrant, using axes, origin, and ordered pairs to represent and solve real-world position and data problems.

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Grade 5 Math Units

Unit Plan 21 (Grade 5 Math): Volume Problem Solving—Additive Volume

5th graders apply additive volume by decomposing composite right rectangular prisms into non-overlapping parts. Students calculate partial volumes using V = l × w × h or V = B × h, add them for total volume, and justify decompositions with labeled sketches, units, and reasonableness checks.

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Grade 5 Math Units

Unit Plan 20 (Grade 5 Math): Understanding Volume—Cubes to Formulas

5th graders explore volume conceptually by packing unit cubes into rectangular prisms, counting layers, and deriving the formulas V = l × w × h and V = B × h. Students connect visual models to formulas, label cubic units correctly, and explain why the volume formulas work in real-world contexts.

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Grade 5 Math Units

Unit Plan 19 (Grade 5 Math): Measurement Conversions Within a System

5th graders convert between like metric and customary units of length, mass, and volume while solving real-world, multi-step problems. Students use ratio tables and unit reasoning, justify factor choices, and check reasonableness through benchmarks and estimation.

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Grade 5 Math Units

Unit Plan 18 (Grade 5 Math): Line Plots with Fraction Measurements

5th graders create line plots with fractional scales (½, ¼, ⅛) to display measurement data. Students analyze the plots to solve problems using addition, subtraction, and multiplication of fractions while emphasizing units, accuracy, and reasonableness in real-world contexts.

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Grade 5 Math Units

Unit Plan 17 (Grade 5 Math): Fraction Division Applications & Reasonableness

5th graders interpret quotients and choose between fraction multiplication or division in real-world problems. Students model, label, and justify solutions using units, benchmarks, scaling, and inverse reasoning to ensure accuracy and conceptual understanding.

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Grade 5 Math Units

Unit Plan 16 (Grade 5 Math): Dividing Unit Fractions and Whole Numbers

5th graders divide unit fractions by whole numbers and whole numbers by unit fractions using models like tape diagrams, number lines, and counters. Students interpret quotients in real-world contexts, explain why results make sense, and justify reasoning with units and structure.

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Grade 5 Math Units

Unit Plan 15 (Grade 5 Math): Fraction Multiplication in the Real World

5th graders apply fraction multiplication to real-world problems, using models like tape diagrams, arrays, and number lines. Students write matching equations, label units, and justify answers with benchmarks, scaling logic, and clear reasoning.

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Grade 5 Math Units

Unit Plan 14 (Grade 5 Math): Scaling with Fractions

5th graders interpret multiplication as scaling—understanding how factors less than, equal to, or greater than 1 shrink, keep, or enlarge a quantity. Students predict and compare product sizes using benchmarks, unit fractions, and reasoning without computation.

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Grade 5 Math Units

Unit Plan 13 (Grade 5 Math): Multiplying Fractions—Models and Meaning

5th graders multiply fractions by whole numbers and by other fractions using models like equal groups, arrays, and number lines. Students connect visuals to the rule of multiplying numerators and denominators, reason about product size, and justify results with clear explanations.

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Grade 5 Math Units

Unit Plan 12 (Grade 5 Math): Fractions as Division

5th graders interpret fractions as division by modeling a ÷ b with equal-sharing and measurement contexts. Students use tape diagrams, number lines, and area models to show how whole-number division creates fractions or mixed numbers, explaining units and remainder meaning clearly.