All Math Units

Unlock the complete collection of K–12 math units featuring engaging, standards-aligned lessons that build problem-solving, fluency, and real-world mathematical understanding.

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Grade 4 Math Units

Unit Plan 16 (Grade 4 Math): Angle Addition & Unknown Angles

Use angle additivity and benchmarks (90°/180°) to write equations that model diagrams, find unknown angles, and justify solutions with labeled degrees and clear reasoning.

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Grade 4 Math Units

Unit Plan 15 (Grade 4 Math): Measuring Angles—Protractors in Action

Measure and sketch angles in whole-number degrees using a protractor, connect angles to rotation, and use right/straight benchmarks to estimate and justify accuracy.

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Grade 4 Math Units

Unit Plan 14 (Grade 4 Math): Lines, Rays, Angles, and Parallel/Perpendicular

Draw and classify points, lines, segments, rays, and angles; identify right, acute, and obtuse angles; and mark parallel and perpendicular lines using clear labels and precise geometric notation.

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Grade 4 Math Units

Unit Plan 13 (Grade 4 Math): Patterns & Rules—Features Beyond the Rule

Generate and analyze number and shape patterns using one- and two-step rules; build input–output tables and describe hidden features such as odd/even, multiples, or alternating growth.

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Grade 4 Math Units

Unit Plan 12 (Grade 4 Math): Perimeter & Area—Rectangles in the Real World

Apply area and perimeter formulas for rectangles to solve real-world design and tiling problems, using models and correct units to justify solutions and check reasonableness.

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Grade 4 Math Units

Unit Plan 11 (Grade 4 Math): Measurement Word Problems—Units Matter

Solve multi-step measurement word problems—time, volume, mass, and money—using four operations, diagrams, tables, equations with unknowns, and estimation to ensure units and answers are reasonable.

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Grade 4 Math Units

Unit Plan 10 (Grade 4 Math): Measurement Within Systems—Conversion Tables

Convert larger to smaller units within a measurement system using conversion factors, two-column tables, and unit T-charts; solve real-world problems with precise units and reasonableness checks.

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Grade 4 Math Units

Unit Plan 9 (Grade 4 Math): Division Concepts—Quotients & Remainders

Divide up to 4-digit by 1-digit using area/array models and partial quotients; estimate to check reasonableness and interpret remainders based on context and units.

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Grade 4 Math Units

Unit Plan 8 (Grade 4 Math): Multi-Step Problems—Choose a Method

Solve multi-step word problems using addition, subtraction, and multiplication; write equations with unknowns, choose efficient strategies, and use estimation and units to check reasonableness.

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Grade 4 Math Units

Unit Plan 7 (Grade 4 Math): Multiplication Strategies—From Arrays to Algorithms

Multiply up to 4-digit by 1-digit and 2-digit by 2-digit using place-value strategies, area models, and partial products, then connect to the standard algorithm with estimation checks for reasonableness.

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Grade 4 Math Units

Unit Plan 6 (Grade 4 Math): Factors, Multiples, Prime/Composite

Find factor pairs and multiples for numbers 1–100, and determine whether each is prime or composite using arrays, factor rainbows, and divisibility reasoning.

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Grade 4 Math Units

Unit Plan 5 (Grade 4 Math): Multiplication as Comparison

Interpret multiplication as “times as many,” distinguish multiplicative from additive situations, and solve comparison word problems using tape diagrams, equations with unknowns, and clear reasoning.

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Grade 4 Math Units

Unit Plan 4 (Grade 4 Math): Add/Subtract Multi-Digit—Fluency & Strategy

Use models and the standard algorithm to add and subtract multi-digit numbers, explain regrouping with place-value reasoning, and verify answers with estimation and reasonableness checks.

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Grade 4 Math Units

Unit Plan 3 (Grade 4 Math): Compare & Round—Any Place

Compare multi-digit numbers and round to any place using place-value reasoning, number lines, benchmarks, and midpoints to make accurate, context-based math decisions.

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Grade 4 Math Units

Unit Plan 2 (Grade 4 Math): Place Value to Millions—Value & Structure

Read, write, and compare multi-digit numbers to the millions while explaining ten-times and one-tenth place-value relationships using charts, models, and precise vocabulary.

Grade 4 Math Units

Unit Plan 1 (Grade 4 Math): Building Our Math Community & Problem-Solving Norms

Build math community and place-value fluency in Grade 4 as students compare numbers, practice estimation, use notebooks, and analyze errors to strengthen problem-solving norms.

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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.