Geometric classification, measurement of area and volume, and the study of transformations and rigid motions. Builds toward complex proofs, trigonometry for general triangles, and the algebraic representation of conic sections.
A comprehensive diagnostic suite for grades 2-5 designed to identify specific skill gaps in foundational math domains aligned to the Iowa Core standards. This series helps educators pinpoint exactly where students have discrepancies in place value, arithmetic, and early rational numbers.
A four-day intensive unit on decomposing rectilinear figures to find total area, progressing from basic strategies to complex real-world architectural challenges. Students act as 'Blueprint Builders' to master vertical cuts, horizontal cuts, and additive/subtractive methods.
A math sequence for 5th graders focused on identifying and classifying 3D figures in the real world by analyzing their properties such as faces, edges, and vertices.
This inquiry-driven sequence guides 5th-grade students through the logical hierarchy of two-dimensional figures, focusing on triangles and quadrilaterals. Students investigate properties, construct Venn diagrams, and defend geometric definitions through argumentation and debate.
A mastery-based sequence focusing on the logical hierarchy of geometric shapes, addressing complex classifications and property-based definitions through Venn diagrams and logic puzzles.
A game-based sequence focused on rapid identification and logical deduction using polygon properties through bingo, riddles, and simulations. Students build fluency in identifying shapes and distinguishing between subtle differences.
This mastery-based sequence focuses on precise mathematical communication and reasoning. Students engage in discussions and logic exercises to refine their definitions of shapes, moving beyond basic naming to attribute-based definitions and hierarchical relationships.
This sequence explores the fundamental building blocks of geometry—points, lines, rays, and angles—and how they combine to form polygons. Students will progress from identifying these elements in isolation to synthesizing them into complex shapes, using formal mathematical terminology to describe and decompose geometric figures.
A 5-lesson geometry sequence where students investigate and classify quadrilaterals based on their attributes, moving from general polygons to specific hierarchical relationships like squares, rectangles, and rhombuses.
A 5th-grade geometry sequence focusing on the hierarchical classification of 2D figures through game-based learning and deductive reasoning. Students progress from attribute-based questioning to complex logic puzzles and coordinate-plane shape building.
A project-based unit where students act as architects to master the classification of 2D figures through real-world observation, design constraints, and structural analysis.
A comprehensive 5th-grade geometry unit focusing on the classification of 2D figures through their attributes, including triangles, quadrilaterals, and the use of Venn diagrams for hierarchical classification.
This sequence explores the relationship between 2D shapes and 3D solids through hands-on construction, analysis of attributes, and cross-sectional investigations. Students apply their knowledge in a culminating engineering challenge to build stable structures using geometric properties.
A workshop-style sequence that develops spatial reasoning through the exploration of line symmetry. Students move from physical manipulation to abstract identification, concluding with the creation of symmetrical designs.
This 5th-grade geometry sequence explores symmetry and spatial reasoning through art and movement. Students progress from concrete manipulation with mirrors and paper folding to abstract visualization of rotational symmetry and tessellations, culminating in a complex symmetrical art project inspired by cultural patterns.
A 5th-grade geometry unit where students act as "Geometric Explorers," moving from basic shape recognition to rigorous classification of polygons based on sides, angles, and properties using Venn diagrams and taxonomies.
This inquiry-based sequence focuses on algebraic thinking by exploring numerical patterns and functional relationships. Students progress from simple repeating and growing patterns to identifying explicit rules and using them to predict future terms.
Cette unité de 3 séances guide les élèves de CE2 à la découverte des quadrilatères, explorant leurs propriétés par le jeu, le dessin et la classification. Les élèves développent leur vocabulaire géométrique et leur raisonnement spatial pour devenir experts en formes à quatre côtés.
A comprehensive workshop-style sequence for 5th graders to master angle classification, precision measurement with protractors, and geometric construction. Students progress from visual benchmarks to technical drafting skills.
A gamified geometry unit where 3rd grade students become 'Shape Sleuths' to master the classification of 2D figures through strategic play and deductive reasoning. Students progress from attribute identification to complex spatial composition and hierarchical classification.
A 5th-grade geometry sequence exploring the properties of angles, lines, and two-dimensional figures. Students develop deductive reasoning skills to classify triangles and quadrilaterals into hierarchical systems.
A deep dive into the hierarchical relationships of quadrilaterals, moving from general categories like parallelograms to the specific properties of squares. Students use deductive reasoning and visual mapping to understand how figures can belong to multiple categories simultaneously.
A deep dive into the properties of triangles, focusing on precision measurement and a dual-classification system based on sides and angles. Students use tools to gather data and discover the Triangle Angle Sum Theorem.
A 5th-grade geometry sequence that integrates coordinate plane mastery with polygon construction, distance analysis, and basic transformations through a game-based and project-oriented approach.
A 5th-grade geometry sequence focusing on classifying quadrilaterals through their attributes. Students move from basic geometric components to understanding hierarchical relationships using Venn diagrams and mathematical arguments.
A 5th-grade geometry sequence exploring volume and surface area through the lens of packaging engineering. Students investigate optimization, real-world constraints, and design prototypes.
A deep dive into geometric transformations, starting with the foundational concepts of symmetry and reflection through hands-on exploration and visual practice.
A comprehensive unit on lines of symmetry, exploring identification, drawing, and real-world applications through geometric and organic forms. Students will develop a deep understanding of balance and reflection.
A foundational math sequence for special education students (grades 5-6) focusing on algebraic thinking and spatial reasoning through highly visual, themed units.
A 6-lesson Tier 2 intervention designed to help students master the relationship between numerical patterns, converting them into ordered pairs, and graphing them on a coordinate plane using a cartography and exploration theme.
A comprehensive geometry unit focused on rigid transformations: translations, reflections, and rotations. Students explore how shapes move across the coordinate plane while maintaining their size and shape.
A 5th-grade geometry sequence exploring line and rotational symmetry, spatial patterns, and tessellations through the lens of a drafting studio. Students analyze symmetry in nature, art, and design while developing precision in geometric transformations.
A 5th-grade math sequence focusing on calculating the area of rectangles with fractional and decimal side lengths. Students progress from visual tiling to formal multiplication, distinguish area from perimeter, and apply their skills in a floor plan design project and a final garden-themed assessment.
Students explore geometric constructions focusing on parallel and perpendicular relationships using tools and folding techniques, culminating in a city grid design project.
A Tier 2 intervention sequence for 5th-grade students focusing on solving complex volume problems. Students act as 'Volume Architects,' using blueprints and unit cubes to master multiplication formulas and the additive property of volume for composite figures.
A comprehensive 12-lesson Tier 2 intervention sequence for 5th-grade students focusing on 5.NF.B standards (Multiplication and Division of Fractions). This sequence utilizes All Learners Network High Leverage Concepts and Illustrative Mathematics instructional routines to build conceptual understanding through visual models and explicit instruction.
This workshop-style sequence transitions students from visual estimation to precise measurement using a protractor. Students learn the logic behind the 360-degree circle and how to align a protractor correctly to read measurements.
A hands-on geometry sequence where students explore the building blocks of angles, identify right angles in their environment, and classify angles as acute, obtuse, or straight through inquiry and shape analysis.
A 5th-grade geometry sequence exploring the additive nature of angles, straight angles, complementary relationships, and solving for unknown angles through logic and deduction. Students move from concrete measurement to abstract calculation in a mystery-solving context.
This sequence focuses on the fundamental proficiency of using geometric tools to measure and construct angles with high precision. Students learn protractor mechanics, estimation techniques, construction procedures, and error analysis through an engineering and drafting lens.
A 5th-grade math sequence focused on volume formulas through the lens of packaging engineering. Students analyze real-world efficiency, optimize dimensions, design nets for prototypes, and solve complex 'volume within a volume' shipping problems.
A comprehensive 5th-grade geometry unit focused on calculating the volume of composite rectangular prisms through decomposition and subtraction. Students transition from hands-on manipulation to interpreting complex blueprints and designing their own architectural structures.
A 5th-grade math sequence that moves students from concrete visualization of unit cubes to the abstract application of volume formulas. Students explore volume as space-filling, derive the formula through layering, and solve complex problems involving rectangular prisms.
A 5th-grade geometry sequence that introduces volume conceptually through the use of unit cubes, progressing from physical packing to visualizing layers and discovering the volume formula.
This sequence introduces the concept of area as an attribute of plane figures, distinguishing it from linear measurement. Students progress from tiling shapes with unit squares to discovering the relationship between side lengths and multiplication.
A project-based unit where 5th-grade students transition from 2D shapes to 3D figures, acting as packaging engineers to explore volume, structural properties, and the volume formula.
This sequence teaches 5th-grade students to find the volume of composite 3D shapes by decomposing them into rectangular prisms. Students explore additive and subtractive strategies through hands-on building, mathematical calculations, and a final design project.
This sequence introduces the concept of volume as the amount of space a three-dimensional object occupies. Students progress from counting unit cubes to visualizing layers and finally deriving and applying the volume formula $V = l \times w \times h$ to real-world objects.
This sequence moves 5th-grade students from whole-number unit cubes to advanced calculation of rectangular prisms using formulas, algebraic thinking for missing dimensions, and proportional reasoning. Students explore how changing dimensions affects volume and apply their knowledge to complex real-world word problems.
A project-based exploration of angles in engineering, architecture, and sports for 5th-grade students. Students identify, measure, and apply angle concepts to design a safe and functional playground.
A Tier 2 intervention unit focused on the hierarchical classification of two-dimensional figures, helping students understand that subcategories inherit the attributes of their parent categories.
A game-based introduction to coordinate geometry where students learn to navigate grids, plot points, and transform shapes within a space exploration theme. Students transition from basic location-finding to complex mapping and translations.
A 5th-grade geometry sequence exploring the hierarchical relationships between quadrilaterals through logic, debate, and investigation. Students dismantle misconceptions and learn how shapes can belong to multiple categories simultaneously.
Students act as junior architects to apply geometric concepts (lines, angles, and shapes) to real-world architecture and urban planning. The sequence moves from observing existing structures to designing city maps and building facades, culminating in a geometric portfolio presentation.
A specialized Tier 3 intervention sequence for 8th-grade students performing at a 5th-grade level, focusing on bridging foundational arithmetic to high school algebra concepts. This sequence uses concrete-representational-abstract (CRA) methods to explore area modeling, systems of equations, exponential patterns, and inequalities.
A Grade 5 intervention sequence focused on mastering the first quadrant of the coordinate plane through real-world contexts like hiking and plant growth. Students learn to plot points and interpret their meaning in specific mathematical and physical situations.
A Tier 2 intervention unit focused on numerical patterns, relationships, and coordinate graphing for 5th grade students. Students use linking cubes and color-coded sequences to bridge the gap between concrete patterns and abstract graphing.
A 2-lesson intervention sequence focused on mastering the first quadrant of the coordinate plane through hands-on exploration and pattern-based plotting. Students develop a strong foundation in the 'over, then up' protocol to bridge the gap between basic graphing and algebraic patterns.
A 4-lesson intervention sequence focused on the fundamentals of the coordinate plane, specifically the first quadrant. Students progress from identifying axes to plotting patterns from numerical rules using a consistent 'Run then Jump' protocol.
A comprehensive 5th-grade math sequence exploring numerical patterns, the rules governing them, and their visual representation on coordinate planes. Students advance from identifying simple rules to comparing two related patterns and graphing functional relationships.
A 5th-grade math sequence exploring numerical patterns through the lens of multi-digit multiplication, long division, and coordinate graphing. Students act as code breakers and data analysts to solve real-world scenarios.
This sequence connects abstract decimal fractions to tangible measurement and data analysis. Students act as scientists and analysts using metric tools, financial data, and sports timing to understand the necessity of precise decimal notation.
A 5th-grade math sequence exploring the creation, comparison, and graphing of numerical patterns. Students progress from simple rules to visualizing linear growth on a coordinate plane, transforming arithmetic into algebraic thinking.
An inquiry-based unit where students investigate numerical patterns, generate sequences from rules, and represent these relationships on the coordinate plane. They will learn to compare patterns and analyze how different operations affect visual trends.
A 5th-grade math sequence that bridges the gap between simple arithmetic rules and coordinate graphing, teaching students to generate, compare, and visualize numerical relationships.
A comprehensive sequence for 5th-grade students focusing on identifying, generating, and graphing numerical patterns using the four operations. Students progress from simple additive rules to multi-step expressions and coordinate plane visualization.
A comprehensive 12-lesson intervention sequence focused on geometric measurement and volume (5.MD.C). Designed for Tier 2 small groups, it utilizes All Learners Network (ALN) High Leverage Concepts and Illustrative Mathematics (IM) instructional routines to build conceptual understanding from unit cubes to complex additive volume.
This sequence connects geometry to physical space by exploring volume and the attributes of solid figures. Students progress from packing unit cubes to deriving and applying the standard volume formulas (V = l x w x h and V = B x h) to real-world engineering challenges.
An inquiry-based exploration of curved geometric figures for 5th graders, using hands-on discovery, water displacement, and granular materials to understand volume and capacity relationships.
A 5th-grade geometry sequence focusing on applying volume formulas, finding missing dimensions, and solving real-world problems. Students transition from basic volume calculation to algebraic thinking by working backward from known volumes to find unknown heights or base areas.
This workshop-style sequence transitions students from counting cubes to applying standard algorithms for calculating volume. Students derive and master the formulas V = l × w × h and V = B × h, progressing from straightforward calculations to solving for missing dimensions and complex real-world word problems.
Students transition from concrete unit cube packing to abstract volume formulas (V=lwh, V=Bh) with a specific focus on rectangular prisms with fractional edge lengths. The sequence culminates in real-world application through shipping logistics and a design challenge.
A 5-lesson sequence for 5th Grade students focusing on the conceptual development of volume using unit cubes, specifically designed for academic support. Students progress from physical building and counting to discovering the multiplicative formula and applying it to composite shapes and real-world design challenges.
A project-based exploration of additive volume where students act as spatial architects to decompose complex 3D structures and design their own volume-constrained modules.
An enrichment sequence for 5th graders to explore the volume of curved 3D shapes (cylinders, cones, and spheres) through hands-on inquiry, displacement, and relational thinking. Students bridge the gap between prism formulas and the unique properties of curved solids.
