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 collection of teacher-facing tools including scoring keys, result interpretation guides, and class-wide data tracking charts to help educators act on diagnostic findings.
A diagnostic assessment for 5th-grade students focusing on decimal operations, powers of 10, multi-digit division, and adding/subtracting fractions with unlike denominators.
A diagnostic assessment for 4th-grade students targeting multi-digit multiplication and division, place value to 1,000,000, fraction equivalence, and basic decimal notation.
A diagnostic assessment for 3rd-grade students covering rounding, multi-digit addition/subtraction, multiplication and division concepts, and introductory fraction understanding.
A diagnostic assessment for 2nd-grade students focusing on place value to 1,000, addition and subtraction within 100, and early foundations of multiplication through arrays.
A hands-on exploration of 3D shapes where students identify, describe, and sort solid figures by their physical attributes and real-world applications.
Students master number patterns and skip counting to build the Grand Staircase of the Pattern Palace, identifying rules and predicting future terms.
Students are introduced to the Pattern Palace and their roles as architects, learning the fundamental rules of repeating and growing patterns in both shapes and numbers.
A Tier 2 intervention lesson focusing on partitioning circles and rectangles into halves and fourths using an error-analysis approach to identify 'fair' vs. 'unfair' shares.
A Tier 2 intervention lesson focusing on partitioning shapes into halves and fourths using a fair-sharing context. Students explore how more shares result in smaller pieces through hands-on practice with manipulatives and real-world scenarios.
A Tier 2 targeted intervention lesson for 2nd grade students focused on partitioning circles and rectangles into halves, thirds, and fourths, emphasizing that equal shares can have different shapes.
A Tier 2 intervention lesson for 2nd grade students focused on partitioning circles and rectangles into equal shares (halves, thirds, fourths) using hands-on folding and cutting.
A targeted Tier 2 intervention lesson for Grade 2 students focusing on identifying and drawing shapes based on their attributes (sides, angles, faces). Students will act as 'Shape Lab' researchers to master triangles, quadrilaterals, pentagons, hexagons, and cubes.
A Tier 2 intervention lesson focused on identifying and describing 2D and 3D shapes by their attributes (sides, angles, and faces). This lesson uses hands-on exploration and games to reinforce geometric concepts for second-grade students needing additional support.
A Tier 2 intervention lesson focusing on partitioning shapes into halves, thirds, and fourths. Students use hands-on paper folding to explore equal shares and understand that equal shares of identical wholes can have different shapes.
A Tier 2 intervention lesson focused on identifying and drawing shapes based on their attributes (sides, angles, faces). Students use geoboards and hands-on exploration to master triangles, quadrilaterals, pentagons, hexagons, and cubes.
An investigative journey into the world of 2D shapes, focusing on identifying attributes and classifying quadrilaterals.
A K-2 lesson where students become 'Sorting Detectives' to discover hidden rules behind grouped objects, using inductive reasoning and attribute blocks.
Students will learn to partition circles and rectangles into two, three, or four equal shares. They will explore how identical wholes can be partitioned into equal shares with different shapes, specifically focusing on dividing squares into fourths in multiple ways.
A detective-themed lesson for 2nd graders to master distinguishing between equal and unequal parts in circles, squares, and rectangles. Students hunt for 'imposter' shapes that don't meet the criteria for thirds or fourths.
A lesson focused on 2nd-grade geometry and partitioning, where students use the pixel grid to understand halves, thirds, and fourths.
A visual-heavy lesson using a pixel-art theme to help 2nd grade students understand place value up to 100, expanded form, and the relationship between ones, tens, and hundreds using 100-grids.
A Tier 2 small group intervention focused on partitioning rectangles into rows and columns of equal-sized squares. Students move from concrete tile manipulation to representational grid drawing to finding totals.
A Tier 2 intervention lesson focused on partitioning rectangles into equal rows and columns. Students use physical tiles and drawing strategies to develop a conceptual understanding of arrays and area foundation.
A hands-on introductory lesson on equal shares and fractions using chocolate bars, pattern blocks, and interactive video modeling for 1st-3rd grade special education.
A lesson for 1st and 2nd graders to develop spatial reasoning skills by visualizing and drawing missing grid lines to fill rectangles with squares. Students explore the concept of area through a 'builder' theme, using video observation and hands-on drawing.
A 2nd-grade math lesson where students explore how different shapes can share the same area using square tiles and irregular composite shapes.
A hands-on geometry lesson where students distinguish between 2D 'flat' shapes and 3D 'solid' objects using the 'Shape Maker 17 1/2' as inspiration.
A creative geometry lesson for K-2 students where they explore non-geometric attributes like texture and pattern by creating 'Silly Shape Monsters' inspired by the Scratch Garden shapes video.
Students explore the properties of 3D figures by building skeleton models with toothpicks and marshmallows, investigating the relationship between faces, vertices, and edges (Euler's characteristic).
A 2nd-grade math lesson where students become 'Shape Detectives' to distinguish rectangles from other quadrilaterals using geometric properties and a physical 'right-angle test'.
A hands-on geometry lesson where 2nd grade students use geoboards to explore the properties of rectangles, specifically focusing on equal opposite sides and right angles.
A tactile geometry lesson where students identify 3D shapes by touch, using key vocabulary like faces, vertices (corners), and edges. Includes a video-based attribute review and a hands-on Mystery Box investigation.
Students will explore the 3D world by building and comparing cubes and cuboids (rectangular prisms). Through video analysis and hands-on marshmallow construction, they will discover that while these shapes share the same number of edges and corners, their faces reveal their unique identities.
Students become 'Shape Detectives' as they learn to describe and identify 3D solids based on their faces, edges, corners, and curved surfaces, culminating in the creation of a 'Wanted Poster' for a specific shape.
A hands-on geometry lesson for 2nd graders to identify and count faces, edges, and vertices of 3D shapes using marshmallows and toothpicks.
A 2nd-grade lesson focused on distinguishing between prisms and pyramids by exploring their faces and bases through video observation and hands-on face tracing.
Students learn to build and deconstruct composite figures using common geometric shapes. They will create original artwork and document their components using a shape key.
A PE and Math integration lesson where students use their bodies and a rope to kinesthetically explore the concepts of center, radius, and circumference.
A geometry lesson for 2nd-3rd graders focusing on identifying shapes through attributes like sides, angles, and parallel lines. Includes a mystery hook, interactive video viewing, and a creative riddle-writing activity.
The final project where students organize a 'Shape Museum' by categorizing artifacts and justifying their placement with labels.
Students use precise geometric vocabulary to write and solve riddles about shapes, focusing on vertices and side properties.
A logic-focused lesson using Venn diagrams and secret rules to categorize shapes based on specific geometric properties.
An introduction to the quadrilateral family, identifying squares, rectangles, rhombuses, and trapezoids as relatives with four sides.
Students distinguish between defining attributes (sides, corners, closure) and non-defining attributes (color, size, orientation) through a 'rule sorting' game.
Students examine polygons to identify and list their internal angle types, applying their vocabulary to solve geometric riddles.
The class explores straight angles as lines measuring two right angles combined, using physical models to show how opening an angle creates a line.
Students compare angles to the right-angle benchmark to categorize them as acute (smaller) or obtuse (larger) through visual estimation and sorting.
Learners use 'angle finders' to hunt for perfect square corners in their environment, establishing the right angle as a benchmark for comparison.
Students explore the building blocks of geometry by identifying rays, lines, and vertices, focusing on how a vertex forms the 'corner' of an angle.
A culminating project where students apply their knowledge to design a city map using specific required polygon types.
Exploring how simple shapes can be combined to form more complex figures through tangram-style activities.
Hands-on construction of shapes using geoboards and rubber bands to meet challenging geometric criteria.
Students transition from identification to creation by drawing 2D figures on graph paper based on specific attribute constraints.
Students practice deductive reasoning by solving geometric riddles based on side counts, corner types, and other attributes.
Students organize their knowledge into a hierarchy and create a final Quadrilateral Field Guide.
Students explore parallel sides (train tracks) to identify trapezoids and parallelograms.
Students collaborate to write and perform math-themed songs or mnemonics, using musical rhythm and rhyme to memorize complex procedures like simplifying fractions.
This lesson introduces spatial and temporal concepts through active guided practice, a cut-and-paste sequencing task, and a collaborative station game. Students will identify relative positions and order events chronologically.
A fun, amusement-park-themed lesson where 2nd-grade students identify and draw vertical lines of symmetry in basic shapes and objects using the 'Symmetry Land' video as a guide.
A 2nd-grade lesson on spatial awareness and descriptive language. Students learn to use precise location vocabulary through a synonym warm-up, a math-themed video, and a 'Dictation Drawing' partner activity where they must communicate spatial relationships effectively.
A 2nd-grade geometry lesson where students explore 3D solid shapes by analyzing their attributes like flat faces, curved surfaces, and edges using a 'Shape Lab' theme.
A hands-on geometry lesson designed for 1st and 2nd graders to debunk the 'diamond' misconception by investigating the geometric properties of squares through rotation and measurement.
A hands-on geometry lesson where students use block letters to explore and visualize clockwise and anticlockwise rotations (quarter, half, and three-quarter turns).
A fun, hands-on lesson where 2nd graders learn about rotations (clockwise and anticlockwise) using a video guide and interactive paper plate spinners.
Students will investigate 3D shapes (cube, rectangular prism, sphere, cone, cylinder) by identifying their faces, edges, and vertices, then sorting them based on movement and geometric attributes.
A hands-on geometry lesson where 2nd-grade students explore 3D shapes through the lens of grocery store packaging, focusing on prisms, cylinders, and functional design.
A hands-on geometry lesson where students become 'Shape Detectives' to identify 3D solid figures in their environment, supported by an instructional video and a classroom scavenger hunt.
A geometry lesson for 2nd graders focused on critiquing reasoning about shape attributes like sides, corners, and side lengths using a 'Shape Detective' theme. Students will analyze Cousin Fal's shape collection and participate in a movement-based 'True or False' activity to justify their geometric thinking.
Students investigate shapes with multiple lines of symmetry through hands-on folding, mirror use, and video analysis. They move from identifying single lines to discovering that some shapes, like circles and stars, have many.
Students will explore the concept of reflection and lines of symmetry through a hands-on paint blot art project, inspired by a video about "Symmetry Land." They will create "Rorschach Monsters," analyze their work for symmetrical properties, and write a creative story about their creation.
Students will learn that an angle is a measure of turn by watching a video demonstration with popsicle sticks and then hunting for real-world angles in their classroom.
A 2nd-grade geometry lesson introducing right angle notation using the square symbol. Students explore right angles through hand gestures, a video demonstration, and a shape-marking activity.
Students will learn to distinguish between vertical and horizontal lines of symmetry using alphabet letters through a video, discussion, and a hands-on 'cut and fold' sorting activity.
A creative, hands-on lesson for 2nd graders to master the concept of asymmetry through mirror games, video analysis, and 'Asymmetrical Monster' art projects.
A small group intervention lesson focused on identifying equal and unequal areas through hands-on playdough modeling, video analysis, and a tiered card sorting activity. Students learn to distinguish between halves, thirds, and fourths based on the equality of their parts.
A hands-on geometry project where 2nd-grade students apply perimeter concepts to design their own zoo layouts. Students will calculate the distance around animal habitats using grids and addition strategies.
A targeted Tier 2 intervention lesson focusing on partitioning rectangles into rows and columns. Students use unit squares to understand area through hands-on tile covering and repeated addition.
Students explore the concept of volume by counting unit cubes and understanding how layers stack to fill 3D spaces. This lesson transitions from single-layer counting to multi-layer calculations.
A 2nd-grade math lesson that transitions students from counting unit squares one-by-one to using repeated addition of rows to find the area of rectangles. Students use physical manipulatives and a Khan Academy video to bridge the gap between counting and early multiplication concepts.
An introductory lesson for 2nd graders to understand area through hands-on tiling and visual analysis of unit squares. Students explore covering surfaces and calculating area by counting tiles, including an introduction to half-units.
A 2nd-grade lesson on the conservation of area, demonstrating that rearranging a shape's parts does not change its total area using hands-on tile activities and visual comparisons.
An active, 2nd-grade introduction to perimeter where students walk the classroom boundaries, watch an instructional video, and use geo-boards and grid paper to calculate the perimeter of squares using repeated addition.
In this 2nd-grade math lesson, students explore the concept of perimeter through a racing-themed adventure. They use geoboards to design 'race tracks' with specific perimeters and reflect on how different shapes can share the same boundary length.
A 2nd-grade math and art lesson where students design robots on grid paper to practice and reinforce perimeter calculation skills. Includes interactive video segments and a 'Gallery Walk' for peer review.
Students become 'Perimeter Detectives' to explore the distance around shapes. This lesson includes a movement-based warm-up, an instructional video, a hands-on shape-adding activity, and a creative extension using pipe cleaners.
A hands-on introduction to area where 2nd-grade students define area as the space inside a shape and practice finding it by counting square units through a video and a creative mosaic project.
A project-based lesson where students design a city map using array-based buildings, labeling them with dimensions and totals.
Students transition to drawing, partitioning empty rectangles into grids of equal-sized squares to find the total units.
Students analyze arrays to write repeated addition equations by rows and columns, introducing the commutative property.
Using square tiles, students construct rectangles based on given dimensions, focusing on the rule of no gaps or overlaps.
Students identify rows (horizontal) and columns (vertical) in real-world contexts and practice using this vocabulary to describe arrangements.
Students display their designs and calculations. Peers conduct a 'gallery walk' to check the area counts of classmates' designs and appreciate the different arrangements.
