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.
Friday's morning work for Month 4, Week 1, focusing on weekly progress celebration and mixed math review.
Thursday's morning work for Month 4, Week 1, focusing on self-kindness, area word problems, and division with 12s.
Wednesday's morning work for Month 4, Week 1, focusing on mid-week goal setting, 2-step addition/subtraction word problems, and area of rectangles.
Tuesday's morning work for Month 4, Week 1, focusing on gratitude for personal strengths, area of squares, and review 12s.
Monday's morning work for Month 4, Week 1, focusing on weekend mood check-in, 3-digit review, and intro to area.
Friday's morning lab for Month 3, Week 4, focusing on monthly celebration and final mixed math review.
Thursday's morning work for Month 3, Week 4, focusing on empathy and multiplication review.
Wednesday's morning work for Month 3, Week 4, focusing on mistake resilience and equivalent fractions review.
Tuesday's morning work for Month 3, Week 4, focusing on nature gratitude and perimeter missing sides.
Monday's morning work for Month 3, Week 4, focusing on weekend highlights, fractions review, and 12s multiplication.
Friday's morning lab for Month 3, Week 3, focusing on weekly resilience and mixed math review.
Thursday's morning work for Month 3, Week 3, focusing on kindness in action and perimeter word problems.
Wednesday's morning work for Month 3, Week 3, focusing on growth mindset feedback and perimeter irregular shapes.
Tuesday's morning work for Month 3, Week 3, focusing on gratitude for school environment and perimeter review.
Monday's morning work for Month 3, Week 3, focusing on weekend highlights, equivalent fractions, and 12s multiplication.
A skill-building lesson where students learn to construct symmetrical halves and demonstrate their mastery through a final assessment of symmetrical and asymmetrical objects.
An introductory lesson focused on identifying lines of symmetry in 2D shapes and nature, featuring a high-energy warm-up and hands-on identification practice.
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 comprehensive multi-year analysis of Grade 4 MCAS English Language Arts data from 2023-2025. It identifies strengths in literal comprehension and character analysis, while highlighting persistent weaknesses in written expression and figurative language.
A high-level synthesis of multi-grade MCAS performance data (2023-2025) for school administration and leadership. It highlights longitudinal trends, systemic curriculum gaps in Fractions, and strategic resource allocation recommendations.
A multi-year performance analysis of Grade 3 MCAS Mathematics data from 2023-2025. It identifies strong procedural fluency in multiplication/division and significant conceptual hurdles in Fractions and Geometry.
An in-depth analysis of Grade 4 MCAS Mathematics data from 2023-2025, highlighting categorical strengths in Base Ten and persistent weaknesses in Fractions and Multi-step Word Problems.
A concluding lesson for review, real-world application of all fraction concepts, and a summative assessment to measure growth.
A hands-on introduction to equivalent fractions using visual models and number lines to see how different fractions can represent the same amount.
An exploration of unit fractions, emphasizing that as the denominator increases, the size of the fractional part decreases.
Focuses on representing fractions on a number line, treating the interval from 0 to 1 as the whole and identifying fractional points.
An introductory lesson focused on identifying student gaps via diagnostic and teaching the core concept of equal parts and partitioning shapes into halves, thirds, and fourths.
A targeted Tier 2 intervention for 3rd graders to master quadrilateral hierarchies, including identifying subcategories (squares, rectangles, rhombuses) and drawing non-standard examples. This lesson uses concrete geoboard practice and manipulative-based sorting to build conceptual understanding.
Equivalent fractions on the number line. Students learn that fractions at the same location represent the same number.
Students generate equivalent fractions by subdividing or grouping parts in area models, discovering patterns in numerators and denominators.
Introduction to equivalence through area models. Students identify fractions that represent the same amount of a whole shape.
Given a non-unit fraction on a number line, students use the numerator and denominator to locate the '1' whole marker.
Students locate non-unit fractions by counting unit-sized jumps from zero. They identify fractions less than, equal to, and greater than 1.
Expanding the number line to include numbers greater than 1. Students learn to partition each whole interval into unit fractions.
A 35-minute introductory lesson on solving area word problems using context clues and keywords. Students take on the role of 'Area Detectives' to identify when a problem is asking for area and how to calculate it using the length times width formula.
A 35-minute lesson focused on decomposing rectilinear shapes into rectangles to find total area using the distributive property, themed around architectural blueprints.
Wednesday's morning work for Month 4, Week 2, focusing on mid-week resilience and area of complex shapes.
Tuesday's morning work for Month 4, Week 2, focusing on gratitude for school staff and 2-step multiplication/addition word problems.
Monday's morning work for Month 4, Week 2, focusing on weekend highlights and breaking apart area.
A lesson focused on calculating the area of composite rectilinear shapes by first determining a missing side length using the properties of rectangles.
A comprehensive assessment framework for tracking student growth across key third and fourth-grade mathematical standards, including word problems, multiplication, geometry, and place value.
A comprehensive 3rd-grade math review focused on unit 5 fractions, including partitioning shapes, identifying equivalent fractions, and representing fractions on number lines. Students will engage with visual models and real-world scenarios to solidify their understanding of 3.NF and 3.G standards.
A Tier 2 small group intervention focused on identifying shared attributes of shapes to define larger categories, specifically quadrilaterals. Students use tangrams and geometric solids to explore properties through scaffolded 'Always/Sometimes/Never' activities.
A Tier 2 intervention lesson focusing on partitioning shapes into equal-area parts and identifying unit fractions using grids and pattern blocks. Students will move from concrete manipulatives to representational grid-drawing to abstract fraction naming.
Students partition the interval between 0 and 1 on a number line to locate unit fractions. This lesson focuses on the precision of the endpoint.
Transitioning from area models to linear models. Students compare number lines representing whole numbers (0-10) with those representing fractions (0-1).
A conceptual reversal lesson where students are given a part and must reconstruct the entire whole. This reinforces the understanding of the denominator as the 'total parts'.
Introduction to unit fraction notation (1/b). Students learn that the denominator tells the total number of equal parts and the numerator describes one part.
Students expand their partitioning skills to include sixths and eighths, using strategies like doubling halves or thirds. They learn the vocabulary for these smaller equal parts.
Students define partitioning as splitting a shape into equal parts and practice creating halves, thirds, and fourths. The lesson emphasizes that parts must be equal in size to be named as fractions.
A comprehensive introduction to reflection and symmetry, focusing on identifying lines of symmetry, performing reflections on a grid, and recognizing symmetry in nature and design.
A comprehensive geometry lesson that explores 2D and 3D shapes and angles through a space exploration lens, designed for 3rd and 5th-grade students. Students will navigate the 'Geometry Galaxy' to identify, classify, and build geometric figures using spatial reasoning.
A comprehensive geometry lesson exploring 2D and 3D shapes, properties, and angles through a space-themed mission. Students engage in classification, modeling, and spatial reasoning to master geometric concepts.
Students explore 2D and 3D geometric concepts through physical movement and hands-on modeling. They will identify shape properties, symmetry, and angles by transforming their bodies and building physical structures.
A comprehensive lesson focused on finding the perimeter of regular and irregular polygons, including real-world applications and solving for missing side lengths.
An investigative journey into the world of 2D shapes, focusing on identifying attributes and classifying quadrilaterals.
A 3rd-grade geometry lesson where students identify and classify six types of quadrilaterals based on their attributes (sides, angles, and parallelism) using a video, hands-on sorting activity, and guided discussion.
Students explore how quadrilaterals transform through physical manipulation, specifically investigating the relationship between rectangles and parallelograms, and squares and rhombuses. Using pipe cleaner models and a "push" metaphor, they observe which geometric properties remain constant and which change during a shift.
A detective-themed lesson where 3rd-grade students investigate triangles using a paper-corner 'right angle tool' to classify them as right, acute, or obtuse. The lesson integrates a short video and kinesthetic warm-ups to reinforce angle identification.
A collaborative art lesson where students classify, create, and assemble various triangle types into a giant classroom mural. Students explore angle-based and side-based classifications through video and hands-on geometry.
A geometry lesson for 3rd-5th graders focusing on Greek numerical prefixes and polygons through a 'Geometry Detectives' theme. Students will analyze prefixes, watch a demonstration video, and create 'Wanted' posters for various polygons.
Students explore the properties of rectangles through video analysis and creative art, focusing on geometric notation for parallel lines, equal sides, and right angles.
A hands-on geometry lesson where students act as zoo architects, using perimeter calculations to design enclosures for lions, giraffes, and monkeys. The lesson transitions from a video review of calculation methods to a creative design project on grid paper.
A 3rd-grade geometry lesson where students become 'Triangle Detectives' to classify triangles by their side lengths (Equilateral, Isosceles, and Scalene) using measurement and visual evidence like hash marks.
Students will learn to identify and describe triangles (Equilateral, Isosceles, Right-angled) using geometric notation like hash marks and angle arcs through a silent video viewing and a 'Who Am I?' movement game.
A lesson focused on identifying and calculating missing side lengths in complex rectilinear figures. Students use the logic of parallel sides to find unknown values without solving for total area.
A refresher lesson on finding the area of complex rectilinear figures by partitioning them into non-overlapping rectangles. Focuses on the 'Split, Multiply, Add' strategy with all side lengths clearly labeled.
Advanced real-world architectural challenges requiring students to calculate missing side lengths before decomposing complex multi-room blueprints.
Applying decomposition strategies to real-world garden and patio designs, focusing on interpreting word problems and labeled floor plans.
Introduction of the 'Horizontal Slice' and the 'Ghost Rectangle' (subtraction) strategies, with increased shape complexity including T-shapes and U-shapes.
Introduction to the 'Blueprint Builders' theme, vocabulary review of area and rectilinear figures, and mastering the 'Vertical Snip' strategy for simple L-shaped figures.
A collection of standards mastery tracking cards for Grade 3 Arizona students, covering Math and ELA with a consistent multi-attempt tracking system.
A Tier 2 intervention lesson focusing on the definition of a unit square and square units. Students build and identify unit squares using various scales (cm vs. inches) to understand area as a measurement of surface.
A comprehensive 12-hour math project where 4th-grade students design their own theme park, applying operations, place value, fractions, and decimals to create a complete business plan and physical model.
A series of five detective-themed investigations designed to help students master the identification of acute, right, and obtuse angles. Each worksheet builds confidence through simple classification and drawing exercises.
A hands-on geometry lesson where students apply area and perimeter concepts to design a functional and beautiful garden. Students calculate space for plants and fencing for various rectangular and composite garden beds.
A Tier 2 intervention lesson for 3rd grade students focused on understanding perimeter, finding unknown side lengths, and exploring the relationship between perimeter and area. Includes hands-on building activities and a walking perimeter challenge.
