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 high-energy, medical-themed 50-minute review of proportional relationships, equations, and geometry for middle school students, featuring error analysis and state-test style practice.
A comprehensive answer key for teachers to quickly verify student work from all four mission days.
The final day features a creative mission report and a detailed Mission Possible coloring page.
Day three challenges agents with algebraic equations and geometry-based laser grid puzzles.
Day two focuses on ratios, proportions, and word games to keep agents' minds sharp.
The first day of the cooldown series focusing on logic puzzles and ELA context clues within a secret agent theme.
Students explore complementary, supplementary, and vertical angle relationships, and discover the triangle angle sum property through hands-on measurement and equation solving.
A focused lesson on calculating the area of a rectangle using fractional dimensions, emphasizing the requirement for step-by-step evidence in mathematical reasoning.
Focuses on the relationships within circles, specifically calculating area and circumference given radius or diameter.
Reviews multi-step percent problems including tax, tip, commission, discounts, and percent increase/decrease.
Explores identifying and representing proportional relationships through tables, graphs, and equations, including finding the constant of proportionality.
Covers simplifying linear expressions using distributive property and combining like terms, and solving multi-step equations involving rational numbers.
Focuses on masterly operations with rational numbers (fractions, decimals, integers) and calculating complex unit rates from real-world scenarios.
A high-energy lesson focused on mastering the NYS Grade 7 Math reference sheet through rapid recall and repeated practice. Students transition from studying the official tool to performing a 'brain dump' to build long-term memory for high-stakes testing.
A comprehensive review session for the NYS 7th Grade Math Interim Assessment 3, focusing on rational numbers, proportional relationships, expressions, equations, and percents. The lesson uses a 'We Do, You Do' instructional model to scaffold student learning through modeling and independent practice.
A lesson focused on reviewing key 7th-grade math concepts from Week 25, including proportional tables, circle area, percent problems, and rational number operations, to prepare students for their Power Practice Quiz.
A comprehensive review lesson for the 7th Grade Math Interim Assessment 3, covering rational numbers, expressions, equations, proportions, percents, and circles.
A comprehensive review series for NYS 7th Grade Math, focusing on ratios, proportional relationships, the number system, and expressions and equations. Students practice through 15-question sets designed to mirror the structure and difficulty of interim assessments.
A lesson focused on calculating the area of parallelograms and trapezoids through the lens of urban planning and city design. Students apply geometric formulas to real-world architectural shapes.
A comprehensive lesson focused exclusively on calculating the surface area of right prisms and composite 3D objects. Students learn to master the calculation of 5 and 6-faced prisms and the "Hidden Face" subtraction method for composite structures.
A project-based lesson where students apply geometry skills to design and build a 3D miniature city, focusing on polyhedra, volume, and spatial reasoning.
A targeted Tier 2 intervention lesson for 6th grade students on finding the surface area of prisms and pyramids by 'unfolding' them into nets. This lesson uses a construction blueprint theme to help students track and calculate the area of individual faces before summing them for the total surface area.
General administrative and planning resources for the Math Intensive Lab sequence, including the unit overview and sequence-wide instructional supports.
A project-based learning lesson where students design a miniature city using 2D and 3D geometric shapes to master geometry vocabulary and spatial reasoning.
An interdisciplinary exploration of geometry in world-famous art and architecture, where students analyze symmetry and shape before creating their own geometric masterpieces.
Connects 2D representations to 3D volumes by exploring nets of prisms and pyramids to calculate surface area conceptually.
Deepens understanding of area by decomposing complex shapes into rectangles and triangles using grid-based visual tools.
Interprets measures of center (mean, median, mode) through data visualization and 'What's the Same? What's Different?' statistical talks.
Provides hands-on challenges to master unit conversions within the same system, focusing on the relationship between larger and smaller units.
Focuses on translating real-world phrases into algebraic expressions and evaluating them using 'Contemplate then Calculate' strategies.
Uses visual sequences and function machines to help students identify, extend, and describe numerical patterns and rules.
Introduces integers and absolute value using 'Contextual Stories' and vertical number lines to build a visual understanding of numbers below zero.
Explores the conceptual meaning of ratios and proportional relationships using 'Double Number Lines' and visual models to bridge i-Ready 6th grade gaps.
Strengthens geometric reasoning through 'Shape Sort' tasks, focusing on the properties and classification of polygons.
Develops data literacy through 'Story of a Graph' activities where students connect real-world scenarios to visual representations.
Explores the meaning of the equals sign and balanced expressions using 'True/False Equations' to move students toward algebraic reasoning.
Focuses on fraction fluency and conceptual understanding using 'Quick Images' and 'Number Line Talks' to build a solid foundation in part-to-whole relationships.
A geometry lesson for grades 5-8 focusing on the hierarchical classification of quadrilaterals, using the inclusive definitions of squares, rectangles, rhombuses, and parallelograms.
Students will classify quadrilaterals based on their properties (parallel sides, congruent sides, right angles) and calculate missing interior angles using the 360-degree sum property. The lesson includes a hands-on sorting warm-up, a guided video note-taking session, and a problem-solving challenge.
Students learn to read and write geometric notation, specifically tick marks for side length equality and arcs for angle equality, through video analysis and hands-on triangle classification.
A 15-25 minute exploration into how ancient navigators used fixed points (the North Star) and the repeating patterns of the universe (microcosms, macrocosms, and symmetry) to navigate without modern technology.
A 15-30 minute exploration of how ancient Phoenicians used the macrocosm of the stars to navigate the microcosm of their ships, featuring the root words micro/macro/cosmos and the mathematics of rotational symmetry.
A 7th-grade lesson focused on identifying and correcting common errors in two-step inequality graphs, specifically focusing on shading direction and sign flips.
A lesson on coordinate geometry transformations, focusing on translations and reflections over the axes. Students will learn to manipulate points on a coordinate plane using specific rules.
A quick starter activity for reviewing coordinate transformations, specifically translations and reflections, designed for accessibility.
A targeted Tier 2 intervention lesson focusing on plotting polygons in the coordinate plane and calculating side lengths using absolute value within a city planning context.
A Tier 2 intervention lesson focused on plotting vertices, drawing polygons, and calculating side lengths and perimeters on a coordinate plane. Designed for small group support with scaffolded steps and visual guides.
A small group intervention lesson focused on plotting points in all four quadrants and calculating horizontal and vertical distances.
A targeted intervention lesson focused on mastering the four-quadrant coordinate plane and calculating distances between points using absolute value. Designed for small groups, it includes visual aids, guided plotting, and step-by-step calculation support.
A targeted Tier 2 small group intervention focusing on representing rational numbers on number lines and the four-quadrant coordinate plane, including reflections across axes.
A targeted Tier 2 intervention lesson focusing on representing integers and their opposites on number lines and the coordinate plane. Includes hands-on counter activities, a treasure hunt, and scaffolded quadrant identification within a Deep Sea Discovery theme.
A targeted Tier 2 intervention lesson focusing on graphing in all four quadrants and using absolute value to determine distances between points with the same first or second coordinate.
Connects coordinate graphing to numerical patterns by having students generate coordinate pairs from mathematical rules and plot them to visualize linear relationships.
Focuses on the structural components of the coordinate plane, including the x-axis, y-axis, and origin, while establishing a consistent 'over, then up' protocol for plotting points.
Students connect numerical patterns from input/output tables to ordered pairs and plot them to visualize linear relationships.
Students transition from reading points to plotting them independently using a step-by-step protocol and precise placement on grid intersections.
Students practice reading existing points on a coordinate plane, using the x-coordinate to move horizontally and the y-coordinate to move vertically.
Students define the coordinate system using perpendicular number lines (axes), identify the origin (0,0), and establish the 'Run then Jump' movement protocol.
A comprehensive assessment covering double number lines, ratio tables, and coordinate plane graphing for 7th grade ratio relationships.
A targeted Tier 2 intervention lesson focusing on decomposing composite 2D and 3D shapes to find area, volume, and surface area, aligned with Colorado standard 7.G.B.6.
A targeted Tier 2 intervention lesson focusing on calculating the area, surface area, and volume of 2D and 3D composite shapes. This lesson uses hands-on building, visual formulas, and scaffolded practice to bridge gaps in geometric understanding.
A visual introduction to volume where students explore the concept of space by filling transparent boxes with cubes. They will learn to count unit cubes and compare volumes of different rectangular prisms.
A 7th-grade geometry lesson where students distinguish between surface area and volume through a visual video analysis, a variable-sorting activity, and comparative calculations.
A 7th-grade math lesson focused on calculating the volume of square-based pyramids. Students move from conceptual prediction to formula application and algebraic problem-solving using the formula V = 1/3Bh.
A lesson exploring how scaling dimensions affects the volume of rectangular prisms, focusing on fractional edge lengths and the factor of 8 volume shift.
A hands-on geometry lesson where students act as packaging engineers to design rectangular prisms with specific volume targets, focusing on the real-world application of $V = l \times w \times h$.
A high-energy lesson where 6th-grade students master the volume of cubes through estimation challenges, a direct instruction video, and a fast-paced card game. Students practice mental math strategies and the formula \(V = s^3\) while competing to be the 'Volume War' champion.
A comprehensive lesson focusing on differentiating between linear, area, and volume units through the 'Unit Doctor' clinical theme. Includes interactive slides with a video focus and a diagnostic worksheet for student application.
A scaffolded intervention lesson focusing on isolating the base area calculation ('The Side Problem') to find the volume of triangular pyramids. Students use a structured 'Two-Step Mat' to physically separate the math steps as modeled in the instructional video.
A comprehensive 7th-grade math lesson on calculating the volume of triangular pyramids, focusing on distinguishing between pyramid height and base height through visual identification and formula application.
A hands-on geometry lesson where students learn to calculate the volume of triangular pyramids by designing their own candy packaging with a specific volume target.
Students act as "Prism Architects" to design product packaging that minimizes surface area while maintaining a fixed volume. They apply surface area formulas to compare different geometric designs and identify the most cost-effective solution.
Students explore the relationship between the surface area of prisms and pyramids using nets, discovering the '1/2' factor in the pyramid surface area formula through visual proofs and hands-on manipulation.
Students step into the role of shipping logistics managers to solve real-world volume problems. Using the formula for rectangular prisms, they calculate the capacity of shipping crates and analyze how orientation and 'wasted space' affect actual storage capacity.
A 6th-grade geometry lesson where students 'reverse engineer' the volume formula to find missing dimensions of rectangular prisms. The lesson includes a warm-up, a video-based exploration of the standard formula, and a main activity focused on solving for unknown variables.
A high-energy geometry lesson where students master the volume of cylinders and cones, discovering the 1:3 relationship through calculation and video analysis.
A 7th-grade geometry lesson focusing on the distinction between surface area and volume through hands-on construction of triangular prisms and video-based conceptual learning.
A simplified introduction to geometric rotations on a coordinate plane, breaking down complex coordinate rules into manageable steps with visual supports and physical investigation.
A Tier 2 intervention lesson focusing on the discovery of triangle angle sums and parallel line relationships through hands-on activities and visual models. Students will use physical triangle cutouts and protractors to explore geometry concepts in a small group setting.
A Tier 2 intervention lesson focused on understanding how different forms of linear expressions represent specific relationships in real-world contexts, such as taxes, discounts, and geometry.
A Tier 2 intervention lesson focusing on scale factor through concrete manipulatives (pattern blocks) and representational ratio tables, aligned with CO Standard 7.G.A.1.
A Tier 2 intervention lesson focusing on the geometric relationships of supplementary, complementary, vertical, and adjacent angles to solve for unknown variables. Includes hands-on scaffolding with protractors and guided algebraic modeling.
A targeted Tier 2 intervention lesson focusing on constructing triangles from side and angle measures, exploring the Triangle Inequality Theorem, and identifying unique vs. non-unique triangles through hands-on drafting.
A Tier 2 intervention lesson focused on the construction of triangles using rulers and protractors. Students explore how different side and angle conditions lead to unique, multiple, or no triangles through scaffolded, hands-on architectural tasks.
A Tier 2 intervention lesson for 7th grade students focusing on constructing triangles under specific constraints using physical tools and dynamic geometry software. Students investigate the 'Ambiguous Case' and triangle inequality through collaborative tasks and guided exploration.
A Tier 2 small group intervention focusing on 7.G.B.5, using hands-on exploration and multi-step equation solving to master supplementary, complementary, vertical, and adjacent angle relationships.
A quick 5-question math morning work assignment for 7th grade students covering scale drawings, equations, percents, and proportionality.
Focuses on expanding linear expressions using the distributive property, including work with negative numbers and rational coefficients.
A comprehensive review of 7th Grade NYS Math standards, focusing on proportional relationships, the number system, expressions, and equations through a 'We Do, You Do' instructional model.
A review lesson focused on practicing common error patterns and high-stakes problem types from the NYS 7th Grade Math Interim Assessment.
Cette leçon guide les élèves dans la conception d'une affiche publicitaire pour leur mini-entreprise, en se concentrant sur le passage du format A4 au format Raisin. Elle intègre des notions de français (titre, légendes) et de mathématiques (proportionnalité) dans un cadre professionnel immersif.
Réaliser la mise à l'échelle complète d'un projet client : 6 photos, encarts de texte et calcul des dimensions finales sur format Raisin.
Calculer la surface de papier utilisée et la surface de "perte" (chutes). Sensibilisation à l'optimisation et au coût écologique du gâchis.
Students explore the definition of a radius by plotting circles on a coordinate plane, identifying key points, and discovering the constant distance from the center to the circumference.
A detective-themed geometry lesson where students distinguish between chords and diameters through video analysis, Venn diagrams, and peer-to-peer problem design.
A geometry lesson for middle schoolers exploring the unique properties of equilateral and equiangular triangles through architectural observation, video analysis, and hands-on compass-and-straightedge construction.
A foundational geometry lesson where students explore circle vocabulary through a video-guided hunt and precise geometric construction using compasses.
Students synthesize all polygon construction techniques to create a complex, symmetrical mandala.
A challenge lesson exploring the complex construction of a regular pentagon and its connection to the Golden Ratio.
Students learn the technique of bisecting arcs to double the number of sides of a polygon.
Students utilize perpendicular bisectors of the diameter to construct a perfect square inscribed in a circle.
Students explore the natural six-part symmetry of a circle radius to construct inscribed regular hexagons and equilateral triangles.
A series of timed and accuracy-based challenges where students must construct specific figures (e.g., a square inscribed in a circle with a specific radius) as accurately as possible. Points are awarded for clean intersections and lack of 'fuzzy' points. This acts as a summative assessment of skill.
Students are given a completed geometric diagram without the construction marks and must deduce the steps taken to create it. They work backward to identify where the centers of circles must have been. They verify their hypothesis by recreating the figure.
Students are introduced to the classical 'impossible' problems of antiquity, such as trisecting an angle or squaring the circle. They attempt these constructions and discuss why they cannot be done with Euclidean tools. This fosters critical thinking about the limitations of specific mathematical systems.
Students follow a complex set of written construction instructions to locate a specific point ('buried treasure') on a page. The instructions involve constructing parallels, perpendiculars, and bisectors relative to landmarks. Success is determined by whether their final point matches the teacher's key overlay.
A culminating project where students design a geometric mandala using at least three different inscribed polygon constructions, maintaining visible construction marks to show their geometric proofs.
Students analyze historical examples of geometric art, such as Islamic tile work and Gothic rose windows, to deconstruct the underlying constructions and identify hidden polygons.
Students learn to bisect arcs to double the number of sides in their polygons. They construct octagons and dodecagons, observing how the figure increasingly resembles the parent circle.
Students use perpendicular bisector techniques to draw perpendicular diameters in a circle. By connecting the endpoints, they construct a perfect inscribed square and analyze its 90-degree rotational symmetry.
Students discover the 'magic' of the radius stepping around the circumference exactly six times. They construct regular hexagons and then connect alternating vertices to form equilateral triangles, exploring 60-degree relationships.
Calculer le facteur d'agrandissement maximal pour passer d'un modèle A4 au format Raisin (50x65 cm) sans dépasser les bords du papier.
Calculer les dimensions et l'espacement pour placer 6 photos sur une page A4. Utilisation de la division et de la multiplication pour une mise en page équilibrée.
Comprendre si une photo peut être agrandie sans être recadrée en comparant les ratios largeur/hauteur. Concept de proportionnalité appliqué à l'image.
A Tier 2 intervention lesson focusing on the conceptual understanding of square and cube roots using unit cubes. Students transition from building physical models to using symbolic notation and memorizing common perfect roots.
A targeted Tier 2 intervention lesson focusing on the relationship between 3D figures and their 2D nets. Students deconstruct real-world boxes to calculate surface area through face-by-face analysis and collaborative problem-solving.
A Tier 2 intervention lesson focused on hands-on exploration of 3D figures through nets, transitioning from folding physical models to calculating surface area in real-world contexts.
A Tier 2 intervention lesson for 7th-grade students focusing on identifying and describing 2D cross-sections of right rectangular prisms and pyramids through hands-on 'surgical' slicing activities.
A Tier 2 intervention lesson focused on visualizing and describing 2D cross-sections of 3D figures using clay modeling, visual diagrams, and guided sketching.
A Tier 2 small group intervention focused on identifying 2D cross-sections of right rectangular prisms and pyramids through hands-on modeling and visualization.
A targeted Tier 2 intervention lesson focusing on the real-world application of area, volume, and surface area using scaffolded visuals like nets and unit cubes. Students transition from concrete representations to abstract problem-solving with composite figures.