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 foundational ACT/SAT prep lesson focusing on high-frequency algebra, geometry, and data questions for students looking to move past the 15-20 score range. Includes strategies for time management and a diagnostic assessment.
A lesson focused on calculating the area of regular polygons by decomposing them into triangles and applying trigonometric ratios to find missing dimensions.
A comprehensive lesson on solving quadratic equations using factoring by grouping and completing the square, featuring step-by-step visual guides and architectural-themed practice.
A comprehensive practice session for the TSIA2 Math exam, focusing on quantitative reasoning, algebraic reasoning, geometry, and statistics.
A comprehensive 20-question practice test covering all four TSIA2 Math domains: Quantitative Reasoning, Algebraic Reasoning, Geometry, and Probability and Statistics.
An introductory exploration of calculus-adjacent concepts tested on the ACT, focusing on limits, instantaneous rates of change, and function optimization. Students will master the Limit Blueprint and apply rate-of-change logic to complex algebraic scenarios.
An intensive masterclass on advanced trigonometric identities, the unit circle, and non-right triangle laws. Students will master the Pythagorean identities, Law of Sines/Cosines, and the specific ACT-style unit circle coordinates required for top-tier scores.
A specialized deep dive into advanced geometry concepts including circle equations, 3D volume/surface area of complex shapes, and coordinate geometry involving perpendicularity and distance. Students will master completing the square for circles and visualizing 3D cross-sections.
A specialized deep dive into trigonometric functions, mastering the critical distinction between period and frequency. Students will apply the 2π/b blueprint to decode sine and cosine graphs and solve high-difficulty periodic motion problems.
A focused deep dive into imaginary and complex numbers. Students will master powers of i, arithmetic with complex conjugates, and solving quadratic equations with complex roots—all through the lens of ACT-style 'Final Ten' questions.
A comprehensive lesson focused on high-level ACT Math topics including matrices, complex functions, trigonometry, and advanced statistics. The lesson emphasizes identifying common 'traps' and applying architectural-style problem-solving strategies.
This lesson focuses on the practical application of volume, surface area, and triangle properties to optimize packaging and ensure structural stability. Students engage in design-based tasks that scaffold the modeling process for Tier 2 intervention.
A targeted Tier 2 intervention lesson focusing on the informal justification of volume and area formulas through Cavalieri's Principle and limit reasoning, designed for small group support with visual aids.
A Tier 2 intervention lesson focusing on the conceptual understanding and application of volume formulas for 3D figures. Designed for small group support with scaffolded practice and clear visual aids.
A targeted small-group intervention focused on deriving formulas for circle area and solid volumes through hands-on dissection and comparison. This lesson helps students move beyond memorization to conceptual understanding of G-GMD.A.1.
A Tier 2 intervention lesson focusing on the conceptual 'why' behind circle and volume formulas using dissection and Cavalieri's Principle. Designed for small group instruction with high scaffolding and progress monitoring.
A targeted Tier 2 intervention lesson focusing on the practical application of the Pythagorean Theorem in 2D and 3D contexts, designed for small group support with scaffolded steps and visual aids.
Master the most challenging topics on the ACT, including Pre-Calculus concepts (matrices, vectors, complex numbers) and high-difficulty Geometry (Law of Sines/Cosines, ellipses).
Apply strategies and knowledge in a timed practice environment with a representative ACT Math question set.
Review critical Geometry and Trigonometry concepts, from SOH CAH TOA to circle properties and coordinate geometry.
Students will learn to identify geometric shapes within complex real-world objects and use measures and properties to describe them accurately. The lesson includes scaffolded modeling, guided practice, and progress monitoring.
A high school math support lesson that bridges the gap between the physical 'geometry' of algebra tiles and the algebraic 'algorithm' of completing the square. Students build physical squares to visualize the missing term before solving equations algebraically using a video guide.
Students will investigate and verify Euler's Formula (F+V-E=2) for various polyhedra through video analysis and hands-on investigation of 3D geometric solids.
A comprehensive lesson where students classify quadrilaterals by investigating their properties through a video-guided family tree and a 'Shape Detective' property-matching activity.
A focused lesson on the precise naming of angles in complex geometric diagrams, emphasizing the three-letter convention to eliminate ambiguity. Students will transition from single-letter naming to the rigorous vertex-in-the-middle approach through video analysis and a peer-to-peer drawing game.
A high-energy Algebra 2 lesson where students use Desmos to visualize systems of linear inequalities and identify 'feasible regions' as geometric shapes, culminating in an introduction to linear programming.
Students visualize perfect square trinomials through geometric area models, debunking the 'Freshman's Dream' misconception and physically proving the existence of the middle 2ab term.
A Pre-Calculus lesson where students explore infinite geometric series through geometric models and visual proofs, transitioning from physical drawings to algebraic formulas.
A high school math intervention lesson focused on polygon properties, interior angle formulas, and real-world geometry applications through a creative poster project.
Students integrate algebra and geometry by using the interior angle sum formula \((n-2) \cdot 180\) to solve for unknown variables in various polygons. The lesson includes a warm-up, video analysis, and a hands-on 'Algebraic Polygons' challenge.
Students apply the box method to solve basic quadratic equations, connecting visual factors to the zero-product property through a real-world trajectory scenario.
This lesson introduces negative terms into the area model, using color coding and spatial reasoning to represent subtraction and negative integers.
Students reverse the multiplication process, treating factoring as a puzzle where they must form a perfect rectangle from a given set of tiles to find its dimensions.
Learners transition to the Box Method (Area Model) to multiply binomials, using a grid to organize partial products and reduce errors.
Students explore the physical representation of 1, x, and x^2 using algebra tiles and practice building expressions to understand like terms visually.
Introduction to conditional logic (if-then statements) applied to shape attributes, focusing on converses and biconditionals.
Learners map the hierarchy of quadrilaterals, identifying how properties are inherited down the 'family tree' and focusing on inclusive definitions.
Students critique and refine definitions of basic polygons to eliminate ambiguity, exploring convex vs. concave and regular vs. irregular classifications.
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 cross-curricular lesson where students apply the mathematical concepts of domain and range to geographic boundaries and coordinate mapping. Designed to be taught by geography teachers, it bridges coordinate geometry with cartographic analysis.
A maritime-themed lesson exploring trigonometry through the lens of the Titanic's maiden voyage. Students master unit circle coordinates and trigonometric values using historical figures and navigation scenarios.
A culminating lesson featuring a mixed review of all quadrilateral proofs and a formal assessment of unit mastery.
Applying the distance, midpoint, and slope formulas to prove quadrilateral classifications on the coordinate plane.
Investigating the properties of trapezoids, isosceles trapezoids, and kites, including proofs involving midsegments and diagonals.
Exploration of rectangles, rhombi, and squares, focusing on their unique properties and using them in formal proofs.
Introduction to the properties of parallelograms and the five ways to prove a quadrilateral is a parallelogram using two-column proofs.
A comprehensive summative assessment and real-world modeling task where students must apply all learned skills to finalize a 'blueprint' for a new community space.
Transitions from one-variable to two-variable linear relationships. Students graph equations using slope and y-intercept, interpreting these values within the context of architectural design.
Addresses the logic of linear inequalities, including graphing on a number line and the critical rule for multiplying/dividing by a negative number. Includes real-world 'budgeting' scenarios.
Students learn to manipulate formulas and literal equations, 'remodeling' them to solve for a specific variable. Connects abstract variable manipulation to real-world geometric and physical formulas.
Teaches students how to handle equations with variables on both sides of the equals sign. Emphasizes maintaining 'structural balance' and choosing the most efficient first move.
A foundational geometry lesson focused on identifying the three sides of a right triangle (hypotenuse, opposite, and adjacent) relative to a reference angle, designed for cross-categorical special education settings with high visual support.
A comprehensive lesson exploring the relationships between angles formed when parallel lines are intersected by a transversal, including identifying angle pairs and calculating missing measures.
A strategic masterclass for the ACT Science section, focusing on speed-reading data sets, identifying experimental variables, and decoding scientific logic. This lesson emphasizes the 'Straight to the Data' approach to maximize score in the 35-minute time limit.
A Tier 2 intervention lesson designed to move students from 1D partitioning on a number line to 2D partitioning on a coordinate plane using the section formula. Includes explicit modeling and scaffolded practice.
A targeted Tier 2 intervention lesson focusing on the visualization of cross-sections and solids of revolution. Students use a 'Drafting Lab' theme to master identifying 2D slices and 3D rotations through scaffolded practice and visual models.
A Tier 2 intervention lesson focused on mastering congruence and similarity criteria through scaffolded proofs and real-world solving. Students will use SSS, SAS, ASA, AAS, HL, and similarity shortcuts to analyze geometric figures.
A Tier 2 intervention lesson focusing on selecting and applying the correct criteria for triangle congruence (SSS, SAS, ASA, AAS, HL) and similarity (AA, SSS, SAS).
A targeted intervention lesson where students use transformations (dilations and rigid motions) to prove why two angles are sufficient to establish triangle similarity. Designed for Tier 2 small group support with scaffolded explorations.
A targeted Tier 2 intervention lesson focusing on proving the Side-Splitter Theorem and the Pythagorean Theorem through triangle similarity. Designed for small group support with scaffolded proofs and visual aids.
A targeted Tier 2 intervention lesson focusing on visual proofs for the Side-Splitter Theorem and the similarity-based proof of the Pythagorean Theorem, designed for struggling high school learners.
A Tier 2 intervention lesson focusing on the Triangle Proportionality Theorem and the similarity-based proof of the Pythagorean Theorem, designed for small group instruction with heavy scaffolding.
A targeted intervention lesson focused on the AA Similarity Criterion, using transformation-based reasoning and visual proofs to help Tier 2 learners understand why two angles are sufficient to prove triangle similarity.
A targeted Tier 2 intervention lesson focusing on triangle similarity through the lens of transformations (dilations, rotations, reflections, and translations). Using a Concrete-Representational-Abstract (CRA) approach, students connect rigid motions and dilations to proportional sides and congruent angles.
A targeted intervention lesson designed to help students bridge the gap between transformations and the AA similarity criterion through visual proofs and scaffolded practice.
A comprehensive guide to understanding geometric similarity, covering ratios, proportions, and similarity criteria for polygons and triangles.
A lesson focusing on the intersection of geometry and algebra, where students use the distributive property and proportional reasoning to solve for missing side lengths in similar triangles.
A comprehensive lesson on writing two-column proofs for triangle similarity, featuring a blueprint-themed aesthetic. Includes a hook on shadow trigonometry, a video analysis of trapezoid proofs, and a collaborative 'scrambled proof' puzzle focusing on parallel lines and the AA postulate.
A 10th-grade Geometry lesson where students diagnose and repair flawed similarity proofs, acting as 'Proof Doctors' to sharpen their justification skills using AA, SAS, and SSS postulates.
Students will transition from proving triangle similarity to proving product relationships between segment lengths using the Means-Extremes Product Theorem. This lesson bridges the gap between geometry and algebra through formal two-column proofs.
A 10th-grade geometry lesson focused on using similarity statements as algebraic maps to identify corresponding parts and calculate unknown values without relying on visual diagrams. Students engage in a collaborative "Blind Build" challenge where they must apply scale factors based solely on letter order.
A lesson focused on solving for unknown variables in similar polygons using proportions and algebraic expressions. Students will learn to set up ratios correctly and solve multi-step equations based on geometric similarity.
Students will investigate the property that similar right triangles share constant trigonometric ratios by measuring three differently sized similar triangles and calculating their sine, cosine, and tangent values.
Students explore the Geometric Mean Theorem in right triangles, comparing a 'shortcut' formula to an algebraic proof using systems of equations. The lesson includes a video-based comparison and a 'Speed vs. Proof' activity to reinforce conceptual understanding.
Students will learn to navigate complex right triangle side-length problems using a combination of the Pythagorean Theorem and Geometric Mean (Altitude on Hypotenuse) formulas. The lesson focuses on strategic sequencing—identifying which formula acts as the 'key' to unlock the rest of the triangle's measurements.
A 10th-grade geometry lesson exploring the Altitude on Hypotenuse Theorem, focusing on geometric mean formulas and radical simplification. Students will use video tutorials to master solving for missing side lengths in right triangles.
A scaffolded intervention lesson teaching students to construct tangent lines from external points using midpoints and intersecting circles, grounded in Colorado standard HS.G-C.A.4.
A targeted Tier 2 intervention lesson focusing on the properties of inscribed quadrilaterals and the construction of triangle centers (circumcenter and incenter). Students use compass and straightedge tools to explore geometric relationships and complete scaffolded proofs.
A Tier 2 intervention lesson focusing on the geometric construction of tangent lines from an external point, emphasizing the relationship between radii and right angles. This small-group session uses scaffolded compass and straightedge work to help struggling learners master construction techniques and conceptual proofs.
Focuses on the fundamental geometric constructions: copying segments/angles, bisecting segments/angles, and constructing perpendicular and parallel lines. Includes scaffolded instruction for Tier 2 intervention.
A targeted intervention lesson for high school students to master the construction of a tangent line from an external point to a circle. This lesson breaks down the complex construction into manageable, scaffolded steps with built-in progress monitoring.
A Tier 2 intervention lesson focusing on the geometric relationship between circles and inscribed regular polygons, providing step-by-step scaffolded construction practice for struggling learners.
A Tier 2 intervention lesson focusing on geometric constructions (inscribed/circumscribed circles) and proving angle properties of cyclic quadrilaterals using scaffolded support.
A focused intervention lesson on constructing circumscribed and inscribed circles of a triangle using perpendicular and angle bisectors.
A targeted intervention lesson for high school geometry students focusing on the step-by-step construction of regular polygons inscribed in a circle. This lesson uses scaffolded instruction and a blueprint-themed aesthetic to help students master compass and straightedge techniques.
Focuses on developing formal definitions for reflections, translations, and rotations using the language of perpendicular lines, parallel lines, and angles. Students use step-by-step construction logic to define rigid motions.
A Tier 2 intervention lesson focusing on the geometric logic and step-by-step construction of regular polygons inscribed in circles. Designed for small group support with visual scaffolding and collaborative inquiry.
A Tier 2 intervention lesson focusing on geometric constructions using various tools. Students explore precision through compass and straightedge, paper folding, and dynamic software.
A Tier 2 intervention lesson focused on mastering fundamental geometric constructions through demonstration and scaffolded practice. Students will learn to copy segments, copy angles, and bisect both using a compass and straightedge.
In this inquiry-based lesson, students explore the logical foundations of geometric constructions. By comparing the 'physical' measurement of a ruler with the 'logical' preservation of distance in a compass, students learn why constructions serve as the basis for geometric proofs and congruence.
A foundational geometry lesson on using a compass and straightedge to construct congruent line segments, including video analysis and hands-on practice.
A cross-curricular project for 8th-10th grade students that bridges geometry and art. Students learn the foundational skill of copying line segments using a compass and straightedge to create intricate, aesthetically pleasing geometric designs and reflections.
Students will construct perpendicular bisectors to find the circumcenter of acute, right, and obtuse triangles, exploring how the triangle's shape dictates the circumcenter's location.
A hands-on geometry lesson where students learn to perform dilations using a compass and straightedge. Students explore the relationship between distance and scale factor while constructing enlargements and reductions without a coordinate grid.
A geometry lesson where students apply the concept of the incenter to find the optimal location for a city park equidistant from three major highways. Students use geometric construction and scaling to solve a real-world urban planning problem.
A 10th-grade geometry lesson focusing on the properties and construction of the incenter and circumcenter of a triangle, featuring interactive sorting and video analysis.
Students connect the Pythagorean Theorem to the distance formula and the equation of a circle, then master completing the square through guided algebraic scaffolds.
A targeted Tier 2 intervention lesson focusing on the conceptual link between the Pythagorean Theorem and circle equations, covering both standard and general forms.
A Tier 2 intervention lesson focusing on the geometric definitions of ellipses and hyperbolas. Students use physical constructions to understand the relationship between foci and distance, leading to scaffolded equation derivation.
A targeted intervention lesson for high school students to derive the equation of a parabola using the distance formula, focusing on the locus definition of being equidistant from a focus and directrix.
A Tier 2 intervention lesson focusing on the derivation of the circle equation from the Pythagorean Theorem and the algebraic process of completing the square to identify the center and radius.
A Tier 2 intervention lesson focusing on the geometric definition of a parabola as the set of points equidistant from a focus and a directrix. Students will use graphing and scaffolded algebra to derive the standard form equation for a parabola with a vertex at the origin.
A targeted Tier 2 intervention lesson focusing on deriving parabola equations from focus and directrix using the distance formula. Includes visual scaffolding, algebraic support, and progress monitoring for high school geometry students.
A targeted Tier 2 intervention lesson focusing on the geometric definitions of ellipses and hyperbolas. Students connect hands-on 'string and pin' constructions to the algebraic derivation of equations using the constant sum and difference of distances from two foci.
A small-group intervention lesson focused on deriving ellipse and hyperbola equations from focal points using the constant sum/difference of distances.
This lesson focuses on identifying where a line and a parabola or circle cross. Students practice visual estimation on a grid and follow up with algebraic verification using substitution, targeting common misconceptions in systems of nonlinear equations.
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.
A targeted small group intervention lesson focused on deriving circle formulas using similarity, defining radians, and calculating sector areas with scaffolded support.
Students explore how similar right triangles share consistent side ratios, leading to the formal definitions of sine, cosine, and tangent.
A small-group intervention lesson focused on performing and sequencing translations, reflections, and rotations. The lesson uses graph paper and tracing paper to bridge the gap between physical motion and mathematical notation.
A targeted Tier 2 intervention lesson focusing on similarity through transformations, dilations, and triangle similarity criteria. Includes scaffolded instruction and progress monitoring.
A targeted intervention lesson focusing on the practical application of triangle congruence and similarity criteria. Includes step-by-step problem-solving frameworks and scaffolded real-world scenarios for small group support.
A targeted intervention lesson focusing on the similarity-based origin of trigonometric ratios, helping students understand why side ratios remain constant for specific angles in right triangles.
A targeted Tier 2 intervention lesson focusing on defining similarity through transformations and verifying it through angle and side ratio comparisons. Designed for high school students who need structured support with HS.G-SRT.A.2.
A Tier 2 intervention lesson focused on verifying dilation properties through hands-on measurement and coordinate plane exploration. Designed for small groups, it emphasizes the relationship between scale factor, distance from center, and segment length.
A targeted Tier 2 intervention lesson focusing on the conceptual bridge between triangle congruence shortcuts and rigid motions through hands-on construction and mapping.
A small group intervention lesson focused on drawing transformations and identifying sequences of motions that map one figure onto another, designed for Tier 2 support.
A Tier 2 intervention lesson focused on proving all circles are similar through translations and dilations, designed for small group instruction with high scaffolding.
A Tier 2 intervention lesson focusing on the connection between rigid motions and triangle congruence criteria (SSS, SAS, ASA). Students will learn to justify congruence shortcuts by mapping one triangle onto another using translations, rotations, and reflections.
A targeted intervention lesson for small groups to geometrically derive trigonometric ratios for pi/3, pi/4, and pi/6 using special right triangles. This lesson focuses on conceptual understanding through construction and pattern recognition.
A thought-provoking 46-minute geometry lesson where students act as urban planners to discover and apply angle relationships created by transversals and parallel lines. Students use SMP 3 and 7 to justify missing angle measures in complex 'city grids'.
A diverse collection of high-quality math resources spanning Algebra, Geometry, Statistics, and Pre-Calculus.
A Tier 2 intervention lesson focused on the visual and algebraic relationship between the slopes of parallel and perpendicular lines, aligned with Colorado standard HS.G-GPE.B.5.
A small-group intervention lesson focusing on the conceptual derivation of sphere volume by comparing its cross-sections to a cylinder with a cone removed, utilizing Cavalieri's Principle.
A targeted Tier 2 intervention lesson focusing on using the coordinate plane to prove geometric properties of shapes through algebra. Students will use slope and distance formulas to verify if figures are rectangles, parallelograms, or right triangles.
A targeted Tier 2 intervention lesson designed for small groups to master coordinate proof strategies. The lesson focuses on using slope, distance, and midpoint formulas to verify geometric properties of quadrilaterals like parallelograms and rectangles.
A targeted Tier 2 intervention lesson focusing on the slope criteria for parallel and perpendicular lines. Includes a visual proof of the 90-degree rotation for perpendicularity and scaffolded coordinate geometry problems.
A targeted intervention lesson focused on deriving the triangle area formula using trigonometry and auxiliary altitudes, specifically designed for Tier 2 small group support.
A targeted Tier 2 intervention lesson for High School Geometry students to derive and apply the Law of Sines through scaffolded proofs and structured practice.
A focused intervention lesson on proving and applying the Laws of Sines and Cosines for non-right triangles, designed for Tier 2 small group support.
A Tier 2 intervention lesson designed for small groups to learn how to find a point on a directed line segment that partitions it in a given ratio. The lesson emphasizes the 'Ratio to Fraction' conversion and the 'Shift and Scale' method.
A scaffolded lesson focusing on proving all circles are similar using translations and dilations, designed for Tier 2 small group support.
A targeted intervention lesson for Tier 2 students to discover trigonometric ratios (Sine, Cosine, Tangent) through hands-on measurement and comparison of similar right triangles. This lesson emphasizes the property that side ratios remain constant for specific angles regardless of triangle size.
A targeted Tier 2 intervention lesson focusing on proving circle similarity through translation and dilation transformations. Designed for small group instruction with scaffolded hands-on practice.
A Tier 2 intervention lesson focusing on the properties and proofs of parallelograms using concrete measurement, construction, and scaffolded logic. Developed for small group support to meet Colorado standard HS.G-CO.C.11.
A Tier 2 intervention lesson focused on proving and applying parallelogram theorems, designed for small group support with scaffolded proofs and visual aids.
Students will derive the distance formula from the Pythagorean Theorem and apply it to classify triangles on a coordinate plane. The lesson includes a video-based derivation, guided practice, and a 'Prove It' challenge where students use coordinates to identify triangle types.
A hands-on geometry lesson focusing on the unique properties of parallelogram diagonals. Students use physical models to discover that while diagonals always bisect each other, they only become equal in rectangles, helping them distinguish between necessary and sufficient conditions.
Students discover the six fundamental properties of parallelograms through hands-on measurement and a guided investigation before formalizing their knowledge with a video and anchor chart activity.
A high school geometry lesson where students apply the area formula for trapezoids and the Pythagorean theorem to design a community park. Students move from basic calculation to complex decomposition and algebraic problem-solving through a collaborative design project.
A 10th-grade geometry lesson focusing on the algebraic derivation of the equilateral triangle area formula and its application to regular hexagons. Students use video analysis and Cornell notes to master the connection between special right triangles and general geometric formulas.
This lesson focuses on integrating algebraic solving techniques with geometric properties of kites. Students will use the perpendicular bisector property of diagonals and congruent side properties to solve for missing variables and side lengths, including linear and quadratic expressions.
A high-school geometry lesson where students apply the Triangle Sum Theorem and kite properties to solve 'The Angle Chase,' a collaborative puzzle involving connected geometric figures.
Students explore the unique geometric properties of kites through video analysis and collaborative problem-solving, focusing on diagonal relationships and angle measures.
A 10th-grade math intervention lesson focusing on solving linear equations within the context of parallelogram properties, using visual cues and error analysis to reinforce Algebra 1 skills.
A lesson focusing on the special relationship in isosceles right triangles where the altitude is exactly half the hypotenuse, featuring a "Shortcut Hunter" activity to distinguish special cases from general geometric mean problems.
Students step into the role of geometry designers as they synthesize their knowledge of parallelogram proofs to create rigorous multiple-choice questions, focusing on the logic of sufficient conditions and the art of the 'distractor' answer.
A high-school geometry lesson focused on identifying logical fallacies and insufficient conditions in parallelogram proofs. Students act as 'Skeptics' to disprove false geometric claims using counter-examples like isosceles trapezoids and kites.
A Tier 2 intervention lesson focusing on G-MG.A.1, helping students model real-world objects as geometric solids. This lesson uses a blueprint/drafting theme to make geometric modeling concrete and accessible for struggling learners.
A Tier 2 intervention lesson focused on HS.G-MG.A.1, helping students identify geometric models for real-world objects and use their properties to estimate measurements through scaffolded practice.
A Tier 2 intervention lesson focused on applying geometric principles to real-world design problems. Students explore optimization and constraints through scaffolded reasoning and a collaborative park design project.
A geometry intervention focused on solving real-world design problems. Students will apply surface area and volume concepts to minimize costs and respect physical constraints in engineering scenarios.
A Tier 2 intervention lesson for High School Geometry focusing on applying density concepts (population and material) using area and volume measurements, featuring real-world data and scaffolded calculations.
A Tier 2 intervention lesson focused on breaking down density problems through geometric measurement and unit analysis, using structured templates and visual scaffolding.
A Tier 2 intervention lesson focused on mastering density concepts using area and volume. Students will use modeling to solve real-world problems like population density and material mass.
A Tier 2 intervention lesson exploring Cavalieri's Principle to understand why volume formulas work, specifically focusing on spheres and prisms through informal arguments. Includes visual aids and scaffolded tasks for students needing additional support.
A targeted intervention lesson for high school geometry students, focusing on practical applications of the Laws of Sines and Cosines in surveying and physics contexts. This lesson utilizes scaffolded instruction and real-world scenarios to support Tier 2 learners in mastering oblique triangle trigonometry.
A targeted Tier 2 intervention lesson for High School Geometry focusing on real-world applications of right triangle trigonometry and the Pythagorean Theorem through a structured 5-step problem-solving framework. Students will use scaffolds to navigate complex word problems and demonstrate mastery through progress monitoring checkpoints.
A Tier 2 intervention lesson focused on decomposing composite solids and selecting appropriate volume formulas for real-world applications. Students engage in hands-on measurement and guided calculation to build confidence with standard HS.G-GMD.A.3.
A targeted Tier 2 intervention lesson focusing on volume formulas for cylinders, pyramids, cones, and spheres using real-world applications and scaffolded problem-solving techniques.
A Tier 2 intervention lesson focusing on the informal derivation of the sphere volume formula using Cavalieri's Principle and visual comparisons of 3D solids.
A high school geometry lesson focused on calculating the volume and surface area of triangular pyramids, featuring a group challenge and a video walkthrough.
A hands-on geometry lesson where students design a pyramid-shaped product package, applying volume and surface area formulas to meet real-world constraints.
Students discover and apply the 3D distance formula to find space diagonals in real-world contexts, specifically their own classroom. They will calculate the longest internal distance in a rectangular prism using the Pythagorean theorem twice.
A comprehensive assessment and review sequence covering the Pythagorean theorem, special right triangles, trigonometric ratios, and real-world applications for 10th-grade geometry students.
A targeted intervention lesson designed to help students connect the Law of Cosines to the Pythagorean Theorem and apply trigonometric laws to solve oblique triangles. Features visual scaffolds, step-by-step worked examples, and decision-making tools for choosing between laws.
A Tier 2 intervention lesson focusing on hands-on exploration of cross-sections and solids of revolution using physical models and sketching. Students transition from 3D manipulation to 2D visualization to meet standard HS.G-GMD.B.4.
This lesson focuses on identifying cross-sections of prisms, pyramids, and cylinders, as well as visualizing the 3D solids formed by rotating 2D shapes about an axis. Includes hands-on modeling suggestions and scaffolded visual supports for Tier 2 intervention.
Students will derive the surface area formula for cylinders by mapping the general prism formula (S = 2B + Ph) to circular components, using a visual net-based approach.
A lesson focused on bridging the gap between prism and cylinder surface area formulas using the Pause and Predict method. Students analyze a video to discover how circular bases and circumferences transform the standard SA formula.
A high-intensity SAT/ACT prep lesson focused on the 45-45-90 special right triangle. Students learn to identify hidden triangles in circles and squares to solve complex geometry problems using rapid radical shortcuts.
Students move from 2D to 3D geometry by deriving the space diagonal formula for cubes and rectangular prisms using the Pythagorean theorem. The lesson includes a video-based derivation for cubes and a workshop where students generalize the formula for any rectangular prism.
A targeted intervention lesson focusing on the Law of Sines and Law of Cosines. This lesson helps Tier 2 students identify when to use each law and provides scaffolded practice for solving unknown sides and angles in non-right triangles.
A targeted intervention lesson focused on the relationship between sine and cosine in complementary angles. Designed for Tier 2 small group support with scaffolded visual aids and progress monitoring.
A Tier 2 intervention lesson focusing on the relationship between sine and cosine of complementary angles using right triangle models. Students will explore how switching perspectives within a triangle reveals the co-function identity.
A targeted intervention lesson focusing on selecting the appropriate trigonometric law (Sines vs. Cosines) based on given triangle information and applying it to solve for missing measurements.
A Tier 2 intervention lesson focusing on the complementary relationship between sine and cosine using structured discovery and numerical patterns. Students will move from calculating ratios to identifying the $\sin(\theta) = \cos(90^\circ - \theta)$ identity.
A targeted intervention lesson for high school students focused on understanding triangle congruence through rigid motions (translations, reflections, and rotations). Students will learn to map corresponding parts and justify congruence using transformation definitions.
A Tier 2 intervention lesson focused on identifying reflective and rotational symmetry in polygons, helping students visualize how shapes carry onto themselves.
A targeted small-group intervention lesson focusing on the properties of dilations. Students explore how scale factors and centers of dilation affect lines and line segments through hands-on measurement and scaffolded discovery.
A Tier 2 intervention lesson for high school geometry students to master congruence through rigid motions. This lesson uses the Concrete-Representational-Abstract (CRA) approach to help students identify and describe transformations that map one figure onto another.
A Tier 2 intervention lesson focused on identifying and performing sequences of transformations (translations, reflections, and rotations) to map one figure onto another using geometry software. This lesson provides scaffolded support for students struggling with visual-spatial reasoning and formal notation.
A targeted intervention lesson exploring the relationship between central angles, arc lengths, and sector areas through hands-on measurement and proportional reasoning.
A targeted Tier 2 intervention lesson focusing on the derivation of radian measure and sector area through proportional reasoning and hands-on measurement concepts. Students explore why the ratio of arc length to radius is constant for a given angle and apply this to find areas of circular sectors.
A targeted small-group lesson where students use string and unit circle models to discover that radian measure is equivalent to arc length when the radius is one.
A Tier 2 small group intervention focused on the conceptual understanding of radian measure as arc length on the unit circle, utilizing hands-on discovery and visual mapping.
A targeted Tier 2 intervention lesson focusing on the conceptual understanding of radians as arc length and the procedural fluency of converting between degrees and radians.
Deep dive into high-yield Algebra topics including linear functions, systems of equations, and quadratic properties frequently tested on the ACT.
Master the structure of the ACT Math section and learn time-saving strategies like 'The 3-Pass Method' and 'Plugging In' while reviewing essential formulas.
A comprehensive ACT Math preparation module focusing on core concepts, time management strategies, and targeted practice across all test categories.
Students explore the geometry of negative space through 'spandrels'—the shapes left over when curves are placed within polygons. This lesson uses algebraic decomposition and visual transformations to solve complex area problems, culminating in the creation of generalized formula sheets.
A high school geometry lesson on calculating arc length and sector area using a 'Pizza Slices' theme. Students review basic circle formulas, analyze a video demonstration, and apply their knowledge to real-world pizza dimensions.
A small-group intervention lesson where students use hands-on rigid motion explorations to verify triangle congruence and identify corresponding parts.
A small group lesson where students use transformations (translation, rotation, and reflection) to explain why SSS, SAS, and ASA criteria guarantee triangle congruence.
A targeted Tier 2 intervention lesson focusing on mapping quadrilaterals and regular polygons onto themselves using reflections and rotations. Designed for small group instruction with scaffolded visuals and clear procedural steps.
A Tier 2 intervention lesson focused on identifying and describing relationships between circles, arcs, and angles. Students explore central, inscribed, and tangent properties through scaffolded visuals and guided practice.
A small-group intervention lesson exploring inscribed angles, diameter relationships, and tangent-radius perpendicularity through dynamic exploration and scaffolded practice.
A Tier 2 geometry intervention lesson focusing on the discovery of inscribed angles, central angles, and chord-radius relationships through hands-on measurement and guided inquiry.
A Tier 2 intervention lesson focusing on the precise definitions of basic geometric terms (angle, circle, perpendicular line, parallel line, and line segment) using undefined notions. Designed for small group instruction with hands-on scaffolding.
A specialized intervention lesson teaching students to systematically calculate the perimeter and area of polygons on a coordinate plane using step-by-step distance formula templates.
A targeted intervention lesson for high school geometry students on partitioning directed line segments using weighted averages and coordinate reasoning. This lesson uses a navigation-themed blueprint aesthetic to guide students through visual models and step-by-step calculations.
A Tier 2 intervention lesson focused on calculating perimeter and area of polygons using the distance formula on a coordinate plane. Designed for high school students needing scaffolded support with CO Standard HS.G-GPE.B.7.
A Tier 2 intervention lesson focused on using coordinates to prove geometric properties. Students will use slope, midpoint, and distance formulas to verify claims about triangles and quadrilaterals through scaffolded investigations.
A targeted intervention lesson focused on the relationship between parallel and perpendicular slopes, using step-by-step frameworks to help students write linear equations. This lesson is designed for Tier 2 small group support with a focus on visual representations and algebraic procedures.
A targeted intervention lesson for high school students focusing on finding the perimeter and area of polygons on a coordinate plane using the distance formula and coordinate geometry. This lesson uses a 'Blueprint' theme to engage students in architectural measurement tasks.
A targeted Tier 2 intervention lesson focusing on the properties of parallelograms using coordinate geometry and scaffolded proofs to support struggling learners.
A specialized lesson for Algebra Support focusing on identifying and correcting common sign and arithmetic errors within the distance formula, featuring video-guided instruction and station-based error analysis.
A 10th-grade geometry lesson focusing on using point-slope form to define triangle sides and constructing parallel lines. Students use coordinate geometry to analyze shapes and reinforce their understanding of linear relationships.
