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 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.
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 derivation of the circle equation from the Pythagorean Theorem and the algebraic process of completing the square to identify the center and radius.
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 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 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 Tier 2 intervention lesson focused on applying right triangle trigonometry and the Pythagorean Theorem to real-world design and measurement challenges using scaffolded graphic organizers.
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 Tier 2 intervention lesson focusing on using trigonometry and the Pythagorean Theorem to solve real-world right triangle problems with scaffolded support.
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 Tier 2 small group intervention focused on deriving the Pythagorean identity and using it to find missing trigonometric ratios in specific quadrants. Includes scaffolded derivation, quadrant analysis, and structured practice.
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 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 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 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.
Students explore how similar right triangles share consistent side ratios, leading to the formal definitions of sine, cosine, and tangent.
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 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 Tier 2 intervention lesson focused on deriving and applying the sine formula for triangle area, transitioning students from the basic base-height formula to trigonometry-based calculations.
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 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 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 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.
A small-group intervention lesson exploring inscribed angles, diameter relationships, and tangent-radius perpendicularity through dynamic exploration and scaffolded practice.
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 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 targeted small group intervention lesson focused on deriving circle formulas using similarity, defining radians, and calculating sector areas with scaffolded support.
A Tier 2 intervention lesson focusing on geometric constructions (inscribed/circumscribed circles) and proving angle properties of cyclic quadrilaterals using scaffolded support.
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 focused intervention lesson on constructing circumscribed and inscribed circles of a triangle using perpendicular and angle bisectors.
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 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 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 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 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 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.
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.
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 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.
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 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 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 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 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 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 Tier 2 intervention lesson focused on breaking down density problems through geometric measurement and unit analysis, using structured templates and visual scaffolding.
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 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 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 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.
A high-energy, collaborative first-day activity for 11th-grade math students designed to foster teamwork and problem-solving through a classroom-wide scavenger hunt.
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 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.
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 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 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 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.
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 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.
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.
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-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.
A lesson focused on 3D trigonometry where students derive the space diagonal of a cube and use trigonometric ratios to find the constant angle of elevation, regardless of the cube's side length.
A remedial high school math lesson that bridges the gap between geometric area and algebraic multiplication using the grid method and physical algebra tiles.
A remedial algebra lesson that uses paper-cutting and geometric manipulation to visually prove the Difference of Two Squares formula (A² - B² = (A - B)(A + B)). Students transition from abstract symbols to concrete spatial reasoning.
Students will learn to derive dimensions from given volume or surface area and understand the relationship between a cube's diagonal and its side length through visual proofs and 'reverse' calculations.
A high-school honors geometry lesson focused on transitioning from specific numerical examples to general algebraic proofs through the study of inscribed squares and midpoints. Students will use the Pythagorean theorem and algebraic manipulation to prove that an inscribed square connecting midpoints is always half the area of the outer square.
An advanced geometry lesson where students watch a targeted video segment to derive a general formula for the volume of a hexagonal prism using only side length and height, testing their results against provided examples.
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 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 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.
Focuses on multi-step linear equations involving the distributive property and combining like terms. Uses a 'building blocks' approach to help students visualize the order of operations in reverse.
Students complete a baseline diagnostic assessment to identify specific gaps in prerequisite skills and algebraic reasoning. Teachers analyze results using a specialized error analysis guide to tailor the intervention path.
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 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 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 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 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 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 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 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 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 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 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.
Students explore the geometric representation of complex numbers, connecting the modulus formula to the Pythagorean theorem and distance formula through visualization and practice.
A lesson focused on finding the axis of symmetry of a parabola using the midpoint of its x-intercepts, featuring mental math warm-ups, a guided video analysis, and a 'Symmetry Hunters' practice activity.
A high-school geometry lesson focusing on applying algebraic methods (linear and quadratic equations) to solve for unknown properties of rhombuses. Students will watch a targeted video, participate in a station-based circuit activity, and reflect on the validity of multiple solutions in geometric contexts.
A high-school geometry lesson exploring the intersection of the Altitude on Hypotenuse Theorem and quadratic equations, focusing on algebraic modeling and the rejection of extraneous solutions.
A high school geometry lesson where students derive equations for special segments in triangles (medians, altitudes, perpendicular bisectors) and discover their points of concurrency using coordinate geometry.
A high-school level exploration of coordinate geometry that extends 2D distance concepts into 3D space and introduces the point-to-line distance formula for optimization problems. Students will visualize spatial diagonals and solve real-world distance challenges.
A high school geometry lesson exploring the relationship between circle equations and tangent lines, featuring a video analysis and a competitive group challenge.
A fast-paced review of algebraic graphing skills focusing on the intercept method. Students watch a targeted video segment on non-standard equations and then compete in 'Rapid Fire' sketching rounds.
This lesson focuses on mastering the fraction arithmetic required when calculating equations of perpendicular lines, specifically emphasizing negative reciprocals and finding common denominators for y-intercepts.
A high school geometry lesson focused on understanding and calculating the slopes of perpendicular lines using the negative reciprocal relationship, featuring a 'Slope Hunters' room exploration activity.
