Vector properties, magnitudes, and algebraic operations including addition and scalar multiplication. Introduces matrix representations, arithmetic, and computational techniques for solving linear systems.
A slide deck for 11th-grade students that visually bridges algebraic and graphical complex number operations. It features embedded instructional videos, clear coordinate plane diagrams, and step-by-step vector addition guides.
A student worksheet designed to help visualize complex number addition and subtraction as vector operations. It provides coordinate planes for graphing the specific examples from the video to verify algebraic solutions.
A comprehensive teacher's guide for the Vector Vision lesson, featuring a timed pacing guide, standards alignment, and instructional strategies for bridging algebraic and graphical complex number operations.
Teacher reference guide containing answer keys, instructional strategies, and a step-by-step matrix calculator guide for solving systems of equations.
Student worksheet featuring practice problems for solving radii of mutually tangent circles using systems of equations. Includes a closure task on impossible geometric cases.
Visual slide deck for a lesson on solving systems of equations derived from tangent circle geometry. Includes the warm-up, video connection, and core theorem.
Answer key for the Modulus Mapping Worksheet, containing complete calculations and simplified radical results for all problems.
A comprehensive facilitator's guide for the Complex Origins lesson, including pacing, discussion prompts, and instructional tips for teaching the modulus of complex numbers.
A specialized graph paper with two large, dense coordinate grids (30x30 sub-squares) designed for plotting complex numbers with varied scales. Includes space for student-defined scales and axis labels.
A structured worksheet for Pre-Calculus students to practice calculating and visualizing the modulus of complex numbers, including practice with Pythagorean triples and irrational results.
Interactive lesson slides for Pre-Calculus on visualizing the modulus of complex numbers, including a YouTube video embed and conceptual bridges to geometry.
An exit ticket for an 11th-grade math lesson on vectors, requiring students to calculate the ground speed and bearing of a plane given specific airspeed and wind conditions.
A grading rubric for the "Data Containers" project. It evaluates students on conceptual abstraction of n-dimensional vectors, accuracy in modeling linear combinations, computational precision, and the depth of their critical reflection on linear algebra's role in data science.
A comprehensive slide deck for 11th-grade math covering vector addition in navigation, including a warm-up compass drill, an embedded instructional video, and guided practice on river currents and bearings.
A student worksheet for an undergraduate linear algebra lesson focusing on vectors as data containers. It includes a spreadsheet hook, video-guided notes on n-dimensional vectors, and a "Nutrition Ledger" project where students apply linear combinations to real-world data.
Reflection exit ticket for the Vector Voyage lesson. Students identify component form from a graph and explain the significance of component order.
Student activity sheet for 'Vector Battleship', featuring secret and radar grids for plotting displacements and a log table for tracking shots.
A facilitation guide for teachers leading the 'Robot Vector Commands' lesson. Includes floor setup instructions for the tape grid, activity facilitation tips, and a complete answer key for the student navigation log.
An answer key and teacher facilitation guide for the Linear Combination Challenge lesson, providing step-by-step solutions for the physics problems.
Visual presentation for the Vector Voyage intro lesson, featuring learning objectives, the Directions Game, an embedded video, and instructions for Vector Battleship.
An answer key for the Navigator's Logbook Worksheet, providing step-by-step vector calculations and final bearing results for the maritime course activity.
A set of three role-play scenarios where students practice giving and following navigational bearing commands while avoiding the "standard angle" trap.
Instructional slide deck for the 'Vector Value Analysis' lesson. Includes a warm-up, embedded YouTube video case study, activity instructions for 'The School Store', and discussion prompts.
A set of six printable discussion cards exploring the mathematical and real-world implications of bearings versus standard angles, intended for group debriefing.
A nautical-themed worksheet for plotting a 3-leg maritime course using bearings and calculating the resultant vector for a return trip.
Facilitation guide for teachers including standards, materials, a detailed 45-minute lesson sequence, and a complete answer key for the 'Vector Value Analysis' worksheet.
A nautical-themed slide deck for a 10th-grade math lesson on bearings and vectors, including instructions for a Simon Says warm-up, a video embed, and activity instructions.
Student worksheet for 11th Grade Pre-Calculus focusing on real-world dot product applications. Includes a warm-up, video guide for the Mia's Catering example, and a collaborative 'School Store' activity. Updated with improved spacing and visual cues.
An answer key for the 'Model Mechanics' lesson, providing full step-by-step solutions for the warm-up, video notes, and matrix inverse calculations.
A professional slide deck for 'Model Mechanics' including a title slide, lesson objectives, an embedded YouTube tutorial, and step-by-step matrix calculator instructions.
A multi-part student worksheet for 'Model Mechanics', featuring a warm-up exercise, video guided notes for 3x3 systems, a matrix method extension, and a calculator quick-start guide.
A comprehensive teacher lesson plan for 'Model Mechanics', detailing learning objectives, vocabulary, material lists, and a step-by-step pacing guide with specific instructional timestamps and prompts.
A comprehensive teacher guide for the 'Determinant Duel' lesson, including a timed pacing guide, key instructional prompts, common student misconceptions, and a master answer key for all Battle Matrices.
Teacher implementation guide for the Polygon Surveyors lesson, including pacing, answer keys for video notes, and activity facilitation tips.
The complete answer key for the Row Rivalry worksheet, showing step-by-step calculations for both Row 1 and Row 2 expansions of the matrix.
Teacher's guide and answer key for 'Project Land Plot'. Includes fully worked matrix solutions for each triangle in the survey and pedagogical notes for 12th-grade synthesis.
Discussion prompts on cards to facilitate student reflection on the common errors and strategic advantages when calculating determinants using cofactor expansion.
A sleek, high-energy presentation deck for the 'Determinant Duel' lesson, featuring the efficiency hook, the Rule of Sarrus video embed, and visual guides for the 'Method Battle' and final discussion.
Instructional slides for the Polygon Surveyors lesson, featuring objective setting, a warm-up, an embedded video tutorial, and activity instructions.
A visual presentation deck for teaching 2x2 determinants, featuring instructional goals, the embedded lesson video, geometric visualizations of the determinant as area, and prompts for the "Cracking the Code" activity.
Student activity sheet for 'Project Land Plot'. Students use 3x3 determinants to find the area of an irregular hexagonal plot of land through triangulation.
A collaborative worksheet where pairs of students calculate the determinant of a 3x3 matrix using different row expansions to verify the consistency of the cofactor method.
A visual presentation for teaching 3x3 determinants using cofactor expansion, including embedded video pause points, the checkerboard pattern, and activity instructions.
Large, high-contrast voting cards for students to choose their preferred method (Sarrus or Cofactor) after the Method Battle activity. Designed to be visible from across the classroom.
A concise exit ticket evaluating students' conceptual understanding of why determinants require square matrices and their computational ability to solve a 2x2 determinant, including its geometric application.
