In this online lesson, students will reflect on their Grade 12 math course experience and provide constructive feedback using tools like short surveys, guided prompts, and optional group discussion boards. The lesson may include visual prompts, interactive polls, and a brief video segment to model strong, respectful feedback. This supports students’ mathematical development by strengthening their ability to communicate clearly and provide useful insights that improve learning and teaching methods (Gathering insights for course improvement).
In this online lesson, students will share and celebrate their final collaborative math projects by presenting how their group applied key ideas, solved problems, and communicated reasoning. Through interactive reflection prompts and discussion tools (such as video clips, shared slides, or virtual discussion boards), students will explain real-world applications of their work and recognize individual contributions within a team. This lesson supports students’ mathematical development by strengthening collaborative learning through clear communication, critique of reasoning, and shared problem-solving.
In this online lesson, students explore what changes (and what stays the same) when moving from high school math to university-level mathematics, focusing on study skills, campus resources, and mindset shifts that support success. Through short videos, visual guides, and interactive elements like an “Interactive Q&A” segment, students will unpack common expectations in college math—such as taking initiative, learning from mistakes, and using office hours effectively—while connecting these habits to real applications. This lesson supports students’ mathematical development by preparing for future learning with practical strategies for confidence, independence, and long-term growth.
In this online lesson, you’ll complete a comprehensive final assessment that integrates the major concepts and skills from Weeks 1–35, including conceptual understanding, procedural fluency, and real-world applications. The assessment may include visual supports, interactive review moments, and video-based explanations to help you show what you know across the full year of Grade 12 math. This lesson supports your mathematical development by helping you evaluate and demonstrate mastery of the curriculum.
In this online Grade 12 lesson, students will take part in interactive end-of-course activities that celebrate their growth in mathematics—reflecting on achievements, sharing highlights, and recognizing progress through a class celebration or recognition event. The lesson may include visual aids, video-based messages, digital certificates, and simple interactive elements that help students look back on their learning journey. This experience supports students’ mathematical development by reinforcing confidence and motivation through celebrating achievements.
In this online lesson, you’ll work through personalized practice focused on the specific skills and topics you most need to reinforce, using targeted problem sets and guided examples. The lesson may include visual aids, interactive elements, and short video-based explanations to help you revisit key ideas, try strategies, and apply them to real problems. This lesson supports your mathematical development by strengthening your understanding and confidence through addressing individual needs.
In this online lesson, you’ll reflect on your calculus learning journey through Reflection Basics, Interactive Feedback, and Applications Explained—looking back on key insights, challenges, and successes from the year. You may use short videos, visual prompts, and interactive reflection activities to help you organize your thinking and communicate your growth. This lesson supports your mathematical development by strengthening your ability to reflect on the learning journey, set goals, and connect your progress to how you learn mathematics.
In this online lesson, you’ll explore real-world career paths where calculus is a core tool—such as engineering, data science, economics, and other STEM fields—and see how concepts like rates of change and optimization show up in everyday professional decisions. Through video-based examples, visual aids, and interactive elements, you’ll connect calculus skills to job tasks like modeling systems, analyzing data, and improving designs. This lesson supports your mathematical development by helping you explore career paths in STEM and understand why calculus matters beyond the classroom.
In this online lesson, you’ll explore how key calculus ideas continue into university-level math and related fields, and what “next-step” courses tend to emphasize. Using examples from advanced topics such as real analysis, abstract algebra, and engineering mathematics, you’ll see how higher education builds deeper reasoning, proof, and applications from what you already know. This lesson uses video-based explanations and interactive resources to support your mathematical development through exploring calculus in higher education.
In this online assessment lesson, you will solve integrated problems that bring together advanced differential equations, Laplace transforms, and Fourier series skills from Week 25. Using test-style questions, interactive review elements, and targeted practice problems (with visuals or video-based support as needed), you’ll demonstrate conceptual understanding and procedural fluency across the unit. This lesson supports your mathematical development by evaluating your understanding of Week 25 topics and helping identify where reteaching or extra practice will strengthen mastery.
In this online Grade 12 lesson, students will explore the basics of Fourier series by expressing periodic functions as sums of sines and cosines and examining the formulas used to compute Fourier coefficients. Through visual aids, interactive examples, and video-based demonstrations, students will see how Fourier series approximate periodic behavior and why this matters in physics and engineering. This lesson supports students’ mathematical development by strengthening their ability to represent periodic functions in powerful, flexible ways.
In this online lesson, students will apply Laplace transforms to solve initial value problems involving differential equations, including second-order examples such as
with given initial conditions. Using video-based walkthroughs, visual step-by-step transforms, and interactive practice, students will explore how transforming to the -domain makes solving and applying initial conditions more efficient. This lesson strengthens students’ mathematical development by building confidence and accuracy in solving differential equations with initial conditions using Laplace transforms.
In this online lesson, students will explore the definition of the Laplace transform and practice using common transforms (including
) to rewrite and simplify differential equations. Through visual aids, guided examples, and interactive practice, students will see how transforming a DE into an algebraic equation can make solving faster and more systematic. This lesson supports students’ mathematical development by strengthening their ability to transform differential equations into forms that are easier to analyze and solve.
In this online Comprehensive Course Review Assessment, students will demonstrate mastery by solving problems that integrate the key concepts and skills learned across Weeks 1–34, including algebraic reasoning, functions, modeling, statistics, and geometry topics addressed throughout the course. The lesson experience may include visual supports, interactive review elements, and video-based refreshers to help students recall strategies before completing a full comprehensive test. This assessment supports students’ mathematical development by evaluating understanding of the entire curriculum and identifying strengths and growth areas for targeted improvement.
In this online lesson, students will solve integrated, multi-step problems that pull together key ideas from the full course—especially differential equations, multivariable calculus, and real-world applications. Through interactive review activities (with visuals, guided examples, and video-based explanations), students will revisit core methods and connect them across topics to prepare for final assessments. This lesson strengthens students’ mathematical development by building confidence and accuracy in preparing for final assessments.
In this online lesson, students explore how calculus models and explains real systems by working through interdisciplinary case studies in biology and economics. You’ll investigate scenarios such as modeling population growth, optimizing resource allocation, and analyzing social systems using calculus-based reasoning, supported by visual aids, interactive elements, and video-based explanations. This lesson strengthens your mathematical development by deepening your ability to connect calculus concepts to biology, economics, and other sciences.
In this online lesson, you’ll explore how core calculus ideas power real machine learning workflows by examining case studies like gradient descent and predictive modeling. Through visuals, short videos, and interactive elements, you’ll connect derivatives and optimization to how algorithms “learn” from data. This lesson supports your mathematical development by strengthening your ability to apply calculus to machine learning in realistic modeling and optimization contexts.
In this online lesson, students will explore how curvature, torsion, and geodesics describe the “shape” of curved spaces and the idea of shortest paths on surfaces. Using visual aids, interactive examples, and video-based learning, learners will investigate geodesics on familiar surfaces like spheres and extend their thinking to curved models such as hyperbolic planes. This lesson strengthens students’ mathematical development by supporting deeper problem-solving about curvature and shortest paths.
In this online lesson, you’ll prepare and deliver a formal showcase of your cumulative, interdisciplinary calculus project—highlighting how advanced calculus tools help solve a real-world problem. Using presentation basics, interactive speaking strategies, and clear application explanations, you’ll refine how you communicate your methods, results, and reasoning with visuals and video-supported elements. This lesson supports your mathematical development by strengthening your ability to present solutions to real-world problems using advanced calculus.
In this online lesson, students will showcase their final projects by presenting solutions to comprehensive real-world problems using calculus, drawing on concepts from across the entire course. Students will share their reasoning, models, and conclusions through video-based presentations and/or interactive visual aids, then receive feedback from peers, teachers, and invited community reviewers. This lesson supports students’ mathematical development by strengthening their ability to communicate and defend cumulative projects through clear, accurate, and persuasive presentation of mathematical thinking.