Grade 12 Calculus and Vectors – Derive, Solve & Navigate

Categories Grade 12, Mathematics

Understand limits, continuity, and the derivative as a rate of change.
Apply differentiation to solve motion, slope, and optimization problems.
Analyze and sketch graphs using derivative features.
Perform vector operations and solve problems in 2D and 3D space.
Use vectors to model real-world applications including navigation and physics.
Build readiness for university calculus, engineering, and physics.

Course Curriculum

Topic 1: Introduction to Limits and Continuity

Topic 2: Derivatives of Functions – Rules & Techniques

Topic 3: Applications of Derivatives – Optimization & Curve Sketching

Topic 4: Related Rates and Motion Problems

Topic 5: Introduction to Vectors and Vector Notation

Topic 6: Operations with Vectors in 2D and 3D

Topic 7: Lines, Planes & Vector Equations

Topic 8: Scalar & Vector Projections – Geometry of Space

Topic 9: Problem Solving with Vectors and Derivatives

Topic 10: Review and Preparation for University Calculus

Subscriptions

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$45.00

Choose plan

Starter (1 Session)

$45.00 / Month

Foundational (4 Sessions)

$171.00 $180.00 / Month

Focused (8 Sessions)

$324.00 $360.00 / Month

Elevated (12 Sessions)

$459.00 $540.00 / Month

Enrollment validity

Enrollment validity: Lifetime

Grade 12 students pursuing university-level STEM programs.
Learners preparing for Calculus I at the post-secondary level.
Students who completed MHF4U (Advanced Functions).
Online learners needing structured, expert-led instruction.
Families seeking academic advancement through flexible online math tutoring.

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