Vector algebra and geometry in two dimensions, leading to projectile motion as a vector application.
These are the statements the Mathematics Extension 1 syllabus makes about Vectors. Dux records each one against the questions you answer, so you can see which of them you have actually been tested on and which have never been asked.
Vector notation, addition, scalar multiplication, magnitude and direction, and resolving a vector into components.
The dot product, angles between vectors, projection and perpendicularity, and their geometric consequences.
Resolving initial velocity, deriving the trajectory from the equations of motion, and interpreting the range and maximum height.
Proving geometric results with vector algebra rather than coordinates, including collinearity, parallelism and ratios.
Three-dimensional vectors, angles and projections, and representing lines in space.
HSC Mathematics Extension 1 - Trial Paper Shape is 70 marks in 120 minutes. Questions on Vectors are not one shape repeated: the command word decides what the marker is looking for, and the mark value decides how much of it. These are the ones Mathematics Extension 1 uses.
Dux writes practice for this module in exactly these shapes, so the drill is the same task the paper sets — not a general knowledge quiz with the module name on it.
Vectors is module 5 of 6 in Mathematics Extension 1. Students routinely lose marks because a question spans two modules, so the neighbouring modules are worth reading next to this one.
Dux diagnoses Mathematics Extension 1 dot point by dot point, then writes questions in the shape this course marks. Written answers come back marked against the bands.