Support · Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors
Support Verify the equivalence of a⋅b = (a)(b)cosθ with the algebraic definition of the scalar product, a⋅b = x_1x_2 + y_1y_2 for two dimensions and a⋅b = x_1x_2 + y_1y_2 + z_1z_2 for three dimensions
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Expand and simplify a variety of algebraic expressions including binomial products and the special products
Stage 5 · Algebraic techniques C (Path) Draft mapping
- Corbettmaths practice questions: Algebra: expanding three bracketsUse it for: Free printable graded practice questions (with answers) on algebra: expanding three brackets for drill or a quick check.
- VideoStarterCorbettmaths video: Algebra: expanding three bracketsUse it for: Short worked-example video on algebra: expanding three brackets to model the method before practice or for flipped revision.
Graph y = f^'(x) for a given graph of a function y = f(x)
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Use the notation dy/dx and y' for the derivative of y when y is a function of x
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.