Support · Mathematics Extension 1 11–12 – Year 12 · Introduction to vectors
Support Define a⋅b = x_1x_2 + y_1y_2 as the scalar (dot) product of vectors a = x_1i + y_1j and b = x_2i + y_2j and use the scalar product to solve problems
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
Identify and apply the product, quotient or chain rule, or a combination of the rules, as appropriate to differentiate a given function
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
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.
Apply the product rule: if y = uv, where u and v are both differentiable functions of x, then dy/dx = udv/dx + vdu/dx or if h(x) = f(x)g(x) for differentiable functions f(x) and g(x) then h'(x) = f(x)g'(x) + f'(x)g(x)
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.