Course review
Review each learning objective in this topic, then open its concept explanation or question set.
Learning objective
• Use gradient, intercepts and forms of a straight line. • Know parallel gradients m1=m2 and perpendicular gradients m1m2=-1.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Understand function, domain, range, graph and function notation. • Interpret functions as mathematical models. • Inverses undo functions, reflect in y=x and exist for one-to-one functions.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Draw/sketch graphs from equations, contexts or technology. • Label axes and key features, including sums and differences of functions.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Determine maxima, minima, intercepts, symmetry, vertex, roots/zeros and asymptotes. • Use technology to find intersections of curves or lines.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Use composite functions (f o g)(x)=f(g(x)). • Find inverse functions and use (f o f^-1)(x)=x for one-to-one functions.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Use standard, factorized and vertex forms of quadratic functions. • Interpret y-intercept, x-intercepts, axis of symmetry and vertex. • Convert between quadratic forms.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Solve quadratic equations and inequalities by factorization, completing the square and formula. • Use discriminant Delta=b^2-4ac to determine nature of roots.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Graph f(x)=1/x and rational functions of the form (ax+b)/(cx+d). • Include vertical/horizontal asymptotes and axis intercepts.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Graph exponential functions a^x and e^x. • Graph logarithmic functions log_a(x) and ln x. • Understand exponential and logarithmic functions as inverses.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Solve equations graphically and analytically. • Use technology when no suitable analytic method exists; apply to real contexts.
Start with the concept explanation, then practise to create mastery evidence.
Learning objective
• Apply translations, reflections and vertical/horizontal stretches. • Understand order of transformations and composite transformations. • At SL, transformations of f(ax+b) are not required.
Start with the concept explanation, then practise to create mastery evidence.