one-sided handwritten mind map that summarizes all of the course information in advanced functions MHF4U Unit 1) polynomial functions, Unit 2) Factor theorem and Inequalities Unit 3) Logarithmic and Exponential Function. Unit 4) Trigonometry in Radians Unit 5) Trigonometric Identities Unit 6) Rates of Change Unit 7) Rational Functions Heres an example of a mind map for rational expressions from grade 11 function. You need to do that for 7 units on one page. Add small images if relate to content. Rule: cross multiplication of fractions only happens! when we have an equal Sign Multiplying Dividing STATE 2x 2x-4x2 V&8x3 X#O ALWAYS must find Common RESTRICTIONS! denominator when dividing -facton -State restrictions - cancel common factors -multiply top & bottom restrictions flip 2nd after restrictions -get common denominator -expand numerators -add or subract Simplify, restrictions Adding/Subtracting ab+2-(ab+Zab) distribute (-) Rule: we can NOT cancel out when (+)or (-) fractions Unit 2 Rational Expressions ys bb -& Statement & Y Rule: we can cancell I Out ONLY when multiplying fractions apolu Xarb Powerofa Power xa-b xb Quotient * ( xo.xb Exponent Rules product Rational Exponents negative bottom/ index top # x-a zero Sany power = 1, expect zero