Page 4 - Ranger SPM 2022 - Additional Mathematics
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Formulae .................................................vi–viii
Form 4 4 Indices, Surds and
Logarithms 45
1 Functions 1
Concept Map ..............................................45
Concept Map .................................................1 4.1 Laws of Indices .............................46
1.1 Functions ........................................... 2 4.2 Laws of Surds ................................47
1.2 Composite Functions ....................... 5 4.3 Laws of Logarithms .......................51
1.3 Inverse Functions ........................... 7 4.4 Applications of Indices, Surds
Mastery SPM ............................................... 8 and Logarithms ..............................55
Example of HOTS Question ................. 11 Mastery SPM .............................................55
SPM Practice ..............................................12 Example of HOTS Question ................57
SPM Practice .............................................59
2 Quadratic Functions 14
Concept Map ...............................................14 5 Progressions 61
2.1 Quadratic Equations and
Inequalities ......................................15 Concept Map ...............................................61
2.2 Types of Roots of Quadratic 5.1 Arithmetic Progressions ..............62
Equations ..........................................18 5.2 Geometric Progressions ...............66
2.3 Quadratic Functions ......................19 Mastery SPM .............................................70
Mastery SPM .............................................27 Example of HOTS Question .................71
Example of HOTS Question ................28 SPM Practice .............................................73
SPM Practice .............................................29
3 Systems of Equations 33 6 Linear Law 77
i-THINK Gallery.......................................33 Concept Map ..............................................77
3.1 Systems of Linear Equations in 6.1 Linear and Non-Linear
Three Variables .............................34 Relations ..........................................78
3.2 Simultaneous Equations involving 6.2 Linear Law and Non-Linear
One Linear Equation and One Relations ...........................................81
Non-Linear Equation ....................37 6.3 Applications of Linear Law .........82
Mastery SPM .............................................39 Mastery SPM .............................................84
Example of HOTS Question .................41 Example of HOTS Question ................86
SPM Practice .............................................43 SPM Practice .............................................87
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0a Content Ranger Mate Tambahan SPM.indd 3 25/02/2022 9:04 AM

