additional is additional mathematics mathematics · additional math is not compulsory for all...
TRANSCRIPT
8/15/2017
1
ADDITIONAL MATHEMATICSADDITIONAL
MATHEMATICS
DUNMAN SECONDARY SCHOOLSECONDARY 2 STREAMING BRIEFING
15 AUG 2017
MS KOH SWEE KUN (HOD/MATH)
DUNMAN SECONDARY SCHOOLSECONDARY 2 STREAMING BRIEFING
15 AUG 2017
MS KOH SWEE KUN (HOD/MATH)
Is Additional Mathematics suitable for me?
Do you aspire to specialise in Mathematics, Science or Engineering disciplines in Polytechnics or Universities that demand a good foundation in Mathematics?
Are you very good in Math and have a strong foundation in Algebra? Sec 2 Algebra is an assumed knowledge in A Math. Having a strong foundation in Algebra is very important as it is the basic skill required in A Math!
Do you love and enjoy solving Math problems?
Do you have a keen interest in Logical Thinking and Arguments? You will need to be able to explain your answers in A Math as required in the syllabus and exams.
8/15/2017
2
Will offering Additional Mathematics increase my
chances to get into JC or Poly?
Requirement for Admission to Junior College: A Level Mathematics
Requirement for Admission to Junior College: A Level Mathematics
Additional Mathematics can be considered as one of the L1R5 subjects for admission to Junior Colleges (JC).
Additional Mathematics is an assumed knowledge for A-Level H2 Mathematics, however different JCs have different criteria in offering H2 Mathematics.
Students without Additional Mathematics usually offers H1 Mathematics in JC
Most JCs require students to have Additional Mathematics at O levels to offer A Level H2 Mathematics
A-Level H2 Mathematics is a pre-requisite knowledge for A-Level H2 Further Mathematics and H3 Mathematics.
Additional Mathematics can be considered as one of the L1R5 subjects for admission to Junior Colleges (JC).
Additional Mathematics is an assumed knowledge for A-Level H2 Mathematics, however different JCs have different criteria in offering H2 Mathematics.
Students without Additional Mathematics usually offers H1 Mathematics in JC
Most JCs require students to have Additional Mathematics at O levels to offer A Level H2 Mathematics
A-Level H2 Mathematics is a pre-requisite knowledge for A-Level H2 Further Mathematics and H3 Mathematics.
Requirement for Admission to Polytechnics
Requirement for Admission to Polytechnics
Additional Math is NOT compulsory for all Polytechnic Courses
Can be included as one of two Relevant Subjects for ELR2B2
(Need only one Mathematics Subject – can be either Elementary Mathematics or Additional Mathematics)
Additional Math is NOT compulsory for all Polytechnic Courses
Can be included as one of two Relevant Subjects for ELR2B2
(Need only one Mathematics Subject – can be either Elementary Mathematics or Additional Mathematics)
Requirement for Admission to Millenia Institute: H2 Math
Requirement for Admission to Millenia Institute: H2 Math
3 Year A-Level Course Offers H1 and H2 Mathematics Check website in Millenia Institute for requirement to offer
H2 Math.
Being with the end in mindBeing with the end in mind
JAE+2017
How is Additional Mathematics
different from Mathematics?
8/15/2017
3
Course AimsCourse Aims
MathematicsMathematics Acquire Math concepts and skills
for continuous learning in Math and to support learning in other subjects
Develop thinking, reasoning, communication, application and metacognitive skills through a mathematical approach to problem-solving
Connect ideas within Math and between Math and other subjects through applications of Math
Build confidence and foster interest in Math
Acquire Math concepts and skills for continuous learning in Math and to support learning in other subjects
Develop thinking, reasoning, communication, application and metacognitive skills through a mathematical approach to problem-solving
Connect ideas within Math and between Math and other subjects through applications of Math
Build confidence and foster interest in Math
Additional MathematicsAdditional Mathematics Acquire Math concepts and skills
for higher studies in Math and to support learning in the other subjects, in particular, the Sciences;
Develop thinking, reasoning and metacognitive skills through a mathematical approach to problem-solving
Connect ideas within Math and between Math and the Sciences through applications of Math
Appreciate the abstract nature and power of Mathematics.
Acquire Math concepts and skills for higher studies in Math and to support learning in the other subjects, in particular, the Sciences;
Develop thinking, reasoning and metacognitive skills through a mathematical approach to problem-solving
Connect ideas within Math and between Math and the Sciences through applications of Math
Appreciate the abstract nature and power of Mathematics.
What are being taught in Additional Mathematics?
Syllabus OrganisationSyllabus Organisation
MP1: Reasoning, Communication and ConnectionMP2: Application and ModellingMP3: Thinking Skills and Heuristics
• A strong foundation and proficiency in algebra is the key to further learning in Math
• Topics such as Indices and Surds, Binomial Expansions and Partial Fractions lay the foundation for the learning of more advanced Mathematics where algebraic manipulation skills are essential.
Topics covered under each strandTopics covered under each strand
Algebra
• Equations & Inequalities
• Indices & Surds• Polynomials &
Partial Fractions• Binomial
Expansions• Power,
Exponential, Logarithmic, and Modulus Functions
Geometry & Trigonometry
• Trigonometric functions, identities and equations
• Coordinate Geometry in two dimensions
• Proofs in Plane Geometry
Calculus
• Differentiation & Integration
Learning & Assessment EmphasisLearning & Assessment Emphasis
Questions in examinations requiring students to “Prove”, “Determine with explanations”, “Explain”, “Justify” and “Deduce”.
Contextual questions (real world or scientific contexts) that assess aspects of the Mathematical Modelling process.
Questions in examinations requiring students to “Prove”, “Determine with explanations”, “Explain”, “Justify” and “Deduce”.
Contextual questions (real world or scientific contexts) that assess aspects of the Mathematical Modelling process.
Mathematical Reasoning
Ability to analyse mathematical situations and construct logical argumentsDeveloped through application of mathematics in different contexts
Communication Ability to use mathematical language to express mathematical arguments precisely, concisely and logically
Connections Ability to see and make meaningful linkages among mathematical ideas, between mathematics and other subjects, and between mathematics and the real world
How are the questions in Add Math different from
Math or past years Add Math exams?
8/15/2017
4
Example of Algebra Questions in Lower Sec Math, Sec 3 Math vs Additional MathExample of Algebra Questions in Lower
Sec Math, Sec 3 Math vs Additional Math
In Secondary 2… In Secondary 2…
Example of Algebra Questions in Lower Sec Math, Sec 3 Math vs Additional MathExample of Algebra Questions in Lower
Sec Math, Sec 3 Math vs Additional Math
In Secondary 3 Math…
In Secondary 3 Add Math… In Secondary 3 Add Math…
Example of Algebra Questions in Lower Sec Math, Sec 3 Math vs Additional MathExample of Algebra Questions in Lower
Sec Math, Sec 3 Math vs Additional MathExample of Trigonometry in
Sec 3 Math vs Add MathExample of Trigonometry in
Sec 3 Math vs Add Math In Secondary 3 Math… In Secondary 3 Math…
In Secondary 3 Add Math… In Secondary 3 Add Math…
Example of Trigonometry in Sec 3 Math vs Add Math
Example of Trigonometry in Sec 3 Math vs Add Math
In Secondary 3 Add Math… In Secondary 3 Add Math…
Example of Trigonometry in Sec 3 Math vs Add Math
Example of Trigonometry in Sec 3 Math vs Add Math
8/15/2017
5
In Secondary 3 Add Math… In Secondary 3 Add Math…
Example of Trigonometry in Sec 3 Math vs Add Math
Example of Trigonometry in Sec 3 Math vs Add Math
Example of a Proof in Plane Geometry question where Add Math students are
required to write out proofs
Example of a Proof in Plane Geometry question where Add Math students are
required to write out proofs
Example of an Add Math Calculus question that requires Algebraic Manipulation to solveExample of an Add Math Calculus question
that requires Algebraic Manipulation to solveExamples of Add Math Calculus questions
that require students to “Deduce”, “Explain”Examples of Add Math Calculus questions
that require students to “Deduce”, “Explain”
Example of a Contextual Question in Specimen Paper for Add Math
Example of a Contextual Question in Specimen Paper for Add Math What should I do to be
well-prepared for the rigour of Additional Mathematics?
8/15/2017
6
Must be Willing to Work Hard and do
a lot of practice questions
Is Attentive in class and Takes Initiative
to clarify doubts and seek help from
Math teacher
Requires Minimal Supervision to Work Hard in Math and to
Complete All the Assignments given by
Math teacher
Has High Level of Perseverance and
Determination. Must not give up and
must keep trying to solve the Math problems
Secondary 3 Normal Academic students offering N(A) Level Additional Mathematics
& O Level Mathematics
Secondary 3 Normal Academic students offering N(A) Level Additional Mathematics
& O Level Mathematics
Normal Academic students being offered O Level Mathematics
Normal Academic students being offered O Level Mathematics
Sec 3 NA Students
Additional Math & O Level (Express)
Math
N Level Math(No Additional
Math)
Did well for Sec 3 NA Math and
meet criteria
Take N Level Math in
Sec 4 NAOffered O
Level Math in
Sec 4 NA
Take BOTHN- and O-Level Math
in Sec 4 NA