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Mathematics

Introduction

The Mathematics Department aims to enthuse and empower students to learn and use mathematics in future engagements. We seek to develop confident and competent, self-directed learners and users of mathematical problem solving in the 21st Century. 
 
Student Outcomes

The Additional Mathematics Syllabus aims to enable students who have an aptitude and interest in mathematics to:
  • Acquire mathematical concepts and skills for higher studies in mathematics and to support learning in the other subjects, in particular, the sciences;
  • Develop thinking, reasoning and meta-cognitive skills through a mathematical approach to problem-solving;
  • Connect ideas within mathematics and between mathematics and the sciences through applications of mathematics; and
  • Appreciate the abstract nature and power of mathematics.

The Mathematics Syllabus aims to enable all students to:
  • Acquire mathematical concepts and skills for continuous learning in mathematics 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 mathematics and between mathematics and other subjects through applications of mathematics; 
  • Build confidence and foster interest in mathematics.

The N(T) Mathematics Syllabus aims to enable students who are bound for post-secondary vocational education to:
  • Acquire mathematical concepts and skills for real life, to support learning in other subjects, and to prepare for vocational education; 
  • Develop thinking, reasoning, communication, application and metacognitive skills through a mathematical approach to problem solving; and 
  • Build confidence in using mathematics and appreciate its value in making informed decisions in real life.

Assessment Criteria

Lower Sec Math

Level/Stream

Duration

Marks Allocation

Sec 1 and 2 Express

Paper 1 (No Calculator)

1 hour

 

Paper 2

1hour 30 min

40 marks

 

 

60 marks

Sec 1 and 2 N(A)

Paper 1 (No Calculator)

1 hour

 

Paper 2

1hour 30 min

40 marks

 

 

60 marks

Sec 1 and 2 N(T)

1 hour 15 mins

60 marks


Upper Sec Math

Level/Stream

Duration

Marks Allocation

Sec 3 Additional Mathematics

2 hours

80 marks

Sec 3 Express Mathematics

2 hour 30 min

100 marks

Sec 3 N(A) Mathematics

2 hour 30 min

100 marks

Sec 3 N(T) Maths

1 hour 30 mins

60 marks

Sec 4 and 5 Express Maths

Paper 1 (2 hours)

Paper 2 (2 hours 30 mins)

80 marks

100 marks

Sec 4 and 5 Additional Maths

Paper 1 (2 hours)

Paper 2 (2 hours 30 mins)

80 marks

100 marks

Sec 4 N(A) Maths

Paper 1 (2 hours)

Paper 2 (2 hours)

80 marks

80 marks

Sec 4 N(T) Maths

Paper 1 (1 hour 30 mins)

Paper 2 (1 hour 30 mins)

50 marks

50 marks

GCE Exam Format

Strands

Paper 1

Paper 2

EM

There will be about 25 short answer questions. 

 

Candidates are required to answer all questions.

There will be 10 to 11 questions of varying marks and 

lengths. 

 

Candidates are required to answer all questions.

NM

There will be about 25 short answer questions. 

 

Candidates are required to answer all questions.

There will be 2 sections: 

 

·  Section A will contain 9 to 10 questions of 

    varying lengths. Candidates are required to 

    answer all questions.

·  Section B will contain 2 questions of which 

    candidates will be required to answer only 

    one.

 

The questions in Section B will be based on the underlined content and there will be one question from the ‘Geometry & Measurement’ strand and one from the ‘Statistics & Probability’ strand. 

 

Each question carries the same number of marks, that is, either 7 or 8 marks.

TM

There will be 11 to 13 short questions carrying 2 to 4 marks, largely free from context, testing more on fundamental concepts and skills, followed by 2 longer questions carrying 6 to 8 marks, developed around a context. 

 

Candidates are required to answer all questions which will cover topics from the following strands

·         Number and Algebra

·         Geometry and Measurement

·         Real-world Contexts related to Number and Algebra and Geometry and Measurement

There will be 11 to 13 short questions carrying 2 to 4 marks, largely free from context, testing more on fundamental concepts and skills, followed by 2 longer questions carrying 6 to 8 marks, developed around a context. 

 

Candidates are required to answer all questions which will cover topics from the following strands

·  Number and Algebra

·  Geometry and Measurement

·  Real-world Contexts related to Number and 

    Algebra and Geometry and Measurement

AM

There will be 11 to 13 questions of varying marks and lengths. 

 

Candidates are required to answer ALL questions.

There will be 9 to 11 questions of varying marks and lengths. 

 

Candidates are required to answer ALL questions.


ICAN

In reaching out to the under-achievers in a Mathematics class, the ICAN principles were adopted this year in the Normal Technical and Normal Academic classes to better meet these students’ needs.

Using the 8 Principles as a guide, the teacher carefully designs his/ her teaching package to deliver a more effective lesson. The lesson may comprise of good learning experiences such as the use of manipulatives and focus on a real-life context. 

The unique feature of the ICAN framework is the mentoring aspect. The mentor who is assigned to the teacher will provide feedback on the lesson design, sits in for the lesson observation and conducts the post lesson conference. During the post lesson conference, students’ learning gaps or misconceptions that were observed would be discussed further. 

Although this project requires massive manpower and careful deployment, it has been worthwhile as both the teachers and students have benefitted much from it. 

Students’ feedback on the lessons was encouraging while teachers felt that they became more reflective and effective in delivering a good lesson. 

In reaching out to the under-achievers in a Mathematics class, the ICAN principles were adopted this year in the Normal Technical and Normal Academic classes to better meet these students’ needs.

Using the 8 Principles as a guide, the teacher carefully designs his/ her teaching package to deliver a more effective lesson. The lesson may comprise of good learning experiences such as the use of manipulatives and focus on a real-life context. 

The unique feature of the ICAN framework is the mentoring aspect. The mentor who is assigned to the teacher will provide feedback on the lesson design, sits in for the lesson observation and conducts the post lesson conference. During the post lesson conference, students’ learning gaps or misconceptions that were observed would be discussed further. 

Although this project requires massive manpower and careful deployment, it has been worthwhile as both the teachers and students have benefitted much from it. 

Students’ feedback on the lessons was encouraging while teachers felt that they became more reflective and effective in delivering a good lesson. 

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Online Resources

Our department utilises mathematics e-Portals for definitions, video lessons, demonstrations, quick facts, practice questions, MCQs and immediate feedback...

Forget the M@THs, just click away and have FUN. Beat some of the following games if you can. Click on the following links and be led to a world of Mathematical Online Fun.

SNThe LinksWhat You Will FindThe Maths
1.AntarcticaBundle up tight! This hunt takes you to ice-covered regions where key information needs to be excavated before you can crack challenging math problems.
  • Converting Units of Measurement
  • Decimals & Percentages
  • Multiplication/Division
  • Ratio & Proportion
  • Understanding Number Systems 
2.Creepy CrawliesRoaches! Beetles! Bloodsucking leeches! Grab your bug spray for this hunt! And try not to crush the critters as you crunch the numbers to solve each question.
  • Algebraic Expressions: Order of Operations
  • Converting Units of Measurement
  • Fractions 
  • Multiplication/Division
3.Early AmericaHold on to your tentacles -- we're going back in time. From Columbus to the founding of America, we'll track down facts about our forefathers to solve historic math problems.
  • Addition/Subtraction
  • Decimals & Percentages
  • Fractions : Multiplication with Fractions
  • Ratio & Proportion
  • Symmetry
4.Earth DayHow can you help preserve the planet? Find out as we unearth facts to solve environmentally themed math questions -- and rack up wild scores!
  • Addition/Subtraction
  • Decimals & Percentages
  • Fractions : Writing and reducing fractions
  • Multiplication/Division
  • Ratio & Proportion
5.Endangered AnimalsDo you realize that many species are in danger of becoming extinct? Meet some of these exceptional animals as we hunt down information to solve math word problems.
  • Addition/Subtraction
  • Decimals & Percentages
  • Multiplication/Division
  • Ratio & Proportion
6.Extreme WeatherBrave the elements with me to investigate wild Web sites. Learn about meteorology while tracking down clues to blow away challenging math problems.
  • Addition/Subtraction
  • Charts and Graphs
  • Converting Units of Measurement: Converting Units of Time
  • Decimals & Percentages
  • Multiplication/Division
  • Ratio & Proportion
7.Human BodyThis hunt will get under your skin! Find out about your own amazing body on this fact-finding mission. Then use your extraordinary brain power to solve math problems.
  • Addition/Subtraction
  • Charts and Graphs
  • Combinations and Permutations
  • Converting Units of Measurement: Converting Units of Time
  • Fractions : Multiplication with Fractions
  • Multiplication/Division 
8.Natural DisastersOur true problem-crunching powers are put to the test in this volcano-blasting, earth-quaking, ocean-crashing hunt. Stay alert as we search for solutions to math questions.
  • Addition/Subtraction
  • Converting Units of Measurement: Rate of travel
  • Decimals & Percentages
  • Reading a Map Scale 
9.Outer SpaceShoot for the stars as you push your math skills to the limits. Search the cosmos for answers to out-of-this-world math problems and watch your score blast off.
  • Addition/Subtraction
  • Converting Units of Measurement
  • Fractions 
  • Numerical Sequences: Calculating with negative numbers
10.RainforestDeep in the earth's fertile ecosystems lurk the facts we need to solve our next hunt. Dig up the data you need to correctly calculate answers to these math challenges.
  • Averages
  • Converting Units of Measurement
  • Decimals & Percentages
  • Multiplication/Division
  • Ratio & Proportion
  • Scientific Notation
11.American GovernmentGo inside politics and learn about the three branches of government, U.S. laws, and important leaders while finding clues to help you solve some tough calculations.
  • Decimals & Percentages
  • Geometry
  • Multiplication/Division
  • Ratio & Proportion 
12.Ancient CivilizationsPsst...it's Number Cruncher. We're going undercover to hunt down clues to math riddles from ancient worlds. Wrap up your toga, grab that Egyptian headdress, and let's go!
  • Addition/Subtraction
  • Converting Units of Measurement
  • Geometry: Area
  • Geometry: Volume
  • Numerical Sequences: Number lines
  • Ratio & Proportion
  • Understanding Number Systems 
13.Black HistoryMeet extraordinary leaders and learn about African-American culture on this historic hunt. You'll master an array of skills as you earn points for each correct calculation.
  • Addition/Subtraction
  • Averages
  • Charts and Graphs
  • Multiplication/Division 
14.Holidays Around the WorldJoyeux Noel, Feliz Navidad, Merry Christmas, and Happy Chanukah! Let's travel the globe to celebrate international holidays and seek out some festive math solutions.
  • Addition/Subtraction
  • Converting Units of Measurement: Converting Units of Time
  • Fractions : Division with Fractions
  • Multiplication/Division
  • Numerical Sequences 
15.National ParksTime to view America's great sites. As you enjoy the scenery, keep an eye out for facts that will help you solve math problems and earn majestic amounts of points.
  • Addition/Subtraction
  • Averages
  • Converting Units of Measurement
  • Decimals & Percentages
  • Ratio & Proportion
  • Reading a Map Scale 
16.SportsGet in the game -- or in this case, a bunch of games. Hunt down the rules, stats, and facts you need. Then show your math mastery by scoring points for each right answer.
  • Addition/Subtraction
  • Averages
  • Converting Units of Measurement
  • Decimals & Percentages
  • Geometry
  • Multiplication/Division 
17.U.S. PresidentsLearn important and interesting facts about United States' leaders. Then apply your skills and prove your math leadership by correctly solving monumental questions.
  • Fractions : Multiplication with Fractions
  • Geometry: Perimeter
  • Multiplication/Division
  • Reading a Map Scale
18.Western FrontierSettlers, explorers, gold prospectors -- meet them all on a journey through the frontier! Along the way, scout out clues to solve some tough and rough math problems.
  • Decimals & Percentages
  • Multiplication/Division
  • Ratio & Proportion
19.Winter OlympicsLace up the ice skates, wax those skis, and meet the world's elite athletes on a trek to find answers to math problems that will earn you a gold-medal-worthy score.
  • Addition/Subtraction
  • Averages
  • Converting Units of Measurement
  • Decimals & Percentages
  • Geometry
  • Ratio & Proportion
20.Women's HistoryDiscover the women who shaped history. Each story of an astronaut, athlete, or leader holds key information that will help you solve a math question and earn points.
  • Addition/Subtraction
  • Converting Units of Measurement: Converting Units of Time
  • Geometry: Volume
  • Multiplication/Division
  • Ratio & Proportion
  • Scientific Notation
21.World ExplorersGet your compass ready. We're trekking to exciting lands in search of clues. Gather the facts you need to start solving extraordinary math problems.
  • Algebraic Expressions
  • Averages
  • Converting Units of Measurement
  • Fractions : Writing and reducing fractions
  • Numerical Sequences: Calculating with negative numbers