Graphs Axis, Stationary Points and Asymtotes

GCE O-level and GCE A-Level Mathematics. IGCSE. IB Diploma HL SL Mathematics.
Some common features of a graph.
Axial Intercepts
  • also known as y-intercepts and x-intercepts (roots of an equation)
  • this occurs at x=0 for y-intercepts, and y=0 for x intercepts
  • substitute the above into equation of curve for the intercepts
Stationary points
  • gradient, m, dy/dx=0
  • tangent lines at stationary points are parallel to the x-axis (horizontal)
  • stationary points can be minimum/maximum/inflexion
Asymptotes
  • an asymptote is a line that values of x or y tend towards when reaching infinity ∞
  • there are 3 types of asymtotes: horizontal, vertical and oblique
  • when y tends to infinity and x tends to a number, a vertical asymptote occurs
  • when x tends to infinity and y tends to a number a horizontal asymptote occurs
  • an oblique asymptote occurs when f(x)/g(x) where f(x) is one degree higher than g(x)

Lower Secondary Science Topics Singapore

Herein lies the curriculum for lower secondary science topics in Singapore. They are for Sec 1 and Sec 2 Science Syllabus and contains subject content from Physics, Chemistry and Biology. We teach Sec 1 and Sec 2 Science Topics in accordance to MOE guidelines and Secondary School Curriculum in our tutorial classes. Kindly contact Yuet Ling +65 8222 6327 for our classes.

edukate singapore tuition punggol vocabulary english tuition class small group
This is a Secondary Science Tuition, Intensive course for GCE O levels

The Science Topics for Sec 1 and Sec 2 are:

Physics
  • Introducing Science
  • Physical Properties of Matter
  • Ray Model of Light
  • Electrical Systems
  • Forces and Pressure
  • Energy and Work Done
  • Sound Energy
  • Heat Energy
Chemistry
  • Classification of Materials
  • Elements, Compounds and Mixtures
  • Separation of Mixtures
  • Solutions and Suspensions
  • Acids and Alkalis
  • Changing Matter
  • Particulate Model of Matter
  • Atoms and Molecules
Biology
  • Diversity of Plant and Animal Life
  • Ecology
  • Photosynthesis
  • Respiration
  • Cells
  • Transport in Living Things
  • Digestion in Human Beings

Who is eduKate?

Science Topics PSLE Syllabus

Herein lies the PSLE Science Topics that are current to the PSLE Syllabus 2015. Our tutorial classes follows the curriculum outlined out by MOE and Primary Schools in Singapore for Pri (P) 3,4,5,6 Science Classes.

Diversity
  • Classifying things
  • Living and Non-Living Things
  • Plants
  • Animals
  • Fungi and Bacteria
  • Exploring Materials
Cycles
  • Life Cycles
  • Matter and Its Three States
  • From Parents to Young
  • Reproduction in Plants
  • Reproduction in Humans
  • Water and Changes of State
Systems
  • What is a System?
  • Your Amazing Body
  • The Digestive System
  • Plants and Their Parts
  • The Plant Transport System
  • Air and the Respiratory System
  • The Human Circulatory System
  • The Unit of Life
  • Electricity
Interactions
  • Magnets
  • Forces
  • Living Together
  • Characteristics of the Environment
  • Food Chains and Food Webs
  • Adaptations for Survival
  • Man’s Impact on Environment
Energy
  • Light
  • Heat and Temperature
  • Energy in Food
  • Forms, Uses and Sources of Energy

PSLE English Essential Vocabulary Words

PSLE English Essential Vocabulary Words to be used during PSLE Examinations. An easily digestible education to ace an A* for the PSLE.

1) love -affectionate and passionate liking for something or someone

Synonym:-

  • affection
  • appreciation
  • devotion
  • fondness
  • friendship
  • infatuate
  • lust
  • passion
  • respect
  • tenderness
  • yearning
  • adulation
  • allegiance
  • amity
  • attachment
  • cherish
  • crush
  • delight
  • devoted
  • enchantment
  • enjoyment
  • hankering
  • idolatry
  • inclination
  • like
  • partiality
  • piety
  • rapture
  • regard
  • relish
  • sentiment
  • worship
  • zeal
  • ardency
  • mad for
  • soft spot

Antonym:-

  • animosity
  • dislike
  • enmity
  • hate
  • ill will
  • indifference
  • apathy
  • misery
  • disloyalty
  • coolness
  • sorrow
  • treachery
  • unhappiness

2) industrious- the ability to do a lot of work in a short matter of time

synonym:-

  • conscientious
  • diligent
  • energetic
  • productive
  • active
  • assiduous
  • busy
  • dynamic
  • eager
  • intent
  • involved
  • laborious
  • perky
  • persevering
  • persistent
  • plugging
  • purposeful
  • spirited
  • tireless
  • zealous

antonym

  • inactive
  • lazy
  • lethargic
  • idle
  • lackadaisical
  • slack
  • slow
  • unemployed
  • unproductive

3) optimism/optimist- a person that tends to see things on the bright side or favourable situations

synonyms:-

  • anticipation
  • certainty
  • confidence
  • elation
  • enthusiasm
  • expectation
  • happiness
  • idealism
  • trusty
  • assurance
  • brightness
  • buoyanct
  • calmness
  • cheerfulness
  • encouragement
  • exhilaration
  • hopeful
  • positive
  • sanguineness
  • looking on bright side
  • rose-tinted glasses

antonym:-

  • depression
  • distrust
  • doubt
  • fear
  • sadness
  • sorrow
  • uncertainty
  • unhappiness
  • discouragement
  • gloom
  • hopelessness
  • pessimism

4) monotony- a constant state of sameness, unchanging

synonym:-

  • colorless
  • continuity
  • dreary
  • dull
  • evenness
  • flat
  • humdrum
  • identical
  • invariability
  • likeness
  • repetitious
  • repetitiveness
  • routine
  • similarity
  • tedious
  • tiresome
  • unchangeable
  • uniformity
  • same old thing
  • wearisome

antonym:-

  • difference
  • dissimilar
  • excitement
  • lively
  • unlikeness
  • change
  • colourful
  • versatility

5) loiter- to linger aimlessly

synonym:-

  • amble
  • dawdle
  • linger
  • loung
  • ramble
  • saunter
  • traipse
  • dally
  • delay
  • drag
  • idle
  • lag
  • loaf
  • pause
  • procrastinate
  • trail
  • wait
  • pass time
  • put off
  • waste time

antonym:-

  • hurry
  • run
  • rush
  • advance
  • carry on
  • complete
  • do
  • finish
  • forge
  • forward
  • go ahead
  • hasten
  • push
Punggol English Creative Writing Primary Pri 1,2,3,4,5,6 PSLE MOE Syllabus Small Group Tuition with qualified tutors
Tutor Yuet Ling introducing the theme “Going to the Zoo’ and everything that students should know about zoo’s, including the place, the animals, zookeepers and the people who goes there.
Punggol Tuition Centre English Creative Writing Primary Pri 1,2,3,4,5,6 PSLE MOE Syllabus Small Group Tuition with qualified tutors
Creative Writing class are themed and we teach from scratch. Building from ground up including vocabulary, interesting formats and all relevant sentences used in these themes.
Punggol English Creative Writing Primary Pri 1,2,3,4,5,6 PSLE MOE Syllabus Small Group Tuition with qualified tutors
Creative Writing class are fully air-conditioned and filtered for health, safety and comfort. We teach throughout the year, rain, shine or haze.
Punggol Tuition Centre Good Tutor for Small Group Pri Sec English Maths Science Qualified Tutors  Primary Secondary P1 p2 p3 p4 p5 p6 PSLE GCE O level
Tutors doing Intensive Tuition with students that requires a faster learning curve for their school.
Punggol Tuition Centre Good Tutor for Small Group Pri Sec English Maths Science Qualified Tutors  Primary Secondary P1 p2 p3 p4 p5 p6 PSLE GCE O level
Our Punggol tutors in action. We are all hands-on when it comes to teaching.
Punggol Tuition Centre Good Tutor for Small Group Pri Sec English Maths Science Qualified Tutors  Primary Secondary P1 p2 p3 p4 p5 p6 PSLE GCE O level
Small Group Punggol Tuition Centre
Punggol Tuition Centre Good Tutor for Small Group Pri Sec English Maths Science Qualified Tutors  Primary Secondary P1 p2 p3 p4 p5 p6 PSLE GCE O level
Tutors teach everything from scratch and makes student practice their work properly

List A of Vocabulary Words for PSLE English

Top Five Words to ace an A* in the the PSLE English Language. Ace you English Language examinations with eduKate Singapore tutors. Call Yuet Ling +65 8222 6327 for our Primary English Classes.  Below you will find our online community development initiatives for English Language development.

Free Online English Lessons for Primary Schools.

Topic: List A of Vocabulary Words for PSLE English

1) love -affectionate and passionate liking for something or someone

Synonym:-

  • affection
  • appreciation
  • devotion
  • fondness
  • friendship
  • infatuate
  • lust
  • passion
  • respect
  • tenderness
  • yearning
  • adulation
  • allegiance
  • amity
  • attachment
  • cherish
  • crush
  • delight
  • devoted
  • enchantment
  • enjoyment
  • hankering
  • idolatry
  • inclination
  • like
  • partiality
  • piety
  • rapture
  • regard
  • relish
  • sentiment
  • worship
  • zeal
  • ardency
  • mad for
  • soft spot

Antonym:-

  • animosity
  • dislike
  • enmity
  • hate
  • ill will
  • indifference
  • apathy
  • misery
  • disloyalty
  • coolness
  • sorrow
  • treachery
  • unhappiness

2) industrious- the ability to do a lot of work in a short matter of time

synonym:-

  • conscientious
  • diligent
  • energetic
  • productive
  • active
  • assiduous
  • busy
  • dynamic
  • eager
  • intent
  • involved
  • laborious
  • perky
  • persevering
  • persistent
  • plugging
  • purposeful
  • spirited
  • tireless
  • zealous

antonym

  • inactive
  • lazy
  • lethargic
  • idle
  • lackadaisical
  • slack
  • slow
  • unemployed
  • unproductive

3) optimism/optimist- a person that tends to see things on the bright side or favourable situations

synonyms:-

  • anticipation
  • certainty
  • confidence
  • elation
  • enthusiasm
  • expectation
  • happiness
  • idealism
  • trusty
  • assurance
  • brightness
  • buoyanct
  • calmness
  • cheerfulness
  • encouragement
  • exhilaration
  • hopeful
  • positive
  • sanguineness
  • looking on bright side
  • rose-tinted glasses

antonym:-

  • depression
  • distrust
  • doubt
  • fear
  • sadness
  • sorrow
  • uncertainty
  • unhappiness
  • discouragement
  • gloom
  • hopelessness
  • pessimism

4) monotony- a constant state of sameness, unchanging

synonym:-

  • colorless
  • continuity
  • dreary
  • dull
  • evenness
  • flat
  • humdrum
  • identical
  • invariability
  • likeness
  • repetitious
  • repetitiveness
  • routine
  • similarity
  • tedious
  • tiresome
  • unchangeable
  • uniformity
  • same old thing
  • wearisome

antonym:-

  • difference
  • dissimilar
  • excitement
  • lively
  • unlikeness
  • change
  • colourful
  • versatility

5) loiter- to linger aimlessly

synonym:-

  • amble
  • dawdle
  • linger
  • loung
  • ramble
  • saunter
  • traipse
  • dally
  • delay
  • drag
  • idle
  • lag
  • loaf
  • pause
  • procrastinate
  • trail
  • wait
  • pass time
  • put off
  • waste time

antonym:-

  • hurry
  • run
  • rush
  • advance
  • carry on
  • complete
  • do
  • finish
  • forge
  • forward
  • go ahead
  • hasten
  • push
Punggol English Creative Writing Primary Pri 1,2,3,4,5,6 PSLE MOE Syllabus Small Group Tuition with qualified tutors
Creative Writing class are fully air-conditioned and filtered for health, safety and comfort. We teach throughout the year, rain, shine or haze.
Punggol English Creative Writing Primary Pri 1,2,3,4,5,6 PSLE MOE Syllabus Small Group Tuition with qualified tutors
Tutor Yuet Ling introducing the theme “Going to the Zoo’ and everything that students should know about zoo’s, including the place, the animals, zookeepers and the people who goes there.
Punggol English Creative Writing Primary Pri 1,2,3,4,5,6 PSLE MOE Syllabus Small Group Tuition with qualified tutors
All students are required to write down everything they learn and also their thoughts, giving the subject a good thought before they attempt to write a composition themselves.
Punggol Tuition Centre Good Tutor for Small Group Pri Sec English Maths Science Qualified Tutors  Primary Secondary P1 p2 p3 p4 p5 p6 PSLE GCE O level
Guiding students in a creative writing tuition making sure they have a strong definitive ending, rounding up their composition.
Punggol Tuition English Math Science edukate singapore tuition punggol vocabulary english tuition class small group
Our Punggol tutors checks every students work and guides them during one of our creative writing classes
Good Tutor Singapore Tuition English Maths Science Primary Secondary Tutor Small group
Tutor Yuet Ling teaching students Creative Writing English class.
Singapore Tuition English Maths Science Primary Secondary Tutor Small group Creative Writing Pri 3,4,5,6 PSLE
Tutor Yuet Ling in the Office working on new materials. We customise all our classes for our students.
English Tutor Singapore Tuition English Maths Science Primary Secondary Tutor Small group
Tutor Yuet Ling teaches Creative Writing class different themes every semester.
English Tuition Centre Tampines English Tuition PSLE IP IB GCE IGCSE SAP Tuition by Top RJC, ACJC, SAJC, TPJC Tutors
English Tuition Centre Tampines English Tuition PSLE IP IB GCE IGCSE SAP Tuition by Top RJC, ACJC, SAJC, TPJC Tutors