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Primary Mathematics

What is it about?

 

The ILLAC Program is a powerful and effective programme that uses the theories of neurology and psychology to help students learn better and faster. The programme stimulates children’s executive functions through hands-on activities and uses brain priming activities to prep the brain before working on the questions in the worksheets. A well-stimulated and prepped brain learns faster and absorbs better!

Throughout each session, your child’s working memory, mental flexibility and inhibitory control will be systematically stimulated through our specially-designed activities to ensure they not only excel in class but also in life. The programme also includes Speed Reading and Character Education to ensure your child is not only excellent in his/her studies but also has excellent decision-making skills in life.

Benefits of the Program

 

  • Your child will be able to reach his/her peak performance!
  • You will no longer need to worry about your child’s results because scoring ‘A’s are easily within reach!
  • Your child will no longer dread learning but look forward to every session with us!
  • Your child will have a solid foundation in whichever subject he/she is taking with us.
  • an enhanced Working Memory – able to solve, for example, complicated Mathematical problem sums and remember the specific heuristics to use.
  • a heightened Inhibitory Control – able to focus better and have a longer attention span in class.
  • an improved Mental Flexibility – able to learn and process different information easily and creatively.
  • An enhanced and stimulated development in executive functions places your child on the upper tier of the population in achievements from preschool, to university and even adulthood (Bailey, 2007; Eakin et al., 2004)!
  • Fantastic verbal and non-verbal reasoning – Able to express themselves comfortably and accurately
  • Improved self-esteem
  • Improved communication and social skills
  • improved social and moral competence

How exactly does it work?

In each 2 hours session, your child will be doing speed reading for about 10min, brain-priming activities for another 10 min and executive functions stimulation for another 10min. The rest of the time is used to learn academic concepts of Mathematics and its various heuristics. The teacher will also engage in one-to-one consultation with each student to address weaknesses and clarify misconceptions.

Every 2 hours of learning with us is packed with brain-stimulating work and learning that ensures your child is not only receiving tuition but real solid enrichment for the brain!

Primary Mathematics

In Singapore’s Primary Math, there are 12 heuristics in the Mathematics Syllabus and each taxes on at least 2 executive functions, above the knowledge needed to solve each sum:

Sample Question:

A farmer has 25 cows and chickens altogether. If the total number of legs among all the animals are 90, how many chickens are there in the farm?

Solution:

Besides taxing on the working memory to remember the steps to solve the problem using the Assumption Method, students will also need to ensure they exercise a lot of inhibitory control to use the correct numbers, differentiate the items and not make any careless transference of numbers in the process.

When do I use the Assumption Method?
When 2 totals and 2 items are given in the question.

What item should I assume?
If the question asks for “chickens”, assume all to be “cows”, because in that case, the final answer will be “chickens”.

Assume all to be cows.
Step 1: New total -> 25 x 4 = 100 legs
Step 2: Difference between new and old total -> 100 – 90 = 10 legs
Step 3: Difference between the items -> 4 – 2 = 2 legs
Step 4: Divide the differences -> 10 ÷ 2 = 5

Ans: 5 chickens

Click here for more information of each level: Primary OnePrimary TwoPrimary ThreePrimary FourPrimary FivePrimary Six

Programme Outline for Each Level

 

  • Counting up to 100
  • Skip counting by twos, fives and tens
  • Writing numbers in words up to a hundred
  • Understanding number bonds
  • Addition with regrouping up to 100
  • Subtraction with regrouping up to 100
  • Problem sums involving addition and subtraction
  • Addition of more than 2 numbers
  • Completing addition/subtraction sentences
  • Comparison of numbers
  • Understanding properties of shapes
  • Interpretation of Picture Graphs
  • Measurements using units/cm
  • Comparison of weight
  • Problem-solving involving money
  • Addition and subtraction of money
  • Solving patterns questions
  • Reading and comparing time
  • Multiplication up to 10 (P1 Term 4)
  • Division up to 10 (P1 Term 4)
  • Multiplication and division word problems (P1 Term 4)
 

  • Skip counting
  • Number pattern
  • Number lines
  • Problem sums involving multiplication and division
  • Estimation/Rounding off to the nearest ten, hundred and thousand
  • Counting money up to $100
  • Exchanging coins
  • Problem sums involving money
  • Giving change
  • Comparing numbers up to 1000
  • Distinguishing numbers up to 1000
  • Read analogue clocks
  • Write time
  • Differentiating a.m. and p.m.
  • Read calendar
  • Compare time
  • Interpreting bar graphs/ line plots and pictographs
  • Sorting shapes into a Venn diagram
  • Naming 3-dimensional shapes
  • Comparing measurements in grams/centimeter/litres
  • Adding and subtracting by 2 digits with regrouping
  • Problem sums involving addition and subtraction by 2 digits with regrouping
  • Fractions of a group
  • Comparing fractions using model
  • Ordering fractions
  • Problem sums involving fractions
 

  • Numbers to 10 000
  • Number patterns within 10 000
  • Mass in kilograms and grams
  • Money in various denominations and change up to $1000
  • Volume in litres and mililitres
  • Lengths in kilometres, metres and centimeters
  • Long Division up to 3 digits
  • Time to 1 min
  • Adding and subtraction of time with regrouping
  • Drawing timeline to solve word problems involving time
  • Comparing like and unlike fractions
  • Expressing fractions in its simplest form
  • Ordering fractions
  • Obtuse and acute angles
  • Properties and angles of shapes and objects around us
  • Perpendicular and parallel lines
  • Bar graphs
  • Area and Perimeter involving squares and triangles
  • Solving word problems involving mass, money, volume, length, multiplication and division, fractions, and area and perimeter.
 

  • Numbers to 100 000
  • Number patterns within 100 000
  • Mass in kilograms and grams
  • Money in various denominations and change up to $10 000
  • Volume in litres and milliliters
  • Lengths in kilometres, metres and centimeters
  • Converting time between 12-hour and 24-hour time format
  • Adding and subtraction of time with regrouping
  • Drawing timeline to solve word problems involving time
  • Multiplication of 3-digit by 2 digit numbers
  • Estimation of sums, differences, products and divisions
  • Factors and multiples
  • Expressing fractions as mixed numbers and improper fractions
  • Addition and subtraction of like and unlike fractions
  • Sums relating to fractions of a set
  • Decimals up to thousandths
  • Rounding off decimals
  • Obtuse and acute angles
  • Properties and angles of shapes and objects around us
  • Drawing perpendicular and parallel lines
  • Drawing angles using a protractor
  • Associating angles with turns of 90°
  • Reading 8-point compass
  • Finding symmetry
  • Data analysis using tables and line graphs
  • Area and Perimeter involving composite figures
  • Solving word problems involving mass, money, volume, length, multiplication and division, fractions, decimals, time, and area and perimeter.
 

  • Numbers to 10 000 000
  • Multiplication patterns within 100 000
  • Checking for reasonableness of answers in problem sums
  • Using brackets in numerical expressions
  • Using calculators
  • Percentages
  • Ratio
  • Area of triangle
  • Volume of cube and cuboid
  • Mass in kilograms and grams
  • Money in various denominations and change up to $100 000
  • Volume in litres and millilitres
  • Lengths in kilometres, metres and centimeters
  • Converting time between 12-hour and 24-hour time format
  • Adding and subtraction of time with regrouping
  • Drawing timeline to solve word problems involving time
  • Multiplication of 3-digit by 2 digit numbers
  • Divisions and multiplications of fractions
  • Conversion of fractions to decimals and vice-versa
  • Sums relating to fractions of a set
  • Decimals up to thousandths
  • Rounding off decimals
  • Geometrical properties involving isosceles triangle, equilateral triangle, right-angled triangle, parallelogram, rhombus and trapezium
  • Finding symmetry
  • Data analysis using mean, median and mode
  • Solving word problems involving mass, money, volume, length, multiplication and division, fractions, decimals, time, percentage, and area and perimeter.
 

  • Speed, Time, Distance
  • Pie Charts
  • Algebra
  • Area and Circumference of Circles
  • Percentages
  • Ratio
  • Area of triangle
  • Volume of cube and cuboid
  • Divisions and multiplications of fractions
  • Conversion of fractions to decimals and vice-versa
  • Geometrical properties involving isosceles triangle, equilateral triangle, right-angled triangle, parallelogram, rhombus and trapezium
  • Data analysis using mean, median and mode
  • Solving word problems involving ratio, percentage, circles, triangles, speed, algebra and pie charts.

Extensive revision of all topics will be done on a weekly basis to ensure students are ready for PSLE!

We also include in our programmes:

SPEED READING

Speed Reading is a fixed component in our ILLAC program regardless of subject chosen. We train them to speed read using our very own Super Reader application on the iPad (you won’t be able to find it in iTunes, don’t bother ;).

We teach children to speed read using visualisation skills which broaden their ability to comprehend stories that they read in an instant.

Speed Reading takes place every single session (about 10min per lesson), hence the more times they come in in a week, the faster they are able to speed read!

But why speed read?

Imagine your child being able to read at half the time he usually takes, understand the demands and finish what is expected all in a jiffy.

You will not only save your breathe in chasing him to finish his work, he will have more time to relax and engage in other stuff which he likes!

BLISS…

Speed reading will also prepare your child for higher academic achievement by ensuring that he will be ready to read, visualise and understand anything that he needs to digest in order to prepare himself for the world-stage.

Character Education

You might think this is not important, or why would you need to sign up for an enrichment class that teaches “character”. Actually, character education is more than just teaching children to be good, our “Character Education” teaches students situational analysis, exposes them to current affairs, and guides them in developing decision-making skills.

Research shows that students who go through high-quality character education perform better academically due to their heightened ability in making good decisions in life.

Character Education in ILLAC takes many forms. Most of our Comprehension Passages and Cloze passages teach either a moral or is based on current affairs that stir thinking. Teachers will also take about 10min per lesson to conduct discussions in class using our Character Education materials. From there, students develop oratorial skills in presenting their thoughts.

What is the schedule ?

You can choose between once a week per subject, or twice a week, 2 hours each subject/lesson. Multiple combinations of classes are available, please click here for more information of each level: Primary OnePrimary TwoPrimary ThreePrimary FourPrimary FivePrimary Six

How to register ?

You can call, Whatsappemail or visit us at our centers at Vision Exchange #06-15 or West Coast Plaza #01-16/17/18.

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