The Math program for Primary 4 students is designed to build on the foundations laid in lower primary school, with the introduction of new concepts and fundamental techniques for academic excellence.

The program, which focuses on number sequences, symmetry, fractions, geometry, and tessellation, in addition to basic arithmetic, combines a curriculum that is catered to school needs with carefully designed materials to reinforce basic skills, concepts, and critical thinking skills; we create a culture of exam savvy students who are skilled in techniques, time management, and self-audit practices, and trained in effective revision, allowing your child to conceptualise concepts clearly within a topic, and continue building a bird’s eye view of the parallel connections within their curriculum.

We provide students with an enriching learning journey through compelling and interactive lessons with our specialist teachers, who make use of an array of fun learning activities from teasers that generate interest in new topics to proprietary games that reinforce and cultivate a love for math.

Primary 4: Problem Solving Heuristicprimary-4-page-001

  1. Model Approach to Problem-Solving I
  2. Model Approach to Problem-Solving II
  3. Heuristics Approach to Problem-solving
  4. Higher-Order Thinking Skills

Our syllabus has been carefully planned to correlate with the basic textbooks, incorporate IQ questions and challenging problems, step by step explanations enable pupils to improve their competency in basic Mathematics skills.

Topics Covered (MOE Syllabus)see-content


  1. Enhance students’ conception of Mathematics through various techniques and methods of solving
  2. Inspire students to investigate Mathematical concepts and acquire analytical thinking skills to further understand and appreciate the concepts

Course Outline

  • Listing
  • Patterns
  • Guess & Check Method
  • Working Backward Method
  • Using Model
  • Constants – Total
  • Constants – Difference
  • Remainders


(1) Model Approach to Problem-Solving I 

Helps children see Math! MAPS is a powerful strategy that enables children to visualize, draw models for and, from there, solve Maths problems.

Model Approach to Problem-Solving I (Elementary) strengthens the ability to perceive, analyze and think in the mental picture. It covers visualization techniques, creative drawing, and application in solving challenging Maths problems. It encompasses:

  • The Four Operations (+ x – ÷)
  • Groups & Sets
  • Part & Whole Concept
  • 2-variables Concept
  • Remainder Theorem
(2) Model Approach to Problem-Solving II 

Helps children see Math! MAPS is a powerful strategy that enables children to visualize, draw models for and, from there, solve Maths problems.

Model Approach to Problem-Solving II  (Advance) is about the application of model approach in solving challenging Maths problems that involve higher-order thinking skills. It encompasses:

  • Before & After Concept
  1. Single Unchanged Quantities
  2. Difference Unchanged Quantities
  3. Total Unchanged Quantities
  4. All changing quantities
  • Repeated Concept
  • Equal Concept
  • Excess & Shortage
  • Proportion Concept
 (3) Heuristics Approach to Problem-Solving 

New-technique Creation, Problem-solving Redefinition.
Heuristics Approach Problem-solving trains children to use various common heuristics effortlessly, to solve challenging Maths problems efficiently. It, thus, instills children’s confidence at PSLE Maths. It encompasses:

  • Act It Out Method
  • Systematic Listing Method
  • Guess & Check Method
  • Work Backwards Method
  • Look for Pattern Method
  • Gaps & Differences Method
(4) Higher-Order Thinking Skills

Knowledge, Comprehension, Analysis, Synthesis & Application.
Higher-Order Thinking Skills hones these conceptual skills, and the aptitude to apply various Maths syllabus-based heuristics. With exposure to actual exam questions from top schools, children will be ready and confident for the exams. It encompasses:

  • Time
  • Money
  • Perimeter
  • Area
  • Counting Shapes
  • Cubes
  • Fraction
  • Decimal


The Model Drawing essentially becomes a good entry level tool to help my son to understand and break the questions into component parts making solving and learning math easy. MathsExCEL has made it simple and fun for him!

– Jason’s Mum, P4 from Townsville Primary

SMART Science