SMART Math 5


Primary 5: Problem Solving Heuristic

  1. Unit Transfer Method
  2. primary-5-page-001Model Approach to Problem-Solving
  3. Stack Model
  4. Split Model
  5. Heuristics Approach to Problem-Solving
  6. 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
  • Constants – Single Subject
  • Remainders
  • Grouping
  • Short or Extra Concept

(1) Unit Transfer Method

Simple, logical, yet powerful!
Revolutionary Unit Transfer Method empowers children to solve 90% of the challenging problems in PSLE Math. It encompasses the five main topics of Whole Numbers, Fractions, Decimals, Percentages, and Ratios. It encompasses:

  • Before & After Concept
  1. Single Unchanged Quantities
  2. Difference Unchanged Quantities
  3. Total Unchanged Quantities
  4. All Changing Quantities
  • Excess & Shortage Concept
  • Repeated Concept
  • Equal Concept
  • 2-variables Concept
(2) Model Approach to Problem Solving – Helps students see Math!

Model Approach to Problem-Solving is a powerful strategy that enables students to visualize, draw models and, from there, solve Math problems. Different aspects of MAPS are taught at different levels.Model Approach to Problem-Solving at higher-level delves deeper into the application of model approach in solving challenging Math problems that involve higher-order thinking skills. It encompasses Conventional Models:

  • Part / Whole Model
  • Comparison Model
 (3) Stack Model

  • Remainder scenarios
  1. The portion removed, the portion remaining
  2. Quantity decreased/increased by a whole number
  3. Equivalent quantity/quantities replaced
  4. Increase / Decrease in more-than / less-than scenarios
  5. Fixed-total scenarios
(4) Split Model

  • Complete the Whole Strategy
  • Convert Units to Parts Strategy
  1. Whole-number portion removed, the portion remaining
  2. Units to Parts Concept in different forms
  3. Before & After Concept in more-than / less-than scenarios


(5) Heuristics Approach to Problem-Solving

New-technique Creation, Problem-solving Redefinition Heuristics Approach to Problem-Solving trains students to use various common heuristics effortlessly, to solve challenging Math problems efficiently. It, thus, instill students’ confidence in PSLE Math. It encompasses:

  • Systematic Listing
  • Guess & Check
  • Supposition
  • Working Backwards
  • Looking for Pattern
  1. Number Sequence
  2. Diagram Sequence
  • Logical Reasoning
  • Simultaneous Approach
  • Total Value = Number x Value
(6) Higher-Order Thinking Skills

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

  • Whole Number
  • Fraction
  • Decimal
  • Percentage
  • Ratio
  • Mensuration: Rectangles, squares & triangles
  • Volume: Solids & liquids
  • Rate



A” 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. Smart Excel has made it simple and fun for him! 

– Jason’s Mum, P4 from Townsville Primary



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