### Curriculum

mathsHeuristics™ programme has been designed and fine-tuned based on real-environment observations, quantifiable impact research and learning psychology, hence robust and highly-effective. It comprises four standalone but complementary modules (UTM, MAPS, HAPS, HOTS), delivered through specific learning paths for Primary 4, 5 and 6 pupils.

mathsHeuristics™ also organises Intensive Workshops for students who need immediate attention or revision, and Bridging Workshops for students moving up primary levels.

Primary 4

Primary 5

Primary 6

Jun

Holidays

Intensive Workshop

Nov / Dec

Holidays

Bridging Workshops

(For P4/P5 moving up to P5/P6)
Primary 4

MAPS l (Elementary)

**Model Approach to Problem-solving (MAPS)**

*Helps children see Maths!*

MAPS is a powerful strategy that enables children to visualise, draw models for and solve Maths problems.

**MAPS I (Elementary)** strengthens the ability to perceive, analyse and think in mental pictures. It covers visualisation techniques, creative drawing and application in solving challenging Maths problems. It encompasses:

• The Four Operations

• Groups & Sets

• Before & After Scenarios

• Part & Whole Concept

• 2-variables Scenarios

• Remainder Scenarios

Primary 4

MAPS II (Advance)

**Model Approach to Problem-solving (MAPS)**

*Helps children see Maths!*

MAPS is a powerful strategy that enables children to visualise, draw models for and solve Maths problems.

**MAPS II (Advance)** is about application of model approach in solving challenging Maths problems that involve higher-order thinking skills. It encompasses:

• Before and After Scenarios

- Single Unchanged Quantities

- Difference Unchanged Quantities

- Total Unchanged Quantities

- All Changing Quantities

• Repeated Scenarios

• Equal Scenarios

• Excess & Shortage

• Total Value = Number x Value

Primary 4

HAPS

**Heuristics Approach to Problem-solving (HAPS)**

*New-technique Creation, Problem-solving Redefinition*

HAPS trains children to use various common heuristics effortlessly, to solve challenging Maths problems efficiently. It, thus, instils children’s confidence at PSLE Maths. It encompasses:

• Systematic Listing

• Guess & Check

• Work Backwards

• Look for Pattern

• Gaps & Differences

Primary 4

HOTS

**Higher-Order Thinking Skills (HOTS)**

*Knowledge, Comprehension, Analysis, Synthesis & Application*

HOTS 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:

• Spatial Visualisation

- Area & Perimeter

* Rearrangement of parts

* Drawing Lines

* Visual Clues

- Cubes

• Topical Approach

- Whole Number

- Fraction

- Decimal

- Money

Primary 5

UTM

**Unit Transfer Method (UTM)**

*Simple, logical, yet powerful!*

Revolutionary UTM empowers children to solve 90% of the challenging problems in PSLE Maths. It encompasses the five main topics of Whole Numbers, Fractions, Decimals, Percentages and Ratios. It encompasses:

• Before & After Scenarios

- Single Unchanged Quantities

- Difference Unchanged Quantities

- Total Unchanged Quantities

- All Changing Quantities

• Excess & Shortage

• Repeated Scenarios

• Equal Scenarios

• 2-variables Scenarios

Primary 5

MAPS

**Model Approach to Problem-solving (MAPS)**

*Helps children see Maths!*

MAPS is a powerful strategy that enables children to visualise, draw models and solve Maths problems. Different aspects of MAPS are taught at different levels.

**MAPS at higher-level** delves deeper into application of model approach in solving challenging Maths problems that involve higher-order thinking skills. It encompasses:

• Conventional Models

• Stack Model

• Split Model

• Branch Approach

Primary 5

HAPS

**Heuristics Approach to Problem-solving (HAPS)**

*New-technique Creation, Problem-solving Redefinition*

HAPS trains children to use various common heuristics effortlessly, to solve challenging Maths problems efficiently. It, thus, instils children’s confidence at PSLE Maths. It encompasses:

• Systematic Listing

• Guess & Check

• Supposition

• Working Backwards

• Looking for Pattern

- Number Sequence

- Diagram Sequence

• Logical Reasoning

• Simultaneous Approach

• Total Value = Number x Value

Primary 5

HOTS

**Higher-Order Thinking Skills (HOTS)**

*Knowledge, Comprehension, Analysis, Synthesis & Application*

HOTS 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:

• Spatial Visualisation

- Area & Perimeter

* Rearrangement of parts

* Drawing Lines

* Visual Clues

* Overlapping Parts

* Difference in Area

* Unit Method

- Geometry

- Cubes

• Topical Approach

- Whole Number

- Fraction

- Decimal

- Percentage

- Ratio

- Rate

Primary 6

UTM

**Unit Transfer Method (UTM)**

*Simple, logical, yet powerful!*

Revolutionary UTM empowers children to solve 90% of the challenging problems in PSLE Maths. It encompasses the five main topics of Whole Numbers, Fractions, Decimals, Percentages and Ratios. It encompasses:

• Before & After Scenarios

- Single Unchanged Quantities

- Difference Unchanged Quantities

- Total Unchanged Quantities

- All Changing Quantities

- Case 1-Case 2 Scenarios

• Excess & Shortage

• Repeated Scenarios

• Equal Scenarios

• 2-variables Scenarios

• Total Value = Number x Value

Primary 6

MAPS

**Model Approach to Problem-solving (MAPS)**

*Helps children see Maths!*

MAPS is a powerful strategy that enables children to visualise, draw models and, from there, solve Maths problems. Different aspects of MAPS are taught at different levels.

**MAPS at higher-level** delves deeper into application of model approach in solving challenging Maths problems that involve higher-order thinking skills. It encompasses:

• Conventional Models

• Stack Model

• Split Model

• Branch Approach

Primary 6

HAPS

**Heuristics Approach to Problem-solving (HAPS)**

*New-technique Creation, Problem-solving Redefinition*

HAPS trains children to use various common heuristics effortlessly, to solve challenging Maths problems efficiently. It, thus, instils children’s confidence at PSLE Maths. It encompasses:

• Systematic Listing

• Guess & Check

• Supposition

• Working Backwards

• Looking for Pattern

• Unit Transfer Method

- Rate

- Speed

* One object moving

* Two objects moving in same direction

* Two objects moving in different directions

* Two Objects moving in a circle

Primary 6

HOTS

**Higher-Order Thinking Skills (HOTS)**

*Knowledge, Comprehension, Analysis, Synthesis & Application*

HOTS 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:

• Spatial Visualisation

- Area & Perimeter

* Rearrangement of parts

* Drawing Lines

* Visual Clues

* Overlapping Parts

* Difference in Area

* Unit Method

- Geometry

- Cubes

• Topical Approach

- Whole Number

- Fraction

- Decimal

- Percentage

- Algebraic Expression

- Ratio