eduKate Singapore · Mathematics Learning Library
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Deep routes: Singapore Learning Library · Mathematics directory · Additional Mathematics gateway · All eduKateSingapore routes · Complete content index.
Strengthen number sense, operations, fractions, proportional reasoning, problem solving, geometry and data. This reader-friendly shelf groups focused learning guides by the mathematical relationship the learner needs to understand and use.
Return to the Singapore Learning Library to explore other subjects.
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Number sense
- Counting Objects Accurately with One-to-One Correspondence
- Understanding Place Value in Two-Digit Numbers
- Understanding Place Value in Three-Digit Numbers
- Understanding Place Value in Four-Digit Numbers
- Reading and Writing Whole Numbers
- Comparing Whole Numbers with Place Value
- Ordering Whole Numbers on a Number Line
- Recognising Odd and Even Numbers
- Identifying Number Patterns
- Understanding the Value of Zero
- Estimating Sensible Quantities
- Rounding Whole Numbers to the Nearest Ten
- Rounding Whole Numbers to the Nearest Hundred
- Rounding Whole Numbers to the Nearest Thousand
- Understanding Factors of a Number
- Understanding Multiples of a Number
- Recognising Prime and Composite Numbers
- Finding Common Factors
- Finding Common Multiples
- Using Number Sense to Check an Answer
Operations
- Understanding Addition as Combining Quantities
- Understanding Subtraction as Finding Difference
- Adding Two-Digit Numbers Without Regrouping
- Adding Two-Digit Numbers with Regrouping
- Subtracting Two-Digit Numbers Without Regrouping
- Subtracting Two-Digit Numbers with Regrouping
- Understanding Multiplication as Equal Groups
- Understanding Division as Equal Sharing
- Building Accurate Multiplication Facts
- Connecting Multiplication and Division Facts
- Using the Commutative Property of Addition
- Using the Commutative Property of Multiplication
- Using the Distributive Property with Friendly Numbers
- Multiplying by Ten One Hundred and One Thousand
- Dividing by Ten One Hundred and One Thousand
- Multiplying Multi-Digit Numbers
- Dividing with Remainders
- Interpreting a Remainder in Context
- Using Order of Operations in Simple Expressions
- Choosing an Efficient Calculation Strategy
- Estimating Before Performing a Calculation
- Checking an Operation with Its Inverse
Fractions
- Understanding a Fraction as Equal Parts
- Recognising Numerator and Denominator
- Representing Fractions with Area Models
- Representing Fractions on a Number Line
- Recognising Unit Fractions
- Comparing Fractions with the Same Denominator
- Comparing Fractions with the Same Numerator
- Finding Equivalent Fractions
- Simplifying Fractions to Lowest Terms
- Converting Improper Fractions to Mixed Numbers
- Converting Mixed Numbers to Improper Fractions
- Adding Fractions with the Same Denominator
- Subtracting Fractions with the Same Denominator
- Finding a Common Denominator
- Adding Fractions with Unlike Denominators
- Subtracting Fractions with Unlike Denominators
- Adding Mixed Numbers
- Subtracting Mixed Numbers
- Finding a Fraction of a Whole Number
- Multiplying a Fraction by a Whole Number
- Interpreting a Fraction of a Set
- Comparing Fractions with Benchmarks
- Solving Fraction Comparison Problems
- Recognising Fraction Misconceptions
- Checking Fraction Answers for Reasonableness
Decimals and percentages
- Understanding Tenths as Decimals
- Understanding Hundredths as Decimals
- Representing Decimals on a Number Line
- Comparing Decimal Numbers
- Ordering Decimal Numbers
- Rounding Decimals to an Appropriate Place
- Adding Decimal Numbers
- Subtracting Decimal Numbers
- Multiplying Decimals by Whole Numbers
- Dividing Decimals by Whole Numbers
- Connecting Fractions and Decimals
- Understanding Percentage as Parts per Hundred
- Converting Simple Fractions to Percentages
- Converting Decimals to Percentages
- Finding a Percentage of a Quantity
- Understanding Percentage Increase
- Understanding Percentage Decrease
- Comparing Discounts and Sale Prices
- Solving Multi-Step Percentage Problems
- Checking Percentage Answers Against the Original Whole
Ratio and rates
- Understanding Ratio as a Comparison
- Writing Ratios in Simplest Form
- Finding Equivalent Ratios
- Dividing a Quantity in a Given Ratio
- Comparing Part-to-Part and Part-to-Whole Ratios
- Understanding Rate in Everyday Contexts
- Finding Unit Rate
- Comparing Prices Using Unit Rates
- Understanding Speed as Distance per Unit Time
- Solving Distance Speed and Time Problems
- Understanding Average Speed Carefully
- Connecting Ratio and Fractions
- Scaling a Recipe Using Ratio
- Solving Ratio Problems with Models
- Recognising When Proportional Reasoning Applies
Problem solving
- Reading a Mathematics Word Problem Carefully
- Identifying the Question Before Calculating
- Separating Relevant and Irrelevant Information
- Drawing a Part-Whole Model
- Drawing a Comparison Model
- Using a Before-and-After Model
- Representing Equal Groups with a Model
- Representing Repeated Difference
- Using a Systematic Listing Strategy
- Using Guess and Check Responsibly
- Working Backwards from a Final Quantity
- Looking for a Repeating Pattern
- Solving a Two-Step Word Problem
- Solving a Three-Step Word Problem
- Tracking Units Throughout a Problem
- Choosing Between Addition and Subtraction
- Choosing Between Multiplication and Division
- Translating Words into Number Sentences
- Comparing Two Possible Problem-Solving Methods
- Explaining Mathematical Reasoning in Words
- Checking Whether an Answer Fits the Story
- Repairing a Misread Word Problem
- Avoiding Premature Calculation
- Handling Challenging Problems Without Panic
- Building Transfer Across Unfamiliar Problem Contexts
Geometry and measurement
- Recognising Basic Two-Dimensional Shapes
- Describing Properties of Triangles
- Describing Properties of Quadrilaterals
- Recognising Lines of Symmetry
- Understanding Right Angles
- Comparing Acute Obtuse and Right Angles
- Measuring Angles with a Protractor
- Understanding Parallel and Perpendicular Lines
- Finding the Perimeter of a Rectangle
- Finding the Area of a Rectangle
- Finding the Area of a Triangle
- Understanding Area as Covering a Surface
- Understanding Volume as Occupied Space
- Calculating Volume of a Cuboid
- Converting Units of Length
- Converting Units of Mass
- Converting Units of Capacity
- Reading Time on an Analogue Clock
- Calculating Elapsed Time
- Understanding Timetables and Schedules
- Solving Measurement Problems with Mixed Units
- Checking Geometry and Measurement Units
Data and uncertainty
- Reading a Simple Picture Graph
- Reading a Bar Graph Accurately
- Creating an Appropriate Data Table
- Comparing Categories in a Bar Graph
- Interpreting a Line Graph in Context
- Recognising Misleading Graph Scales
- Finding the Average of a Small Data Set
- Understanding Why an Average May Be Misleading
- Collecting Data Fairly
- Explaining What a Data Display Shows
- Checking Conclusions Against the Available Data
Choose the next useful step
Begin with the learner’s current question and check school feedback. Use the explanation, worked example and practice prompt in one guide before choosing a related topic.
Topic placement, current examination arrangements and expected depth depend on the learner’s school programme, cohort and applicable official syllabus.
Explore the wider Mathematics article estate
This structured library remains the focused route for Mathematics concepts and problem-solving skills. For the wider published collection across Primary, PSLE, Secondary, E-Math, Additional Mathematics, advanced concepts and study methods, continue to the Mathematics Article Directory.
Continue into Secondary Mathematics
Use the eduKateSG Mathematics Learning Hub for the wider Primary-to-JC map, or the Secondary Mathematics S1–S4 capability map for worked Secondary teaching guides.
When Additional Mathematics becomes the learner’s separate subject route, continue to the Additional Mathematics gateway. This library remains the foundations and focused-skill shelf.
Primary and PSLE Mathematics ecosystem routes
Additional Mathematics specialist gateways
When this foundations library is no longer the right owner, use the Bukit Timah Tutor Additional Mathematics Knowledge Map for specialist A-Math depth and progression, and the eduKateSG Additional Mathematics Hub for the wider subject map and examination-interface routes.
For direct worked Secondary 3–4 teaching guides, use the eduKateSengkang Additional Mathematics Learning Hub. Return to this library when the repair belongs to earlier Mathematics foundations or focused prerequisite skills.
Mathematics support inside the Tutor System
This library owns Mathematics learning resources. When a learner needs sustained human tutoring, use The Tutor System to connect tutor fit, parent support, student practice, progress review and independence without replacing the subject-specific Mathematics route.
Move from Mathematics skill to the right owner
This library owns the focused concept and problem-solving sequence. For the wider Mathematics estate, use the Mathematics Article Directory or Mathematics World. For Additional Mathematics progression, use the Additional Mathematics gateway.
When the issue is cohort, syllabus or examination format, use the Curriculum and Examination Library. When the learner needs a study-method repair or a family support decision, use the Learning and Study Skills Library or Parent Learning Support Directory. For classes, tutors or locality routes, use Tuition Programmes & Locations.
eduKate Mathematics handoff: For Additional Mathematics onward, IB/IGCSE, olympiads, university admissions and the global Mathematics map, continue to BukitTimahTutor’s World Mathematics Atlas.
