Mathematics Syllabus for Grade 5 (2025)

Grade 5 Mathematics Syllabus 

Domains, Key Topics 

& Sitemap

1. Whole Number & Operations 

• Numbers up to one Million
• Addition and Subtraction
• Multiplication  and Division
• Number Patterns
• Review Exercise 

2. HCF and LCM

• Highest Common Factor (HCF)
• Least Common Multiple (LCM)
• I Have Learnt to:
• Review Exercise

3. Decimals 

Operations:  

  Adding/subtracting decimals to hundredths.  

  Multiplying decimals (e.g., \( 3.6 \times 0.4 \)).  

  Dividing decimals by whole numbers (e.g., \( 8.4 ÷ 7 \)).  

  Place Value Logic: Comparing decimals using >, <, or =.  

4. Measurement & Data  

Conversions:  

   Metric system (e.g., km → m, g → kg).  

   U.S. customary units (e.g., lb → oz, gal → qt).  

  Volume: Using formulas (\( V = l \times w \times h \)) and unit cubes.  

Data Analysis:  

   Line plots with fractional measurements.  

   Interpreting bar graphs, pictographs, and coordinate grids.  

5. Geometry 

2D Shapes:  

   Classifying polygons by properties (sides, angles).  

   Understanding hierarchies (e.g.,  all rhombi are parallelograms ).  

   Coordinate Plane: Plotting points in Quadrant I; real-world mapping.  

   Volume Concepts: Relating volume to multiplication/additive reasoning.  

6. Algebraic Thinking  

   Patterns & Relationships: Generating numerical patterns (e.g., \( y = 3x \)).  

   Variables: Simple equations (e.g., \( 150 - x = 95 \)).  

   Problem-Solving: Multi-step word problems using equations.  

Essential Skills & Practices

Problem-Solving: Apply math to real-world contexts (e.g., budgeting, measurements in recipes).  

   Mathematical Reasoning: Explain solutions orally/written; critique others’ logic.  

   Modelling: Use diagrams, equations, and manipulatives (e.g., fraction tiles, grids).  

   Precision: Label units, round decimals appropriately, check work.  

Suggested Pacing (36-Week School Year) 

| Term    |                                      Focus Areas**                                                                   |  

 

| Term 1   | Place value; multi-digit operations; fractions (equivalence, adding/subtracting).|  

| Term 2   | Fractions (multiplying/dividing); decimals (operations, conversions).                |  

| Term 3   | Measurement (conversions, volume); geometry (shapes, coordinates).               | 

 

| Term 4   | Data analysis; algebraic thinking; end-of-year review & projects.                       |  

Key Resources for 2025  

Manipulatives: Fraction circles, base-ten blocks, geometric solids, protractors.  

Digital Tools:  

    Adaptive apps (e.g., IXL, Prodigy, Khan Academy).  

    Virtual manipulatives (PhET Simulations, Math Learning Centre).  

Textbooks: Eureka Math,  Singapore Math Dimensions, or  Go Math! (2025 editions).  

Assessment 

Formative: Exit tickets, quizzes, group problem-solving tasks.  

Summative: Unit tests, projects (e.g., design a garden using area/volume), portfolios.  

Focus: Mastery of core concepts (especially fractions/decimals) over speed.  

Why This Syllabus Works in 2025  

1. Future-Ready Skills: Focus on data literacy, spatial reasoning, and algebraic thinking.  

2. Flexibility: Adapts to diverse learners (supports acceleration/remediation).  

3. Global Standards: Aligns with trends in PISA, TIMSS, and STEM education.  

Let me know if you’d like activity ideas, sample lesson plans, or differentiation strategies!