🧠 A bold step into advanced math concepts, logical thinking, and real-world applications.

Grade 5 challenges learners with deeper number operations, fractions, decimals, percentages, and geometry. Students begin exploring algebraic thinking and data analysis while solving multi-step problems with confidence and clarity.

🔢 Numbers & Place Value

🔢 Read, write, and compare numbers up to 10,00,000 or 10 million
📄 Expanded and standard form
🌍 Place and face value (Indian and International systems)
🎯 Rounding numbers to nearest 10, 100, 1,000, or 10,000
🏛️ Roman numerals up to 1,000

➕➖✖️➗ Operations & Word Problems

➕ Addition, subtraction, multiplication, and division of large numbers
➗ Long division with 2-digit divisors
🧠 Multi-step word problems
📐 Estimation and checking for reasonableness
🔣 Order of operations (BODMAS/PEMDAS)

🧮 Fractions

🍕 Equivalent and improper fractions, mixed numbers
➕➖ Addition and subtraction of like and unlike fractions
✖️➗ Intro to multiplication and division of fractions
⚖️ Comparing and ordering fractions
🔁 Converting between improper fractions and mixed numbers

🔟 Decimals

🔢 Read and write decimals to thousandths
➕➖ Add, subtract, and compare decimals
🔄 Convert decimals to fractions and vice versa
💰 Solve word problems involving money and measurement

📊 Percentage

💯 Understand percent as a part of 100
🔄 Convert between fractions, decimals, and percentages
🧮 Calculate simple percentages (e.g., 10%, 25%, 50%)
🛍️ Apply percentages in real-life (discounts, marks, etc.)

📐 Measurement

📏 Convert units of length, weight, and capacity (metric)
📐 Calculate perimeter and area of rectangles, squares, composite shapes
📦 Intro to volume of cubes and cuboids
🧠 Solve word problems involving measurement

⏰ Time

🕰️ Read 12-hour and 24-hour clocks
🔄 Convert between hours, minutes, and seconds
⏳ Calculate duration and elapsed time
📅 Interpret timetables and schedules

🔺 Geometry

📐 Types and properties of angles (acute, obtuse, reflex, right)
📏 Measure angles using a protractor
🔺 Understand triangle types: scalene, isosceles, equilateral
🧩 Classify quadrilaterals
⚪ Explore circles: radius, diameter, chord, arc

📈 Data Handling & Graphs

📊 Interpret and draw bar graphs, line graphs, pie charts (intro)
🧾 Organize data into tables and charts
📉 Understand mean (average), mode, and range

🔁 Patterns & Algebra (Intro)

🔢 Identify number and shape patterns
🧠 Solve basic algebraic expressions using variables
🔁 Understand and complete input/output tables

🎯 Learning Goals by the End of Grade 5

🧮 Master all four operations with large numbers and decimals
💯 Fluently work with fractions, percentages, and data
📐 Understand geometry and measurement in depth
🧠 Solve multi-step real-life math problems
🧩 Begin thinking algebraically and logically