India · CBSE Learning Outcomes
Class 4 Mathematics
A comprehensive exploration of fourth grade mathematics focusing on place value, fractional reasoning, and spatial awareness. Students develop fluency in multi-digit operations while applying mathematical logic to real world measurement and data scenarios.
01The World of Large Numbers
Students extend their understanding of the base ten system to include numbers up to five digits and explore the relative magnitude of numbers.
Students will explore the structure of the Hindu-Arabic number system, focusing on the value of digits based on their position up to five places.
Students will practice reading and writing numbers up to 99,999 in both standard and word form, using Indian and International systems.
Students will develop strategies to compare and order numbers up to five digits using place value understanding.
Students will learn to estimate values and round numbers to the nearest ten and hundred to simplify calculations.
Students will extend their rounding skills to the nearest thousand and ten thousand, applying these to real-world contexts.
Students will learn the basic symbols and rules for forming Roman numerals up to 100.
02Operational Fluency
Mastering multi-digit addition, subtraction, multiplication, and division through conceptual understanding and efficient algorithms.
Students will practice adding numbers up to five digits with multiple regroupings, using standard algorithms.
Students will master subtracting numbers up to five digits with multiple regroupings, including across zeros.
Students will explore multiplication conceptually through repeated addition and area models, building foundational understanding.
Students will develop fluency in multiplying multi-digit numbers by a single-digit number using various strategies.
Students will learn and apply the standard algorithm for multiplying two-digit numbers by two-digit numbers.
Students will explore division conceptually as distributing equally and as taking away groups repeatedly.
Students will perform division with single-digit divisors, focusing on understanding and interpreting remainders.
Students will identify factors of numbers up to 50 and understand their relationship to multiplication.
Students will identify multiples of numbers and understand their connection to skip counting.
03Parts of a Whole: Fractions
Investigating fractional parts, equivalent fractions, and basic operations with like denominators.
Students will define and represent unit fractions using various models, understanding them as one part of a whole.
Students will locate and represent fractions on a number line, understanding their position relative to whole numbers.
Students will find fractional parts of a set or collection of objects.
Students will use visual models (area models, fraction strips) to identify and create equivalent fractions.
Students will compare fractions that have the same denominator using visual models and reasoning.
Students will compare fractions that have the same numerator, understanding the inverse relationship with the denominator.
Students will add fractions with common denominators, understanding that only the numerators are combined.
04Shapes, Symmetry and Space
Exploring two dimensional shapes, angles, and the concept of symmetry in the environment.
Students will identify and differentiate between parallel, perpendicular, and intersecting lines in various contexts.
Students will define rays and angles, identifying the vertex and arms of an angle.
Students will classify angles as right, acute, or obtuse using visual comparisons and benchmarks.
Students will identify lines of symmetry in two-dimensional shapes and real-world objects.
Students will design and draw symmetrical patterns and figures, understanding the concept of reflection.
Students will identify and understand the key components of a circle: center, radius, and diameter.
05Measuring the World
Applying units of measure to length, weight, capacity, and time to solve practical problems.
Students will measure lengths of objects using centimeters and meters, understanding the relationship between the units.
Students will convert between centimeters and meters, applying their understanding of place value.
Students will measure the weight of objects using grams and kilograms, understanding appropriate unit selection.
Students will convert between grams and kilograms, reinforcing their understanding of metric prefixes.
Students will measure liquid capacity using milliliters and liters, selecting appropriate tools and units.
Students will convert between milliliters and liters, applying their knowledge of metric conversions.
Students will calculate the perimeter of rectangles and squares by adding side lengths.
Students will find the area of rectangles and squares by counting unit squares and understanding the concept of square units.
Students will calculate the area of rectangles and squares using multiplication of length and width.
Students will read and interpret time on both analog and digital clocks to the nearest minute.
06Data and Logic
Collecting, organizing, and interpreting data to make informed decisions and identify trends.
Students will learn to collect data systematically using tally marks and simple surveys.
Students will organize collected data into frequency tables, making it easier to analyze.
Students will interpret information presented in pictographs, understanding the use of keys.
Students will create their own pictographs from given data, choosing appropriate symbols and keys.
Students will interpret information presented in bar graphs, understanding axes and scales.
Students will create their own bar graphs from given data, labeling axes and choosing appropriate scales.
Students will identify the rule in a given number pattern and extend the sequence.
Students will identify and create patterns using geometric shapes, including simple tiling patterns.