# Class 4: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 37 concepts ready. In the app: https://ai.page/roadmap/in-ncert-class-4 Part of: [NCERT: Mathematics](https://ai.page/roadmap/in-ncert.md) Goal: NCERT syllabus (National Council of Educational Research and Training): Mathematics, Class 4 ## 1. Geometry · SHAPES & SPATIAL UNDERSTANDING - [Parts of a circle](https://ai.page/c/parts-of-a-circle/index.md): Illustrate and name parts of circles, including radius, diameter, and circumference; know that the diameter is twice the radius - [Classifying shapes by properties](https://ai.page/c/classifying-shapes-by-properties/index.md): Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties - [Area by Tiling](https://ai.page/c/area-by-tiling/index.md): Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths - [Perimeter (age 10+)](https://ai.page/c/perimeter-age-10/index.md): Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically - [Nets of 3-D Shapes](https://ai.page/c/nets-of-3-d-shapes/index.md): Identify, draw, and interpret nets of common 3-D shapes — cubes, cuboids, triangular prisms, and square-based pyramids — by predicting which 3-D shape a given flat arrangement of faces will fold into, checking whether a net will close completely, and sketching a net from a description or 3-D model; understand the relationship between the number of faces and the structure of the net - [Transformations on a grid](https://ai.page/c/transformations-on-a-grid/index.md): Represent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines, including the axes), translations (described as a vector or as left/right/up/down moves), and rotations (90° or 180° about a stated centre point); describe each transformation precisely using the correct language; identify which transformation maps one shape onto its image by comparing position, orientation, and size - [2-D shapes (age 7+)](https://ai.page/c/2-d-shapes-age-7/index.md): Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them ## 2. Numbers · NUMBERS AND OPERATIONS - [Written Multiplication](https://ai.page/c/written-multiplication/index.md): Multiply two-digit and three-digit numbers by a one-digit number using formal written layout ## 3. Numbers - [Adding and subtracting mixed numbers](https://ai.page/c/adding-and-subtracting-mixed-numbers/index.md): Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations - [Adding fractions (different denominators)](https://ai.page/c/adding-fractions-different-denominators/index.md): Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator - [Division with Decimals](https://ai.page/c/division-with-decimals/index.md): Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers - [Properties of Operations](https://ai.page/c/properties-of-operations/index.md): Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide - [Estimating by rounding](https://ai.page/c/estimating-by-rounding/index.md): Estimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning ## 4. MENTAL ARITHMETIC - [Mental addition and subtraction (age 9+)](https://ai.page/c/mental-addition-and-subtraction-age-9/index.md): Add and subtract numbers mentally with increasingly large numbers, using place-value knowledge and derived facts - [Mental multiplication and division (age 9+)](https://ai.page/c/mental-multiplication-and-division-age-9/index.md): Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments ## 5. FRACTIONAL NUMBERS - [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b - [Comparing fractions (age 8+)](https://ai.page/c/comparing-fractions-age-8/index.md): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols - [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators - [Decimals for Tenths & Hundredths](https://ai.page/c/decimals-for-tenths-and-hundredths/index.md): Use decimal notation for fractions with denominators 10 or 100; read and write decimal numbers as fractions (e.g. 0.62 = 62/100, 0.71 = 71/100) ## 6. Measurement · LENGTH - [Measuring with different units](https://ai.page/c/measuring-with-different-units/index.md): Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen - [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units - [Comparing lengths by measuring](https://ai.page/c/comparing-lengths-by-measuring/index.md): Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit ## 7. Measurement · Length - [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres ## 8. Measurement · Weight - [Measuring Liquids & Masses](https://ai.page/c/measuring-liquids-and-masses/index.md): Measure and estimate liquid volumes and masses of objects using grams, kilograms, and litres; solve one-step word problems involving mass or volume ## 9. Measurement · Volume - [Measuring length (age 10+)](https://ai.page/c/measuring-length-age-10/index.md): Recognise volume as an attribute of solid figures; understand that a unit cube (side length 1 unit) has 'one cubic unit' of volume and can be used to measure volume; a solid packed with n unit cubes has volume n cubic units - [Counting Unit Cubes](https://ai.page/c/counting-unit-cubes/index.md): Measure volumes by counting unit cubes using cubic cm, cubic in, cubic ft, and other units ## 10. Measurement · Time - [Telling time to the minute (age 9+)](https://ai.page/c/telling-time-to-the-minute-age-9/index.md): Solve problems involving converting between units of time (hours↔minutes, minutes↔seconds, years↔months, weeks↔days) - [Time Units and Calendar Facts](https://ai.page/c/time-units-and-calendar-facts/index.md): Know the number of seconds in a minute and the number of days in each month, year, and leap year - [Telling time to the minute (age 7+)](https://ai.page/c/telling-time-to-the-minute-age-7/index.md): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation - [Telling time to the minute (age 8+)](https://ai.page/c/telling-time-to-the-minute-age-8/index.md): Tell and write time to the nearest minute using analogue and digital clocks - [Estimating answers (age 7+)](https://ai.page/c/estimating-answers-age-7/index.md): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours - [Comparing Time Durations](https://ai.page/c/comparing-time-durations/index.md): Compare durations of events and calculate the time taken by particular events or tasks ## 11. Data Handling - [Pictograms and tally charts (age 6+)](https://ai.page/c/pictograms-and-tally-charts-age-6/index.md): Read, write, and use the vocabulary of data collection and display — data, tally, tally chart, frequency, frequency table, survey, pictogram, bar chart, axis/axes, scale, label, category, discrete data, continuous data, line graph, pie chart — and apply these terms when collecting, organising, and presenting data - [Picture & Bar Graphs](https://ai.page/c/picture-and-bar-graphs/index.md): Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph ## 12. Patterns - [Patterns in Times Tables](https://ai.page/c/patterns-in-times-tables/index.md): Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations - [Multiplying and dividing](https://ai.page/c/multiplying-and-dividing/index.md): Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000 - [Classifying shapes by line properties](https://ai.page/c/classifying-shapes-by-line-properties/index.md): Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category ## Health: 0 of 100 Of its 37 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Parts of a circle has no explanation yet - Classifying shapes by properties comes before Classifying shapes by line properties, which it needs - Classifying shapes by properties has no explanation yet - Area by Tiling has no explanation yet - Perimeter (age 10+) has no explanation yet - Nets of 3-D Shapes has no explanation yet - Transformations on a grid has no explanation yet - 2-D shapes (age 7+) has no explanation yet - Written Multiplication has no explanation yet - Adding and subtracting mixed numbers has no explanation yet - Adding fractions (different denominators) has no explanation yet - Division with Decimals has no explanation yet - Properties of Operations has no explanation yet - Estimating by rounding has no explanation yet - Mental addition and subtraction (age 9+) has no explanation yet - Mental multiplication and division (age 9+) has no explanation yet - Fractions of a whole has no explanation yet - Comparing fractions (age 8+) has no explanation yet - Equivalent fractions has no explanation yet - Decimals for Tenths & Hundredths has no explanation yet - Measuring with different units has no explanation yet - Calculating with measurements has no explanation yet - Comparing lengths by measuring has no explanation yet - Estimating Lengths has no explanation yet - Measuring Liquids & Masses has no explanation yet - Measuring length (age 10+) has no explanation yet - Counting Unit Cubes has no explanation yet - Telling time to the minute (age 9+) has no explanation yet - Time Units and Calendar Facts has no explanation yet - Telling time to the minute (age 7+) has no explanation yet - Telling time to the minute (age 8+) has no explanation yet - Estimating answers (age 7+) has no explanation yet - Comparing Time Durations has no explanation yet - Pictograms and tally charts (age 6+) has no explanation yet - Picture & Bar Graphs has no explanation yet - Patterns in Times Tables has no explanation yet - Multiplying and dividing has no explanation yet - Classifying shapes by line properties has no explanation yet Credit: The structure of NCERT syllabus (National Council of Educational Research and Training): Mathematics (https://ncert.nic.in/syllabus.php?ln=en); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.