# Class 2: 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-2 Part of: [NCERT: Mathematics](https://ai.page/roadmap/in-ncert.md) Goal: NCERT syllabus (National Council of Educational Research and Training): Mathematics, Class 2 ## 1. Geometry · SHAPES & SPATIAL UNDERSTANDING - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn ## 2. Geometry · 3-D and 2-D Shapes - [3-D shapes](https://ai.page/c/3-d-shapes/index.md): Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones) - [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares) - [2-D shapes (age 6+)](https://ai.page/c/2-d-shapes-age-6/index.md): Identify and describe properties of 2-D shapes including the number of sides and line symmetry in a vertical line - [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-D faces on 3-D shapes](https://ai.page/c/2-d-faces-on-3-d-shapes/index.md): Identify 2-D shapes on the surface of 3-D shapes (e.g. a circle on a cylinder, a triangle on a pyramid) ## 3. Numbers - [Number Words to 100](https://ai.page/c/number-words-to-100/index.md): Read and write numbers to at least 100 in words - [Place Value Problem-Solving](https://ai.page/c/place-value-problem-solving/index.md): Solve number and practical problems involving place value with increasingly large positive numbers - [Tenths](https://ai.page/c/tenths/index.md): Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and from dividing one-digit numbers or quantities by 10 - [Counting in 2s](https://ai.page/c/counting-in-2s/index.md): Count in multiples of 2, 5, and 10 (skip counting) - [Ordering Numbers to 1000](https://ai.page/c/ordering-numbers-to-1000/index.md): Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding - [The two digits of a two-digit number](https://ai.page/c/the-two-digits-of-a-two-digit-number/index.md): Understand that the two digits of a two-digit number represent amounts of tens and ones - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line/index.md): Represent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram ## 4. Numbers · ADDITION AND SUBTRACTION - [Adding two two-digit numbers](https://ai.page/c/adding-two-two-digit-numbers/index.md): Add and subtract two two-digit numbers using concrete objects, pictorial representations, and mental methods - [Adding and subtracting](https://ai.page/c/adding-and-subtracting/index.md): Add and subtract one-digit and two-digit numbers to 20, including zero - [Addition as combining or putting together two](https://ai.page/c/addition-as-combining-or-putting-together-two/index.md): Understand addition as combining or putting together two groups to find the total - [Addition in any order](https://ai.page/c/addition-in-any-order/index.md): Understand and apply the commutative property of addition: addends can be added in any order - [Representing Addition and Subtraction](https://ai.page/c/representing-addition-and-subtraction/index.md): Represent addition and subtraction using objects, drawings, and mental images - [Addition and subtraction word problems](https://ai.page/c/addition-and-subtraction-word-problems/index.md): Solve addition and subtraction word problems within 10 using objects or drawings - [Mental and written addition and subtraction](https://ai.page/c/mental-and-written-addition-and-subtraction/index.md): Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures - [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 ## 5. Numbers · PREPARATION FOR MULTIPLICATION AND DIVISION - [Multiplication as repeated addition (age 6+)](https://ai.page/c/multiplication-as-repeated-addition-age-6/index.md): Solve problems involving multiplication and division using arrays, repeated addition, mental methods, and known facts - [Division as equal sharing](https://ai.page/c/division-as-equal-sharing/index.md): Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made) ## 6. MENTAL ARITHMETIC - [Mentally adding hundreds to 3-digit numbers](https://ai.page/c/mentally-adding-hundreds-to-3-digit-numbers/index.md): Mentally add and subtract a three-digit number and hundreds - [Mental addition and subtraction (age 7+)](https://ai.page/c/mental-addition-and-subtraction-age-7/index.md): Mentally add and subtract a three-digit number and ones - [Adding and subtracting tens mentally](https://ai.page/c/adding-and-subtracting-tens-mentally/index.md): Add and subtract a two-digit number and tens mentally and using concrete/pictorial representations ## 7. Money - [Coin Values](https://ai.page/c/coin-values/index.md): Recognise and know the value of different coins and notes ## 8. 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 - [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 - [Measuring & Plotting Lengths](https://ai.page/c/measuring-and-plotting-lengths/index.md): Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot ## 9. Measurement · WEIGHT - [Measuring mass and weight (age 4+)](https://ai.page/c/measuring-mass-and-weight-age-4/index.md): Compare two objects directly by mass or weight and describe the difference using language such as heavy, light, heavier than, lighter than ## 10. Measurement · CAPACITY (VOLUME) - [Comparing and ordering measurements](https://ai.page/c/comparing-and-ordering-measurements/index.md): Compare and order lengths, mass, and capacity and record results using >, <, and = ## 11. Measurement · TIME - [Days, Weeks, Months & Years](https://ai.page/c/days-weeks-months-and-years/index.md): Recognise and use language relating to dates, including days of the week, weeks, months, and years - [Sequence intervals of time](https://ai.page/c/sequence-intervals-of-time/index.md): Compare and sequence intervals of time ## 12. Data Handling - [Representing numbers with objects (age 8+)](https://ai.page/c/representing-numbers-with-objects-age-8/index.md): Draw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts, pictograms, and tables ## 13. Patterns - [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences - [Shape patterns](https://ai.page/c/shape-patterns/index.md): Look for and use mathematical structure: apply properties of operations, place-value patterns, and relationships between shapes to solve problems efficiently ## 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): - Understanding angles has no explanation yet - 3-D shapes has no explanation yet - 2-D shapes has no explanation yet - 2-D shapes (age 6+) has no explanation yet - 2-D shapes (age 7+) has no explanation yet - 2-D faces on 3-D shapes has no explanation yet - Number Words to 100 has no explanation yet - Place Value Problem-Solving has no explanation yet - Tenths has no explanation yet - Counting in 2s has no explanation yet - Ordering Numbers to 1000 has no explanation yet - The two digits of a two-digit number has no explanation yet - Numbers on a number line has no explanation yet - Adding two two-digit numbers comes before Adding and subtracting tens mentally, which it needs - Adding two two-digit numbers has no explanation yet - Adding and subtracting has no explanation yet - Addition as combining or putting together two has no explanation yet - Addition in any order has no explanation yet - Representing Addition and Subtraction has no explanation yet - Addition and subtraction word problems has no explanation yet - Mental and written addition and subtraction has no explanation yet - Estimating by rounding has no explanation yet - Multiplication as repeated addition (age 6+) has no explanation yet - Division as equal sharing has no explanation yet - Mentally adding hundreds to 3-digit numbers has no explanation yet - Mental addition and subtraction (age 7+) has no explanation yet - Adding and subtracting tens mentally has no explanation yet - Coin Values has no explanation yet - Measuring with different units has no explanation yet - Comparing lengths by measuring has no explanation yet - Measuring & Plotting Lengths has no explanation yet - Measuring mass and weight (age 4+) has no explanation yet - Comparing and ordering measurements has no explanation yet - Days, Weeks, Months & Years has no explanation yet - Sequence intervals of time has no explanation yet - Representing numbers with objects (age 8+) has no explanation yet - Patterns & Sequences has no explanation yet - Shape patterns 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.