# Class 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 36 concepts ready. In the app: https://ai.page/roadmap/in-ncert-class-3 Part of: [NCERT: Mathematics](https://ai.page/roadmap/in-ncert.md) Goal: NCERT syllabus (National Council of Educational Research and Training): Mathematics, Class 3 ## 1. Geometry · SHAPES & SPATIAL UNDERSTANDING - [Composing Shapes](https://ai.page/c/composing-shapes/index.md): Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape - [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 - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn - [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 - [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 ## 2. Numbers · NUMBER SEQUENCE UPTO 1000 - [Reading and writing numbers to 1000](https://ai.page/c/reading-and-writing-numbers-to-1000/index.md): Read and write numbers to 1000 in numerals, number names, and expanded form - [Place Value to 1000](https://ai.page/c/place-value-to-1000/index.md): Solve number problems and practical problems involving place value of numbers up to 1000 - [Counting Within 1,000](https://ai.page/c/counting-within-1-000/index.md): Count within 1000, including skip-counting by 5s, 10s, and 100s ## 3. Numbers - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 - [Working with Large Numbers](https://ai.page/c/working-with-large-numbers/index.md): Solve number and practical problems involving reading, writing, ordering, comparing, and rounding whole numbers up to 1,000,000 ## 4. Numbers · ADDITION AND SUBTRACTION - [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 numbers](https://ai.page/c/adding-numbers/index.md): Add up to four two-digit numbers using strategies based on place value and properties of operations - [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-maths/index.md): Solve word problems involving addition and subtraction of fractions with like denominators, using visual models and equations - [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 ## 5. Numbers · MULTIPLICATION - [Multiplication as repeated addition](https://ai.page/c/multiplication-as-repeated-addition/index.md): Understand multiplication as repeated addition and grouping equal sets - [What Multiplication Means](https://ai.page/c/what-multiplication-means/index.md): Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7) - [Times tables](https://ai.page/c/times-tables/index.md): Recall and use multiplication and division facts for the 2, 5, and 10 multiplication tables - [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 ## 6. Numbers · DIVISION - [What Division Means](https://ai.page/c/what-division-means/index.md): Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups) - [All times tables to 12×12](https://ai.page/c/all-times-tables-to-12-12/index.md): Recall multiplication and division facts for multiplication tables up to 12 × 12 ## 7. 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 ## 8. FRACTIONAL NUMBERS - [Fractions of amounts](https://ai.page/c/fractions-of-amounts/index.md): Recognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity - [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 - [Fraction-Decimal Equivalents](https://ai.page/c/fraction-decimal-equivalents/index.md): Recognise and write decimal equivalents of 1/4, 1/2, and 3/4 ## 9. Measurement · LENGTH - [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 ## 10. Measurement · Length - [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres ## 11. Measurement · Weight - [Measuring mass and weight](https://ai.page/c/measuring-mass-and-weight/index.md): Measure and begin to record mass/weight using non-standard and standard units ## 12. Measurement · Volume - [Capacity and volume](https://ai.page/c/capacity-and-volume/index.md): Measure and begin to record capacity and volume using non-standard and standard units ## 13. Measurement · Time - [Sequence intervals of time](https://ai.page/c/sequence-intervals-of-time/index.md): Compare and sequence intervals of time - [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 ## 14. Data Handling - [Pictograms and tally charts](https://ai.page/c/pictograms-and-tally-charts/index.md): Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables ## 15. Patterns - [Shape patterns](https://ai.page/c/shape-patterns-maths/index.md): Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur - [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences ## Health: 0 of 100 Of its 36 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): - Composing Shapes has no explanation yet - 2-D shapes (age 6+) has no explanation yet - 2-D shapes (age 7+) has no explanation yet - Understanding angles has no explanation yet - Transformations on a grid has no explanation yet - Area by Tiling has no explanation yet - Reading and writing numbers to 1000 has no explanation yet - Place Value to 1000 has no explanation yet - Counting Within 1,000 has no explanation yet - Comparing Large Numbers has no explanation yet - Working with Large Numbers has no explanation yet - Adding and subtracting mixed numbers has no explanation yet - Adding numbers has no explanation yet - Representing Addition and Subtraction has no explanation yet - Addition and subtraction word problems has no explanation yet - Numbers on a number line has no explanation yet - Multiplication as repeated addition has no explanation yet - What Multiplication Means has no explanation yet - Times tables has no explanation yet - Written Multiplication comes before All times tables to 12×12, which it needs - Written Multiplication has no explanation yet - What Division Means has no explanation yet - All times tables to 12×12 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 - Fractions of amounts has no explanation yet - Fractions of a whole has no explanation yet - Fraction-Decimal Equivalents has no explanation yet - Comparing lengths by measuring has no explanation yet - Estimating Lengths has no explanation yet - Measuring mass and weight has no explanation yet - Capacity and volume has no explanation yet - Sequence intervals of time has no explanation yet - Estimating answers (age 7+) has no explanation yet - Pictograms and tally charts has no explanation yet - Shape patterns has no explanation yet - Patterns & Sequences 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.