# Grade 1: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 30 concepts ready. In the app: https://ai.page/roadmap/sc-grade-1 Part of: [South Carolina: Mathematics](https://ai.page/roadmap/sc.md) Goal: South Carolina academic standards: Mathematics, Grade 1 ## 1. Patterns, Algebra, and Functional Reasoning · Recognize, describe, extend, and create patterns. - [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences - [Extending Table Patterns](https://ai.page/c/extending-table-patterns/index.md): Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences ## 2. Patterns, Algebra, and Functional Reasoning · Understand and apply properties of operations and the relationship between addition and subtraction to solve problems. - [Finding a missing number in addition](https://ai.page/c/finding-a-missing-number-in-addition/index.md): Understand subtraction as finding an unknown addend (e.g. 10 − 8 = ? is the same as 8 + ? = 10) - [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 - [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 - [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 - [Addition and subtraction within 20](https://ai.page/c/addition-and-subtraction-within-20/index.md): Add and subtract within 20 using strategies such as making ten, decomposing a number leading to ten, and using known facts - [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 ## 3. Numerical Reasoning · Represent partitioned shapes in multiple ways using part-whole relationships. - [Halves & Quarters of Shapes](https://ai.page/c/halves-and-quarters-of-shapes/index.md): Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters ## 4. Numerical Reasoning · Demonstrate the ability to compare quantities of objects and numerals representing quantities of objects. - [Comparing groups: more or fewer](https://ai.page/c/comparing-groups-more-or-fewer/index.md): Compare two groups of objects to determine which has more, fewer, or whether they are equal, using matching and counting strategies ## 5. Numerical Reasoning · Explain the relationship between numbers and quantities. - [Connecting Representations](https://ai.page/c/connecting-representations/index.md): Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning) - [Counting forwards and backwards](https://ai.page/c/counting-forwards-and-backwards/index.md): Count forwards and backwards in steps of 3 from 0 ## 6. Numerical Reasoning · Represent multi-digit numbers in a variety of ways to build place value understanding. - [The three digits of a three-digit number](https://ai.page/c/the-three-digits-of-a-three-digit-number/index.md): Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones - [10 or 100 More or Less](https://ai.page/c/10-or-100-more-or-less/index.md): Find 10 or 100 more or less than a given number up to 1000 - [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 - [Place value understanding and number facts](https://ai.page/c/place-value-understanding-and-number-facts/index.md): Use place value understanding and number facts to solve problems - [Representing Numbers](https://ai.page/c/representing-numbers/index.md): Identify, represent, and estimate numbers using different representations including the number line - [Place value of each digit](https://ai.page/c/place-value-of-each-digit/index.md): Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) ## 7. Measurement, Geometry, and Spatial Reasoning · Analyze, describe, and manipulate shapes to make sense of their relationships in mathematical and real-world situations. - [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares) - [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) - [3-D shapes (age 5+)](https://ai.page/c/3-d-shapes-age-5/index.md): Analyse and compare 2-D and 3-D shapes using informal language to describe sides, vertices, and other attributes - [Sorting 2-D and 3-D shapes](https://ai.page/c/sorting-2-d-and-3-d-shapes/index.md): Compare and sort common 2-D and 3-D shapes and everyday objects by their properties ## 8. Measurement, Geometry, and Spatial Reasoning · Describe, estimate, measure, and compare objects in real-world situations using units of length, weight, money, and time. - [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 = - [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 - [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 - [Halves and quarters (age 7+)](https://ai.page/c/halves-and-quarters-age-7/index.md): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately - [Telling time to the minute](https://ai.page/c/telling-time-to-the-minute/index.md): Measure and begin to record time in hours, minutes, and seconds - [Measuring length](https://ai.page/c/measuring-length/index.md): Order three objects by length and compare the lengths of two objects indirectly using a third object - [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 ## 9. Data, Probability, Statistical Reasoning · Create and answer survey questions, collect and analyze data, and communicate through multiple representations.Sort pictures or objects into at least three c - [Sorting Data into Categories](https://ai.page/c/sorting-data-into-categories/index.md): Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity ## Health: 0 of 100 Of its 30 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): - Patterns & Sequences has no explanation yet - Extending Table Patterns has no explanation yet - Finding a missing number in addition has no explanation yet - Adding numbers has no explanation yet - Addition and subtraction word problems has no explanation yet - Addition in any order has no explanation yet - Addition and subtraction within 20 has no explanation yet - Shape patterns has no explanation yet - Halves & Quarters of Shapes has no explanation yet - Comparing groups: more or fewer has no explanation yet - Connecting Representations has no explanation yet - Counting forwards and backwards has no explanation yet - The three digits of a three-digit number has no explanation yet - 10 or 100 More or Less has no explanation yet - Place Value to 1000 has no explanation yet - Place value understanding and number facts has no explanation yet - Representing Numbers has no explanation yet - Place value of each digit has no explanation yet - 2-D shapes has no explanation yet - 3-D shapes has no explanation yet - 3-D shapes (age 5+) has no explanation yet - Sorting 2-D and 3-D shapes has no explanation yet - Comparing and ordering measurements has no explanation yet - Calculating with measurements has no explanation yet - Measuring with different units has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Telling time to the minute has no explanation yet - Measuring length has no explanation yet - Comparing lengths by measuring has no explanation yet - Sorting Data into Categories has no explanation yet Credit: The structure of South Carolina academic standards: Mathematics (https://ed.sc.gov/instruction/standards/mathematics/standards/2025-south-carolina-college-and-career-ready-mathematics-standards/); 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.