# Grade 1: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 27 concepts ready. In the app: https://ai.page/roadmap/nc-grade-1 Part of: [North Carolina: Mathematics](https://ai.page/roadmap/nc.md) Goal: North Carolina academic standards: Mathematics, Grade 1 ## 1. Geometry - [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 - [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 - [Building with 3-D Shapes](https://ai.page/c/building-with-3-d-shapes/index.md): Compose three-dimensional shapes (cubes, right rectangular prisms, right circular cones, right circular cylinders) and create composite shapes; build new shapes from component shapes - [Angles in triangles (age 6+)](https://ai.page/c/angles-in-triangles-age-6/index.md): Distinguish defining attributes of shapes (e.g. triangles are closed and three-sided) from non-defining attributes (e.g. colour, orientation, overall size) ## 2. Measurement and Data - [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 - [Sorting into categories (age 6+)](https://ai.page/c/sorting-into-categories-age-6/index.md): Interpret categorical data by asking and answering questions about totals, how many in each category, and how many more or less one category has than another - [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: Hours and Half Hours](https://ai.page/c/telling-time-hours-and-half-hours/index.md): Tell the time to the hour and half past the hour, and draw clock hands to show these times - [Measuring length (age 6+)](https://ai.page/c/measuring-length-age-6/index.md): Measure the length of an object using same-size length units laid end to end with no gaps or overlaps - [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 - [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 ## 3. Number and Operations in Base Ten - [Subtracting multiples of 10](https://ai.page/c/subtracting-multiples-of-10/index.md): Subtract multiples of 10 (10–90) from multiples of 10 using place value strategies - [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 - [10 More or 10 Less](https://ai.page/c/10-more-or-10-less/index.md): Mentally find 10 more or 10 less than a given two-digit number without counting - [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 - [Adding within 100](https://ai.page/c/adding-within-100/index.md): Add within 100 using strategies based on place value, including adding a two-digit and one-digit number, and a two-digit and a multiple of 10 - [Comparing and ordering numbers](https://ai.page/c/comparing-and-ordering-numbers/index.md): Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding - [Reading and writing numbers to 20](https://ai.page/c/reading-and-writing-numbers-to-20/index.md): Read and write numerals from 0 to 20 - [Reading and writing numbers to 100](https://ai.page/c/reading-and-writing-numbers-to-100/index.md): Read and write numerals from 0 to 100 - [Counting in 2s](https://ai.page/c/counting-in-2s/index.md): Count in multiples of 2, 5, and 10 (skip counting) ## 4. Operations and Algebraic Thinking - [What the equals sign means](https://ai.page/c/what-the-equals-sign-means/index.md): Understand the meaning of the equal sign as 'is the same as' and determine if equations are true or false - [Unknown in Addition & Subtraction](https://ai.page/c/unknown-in-addition-and-subtraction/index.md): Determine the unknown whole number in an addition or subtraction equation relating three whole numbers - [Fluent adding and subtracting within 10](https://ai.page/c/fluent-adding-and-subtracting-within-10/index.md): Fluently add and subtract within 10 - [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 - [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 - [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 ## Health: 0 of 100 Of its 27 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): - Halves & Quarters of Shapes has no explanation yet - Composing Shapes has no explanation yet - Building with 3-D Shapes has no explanation yet - Angles in triangles (age 6+) has no explanation yet - Sorting Data into Categories has no explanation yet - Sorting into categories (age 6+) has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Telling Time: Hours and Half Hours comes before Reading and writing numbers to 20, which it needs - Telling Time: Hours and Half Hours has no explanation yet - Measuring length (age 6+) has no explanation yet - Measuring with different units has no explanation yet - Measuring length has no explanation yet - Comparing lengths by measuring has no explanation yet - Subtracting multiples of 10 has no explanation yet - The two digits of a two-digit number has no explanation yet - 10 More or 10 Less has no explanation yet - Adding numbers has no explanation yet - Adding within 100 comes before Addition and subtraction within 20, which it needs - Adding within 100 has no explanation yet - Comparing and ordering numbers has no explanation yet - Reading and writing numbers to 20 has no explanation yet - Reading and writing numbers to 100 has no explanation yet - Counting in 2s has no explanation yet - What the equals sign means has no explanation yet - Unknown in Addition & Subtraction has no explanation yet - Fluent adding and subtracting within 10 has no explanation yet - Addition and subtraction within 20 has no explanation yet - Properties of Operations has no explanation yet - Addition and subtraction word problems has no explanation yet Credit: The structure of North Carolina academic standards: Mathematics (http://www.ncpublicschools.org/docs/curriculum/mathematics/scos/0617-adopted-k-8-standards.pdf); 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.