# 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/ccss-math-grade-1 Part of: [Common Core: Maths](https://ai.page/roadmap/ccss-math.md) Goal: Common Core State Standards for Mathematics, Grade 1 ## 1. G · Reason with shapes and their attributes. - [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) - [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 - [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 - [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 - [Decomposing a shape into more equal shares](https://ai.page/c/decomposing-a-shape-into-more-equal-shares/index.md): Understand that decomposing a shape into more equal shares creates smaller shares ## 2. MD · Measure lengths indirectly and by iterating length units. - [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 - [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 ## 3. MD · Tell and write time. - [Telling Time: Minutes](https://ai.page/c/telling-time-minutes/index.md): Tell and write the time to five minutes, including quarter past and quarter to, and draw clock hands to show these times ## 4. MD · Represent and interpret 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 ## 5. NBT · Extend the counting sequence. - [Reading and writing numbers to 120](https://ai.page/c/reading-and-writing-numbers-to-120/index.md): Count to 120 starting at any number less than 120; read and write numerals to 120 ## 6. NBT · Understand place value. - [The teen numbers](https://ai.page/c/the-teen-numbers/index.md): Understand that the teen numbers (11–19) are composed of ten ones and some further ones (early place value) - [A Ten Is Ten Ones](https://ai.page/c/a-ten-is-ten-ones/index.md): Understand that 10 can be thought of as a bundle of ten ones — called a 'ten' - [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 - [The multiples of 10](https://ai.page/c/the-multiples-of-10/index.md): Understand that the multiples of 10 (10, 20, 30 … 90) represent one to nine tens and 0 ones - [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 ## 7. NBT · Use place value understanding and properties of operations to add and subtract. - [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 - [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 - [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 ## 8. OA · Represent and solve problems involving addition and subtraction. - [Early Word Problems](https://ai.page/c/early-word-problems/index.md): Solve one-step word problems involving addition and subtraction to 20, including missing-number problems - [Adding Three Small Numbers](https://ai.page/c/adding-three-small-numbers/index.md): Add three one-digit numbers using strategies including looking for pairs that make 10 ## 9. OA · Understand and apply properties of operations and the relationship between addition and subtraction. - [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 - [Grouping numbers to add](https://ai.page/c/grouping-numbers-to-add/index.md): Understand and apply the associative property of addition: when adding three numbers, any two can be added first - [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) - [Inverse: addition undoes subtraction](https://ai.page/c/inverse-addition-undoes-subtraction/index.md): Recognise and use the inverse relationship between addition and subtraction to check calculations and solve missing-number problems ## 10. OA · Add and subtract within 20. - [Addition and subtraction strategies](https://ai.page/c/addition-and-subtraction-strategies/index.md): Use counting on and counting back as strategies for addition and subtraction - [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 ## 11. OA · Work with addition and subtraction equations. - [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 ## 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): - Angles in triangles (age 6+) has no explanation yet - Building with 3-D Shapes has no explanation yet - Composing Shapes has no explanation yet - Halves & Quarters of Shapes has no explanation yet - Decomposing a shape into more equal shares has no explanation yet - Measuring length has no explanation yet - Measuring length (age 6+) has no explanation yet - Telling Time: Minutes has no explanation yet - Sorting Data into Categories has no explanation yet - Sorting into categories (age 6+) has no explanation yet - Reading and writing numbers to 120 has no explanation yet - The teen numbers has no explanation yet - A Ten Is Ten Ones has no explanation yet - The two digits of a two-digit number has no explanation yet - The multiples of 10 has no explanation yet - Comparing and ordering 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 - 10 More or 10 Less has no explanation yet - Subtracting multiples of 10 has no explanation yet - Early Word Problems has no explanation yet - Adding Three Small Numbers comes before Grouping numbers to add, which it needs - Adding Three Small Numbers has no explanation yet - Addition in any order has no explanation yet - Grouping numbers to add has no explanation yet - Finding a missing number in addition has no explanation yet - Inverse: addition undoes subtraction has no explanation yet - Addition and subtraction strategies has no explanation yet - Fluent adding and subtracting within 10 has no explanation yet - Addition and subtraction within 20 has no explanation yet - What the equals sign means has no explanation yet - Unknown in Addition & Subtraction has no explanation yet Credit: The structure of Common Core State Standards for Mathematics; 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.