# Grade 1: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 25 concepts ready. In the app: https://ai.page/roadmap/dodea-grade-1

Part of: [DoDEA: Mathematics](https://ai.page/roadmap/dodea.md)

Goal: Department of Defense Education Activity standards: Mathematics, Grade 1

## 1. Reason with shapes and their attributes.

- [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
- [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. 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

## 3. Tell and write time.

- [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
- [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
- [Telling time to the minute (age 7+)](https://ai.page/c/telling-time-to-the-minute-age-7/index.md): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation

## 4. Measure lengths indirectly and by iterating length units.

- [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 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

## 5. Use place value understanding and properties of operations to add and subtract.

- [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
- [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
- [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
- [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

## 6. Understand place value.

- [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
- [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. 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

## 8. 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

## 9. Add and subtract within 20.

- [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
- [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

## 10. Understand and apply properties of operations and the relationship between addition and subtraction.

- [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)
- [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

## 11. Represent and solve problems involving addition and subtraction.

- [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

## Health: 0 of 100

Of its 25 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
- 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
- Telling Time: Hours and Half Hours has no explanation yet
- Telling Time: Minutes has no explanation yet
- Telling time to the minute (age 7+) has no explanation yet
- Measuring length (age 6+) has no explanation yet
- Measuring length has no explanation yet
- Subtracting multiples of 10 has no explanation yet
- 10 More or 10 Less comes before The two digits of a two-digit number, which it needs
- 10 More or 10 Less has no explanation yet
- Place value understanding and number facts comes before The two digits of a two-digit number, which it needs
- Place value understanding and number facts has no explanation yet
- Adding numbers has no explanation yet
- The two digits of a two-digit number has no explanation yet
- Comparing and ordering numbers has no explanation yet
- Reading and writing numbers to 120 has no explanation yet
- What the equals sign means has no explanation yet
- Unknown in Addition & Subtraction has no explanation yet
- Addition and subtraction within 20 has no explanation yet
- Adding and subtracting has no explanation yet
- Finding a missing number in addition has no explanation yet
- Properties of Operations has no explanation yet
- Representing Addition and Subtraction has no explanation yet
- Addition and subtraction word problems has no explanation yet

Credit: The structure of Department of Defense Education Activity standards: Mathematics (https://commonstandardsproject.com); 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.
