# 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/nd-grade-1

Part of: [North Dakota: Mathematics](https://ai.page/roadmap/nd.md)

Goal: North Dakota academic standards: Mathematics, Grade 1

## 1. First Grade

- [Picture & Bar Graphs](https://ai.page/c/picture-and-bar-graphs/index.md): Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph
- [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
- [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
- [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-D shapes](https://ai.page/c/3-d-shapes/index.md): Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones)
- [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
- [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
- [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 7+)](https://ai.page/c/angles-in-triangles-age-7/index.md): Recognise and draw shapes having specified attributes (e.g. a given number of angles or equal faces); identify triangles, quadrilaterals, pentagons, hexagons, and cubes
- [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences
- [Reading +, −, and = symbols](https://ai.page/c/reading-and-symbols/index.md): Read, write, and interpret the symbols +, −, and = in number sentences
- [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
- [Numbers up to 10 into pairs](https://ai.page/c/numbers-up-to-10-into-pairs/index.md): Decompose numbers up to 10 into pairs in more than one way (part-part-whole)
- [Fluent adding and subtracting within 10](https://ai.page/c/fluent-adding-and-subtracting-within-10/index.md): Fluently add and subtract within 10
- [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
- [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
- [Mental addition and subtraction (age 6+)](https://ai.page/c/mental-addition-and-subtraction-age-6/index.md): Add and subtract a two-digit number and ones mentally and using concrete/pictorial representations
- [Addition and subtraction within 1000](https://ai.page/c/addition-and-subtraction-within-1000/index.md): Add and subtract within 1000 using concrete models, drawings, and strategies based on place value; understand composing and decomposing tens and hundreds
- [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
- [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
- [Counting objects to 20](https://ai.page/c/counting-objects-to-20/index.md): Count a set of objects to answer 'how many?' for sets up to 20 (arranged in lines, arrays, circles, or scattered)
- [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
- [Counting forwards and backwards (age 6+)](https://ai.page/c/counting-forwards-and-backwards-age-6/index.md): Count forwards and backwards in tens from any number (not just multiples of 10)
- [Guided Multi-Step Problem Solving](https://ai.page/c/guided-multi-step-problem-solving/index.md): With teacher guidance, make sense of multi-step and more complex problems by planning a pathway to the solution, identifying relevant information, and choosing appropriate operations

## 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):

- Picture & Bar Graphs has no explanation yet
- Halves and quarters (age 7+) has no explanation yet
- Telling Time: Hours and Half Hours has no explanation yet
- Telling time to the minute (age 7+) has no explanation yet
- Measuring length has no explanation yet
- Comparing lengths by measuring has no explanation yet
- 3-D shapes has no explanation yet
- Building with 3-D Shapes has no explanation yet
- 2-D shapes has no explanation yet
- Composing Shapes has no explanation yet
- Angles in triangles (age 7+) has no explanation yet
- Patterns & Sequences has no explanation yet
- Reading +, −, and = symbols has no explanation yet
- Early Word Problems has no explanation yet
- Numbers up to 10 into pairs has no explanation yet
- Fluent adding and subtracting within 10 has no explanation yet
- Halves & Quarters of Shapes has no explanation yet
- The two digits of a two-digit number has no explanation yet
- Mental addition and subtraction (age 6+) has no explanation yet
- Addition and subtraction within 1000 has no explanation yet
- Adding within 100 has no explanation yet
- Comparing and ordering numbers has no explanation yet
- Counting Within 1,000 has no explanation yet
- Counting objects to 20 has no explanation yet
- Reading and writing numbers to 120 has no explanation yet
- Counting forwards and backwards (age 6+) has no explanation yet
- Guided Multi-Step Problem Solving has no explanation yet

Credit: The structure of North Dakota academic standards: Mathematics (https://www.nd.gov/dpi/sites/www/files/documents/Academic%20Support/ND%20Mathematics%20K-12%20Standards.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.
