# Grade 1: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 20 concepts ready. In the app: https://ai.page/roadmap/in-grade-1

Part of: [Indiana: Mathematics](https://ai.page/roadmap/in.md)

Goal: Indiana academic standards: Mathematics, Grade 1

## 1. Data Analysis · With guidance, collect data from a simple survey or collaborative investigation; organize data into appropriate single-unit bar graphs, pictographs, and/or tables and draw conclusions 

- [Pictograms and tally charts](https://ai.page/c/pictograms-and-tally-charts/index.md): Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables

## 2. Measurement · Identify the value of a penny, nickel, dime, and a collection of pennies, nickels, and dimes.

- [Coin Values](https://ai.page/c/coin-values/index.md): Recognise and know the value of different coins and notes

## 3. Measurement · Tell and write time to the nearest half-hour and relate time to events (before/after, shorter/longer) using analog clocks. Explain how to read hours and minutes using digital clocks. (E)

- [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. Measurement · Use direct comparison or a nonstandard unit to compare and order objects according to length, area, capacity, weight, and temperature. (E)

- [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 =
- [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. Geometry · Partition circles and rectangles into two and four equal parts; describe the parts using the words halves, fourths, and quarters; and use the phrases half of, fourth of, and quarter of. Des

- [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

## 6. Geometry · Use two-dimensional shapes (e.g., rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) or three-dimensional shapes (e.g., cubes, right rectangular prisms, right circul

- [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

## 7. Geometry · Distinguish between defining attributes of two- and three-dimensional shapes (e.g., triangles are closed and three-sided) versus non-defining attributes (e.g., color, orientation, overall s

- [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)

## 8. Computation and Algebraic Thinking · Create, extend, and give an appropriate rule for number patterns using addition within 100.

- [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

## 9. Computation and Algebraic Thinking · Using number sense and place value strategies, add within 100, including adding a two-digit number and a one-digit number, and adding a two-digit number and a mult

- [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
- [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

## 10. Computation and Algebraic Thinking · Solve real-world problems involving addition and subtraction within 20 in situations of adding to, taking from, putting together, taking apart, and comparing, with

- [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 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. Computation and Algebraic Thinking · Demonstrate fluency with addition facts and the corresponding subtraction facts within 20. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 

- [Fluent adding and subtracting within 20](https://ai.page/c/fluent-adding-and-subtracting-within-20/index.md): Fluently add and subtract within 20 using mental strategies; know from memory all sums of two one-digit numbers
- [Fluent addition and subtraction](https://ai.page/c/fluent-addition-and-subtraction/index.md): Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100

## 12. Number Sense · Use place value understanding to compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols > , = , and <. (E)

- [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

## 13. Number Sense · Match the ordinal numbers (e.g., first, second, third) with an ordered set of up to 20 items.

- [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)

## 14. Number Sense · Model place value concepts of two-digit numbers, multiples of 10, and equivalent forms of whole numbers using objects and drawings. (E)

- [Representing Numbers](https://ai.page/c/representing-numbers/index.md): Identify, represent, and estimate numbers using different representations including the number line

## 15. Number Sense · Count to at least 120 by ones, fives, and tens from any given number. In this range, read and write numerals and represent a number of objects with a written numeral. (E)

- [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

## Health: 0 of 100

Of its 20 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):

- Pictograms and tally charts has no explanation yet
- Coin Values has no explanation yet
- Telling time to the minute (age 7+) has no explanation yet
- Comparing and ordering measurements has no explanation yet
- Measuring length has no explanation yet
- 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
- Extending Table Patterns has no explanation yet
- Adding within 100 comes before Addition and subtraction within 20, which it needs
- Adding within 100 has no explanation yet
- Adding numbers has no explanation yet
- Addition and subtraction word problems has no explanation yet
- Addition and subtraction within 20 has no explanation yet
- Fluent adding and subtracting within 20 has no explanation yet
- Fluent addition and subtraction has no explanation yet
- Comparing and ordering numbers has no explanation yet
- Counting objects to 20 has no explanation yet
- Representing Numbers has no explanation yet
- Reading and writing numbers to 120 has no explanation yet

Credit: The structure of Indiana academic standards: Mathematics (https://www.in.gov/doe/files/AlgebraI-Math-Content-Connectors.docx.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.
