# Grade 1: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 16 concepts ready. In the app: https://ai.page/roadmap/jp-mext-grade-1

Part of: [Japan MEXT: Mathematics](https://ai.page/roadmap/jp-mext.md)

Goal: Japan Course of Study (MEXT), elementary school: Mathematics, Grade 1

## 1. Numbers and Calculations · Through activities such as counting the numbers of concrete objects, to help pupils understand the meaning of numbers and use numbers.

- [One-to-one counting](https://ai.page/c/one-to-one-counting/index.md): One-to-one correspondence when counting objects: each object is paired with exactly one number name
- [Sorting into categories](https://ai.page/c/sorting-into-categories/index.md): Classify objects into given categories, count the number in each category, and sort the categories by count
- [Representing numbers with objects](https://ai.page/c/representing-numbers-with-objects/index.md): Represent numbers using objects, pictorial representations, and the number line
- [Division as equal sharing](https://ai.page/c/division-as-equal-sharing/index.md): Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made)
- [Understanding fractions](https://ai.page/c/understanding-fractions-2/index.md): Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents

## 2. Numbers and Calculations · To help pupils understand the meaning of addition and subtraction and use the calculations.

- [Addition as combining or putting together two](https://ai.page/c/addition-as-combining-or-putting-together-two/index.md): Understand addition as combining or putting together two groups to find the total
- [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
- [Adding and subtracting (age 7+)](https://ai.page/c/adding-and-subtracting-age-7/index.md): Add and subtract numbers with up to three digits using formal written methods of columnar addition and subtraction
- [Adding two two-digit numbers](https://ai.page/c/adding-two-two-digit-numbers/index.md): Add and subtract two two-digit numbers using concrete objects, pictorial representations, and mental methods
- [Money Addition & Subtraction](https://ai.page/c/money-addition-and-subtraction/index.md): Solve simple money problems involving addition and subtraction, including giving change

## 3. Quantities and Measurements · Through activities such as comparing sizes of concrete objects, to help pupils enrich their experiences that will form the foundation for understanding quantities and mea

- [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
- [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units

## 4. Quantities and Measurements

- [Estimating answers (age 7+)](https://ai.page/c/estimating-answers-age-7/index.md): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours

## 5. Geometrical Figures · Through activities such as observing and composing the shapes of familiar objects, to help pupils enrich their experiences that will form the foundation for understanding geometr

- [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
- [Positional Language](https://ai.page/c/positional-language/index.md): Describe the position of objects using terms such as above, below, beside, in front of, behind, next to

## 6. Mathematical Relations

- [Representing Addition and Subtraction](https://ai.page/c/representing-addition-and-subtraction/index.md): Represent addition and subtraction using objects, drawings, and mental images

## Health: 0 of 100

Of its 16 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):

- One-to-one counting has no explanation yet
- Sorting into categories has no explanation yet
- Representing numbers with objects has no explanation yet
- Division as equal sharing has no explanation yet
- Understanding fractions has no explanation yet
- Addition as combining or putting together two has no explanation yet
- Adding and subtracting has no explanation yet
- Adding and subtracting (age 7+) has no explanation yet
- Adding two two-digit numbers has no explanation yet
- Money Addition & Subtraction has no explanation yet
- Measuring with different units has no explanation yet
- Calculating with measurements has no explanation yet
- Estimating answers (age 7+) has no explanation yet
- Composing Shapes has no explanation yet
- Positional Language has no explanation yet
- Representing Addition and Subtraction has no explanation yet

Credit: The structure of Japan Course of Study (MEXT), elementary school: Mathematics (https://www.mext.go.jp/component/english/__icsFiles/afieldfile/2011/03/17/1303755_004.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.
