# Grade 4: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 10 concepts ready. In the app: https://ai.page/roadmap/az-grade-4

Part of: [Arizona: Mathematics](https://ai.page/roadmap/az.md)

Goal: Arizona academic standards: Mathematics, Grade 4

## 1. Measurement and Data · Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:

- [What Is an Angle?](https://ai.page/c/what-is-an-angle/index.md): Understand that an angle is a geometric shape formed by two rays sharing a common endpoint (vertex); recognise angles in real-life contexts and 2-D shapes
- [Degrees and turns](https://ai.page/c/degrees-and-turns/index.md): Know that angles are measured in degrees, where one degree is 1/360 of a full turn; understand that an angle turning through n one-degree angles has a measure of n degrees

## 2. Number and Operations – Fractions · Build fractions from unit fractions.

- [Dividing fractions (unit fractions)](https://ai.page/c/dividing-fractions-unit-fractions/index.md): Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result
- [Fraction Addition Concepts](https://ai.page/c/fraction-addition-concepts/index.md): Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way
- [Multiplying fractions](https://ai.page/c/multiplying-fractions/index.md): Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5)
- [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b

## 3. Number and Operations – Fractions · Understand a fraction a/b with a > 1 as a sum of unit fractions (1/b).

- [Adding fractions (different denominators)](https://ai.page/c/adding-fractions-different-denominators/index.md): Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator
- [Adding and subtracting mixed numbers](https://ai.page/c/adding-and-subtracting-mixed-numbers/index.md): Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations

## 4. Number and Operations – Fractions · Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators and by comparing to a benchmark frac

- [Comparing fractions (age 8+)](https://ai.page/c/comparing-fractions-age-8/index.md): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols
- [Comparing fractions (age 9+)](https://ai.page/c/comparing-fractions-age-9/index.md): Compare and order fractions with different numerators and denominators by creating common denominators/numerators or comparing to a benchmark such as 1/2; justify conclusions with visual models

## Health: 0 of 100

Of its 10 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):

- What Is an Angle? has no explanation yet
- Degrees and turns has no explanation yet
- Dividing fractions (unit fractions) has no explanation yet
- Fraction Addition Concepts has no explanation yet
- Multiplying fractions has no explanation yet
- Fractions of a whole has no explanation yet
- Adding fractions (different denominators) has no explanation yet
- Adding and subtracting mixed numbers has no explanation yet
- Comparing fractions (age 8+) has no explanation yet
- Comparing fractions (age 9+) has no explanation yet

Credit: The structure of Arizona academic standards: Mathematics (https://cms.azed.gov/home/GetDocumentFile?id=58546f81aadebe13008c1a36); 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.