# Grade 5: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 5 concepts ready. In the app: https://ai.page/roadmap/nj-grade-5

Part of: [New Jersey: Mathematics](https://ai.page/roadmap/nj.md)

Goal: New Jersey academic standards: Mathematics, Grade 5

## 1. Number and Operations — Fractions · Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

- [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)
- [Multiplying fractions (age 10+)](https://ai.page/c/multiplying-fractions-age-10/index.md): Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal parts; write answers in simplest form
- [Area with Fractions](https://ai.page/c/area-with-fractions/index.md): Find the area of a rectangle with fractional side lengths by tiling with unit-fraction squares; show that the area equals the product of the side lengths
- [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

## 2. Number and Operations in Base Ten · Read, write, and compare decimals to thousandths.

- [Reading and writing numbers (age 10+)](https://ai.page/c/reading-and-writing-numbers-age-10/index.md): Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; compare using >, =, < based on place-value meaning

## Health: 0 of 100

Of its 5 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):

- Multiplying fractions has no explanation yet
- Multiplying fractions (age 10+) has no explanation yet
- Area with Fractions has no explanation yet
- Dividing fractions (unit fractions) has no explanation yet
- Reading and writing numbers (age 10+) has no explanation yet

Credit: The structure of New Jersey academic standards: Mathematics (https://airtable.com/appAqCJWFHZMaNUh2/tblGy4kx6tGuscLHj/viwE5G0UuqG8WME5q/recLphlO9Cy9AXXDA/fldIxltCXshIi374r/attQThKD0HEWuLGJA?blocks=hide); 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.