# Grade 3: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 6 concepts ready. In the app: https://ai.page/roadmap/nj-grade-3

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

Goal: New Jersey academic standards: Mathematics, Grade 3

## 1. Number and Operations - Fractions · Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

- [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
- [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators
- [Equivalent fractions on a number line](https://ai.page/c/equivalent-fractions-on-a-number-line/index.md): Understand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions using diagrams
- [Fractions of a whole (age 8+)](https://ai.page/c/fractions-of-a-whole-age-8/index.md): Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)
- [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line/index.md): Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line

## 2. Number and Operations - Fractions · Understand a fraction as a number on the number line; represent fractions on a number line diagram.

- [Fractions on a number line (age 8+)](https://ai.page/c/fractions-on-a-number-line-age-8/index.md): Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b

## Health: 0 of 100

Of its 6 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):

- Comparing fractions (age 8+) has no explanation yet
- Equivalent fractions has no explanation yet
- Equivalent fractions on a number line comes before Fractions on a number line (age 8+), which it needs
- Equivalent fractions on a number line has no explanation yet
- Fractions of a whole (age 8+) has no explanation yet
- Fractions on a number line has no explanation yet
- Fractions on a number line (age 8+) 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.