# Grade 3: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 11 concepts ready. In the app: https://ai.page/roadmap/de-grade-3

Part of: [Delaware: Mathematics](https://ai.page/roadmap/de.md)

Goal: Delaware 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](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator
- [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
- [Fraction Notation](https://ai.page/c/fraction-notation/index.md): Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole
- [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

## 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](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

## 3. Measurement and Data · Relate area to the operations of multiplication and addition.

- [Area by Tiling](https://ai.page/c/area-by-tiling/index.md): Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths
- [Understanding angles (age 8+)](https://ai.page/c/understanding-angles-age-8-maths/index.md): Multiply side lengths to find areas of rectangles and represent whole-number products as rectangular areas
- [Area of compound shapes](https://ai.page/c/area-of-compound-shapes/index.md): Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas
- [Area and the distributive property](https://ai.page/c/area-and-the-distributive-property/index.md): Use tiling to demonstrate the distributive property: the area of a rectangle with sides a and (b+c) equals a×b + a×c; use area models to represent the distributive property

## 4. Measurement and Data · Recognize area as an attribute of plane figures and understand concepts of area measurement.

- [Understanding Area](https://ai.page/c/understanding-area/index.md): Understand that a unit square has one square unit of area and that the area of a plane figure is the number of unit squares that cover it without gaps or overlaps

## Health: 0 of 100

Of its 11 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 comes before Fractions on a number line, which it needs
- Comparing fractions has no explanation yet
- Comparing fractions (age 8+) has no explanation yet
- Fraction Notation has no explanation yet
- Equivalent fractions has no explanation yet
- Equivalent fractions on a number line has no explanation yet
- Fractions on a number line has no explanation yet
- Area by Tiling has no explanation yet
- Understanding angles (age 8+) has no explanation yet
- Area of compound shapes has no explanation yet
- Area and the distributive property has no explanation yet
- Understanding Area has no explanation yet

Credit: The structure of Delaware academic standards: Mathematics (http://www.corestandards.org/assets/CCSSI_Math%20Standards.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.