# Grade 4: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 8 concepts ready. In the app: https://ai.page/roadmap/wv-grade-4

Part of: [West Virginia: Mathematics](https://ai.page/roadmap/wv.md)

Goal: West Virginia academic standards: Mathematics, Grade 4

## 1. Grade 4 · 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

## 2. Grade 4 · Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.

- [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 (age 9+)](https://ai.page/c/fractions-of-a-whole-age-9/index.md): Solve word problems involving multiplication of a fraction by a whole number using visual models and equations
- [Fractions of a whole (age 10+)](https://ai.page/c/fractions-of-a-whole-age-10/index.md): Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to fractional or mixed-number answers

## 3. Grade 4 · Understand the fraction a/b, with a > 1, as the sum of a of the fractions 1/b.

- [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
- [Understanding fractions (age 9+)](https://ai.page/c/understanding-fractions-age-9/index.md): Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)
- [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
- [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

## Health: 0 of 100

Of its 8 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
- Multiplying fractions comes before Understanding fractions (age 9+), which it needs
- Multiplying fractions has no explanation yet
- Fractions of a whole (age 9+) has no explanation yet
- Fractions of a whole (age 10+) has no explanation yet
- Fractions of a whole has no explanation yet
- Understanding fractions (age 9+) has no explanation yet
- Fraction Addition Concepts has no explanation yet
- Adding and subtracting mixed numbers has no explanation yet

Credit: The structure of West Virginia academic standards: Mathematics (https://apps.sos.wv.gov/adlaw/csr/readfile.aspx?DocId=56641&Format=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.