# Grade 3: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 12 concepts ready. In the app: https://ai.page/roadmap/ccss-math-grade-3

Part of: [Common Core: Maths](https://ai.page/roadmap/ccss-math.md)

Goal: Common Core State Standards for Mathematics, Grade 3

## 1. NBT · Use place value understanding and properties of operations to perform multi-digit arithmetic.

- [Rounding to 10, 100, 1000](https://ai.page/c/rounding-to-10-100-1000/index.md): Round any number to the nearest 10, 100, or 1000
- [Fluent adding and subtracting within 1000](https://ai.page/c/fluent-adding-and-subtracting-within-1000/index.md): Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and the relationship between addition and subtraction
- [Multiplying by Tens](https://ai.page/c/multiplying-by-tens/index.md): Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations

## 2. OA · Represent and solve problems involving multiplication and division.

- [What Multiplication Means](https://ai.page/c/what-multiplication-means/index.md): Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)
- [What Division Means](https://ai.page/c/what-division-means/index.md): Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups)
- [Multiplication and Division Word Problems](https://ai.page/c/multiplication-and-division-word-problems/index.md): Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
- [Unknown in Multiplication & Division](https://ai.page/c/unknown-in-multiplication-and-division/index.md): Determine the unknown whole number in a multiplication or division equation relating three whole numbers (e.g. 8 × ? = 48, ? × 6 = 42)

## 3. OA · Understand properties of multiplication and the relationship between multiplication and division.

- [Properties of Operations](https://ai.page/c/properties-of-operations/index.md): Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
- [Division as Unknown Factor](https://ai.page/c/division-as-unknown-factor/index.md): Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8)

## 4. OA · Multiply and divide within 100.

- [Fluent multiplication and division facts](https://ai.page/c/fluent-multiplication-and-division-facts/index.md): Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division

## 5. OA · Solve problems involving the four operations, and identify and explain patterns in arithmetic.

- [Two-Step Equations](https://ai.page/c/two-step-equations/index.md): Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity
- [Patterns in Times Tables](https://ai.page/c/patterns-in-times-tables/index.md): Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations

## Health: 0 of 100

Of its 12 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):

- Rounding to 10, 100, 1000 has no explanation yet
- Fluent adding and subtracting within 1000 has no explanation yet
- Multiplying by Tens comes before Fluent multiplication and division facts, which it needs
- Multiplying by Tens has no explanation yet
- What Multiplication Means has no explanation yet
- What Division Means has no explanation yet
- Multiplication and Division Word Problems has no explanation yet
- Unknown in Multiplication & Division comes before Division as Unknown Factor, which it needs
- Unknown in Multiplication & Division has no explanation yet
- Properties of Operations has no explanation yet
- Division as Unknown Factor has no explanation yet
- Fluent multiplication and division facts has no explanation yet
- Two-Step Equations has no explanation yet
- Patterns in Times Tables has no explanation yet

Credit: The structure of Common Core State Standards for Mathematics; 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.