# Grade 6: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 9 concepts ready. In the app: https://ai.page/roadmap/wv-grade-6

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

Goal: West Virginia academic standards: Mathematics, Grade 6

## 1. Grade 6 · Summarize numerical data sets in relation to their context, such as by:

- [Calculating the Mean](https://ai.page/c/calculating-the-mean/index.md): Calculate and interpret the mean as an average of a data set

## 2. Grade 6 · Solve real-world and mathematical problems by writing and solving

- [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-maths/index.md): Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations

## 3. Grade 6 · Write, read and evaluate expressions in which letters stand for numbers.

- [Algebraic Notation](https://ai.page/c/algebraic-notation/index.md): Use and interpret algebraic notation including: ab for a × b, 3y for y + y + y, a² for a × a, a/b for a ÷ b, coefficients as fractions, and brackets for grouping; read and write algebraic expressions fluently

## 4. Grade 6 · Understand ordering and absolute value of rational numbers.

- [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-5/index.md): Understand the absolute value of a rational number as its distance from zero on the number line; interpret absolute value as magnitude in real-world contexts; distinguish absolute value comparisons from ordering statements

## 5. Grade 6 · Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane wit

- [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-2/index.md): Understand a coordinate system defined by two perpendicular number lines (axes) with an origin at (0,0); know that an ordered pair (x, y) specifies a unique point where the first number gives horizontal distance and the second gives vertical distance from the origin
- [Positive and Negative Numbers](https://ai.page/c/positive-and-negative-numbers/index.md): Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances

## 6. Grade 6 · Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

- [Proportional Reasoning Vocabulary](https://ai.page/c/proportional-reasoning-vocabulary/index.md): Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts
- [Ratio Notation](https://ai.page/c/ratio-notation/index.md): Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations
- [Bar Models for Ratios](https://ai.page/c/bar-models-for-ratios/index.md): Represent ratio and proportion problems using bar models (rectangular strips divided into equal parts labelled with quantities) and tape diagrams (segmented strips showing part-to-part and part-to-whole relationships); use these visual models to set up and solve unequal sharing, scaling, and percentage problems — drawing the diagram first, then reading off the answer

## Health: 0 of 100

Of its 9 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):

- Calculating the Mean has no explanation yet
- Numbers on a number line has no explanation yet
- Algebraic Notation has no explanation yet
- Numbers on a number line comes before Positive and Negative Numbers, which it needs
- Numbers on a number line has no explanation yet
- Numbers on a number line has no explanation yet
- Positive and Negative Numbers has no explanation yet
- Proportional Reasoning Vocabulary has no explanation yet
- Ratio Notation has no explanation yet
- Bar Models for Ratios 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.