# 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/me-grade-6

Part of: [Maine: Mathematics](https://ai.page/roadmap/me.md)

Goal: Maine academic standards: Mathematics, Grade 6

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

- [Statistical Analysis Vocabulary](https://ai.page/c/statistical-analysis-vocabulary/index.md): Read, write, and use the vocabulary of statistical analysis — mean, median, mode, range, frequency, data, sample, average, chart, table, graph, pie chart, scatter graph, correlation — with understanding of what each term describes
- [Comparing measurements](https://ai.page/c/comparing-measurements/index.md): Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers

## 2. Algebraic Reasoning · Write, read, and evaluate expressions in which letters represent 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
- [Substituting into Formulae](https://ai.page/c/substituting-into-formulae/index.md): Substitute numerical values into formulae and expressions including scientific formulae; evaluate expressions by replacing variables with given values and computing the result using correct order of operations

## 3. Quantitative Reasoning · 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

## 4. Quantitative Reasoning · 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 i

- [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

## 5. Quantitative Reasoning · 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, o

- [Real-World Mathematical Modelling](https://ai.page/c/real-world-mathematical-modelling/index.md): Model real-world problems involving ratio, scale, volume, unit conversion, and proportional reasoning with appropriate tools, 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
- [Dividing Quantities by Ratio](https://ai.page/c/dividing-quantities-by-ratio/index.md): Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole

## 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):

- Statistical Analysis Vocabulary has no explanation yet
- Comparing measurements has no explanation yet
- Algebraic Notation has no explanation yet
- Substituting into Formulae 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
- Positive and Negative Numbers has no explanation yet
- Real-World Mathematical Modelling has no explanation yet
- Proportional Reasoning Vocabulary has no explanation yet
- Dividing Quantities by Ratio has no explanation yet

Credit: The structure of Maine academic standards: Mathematics (http://www.maine.gov/doe/sites/maine.gov.doe/files/2020-07/1.%20Mathematics%20Standards%202%2018%202020.docx); 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.