# High school: 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/la-high-school

Part of: [Louisiana: Mathematics](https://ai.page/roadmap/la.md)

Goal: Louisiana academic standards: Mathematics, High school

## 1. High School - Algebra II · Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

- [Scatter Graphs & Correlation](https://ai.page/c/scatter-graphs-and-correlation/index.md): Describe simple mathematical relationships between two variables using scatter graphs, identify positive, negative, or no correlation, and use a line of best fit to make predictions

## 2. High School - Algebra II · Find inverse functions.

- [Simple formulae](https://ai.page/c/simple-formulae/index.md): Understand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable

## 3. High School - Algebra II · Write a function that describes a relationship between two quantities.

- [Ratio Notation and Relationships](https://ai.page/c/ratio-notation-and-relationships/index.md): Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios

## 4. High School - Algebra II · Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

- [Linear Function Graphs](https://ai.page/c/linear-function-graphs/index.md): Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context
- [Quadratic Graphs](https://ai.page/c/quadratic-graphs/index.md): Recognise that quadratic functions produce curved (parabolic) graphs, distinguish them from linear graphs, and use plotted quadratic graphs to estimate values and find approximate solutions

## 5. High School - Algebra II · Solve quadratic equations in one variable.

- [Solving Linear Equations](https://ai.page/c/solving-linear-equations/index.md): Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients

## 6. High School - Geometry · Verify experimentally the properties of dilations given by a center and a scale factor:

- [Coordinates (age 12+)](https://ai.page/c/coordinates-age-12/index.md): Understand similarity as a relationship where one shape is an enlargement of another; construct similar shapes by enlargement with a given scale factor and centre, with and without coordinate grids

## 7. High School - Algebra I · Write a linear, quadratic, or exponential function that describes a relationship between two quantities.

- [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

## 8. High School - Algebra I · Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

- [Factorising Expressions](https://ai.page/c/factorising-expressions/index.md): Factorise algebraic expressions by taking out common factors — identify the highest common factor of all terms and write the expression as a product, e.g., 6x + 9 = 3(2x + 3)

## 9. High School - Algebra I · Interpret expressions that represent a quantity in terms of its context.

- [Algebraic Transformations](https://ai.page/c/algebraic-transformations/index.md): Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations
- [Expressions & Equations Vocabulary](https://ai.page/c/expressions-and-equations-vocabulary/index.md): Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign)

## 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):

- Scatter Graphs & Correlation has no explanation yet
- Simple formulae comes before Solving Linear Equations, which it needs
- Simple formulae has no explanation yet
- Ratio Notation and Relationships has no explanation yet
- Linear Function Graphs comes before Algebraic Transformations, which it needs
- Linear Function Graphs has no explanation yet
- Quadratic Graphs has no explanation yet
- Solving Linear Equations has no explanation yet
- Coordinates (age 12+) has no explanation yet
- Numbers on a number line has no explanation yet
- Factorising Expressions has no explanation yet
- Algebraic Transformations has no explanation yet
- Expressions & Equations Vocabulary has no explanation yet

Credit: The structure of Louisiana academic standards: Mathematics (https://www.louisianabelieves.com/docs/default-source/teacher-toolbox-resources/louisiana-student-standards-for-k-12-math.pdf?sfvrsn=40); 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.
