# High school: 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/ia-high-school

Part of: [Iowa: Mathematics](https://ai.page/roadmap/ia.md)

Goal: Iowa academic standards: Mathematics, High school

## 1. Statistics and Probability · 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. Functions · Distinguish between situations that can be modeled with linear functions and with exponential functions.

- [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

## 3. Functions · Graph functions expressed symbolically and show key features of the graph by hand in simple cases and using technology for more complicated cases.

- [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

## 4. Algebra · Solve quadratic equations in one variable. (A1 and A2)

- [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

## 5. Algebra · Choose and produce an equivalent form of an expression or equation to reveal and explain properties of the quantity represented by the expression. ★ (A1 and A2)

- [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
- [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)

## 6. Functions · 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

## 7. Statistics and Probability★ · Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. ★

- [The Probability Scale](https://ai.page/c/the-probability-scale/index.md): Understand probability as a measure on a scale from 0 (impossible) to 1 (certain); use the language of probability including likely, unlikely, certain, and impossible
- [Experimental probability](https://ai.page/c/experimental-probability/index.md): Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability

## 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):

- Scatter Graphs & Correlation 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
- Algebraic Transformations has no explanation yet
- Factorising Expressions has no explanation yet
- Simple formulae has no explanation yet
- The Probability Scale has no explanation yet
- Experimental probability has no explanation yet

Credit: The structure of Iowa academic standards: Mathematics (https://educate.iowa.gov/media/9845/download?inline=); 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.