# High school: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 13 concepts ready. In the app: https://ai.page/roadmap/de-high-school Part of: [Delaware: Mathematics](https://ai.page/roadmap/de.md) Goal: Delaware academic standards: Mathematics, High school ## 1. High School — 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 ## 2. High School — 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 ## 3. 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 ## 4. High School — 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 ## 5. High School — 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 ## 6. High School — Functions · 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 ## 7. High School — Functions · Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. - [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 ## 8. High School — Algebra · 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 ## 9. High School — Algebra · Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. - [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) ## 10. High School — Algebra · Interpret expressions that represent a quantity in terms of its context - [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) ## 11. High School — Number and Quantity · (+) Multiply a vector by a scalar. - [Plotting Linear Graphs](https://ai.page/c/plotting-linear-graphs/index.md): Plot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a line ## 12. High School — Number and Quantity · (+) Add and subtract vectors. - [Proportion](https://ai.page/c/proportion/index.md): Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations ## Health: 0 of 100 Of its 13 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): - The Probability Scale has no explanation yet - Scatter Graphs & Correlation has no explanation yet - Coordinates (age 12+) has no explanation yet - Linear Function Graphs comes before Algebraic Transformations, which it needs - Linear Function Graphs 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 - Quadratic Graphs comes before Plotting Linear Graphs, which it needs - 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 - Expressions & Equations Vocabulary has no explanation yet - Plotting Linear Graphs has no explanation yet - Proportion has no explanation yet Credit: The structure of Delaware academic standards: Mathematics (http://www.corestandards.org/assets/CCSSI_Math%20Standards.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.