# 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/ks-high-school Part of: [Kansas: Mathematics](https://ai.page/roadmap/ks.md) Goal: Kansas academic standards: Mathematics, High school ## 1. Functions · Find inverse functions. - [Using inverse operations](https://ai.page/c/using-inverse-operations/index.md): Recognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations ## 2. Functions · 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 ## 3. 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 ## 4. 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 ## 5. Geometry · Use geometric constructions to verify 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 ## 6. Geometry · Verify experimentally (for example, using patty paper or geometry software) the properties of rotations, reflections, translations, and symmetry: - [Coordinate Transformations](https://ai.page/c/coordinate-transformations/index.md): Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original ## 7. Algebra · Analyze and solve pairs of simultaneous linear equations. - [Simultaneous Equations](https://ai.page/c/simultaneous-equations/index.md): Understand that two linear equations can be solved simultaneously by finding the point where their graphs intersect, and interpret this graphically and algebraically as the pair of values satisfying both equations ## 8. Algebra · Solve quadratic equations and inequalities - [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. Algebra · 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) - [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 ## 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): - Using inverse operations has no explanation yet - Linear Function Graphs comes before Algebraic Transformations, which it needs - Linear Function Graphs has no explanation yet - Quadratic Graphs comes before Plotting Linear Graphs, which it needs - Quadratic Graphs has no explanation yet - Plotting Linear Graphs has no explanation yet - Proportion has no explanation yet - Coordinates (age 12+) comes before Coordinate Transformations, which it needs - Coordinates (age 12+) has no explanation yet - Coordinate Transformations has no explanation yet - Simultaneous Equations comes before Solving Linear Equations, which it needs - Simultaneous Equations has no explanation yet - Solving Linear Equations has no explanation yet - Factorising Expressions has no explanation yet - Algebraic Transformations has no explanation yet Credit: The structure of Kansas academic standards: Mathematics (http://community.ksde.org/LinkClick.aspx?fileticket=1_TgVIJPfKM%3d&tabid=5276&mid=15449); 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.