# High school: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 15 concepts ready. In the app: https://ai.page/roadmap/tn-high-school Part of: [Tennessee: Mathematics](https://ai.page/roadmap/tn.md) Goal: Tennessee academic standards: Mathematics, High school ## 1. Precalculus · Find inverse functions (including exponential, logarithmic, and trigonometric). - [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 - [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 ## 2. Precalculus · 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 ## 3. Integrated Math III · Understand and apply the Addition Rule. - [Venn Diagrams and Counting Outcomes](https://ai.page/c/venn-diagrams-and-counting-outcomes/index.md): Construct and interpret Venn diagrams with two or three sets to organise and count outcomes; use systematic listing and the product rule for counting to enumerate all possible outcomes of combined events ## 4. Integrated Math III · Use set notation to represent contextual situations. - [Sets & Venn Diagrams](https://ai.page/c/sets-and-venn-diagrams/index.md): Enumerate sets and their unions and intersections systematically using tables, grids, and Venn diagrams to organise and count outcomes ## 5. Integrated Math III · Solve triangles. - [Trigonometry basics](https://ai.page/c/trigonometry-basics/index.md): Use the trigonometric ratios sin, cos, and tan in right-angled triangles to find unknown sides and angles, including setting up the correct ratio for a given problem ## 6. Integrated Math III · Use units as a way to understand real-world problems. - [Compound Units](https://ai.page/c/compound-units/index.md): Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units - [Estimating answers (age 13+)](https://ai.page/c/estimating-answers-age-13/index.md): Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical information in real-world contexts ## 7. Integrated Math II · 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. Integrated Math II · Solve quadratic equations and inequalities 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. Integrated Math II · Extend the properties of integer exponents to rational exponents. - [Number Sets & Infinity](https://ai.page/c/number-sets-and-infinity/index.md): Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers ## 10. Integrated Math I · 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 ## 11. Algebra II · Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions. - [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 ## 12. Geometry · Solve triangles. - [Properties of triangles and quadrilaterals](https://ai.page/c/properties-of-triangles-and-quadrilaterals/index.md): Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths ## 13. Algebra I · 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) ## Health: 0 of 100 Of its 15 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): - Simple formulae comes before Solving Linear Equations, which it needs - Simple formulae has no explanation yet - Numbers on a number line comes before Solving Linear Equations, which it needs - Numbers on a number line has no explanation yet - Plotting Linear Graphs comes before Linear Function Graphs, which it needs - Plotting Linear Graphs has no explanation yet - Venn Diagrams and Counting Outcomes comes before Sets & Venn Diagrams, which it needs - Venn Diagrams and Counting Outcomes has no explanation yet - Sets & Venn Diagrams has no explanation yet - Trigonometry basics has no explanation yet - Compound Units has no explanation yet - Estimating answers (age 13+) has no explanation yet - Quadratic Graphs has no explanation yet - Solving Linear Equations has no explanation yet - Number Sets & Infinity has no explanation yet - Linear Function Graphs comes before Algebraic Transformations, which it needs - Linear Function Graphs has no explanation yet - Algebraic Transformations has no explanation yet - Properties of triangles and quadrilaterals has no explanation yet - Expressions & Equations Vocabulary has no explanation yet Credit: The structure of Tennessee academic standards: Mathematics (https://www.tn.gov/content/dam/tn/stateboardofeducation/documents/standards/math/TN_Revised_Standards_K-4th_year_math_6-9-2022.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.