# High school: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 14 concepts ready. In the app: https://ai.page/roadmap/ri-high-school Part of: [Rhode Island: Mathematics](https://ai.page/roadmap/ri.md) Goal: Rhode Island academic standards: Mathematics, High school ## 1. 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. 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. Geometry · (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant. - [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 ## 4. Geometry · Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, recta - [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 ## 5. 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 ## 6. Functions · Find inverse functions algebraically and graphically. - [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 - [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. Functions · Write a function (linear, quadratic, exponential, simple rational, radical, logarithmic, and trigonometric) 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 ## 8. 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 ## 9. 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 ## 10. Algebra · Understand that polynomials form a system analogous to the integers, namely, they are closed under certain operations. - [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 ## 11. 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) ## 12. Number and Quantity · Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.★ - [Estimating by rounding](https://ai.page/c/estimating-by-rounding-maths/index.md): Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper and lower bounds of rounded values ## Health: 0 of 100 Of its 14 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 - Coordinate Transformations has no explanation yet - Properties of triangles and quadrilaterals has no explanation yet - Linear Function Graphs comes before Algebraic Transformations, which it needs - Linear Function Graphs has no explanation yet - Using inverse operations 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 has no explanation yet - Solving Linear Equations has no explanation yet - Numbers on a number line has no explanation yet - Algebraic Transformations has no explanation yet - Factorising Expressions has no explanation yet - Estimating by rounding has no explanation yet Credit: The structure of Rhode Island academic standards: Mathematics (https://www.ride.ri.gov/Portals/0/Uploads/Documents/Instruction-and-Assessment-World-Class-Standards/Standards/Rhode%20Island%20Core%20Standards%20V2%204.9.21.pdf?ver=2021-04-21-154246-580); 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.