# Grade 8: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 18 concepts ready. In the app: https://ai.page/roadmap/sc-grade-8 Part of: [South Carolina: Mathematics](https://ai.page/roadmap/sc.md) Goal: South Carolina academic standards: Mathematics, Grade 8 ## 1. Patterns, Algebra, and Functional Reasoning · Apply mathematical patterns, properties, and algorithms to the set of rational numbers to find sums, differences, products, and quotients and to write equ - [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 - [Square and cube numbers](https://ai.page/c/square-and-cube-numbers-maths/index.md): Use integer powers and associated real roots (square, cube, and higher); recognise powers of 2, 3, 4, and 5; distinguish between exact representations of roots and their decimal approximations ## 2. Patterns, Algebra, and Functional Reasoning · Write, simplify, and evaluate algebraic expressions; write and solve algebraic 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 - [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 - [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 - [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. Patterns, Algebra, and Functional Reasoning · Determine if a table, graph, verbal description, or equation represents a function and describe its characteristics. - [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 ## 4. Numerical Reasoning · Utilize real numbers in mathematical and real-world situations. - [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 ## 5. Measurement, Geometry, and Spatial Reasoning · Graph on a coordinate plane. - [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 - [Scale and similar shapes (age 11+)](https://ai.page/c/scale-and-similar-shapes-age-11/index.md): Use scale factors to interpret and create scale diagrams and maps, calculating real-life distances from map measurements and vice versa ## 6. Measurement, Geometry, and Spatial Reasoning · Determine angle and/or side relationships. - [Angles with parallel lines](https://ai.page/c/angles-with-parallel-lines/index.md): Understand and use the relationship between parallel lines cut by a transversal: corresponding angles, alternate interior angles, and co-interior (same-side interior) angles; use these to find unknown angles - [Angle sums in triangles and polygons](https://ai.page/c/angle-sums-in-triangles-and-polygons/index.md): Derive and use the angle sum in a triangle (180°), use it to deduce the angle sum in any polygon ((n−2) × 180°), and calculate interior and exterior angles of regular polygons - [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 ## 7. Measurement, Geometry, and Spatial Reasoning · Determine the measurements of geometric figures. - [Types of angles (age 13+)](https://ai.page/c/types-of-angles-age-13/index.md): Apply Pythagoras’ Theorem (a² + b² = c²) to calculate unknown side lengths in right-angled triangles, including in real-world and coordinate-geometry contexts - [Angles in triangles (age 11+)](https://ai.page/c/angles-in-triangles-age-11/index.md): Derive and apply formulae for the area of triangles, parallelograms, and trapezia, and for the volume of cuboids and other prisms (including cylinders), connecting each formula to its geometric reasoning ## 8. Data, Probability, and Statistical Reasoning · Calculate and interpret probability. - [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 ## 9. Data, Probability, and Statistical Reasoning · Analyze data sets to identify their statistical elements. - [Comparing measurements](https://ai.page/c/comparing-measurements/index.md): Describe, interpret, and compare distributions of a single variable using appropriate measures of central tendency (mean, median, mode) and spread (range), including the effect of outliers - [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 ## Health: 0 of 100 Of its 18 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 - Square and cube numbers 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 - Plotting Linear Graphs comes before Linear Function Graphs, which it needs - Plotting Linear Graphs has no explanation yet - Linear Function Graphs has no explanation yet - Number Sets & Infinity has no explanation yet - Coordinate Transformations has no explanation yet - Scale and similar shapes (age 11+) has no explanation yet - Angles with parallel lines has no explanation yet - Angle sums in triangles and polygons has no explanation yet - Properties of triangles and quadrilaterals has no explanation yet - Types of angles (age 13+) has no explanation yet - Angles in triangles (age 11+) has no explanation yet - The Probability Scale has no explanation yet - Comparing measurements has no explanation yet - Scatter Graphs & Correlation has no explanation yet Credit: The structure of South Carolina academic standards: Mathematics (https://ed.sc.gov/instruction/standards/mathematics/standards/2025-south-carolina-college-and-career-ready-mathematics-standards/); 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.