# Grade 8: 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/ok-grade-8

Part of: [Oklahoma: Mathematics](https://ai.page/roadmap/ok.md)

Goal: Oklahoma academic standards: Mathematics, Grade 8

## 1. Data & Probability · Calculate experimental probabilities and reason about probabilities to model and solve problems.

- [Experimental probability](https://ai.page/c/experimental-probability/index.md): Record, describe, and analyse the frequency of outcomes from probability experiments to develop an understanding of relative frequency as an estimate of probability

## 2. Data & Probability · Display and interpret data in a variety of ways, including using scatter plots and approximate lines of best fit. Use the line of best fit and average rate of change to make predi

- [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
- [Scatter Graphs](https://ai.page/c/scatter-graphs/index.md): Plot bivariate data on a scatter graph with correctly labelled axes and appropriate scales; describe the correlation (positive, negative, none) and draw an estimated line of best fit where appropriate

## 3. Geometry & Measurement · Justify and use formulas to calculate surface area and volume of three-dimensional figures.

- [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
- [Circles: Circumference & Area](https://ai.page/c/circles-circumference-and-area/index.md): Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts

## 4. Geometry & Measurement · Apply the Pythagorean theorem to solve problems involving triangles.

- [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

## 5. Algebraic Reasoning & Algebra · Represent and solve problems using mathematical models and situations with equations and inequalities involving linear expressions.

- [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
- [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

## 6. Algebraic Reasoning & Algebra · Identify and justify linear functions using mathematical models and situations; solve problems involving linear functions and interpret results in the original context.

- [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

## 7. Numbers & Operations · Read, write, compare, classify, and represent real numbers, and use them to solve problems in various contexts.

- [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
- [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
- [Positive and Negative Numbers](https://ai.page/c/positive-and-negative-numbers/index.md): Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances
- [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

## 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):

- Experimental probability has no explanation yet
- Scatter Graphs & Correlation has no explanation yet
- Scatter Graphs has no explanation yet
- Angles in triangles (age 11+) has no explanation yet
- Circles: Circumference & Area has no explanation yet
- Types of angles (age 13+) has no explanation yet
- Solving Linear Equations has no explanation yet
- Algebraic Transformations has no explanation yet
- Linear Function Graphs has no explanation yet
- Square and cube numbers has no explanation yet
- Number Sets & Infinity has no explanation yet
- Positive and Negative Numbers has no explanation yet
- Numbers on a number line has no explanation yet

Credit: The structure of Oklahoma academic standards: Mathematics (https://sde.ok.gov/sites/default/files/2022%20OAS-M%20FINAL.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.
