# Grade 8: 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/mn-grade-8

Part of: [Minnesota: Mathematics](https://ai.page/roadmap/mn.md)

Goal: Minnesota academic standards: Mathematics, Grade 8

## 1. Data Analysis & Probability · Interpret data using scatterplots and approximate lines of best fit. Use lines of best fit to draw conclusions about data.

- [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

## 2. Geometry & Measurement · Solve problems involving parallel and perpendicular lines on a coordinate system.

- [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

## 3. Geometry & Measurement · Solve problems involving right triangles using the Pythagorean Theorem and its converse.

- [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

## 4. Algebra · Represent real-world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solut

- [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
- [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

## 5. Algebra · Generate equivalent numerical and algebraic expressions and use algebraic properties to evaluate expressions.

- [Substituting into Formulae](https://ai.page/c/substituting-into-formulae/index.md): Substitute numerical values into formulae and expressions including scientific formulae; evaluate expressions by replacing variables with given values and computing the result using correct order of operations

## 6. Algebra · Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols and graphs; solve problems invo

- [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. Number & Operation · Read, write, compare, classify and represent real numbers, and use them to solve problems in various contexts.

- [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
- [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

## 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):

- Scatter Graphs & Correlation has no explanation yet
- Scatter Graphs has no explanation yet
- Angles with parallel lines has no explanation yet
- Types of angles (age 13+) has no explanation yet
- Solving Linear Equations comes before Substituting into Formulae, which it needs
- Solving Linear Equations has no explanation yet
- Algebraic Transformations has no explanation yet
- Numbers on a number line has no explanation yet
- Substituting into Formulae has no explanation yet
- Linear Function Graphs has no explanation yet
- Positive and Negative Numbers has no explanation yet
- Number Sets & Infinity has no explanation yet

Credit: The structure of Minnesota academic standards: Mathematics (http://education.state.mn.us/MDE/EdExc/StanCurri/K-12AcademicStandards/Math/index.html); 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.
