# Grade 8: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 10 concepts ready. In the app: https://ai.page/roadmap/ca-mb-grade-8

Part of: [Manitoba: Mathematics](https://ai.page/roadmap/ca-mb.md)

Goal: Manitoba curriculum: Mathematics, Grade 8

## 1. Shape and Space

- [3-D shapes (age 10+)](https://ai.page/c/3-d-shapes-age-10/index.md): Recognise, describe, and build simple 3-D shapes, including making nets
- [3-D shapes (age 11+)](https://ai.page/c/3-d-shapes-age-11/index.md): Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems, including visualising cross-sections
- [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

## 2. Patterns and Relations

- [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
- [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. Number

- [Sign Rules for Multiplication](https://ai.page/c/sign-rules-for-multiplication/index.md): Multiply and divide with positive and negative integers and rational numbers, understanding the rules for the sign of the product or quotient
- [Proportional Reasoning Vocabulary](https://ai.page/c/proportional-reasoning-vocabulary/index.md): Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts
- [Dividing Quantities by Ratio](https://ai.page/c/dividing-quantities-by-ratio/index.md): Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole
- [Percentages as Fractions](https://ai.page/c/percentages-as-fractions/index.md): Define percentage as 'number of parts per hundred'; interpret percentages and percentage changes as a fraction or a decimal; express one quantity as a percentage of another; compare quantities using percentages; work with percentages greater than 100%
- [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

## Health: 0 of 100

Of its 10 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):

- 3-D shapes (age 10+) has no explanation yet
- 3-D shapes (age 11+) has no explanation yet
- Angles in triangles (age 11+) has no explanation yet
- Solving Linear Equations has no explanation yet
- Plotting Linear Graphs has no explanation yet
- Sign Rules for Multiplication has no explanation yet
- Proportional Reasoning Vocabulary has no explanation yet
- Dividing Quantities by Ratio has no explanation yet
- Percentages as Fractions has no explanation yet
- Square and cube numbers has no explanation yet

Credit: The structure of Manitoba curriculum: Mathematics (https://www.edu.gov.mb.ca/k12/cur/math/framework_9-12/gr9.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.