# Grade 7: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 16 concepts ready. In the app: https://ai.page/roadmap/ca-nb-grade-7

Part of: [New Brunswick: Mathematics](https://ai.page/roadmap/ca-nb.md)

Goal: New Brunswick curriculum: Mathematics, Grade 7

## 1. Statistics and Probability

- [Complementary events](https://ai.page/c/complementary-events/index.md): Understand and apply the rule that probabilities of all mutually exclusive outcomes sum to one; use this to find the probability of a complementary event (P(not A) = 1 − P(A))
- [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
- [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
- [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

## 2. Shape and Space

- [Plotting points in the first quadrant](https://ai.page/c/plotting-points-in-the-first-quadrant/index.md): Plot and read ordered pairs in the first quadrant of the coordinate plane; represent real-world and mathematical problems by graphing points and interpreting coordinate values in context
- [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
- [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
- [Area of Triangles & Parallelograms](https://ai.page/c/area-of-triangles-and-parallelograms/index.md): Calculate the area of parallelograms and triangles using formulae (A = b × h for parallelograms, A = ½ × b × h for triangles)

## 3. 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
- [Expressions & Equations Vocabulary](https://ai.page/c/expressions-and-equations-vocabulary/index.md): Understand and use the concepts and vocabulary of expressions, equations, inequalities, terms, and factors; distinguish between an expression (no equals sign), an equation (equals sign), and an inequality (inequality sign)

## 4. Number

- [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
- [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
- [Division with Decimals](https://ai.page/c/division-with-decimals/index.md): Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers
- [Fractions on a number line (age 11+)](https://ai.page/c/fractions-on-a-number-line-age-11/index.md): Order positive and negative integers, decimals, and fractions on a number line; use the symbols =, ≠, <, >, ≤, ≥ to compare values including negative numbers and mixed representations
- [Decimals and fractions (age 11+)](https://ai.page/c/decimals-and-fractions-age-11/index.md): Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 and 3/8); convert fluently between the two forms
- [Percentages (age 12+)](https://ai.page/c/percentages-age-12/index.md): Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest

## Health: 0 of 100

Of its 16 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):

- Complementary events has no explanation yet
- Experimental probability has no explanation yet
- Comparing measurements has no explanation yet
- Plotting Linear Graphs has no explanation yet
- Plotting points in the first quadrant has no explanation yet
- Coordinate Transformations has no explanation yet
- Circles: Circumference & Area has no explanation yet
- Area of Triangles & Parallelograms has no explanation yet
- Solving Linear Equations has no explanation yet
- Expressions & Equations Vocabulary has no explanation yet
- Positive and Negative Numbers has no explanation yet
- Sign Rules for Multiplication has no explanation yet
- Division with Decimals has no explanation yet
- Fractions on a number line (age 11+) has no explanation yet
- Decimals and fractions (age 11+) has no explanation yet
- Percentages (age 12+) has no explanation yet

Credit: The structure of New Brunswick curriculum: Mathematics (https://asn.desire2learn.com/resources/D21367404); 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.
