# Grade 7: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 12 concepts ready. In the app: https://ai.page/roadmap/nc-grade-7 Part of: [North Carolina: Mathematics](https://ai.page/roadmap/nc.md) Goal: North Carolina academic standards: Mathematics, Grade 7 ## 1. Statistics and Probability · Determine probabilities of compound events using organized lists, tables, tree diagrams, and simulation. - [Tree diagrams](https://ai.page/c/tree-diagrams/index.md): Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes ## 2. Statistics and Probability · Develop a probability model and use it to find probabilities of simple events. - [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 ## 3. Statistics and Probability · Recognize the role of variability when comparing two populations. - [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 ## 4. Expressions and Equations · Use variables to represent quantities to solve real-world or mathematical problems. - [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 ## 5. The Number System · Apply and extend previous understandings of multiplication and division. - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-3/index.md): Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line - [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 - [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 - [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 ## 6. Ratio and Proportional Relationships · Recognize and represent proportional relationships between quantities. - [Proportion Graphs](https://ai.page/c/proportion-graphs/index.md): Represent proportional relationships using double number lines (two parallel number lines aligned at 0) and ratio tables; recognise that equivalent ratios generate straight lines through the origin when graphed - [Ratio Notation](https://ai.page/c/ratio-notation/index.md): Use ratio notation to describe the relationship between two or more quantities, simplify ratios to their simplest form, and convert between ratio and fraction representations - [Ratio Notation and Relationships](https://ai.page/c/ratio-notation-and-relationships/index.md): Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios - [Proportion](https://ai.page/c/proportion/index.md): Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations ## Health: 0 of 100 Of its 12 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): - Tree diagrams comes before Experimental probability, which it needs - Tree diagrams has no explanation yet - Experimental probability has no explanation yet - Comparing measurements has no explanation yet - Solving Linear Equations has no explanation yet - Fractions on a number line has no explanation yet - Decimals and fractions (age 11+) has no explanation yet - Sign Rules for Multiplication has no explanation yet - Number Sets & Infinity has no explanation yet - Proportion Graphs has no explanation yet - Ratio Notation has no explanation yet - Ratio Notation and Relationships has no explanation yet - Proportion has no explanation yet Credit: The structure of North Carolina academic standards: Mathematics (http://www.ncpublicschools.org/docs/curriculum/mathematics/scos/0617-adopted-k-8-standards.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.