# Grade 7: 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/nj-grade-7 Part of: [New Jersey: Mathematics](https://ai.page/roadmap/nj.md) Goal: New Jersey academic standards: Mathematics, Grade 7 ## 1. Statistics and Probability · Find 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 events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain p - [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. Expressions and Equations · Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quan - [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 - [Using Simple Formulae](https://ai.page/c/using-simple-formulae/index.md): Use simple formulae expressed in words or symbols to calculate values (e.g. perimeter = 2 × (length + width)) ## 4. The Number System · Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. - [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 - [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 ## 5. The Number System · Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number lin - [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 ## 6. Ratios 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 - [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 - [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 - [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 ## 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): - Tree diagrams comes before Experimental probability, which it needs - Tree diagrams has no explanation yet - Experimental probability has no explanation yet - Numbers on a number line has no explanation yet - Using Simple Formulae has no explanation yet - Number Sets & Infinity has no explanation yet - Sign Rules for Multiplication comes before Positive and Negative Numbers, which it needs - Sign Rules for Multiplication has no explanation yet - Positive and Negative Numbers has no explanation yet - Proportion Graphs has no explanation yet - Proportional Reasoning Vocabulary has no explanation yet - Proportion has no explanation yet - Ratio Notation has no explanation yet Credit: The structure of New Jersey academic standards: Mathematics (https://airtable.com/appAqCJWFHZMaNUh2/tblGy4kx6tGuscLHj/viwE5G0UuqG8WME5q/recLphlO9Cy9AXXDA/fldIxltCXshIi374r/attQThKD0HEWuLGJA?blocks=hide); 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.