# Grade 7: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 17 concepts ready. In the app: https://ai.page/roadmap/wy-grade-7 Part of: [Wyoming: Mathematics](https://ai.page/roadmap/wy.md) Goal: Wyoming academic standards: Mathematics, Grade 7 ## 1. Statistics and Probability · Solve real-world and mathematical problems involving: - [The Probability Scale](https://ai.page/c/the-probability-scale/index.md): Understand probability as a measure on a scale from 0 (impossible) to 1 (certain); use the language of probability including likely, unlikely, certain, and impossible - [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 ## 2. Expressions and Equations · May be able to apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations. - [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 ## 3. Expressions and Equations · Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations. - [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 ## 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. Ratios And Proportional Relationships · May be able to 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 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 ## 6. Ratios And Proportional Relationships · Recognize and represent proportional relationships between quantities. - [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 - [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 ## 7. Geometry · The Below Basic student may be able to solve real-world and mathematical problems involving: - [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 - [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) ## 8. Geometry · The Basic student is able to solve real-world and mathematical problems involving: - [Properties of triangles and quadrilaterals](https://ai.page/c/properties-of-triangles-and-quadrilaterals/index.md): Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths ## 9. Geometry · Solve real-world and mathematical problems involving. - [Volume as additive](https://ai.page/c/volume-as-additive/index.md): Recognise volume as additive; find volumes of composite solid figures made of two or more non-overlapping right rectangular prisms ## 10. Geometry · The Below Basic student may be able to investigate the concept of circles. - [Parts of a circle](https://ai.page/c/parts-of-a-circle/index.md): Illustrate and name parts of circles, including radius, diameter, and circumference; know that the diameter is twice the radius - [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 ## Health: 0 of 100 Of its 17 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): - The Probability Scale has no explanation yet - Experimental probability has no explanation yet - Solving Linear Equations has no explanation yet - Numbers on a number line has no explanation yet - Number Sets & Infinity has no explanation yet - Sign Rules for Multiplication has no explanation yet - Proportion Graphs has no explanation yet - Ratio Notation and Relationships comes before Proportional Reasoning Vocabulary, which it needs - Ratio Notation and Relationships comes before Ratio Notation, which it needs - Ratio Notation and Relationships has no explanation yet - Proportion comes before Proportional Reasoning Vocabulary, which it needs - Proportion has no explanation yet - Proportional Reasoning Vocabulary has no explanation yet - Ratio Notation has no explanation yet - 3-D shapes (age 11+) has no explanation yet - Area of Triangles & Parallelograms has no explanation yet - Properties of triangles and quadrilaterals has no explanation yet - Volume as additive has no explanation yet - Parts of a circle has no explanation yet - Circles: Circumference & Area has no explanation yet Credit: The structure of Wyoming academic standards: Mathematics (https://edu.wyoming.gov/wp-content/uploads/2021/05/2020-Math-PLDs-for-website-05.10.21.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.