# Grade 5: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 13 concepts ready. In the app: https://ai.page/roadmap/wy-grade-5 Part of: [Wyoming: Mathematics](https://ai.page/roadmap/wy.md) Goal: Wyoming academic standards: Mathematics, Grade 5 ## 1. Number And Operations - Fractions · The Proficient student is able to extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations. - [Dividing fractions (unit fractions)](https://ai.page/c/dividing-fractions-unit-fractions/index.md): Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result - [Dividing by Fractions](https://ai.page/c/dividing-by-fractions/index.md): Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and division to explain why the quotient is larger than the dividend ## 2. Number And Operations - Fractions · Justify the reasonableness of a product when multiplying with fractions. - [Multiplication as scaling](https://ai.page/c/multiplication-as-scaling/index.md): Interpret multiplication as scaling (resizing): compare the size of a product to a factor based on the size of the other factor without computing; explain the effect of multiplying by fractions greater than, equal to, or less than 1 - [Adding fractions (different denominators)](https://ai.page/c/adding-fractions-different-denominators/index.md): Add and subtract fractions with denominators that are multiples of the same number by finding a common denominator ## 3. Number And Operations - Fractions · Extend the concept of multiplication to multiply a fraction or whole number by a fraction. - [Fraction Addition Concepts](https://ai.page/c/fraction-addition-concepts/index.md): Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way - [Multiplying fractions (age 11+)](https://ai.page/c/multiplying-fractions-age-11/index.md): Interpret fractions and percentages as operators — find a fraction or percentage of an amount by multiplying, understanding that 'of' means multiply (e.g., 3/4 of 200 = 3/4 × 200 = 150) ## 4. Geometry · May be able to identify the components of a coordinate system with partial success. - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-2/index.md): Understand a coordinate system defined by two perpendicular number lines (axes) with an origin at (0,0); know that an ordered pair (x, y) specifies a unique point where the first number gives horizontal distance and the second gives vertical distance from the origin - [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 ## 5. Geometry · Understand a coordinate system. - [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 ## 6. Measurement And Data · Relate volume to the operations of multiplication and solve real-world and mathematical problems involving volume. - [Estimating answers (age 10+)](https://ai.page/c/estimating-answers-age-10/index.md): Find the volume of right rectangular prisms by packing with unit cubes and show it equals l × w × h (or base area × height); apply V = l × w × h and V = B × h to solve real-world problems; calculate, estimate, and compare volumes of cubes and cuboids in standard units (cm³, m³) - [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 ## 7. Number And Operations In Base Ten · Read, write, and compare decimals to thousandths. - [Reading and writing numbers (age 10+)](https://ai.page/c/reading-and-writing-numbers-age-10/index.md): Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; compare using >, =, < based on place-value meaning ## 8. Operations And Algebraic Thinking · Generate two numerical patterns with each pattern having its own rule. Explain informally the relationship(s) between corresponding terms in the two patterns. - [Number Pattern Relationships](https://ai.page/c/number-pattern-relationships/index.md): Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane ## Health: 0 of 100 Of its 13 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): - Dividing fractions (unit fractions) has no explanation yet - Dividing by Fractions has no explanation yet - Multiplication as scaling has no explanation yet - Adding fractions (different denominators) comes before Fraction Addition Concepts, which it needs - Adding fractions (different denominators) has no explanation yet - Fraction Addition Concepts has no explanation yet - Multiplying fractions (age 11+) has no explanation yet - Numbers on a number line has no explanation yet - Coordinate Transformations has no explanation yet - Plotting points in the first quadrant has no explanation yet - Estimating answers (age 10+) has no explanation yet - Volume as additive has no explanation yet - Reading and writing numbers (age 10+) has no explanation yet - Number Pattern Relationships 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.