# Grade 4: 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-4 Part of: [Wyoming: Mathematics](https://ai.page/roadmap/wy.md) Goal: Wyoming academic standards: Mathematics, Grade 4 ## 1. Number And Operations - Fractions · May be able to apply and extend an understanding of multiplication by multiplying a whole number and a fraction when given a pictorial representation. - [Real-world fraction multiplication](https://ai.page/c/real-world-fraction-multiplication/index.md): Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations - [Multiplying fractions](https://ai.page/c/multiplying-fractions/index.md): Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5) - [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 ## 2. Number And Operations - Fractions · Apply and extend an understanding of multiplication by multiplying a whole number and a fraction. - [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 - [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b ## 3. Number And Operations - Fractions · The Below Basic student may be able to, with a pictorial representation: - [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 ## 4. Number And Operations - Fractions · The Basic student is able to with a pictorial representation: - [Adding and subtracting mixed numbers](https://ai.page/c/adding-and-subtracting-mixed-numbers/index.md): Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations ## 5. Number And Operations - Fractions · May be able to compare two fractions with different numerators and different denominators by creating common denominators or numerators, or by comparing to a benchm - [Comparing fractions (age 9+)](https://ai.page/c/comparing-fractions-age-9/index.md): Compare and order fractions with different numerators and denominators by creating common denominators/numerators or comparing to a benchmark such as 1/2; justify conclusions with visual models ## 6. Number And Operations In Base Ten · May be able to use strategies based on place value and the properties of multiplication with partial success to: - [Decimal place value](https://ai.page/c/decimal-place-value-2/index.md): Multiply one-digit numbers with up to two decimal places by whole numbers (e.g. 3.47 × 6) - [Multiplying by Tens](https://ai.page/c/multiplying-by-tens/index.md): Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations ## 7. Number And Operations In Base Ten · Use strategies based on place value and the properties of multiplication to: - [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations - [Adding numbers](https://ai.page/c/adding-numbers/index.md): Add up to four two-digit numbers using strategies based on place value and properties of operations ## 8. Operations And Algebraic Thinking · May be able to demonstrate an understanding of factors and multiples with partial success. - [Factors, multiples, and primes](https://ai.page/c/factors-multiples-and-primes/index.md): Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems - [Prime numbers](https://ai.page/c/prime-numbers/index.md): Know and use the vocabulary of prime numbers, prime factors, and composite numbers; establish whether a number up to 100 is prime; recall prime numbers up to 19 ## 9. Operations And Algebraic Thinking · May be able to solve one-step word problems posed with whole numbers with partial success, including problems in which remainders must be interpreted. - [Advanced Multi-Step Problems](https://ai.page/c/advanced-multi-step-problems/index.md): Make sense of complex multi-step problems involving ratio, proportion, algebra, negative numbers, and all four operations with fractions and decimals by analysing given and unknown quantities, planning solution strategies, and evaluating reasonableness using estimation and inverse operations - [Two-Step Equations](https://ai.page/c/two-step-equations/index.md): Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity ## 10. Operations And Algebraic Thinking · Solve multi-step word problems posed with whole numbers, including problems in which remainders must be interpreted. - [Multi-step problems: choosing operations](https://ai.page/c/multi-step-problems-choosing-operations/index.md): Solve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in contexts ## 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): - Real-world fraction multiplication has no explanation yet - Multiplying fractions has no explanation yet - Fraction Addition Concepts has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Fractions of a whole has no explanation yet - Adding fractions (different denominators) has no explanation yet - Adding and subtracting mixed numbers has no explanation yet - Comparing fractions (age 9+) has no explanation yet - Decimal place value has no explanation yet - Multiplying by Tens has no explanation yet - Numbers to 10,000 has no explanation yet - Adding numbers has no explanation yet - Factors, multiples, and primes has no explanation yet - Prime numbers has no explanation yet - Advanced Multi-Step Problems has no explanation yet - Two-Step Equations has no explanation yet - Multi-step problems: choosing operations 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.