# Grade 4: 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/la-grade-4 Part of: [Louisiana: Mathematics](https://ai.page/roadmap/la.md) Goal: Louisiana academic standards: Mathematics, Grade 4 ## 1. Measurement and Data · Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: - [What Is an Angle?](https://ai.page/c/what-is-an-angle/index.md): Understand that an angle is a geometric shape formed by two rays sharing a common endpoint (vertex); recognise angles in real-life contexts and 2-D shapes - [Degrees and turns](https://ai.page/c/degrees-and-turns/index.md): Know that angles are measured in degrees, where one degree is 1/360 of a full turn; understand that an angle turning through n one-degree angles has a measure of n degrees ## 2. Number and Operations - Fractions · Multiply a fraction by a whole number. (Denominators are limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100.) - [Adding Fractions (Same Denominator)](https://ai.page/c/adding-fractions-same-denominator/index.md): Add and subtract fractions with the same denominator, including results greater than one whole (e.g. 5/8 + 6/8 = 11/8) - [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 - [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) - [Fractions of a whole (age 10+)](https://ai.page/c/fractions-of-a-whole-age-10/index.md): Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to fractional or mixed-number answers - [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 · Understand a fraction a/b with a > 1 as a sum of fractions 1/b. (Denominators are limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100.) - [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 - [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 ## 4. Operations and Algebraic Thinking · Using whole numbers in the range 1–100 - [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 - [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 ## 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): - What Is an Angle? has no explanation yet - Degrees and turns has no explanation yet - Adding Fractions (Same Denominator) has no explanation yet - Adding fractions (different denominators) comes before Fraction Addition Concepts, which it needs - Adding fractions (different denominators) has no explanation yet - Multiplying fractions has no explanation yet - Fractions of a whole (age 10+) has no explanation yet - Fractions of a whole has no explanation yet - Fraction Addition Concepts has no explanation yet - Adding and subtracting mixed numbers has no explanation yet - Factors, multiples, and primes has no explanation yet - Prime numbers has no explanation yet - Multiplying by Tens has no explanation yet Credit: The structure of Louisiana academic standards: Mathematics (https://www.louisianabelieves.com/docs/default-source/teacher-toolbox-resources/louisiana-student-standards-for-k-12-math.pdf?sfvrsn=40); 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.