# Grade 4: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 16 concepts ready. In the app: https://ai.page/roadmap/sd-grade-4 Part of: [South Dakota: Mathematics](https://ai.page/roadmap/sd.md) Goal: South Dakota academic standards: Mathematics, Grade 4 ## 1. Number and Operations — Fractions · Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. - [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 9+)](https://ai.page/c/fractions-of-a-whole-age-9/index.md): Solve word problems involving multiplication of a fraction by a whole number using visual models and equations - [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 ## 2. Number and Operations — Fractions · Understand a fraction a/b with a > 1 as a sum of fractions 1/b. For example, 4/5 = 1/5 + 1/5 + 1/5 + 1/5 - [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 - [Understanding fractions (age 9+)](https://ai.page/c/understanding-fractions-age-9/index.md): Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 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 - [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 ## 3. Number and Operation in Base Ten · Read and write multi-digit whole numbers. - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 - [Reading and writing numbers to 1000](https://ai.page/c/reading-and-writing-numbers-to-1000/index.md): Read and write numbers to 1000 in numerals, number names, and expanded form ## 4. 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 ## 5. Operations and Algebraic Thinking · Using whole number 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 ## 6. Operations and Algebraic Thinking · Use and interpret multiplicative equations. - [Algebraic Notation](https://ai.page/c/algebraic-notation/index.md): Use and interpret algebraic notation including: ab for a × b, 3y for y + y + y, a² for a × a, a/b for a ÷ b, coefficients as fractions, and brackets for grouping; read and write algebraic expressions fluently - [Multiplicative Comparison](https://ai.page/c/multiplicative-comparison-maths/index.md): Interpret a multiplication equation as a comparison (e.g. 35 = 5 × 7 means 35 is 5 times as many as 7); represent verbal statements of multiplicative comparisons as equations ## Health: 0 of 100 Of its 16 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): - Multiplying fractions comes before Understanding fractions (age 9+), which it needs - Multiplying fractions has no explanation yet - Fractions of a whole (age 9+) has no explanation yet - Real-world fraction multiplication has no explanation yet - Fractions of a whole has no explanation yet - Understanding fractions (age 9+) has no explanation yet - Fraction Addition Concepts has no explanation yet - Adding and subtracting mixed numbers has no explanation yet - Comparing Large Numbers has no explanation yet - Reading and writing numbers to 1000 has no explanation yet - What Is an Angle? has no explanation yet - Degrees and turns 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 - Algebraic Notation has no explanation yet - Multiplicative Comparison has no explanation yet Credit: The structure of South Dakota academic standards: Mathematics (http://doe.sd.gov/contentstandards/documents/SD-Math-Standard.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.