# Grade 4: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 22 concepts ready. In the app: https://ai.page/roadmap/id-grade-4 Part of: [Idaho: Mathematics](https://ai.page/roadmap/id.md) Goal: Idaho academic standards: Mathematics, Grade 4 ## 1. Measurement and Data · Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems. - [Measuring angles (age 9+)](https://ai.page/c/measuring-angles-age-9/index.md): Recognise angle measure as additive; find unknown angles by adding or subtracting on a diagram using equations with a symbol for the unknown ## 2. 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 ## 3. Measurement and Data · Use the four operations to solve word problems involving measurements. - [Multiplication and Division Word Problems](https://ai.page/c/multiplication-and-division-word-problems/index.md): Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities ## 4. Measurement and Data · Know relative sizes of measurement units within any one system of units. - [Measuring with different units](https://ai.page/c/measuring-with-different-units/index.md): Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen ## 5. Number and Operations – Fractions · Compare two decimals to hundredths by reasoning about their size. - [Comparing Decimals](https://ai.page/c/comparing-decimals/index.md): Compare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, < ## 6. Number and Operations – Fractions · Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. - [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 - [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 - [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](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 - [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 ## 7. Number and Operations – Fractions · Understand a fraction a/b with a > 1 as a sum of fractions 1/b. - [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 - [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 ## 8. Number and Operations – Fractions · Compare two fractions with different numerators and different denominators, by creating common denominators or numerators, or by comparing to a benchmark fraction s - [Comparing fractions (age 8+)](https://ai.page/c/comparing-fractions-age-8/index.md): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols - [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 ## 9. Number and Operations in Base Ten · Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors. - [Division with remainders (age 10+)](https://ai.page/c/division-with-remainders-age-10/index.md): Divide numbers up to 4 digits by a two-digit divisor using formal written long division, interpreting remainders as whole numbers, fractions, or by rounding as appropriate - [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 ## 10. Number and Operations in Base Ten · Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers. - [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 ## 11. Operations and Algebraic Thinking · Find all factor pairs for a 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 ## 12. Operations and Algebraic Thinking · Solve multi-step whole-number word problems using the four operations, 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 - [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 - [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 ## Health: 0 of 100 Of its 22 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): - Measuring angles (age 9+) has no explanation yet - What Is an Angle? has no explanation yet - Degrees and turns has no explanation yet - Multiplication and Division Word Problems has no explanation yet - Measuring with different units has no explanation yet - Comparing Decimals has no explanation yet - Real-world fraction multiplication has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Multiplying fractions 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 - Adding fractions (different denominators) has no explanation yet - Comparing fractions (age 8+) has no explanation yet - Comparing fractions (age 9+) has no explanation yet - Division with remainders (age 10+) has no explanation yet - Multiplying by Tens has no explanation yet - Adding numbers has no explanation yet - Factors, multiples, and primes has no explanation yet - Advanced Multi-Step Problems has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Two-Step Equations has no explanation yet Credit: The structure of Idaho academic standards: Mathematics (https://www.sde.idaho.gov/topics/admin-rules/files/negotiated-rulemaking/Idaho-K-12-State-Standards-for-Mathematics.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.