# Grade 4: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 25 concepts ready. In the app: https://ai.page/roadmap/ky-grade-4 Part of: [Kentucky: Mathematics](https://ai.page/roadmap/ky.md) Goal: Kentucky academic standards: Mathematics, Grade 4 ## 1. Geometry · Identify lines of symmetry. - [2-D shapes (age 8+)](https://ai.page/c/2-d-shapes-age-8/index.md): Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry ## 2. Measurement and Data · Use dot plots to analyze data to a statistical question. - [Measurement Line Plots](https://ai.page/c/measurement-line-plots/index.md): Make a line plot to display measurement data in fractions of a unit (1/2, 1/4, 1/8); solve problems involving addition and subtraction of fractions using line plot data - [Understanding fractions](https://ai.page/c/understanding-fractions/index.md): Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); use operations on fractions to solve problems involving data in line plots (e.g. redistribute total equally) ## 3. Measurement and Data · Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects and money. - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-2/index.md): Solve word problems involving distances, time intervals, liquid volumes, masses, and money using the four operations with fractions or decimals; represent with diagrams including number lines - [Measurement Conversions](https://ai.page/c/measurement-conversions/index.md): Solve problems involving the calculation and conversion of units of measure, using decimal notation and multi-step reasoning in real-world contexts - [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 size of measurement units (mass, weight, liquid volume, length, time) within one system of units (metric system, U.S. standard system and time). - [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard 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. Numbers and Operations-Fractions · Compare two decimals to hundredths. - [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. Numbers and Operations-Fractions · Convert and add fractions with denominators of 10 and 100. - [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 - [Converting tenths to hundredths](https://ai.page/c/converting-tenths-to-hundredths/index.md): Express a fraction with denominator 10 as an equivalent fraction with denominator 100 and use this to add fractions with denominators 10 and 100 (e.g. 3/10 + 4/100 = 34/100) ## 7. Numbers and Operations-Fractions · Apply and extend previous understandings of multiplication to multiply a fraction by a whole number. - [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 - [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](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 ## 8. Numbers and Operations-Fractions · Understand and generate equivalent fractions. - [Equivalent fractions (age 9+)](https://ai.page/c/equivalent-fractions-age-9/index.md): Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths - [Adding Fractions (Unlike Denominators)](https://ai.page/c/adding-fractions-unlike-denominators/index.md): Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions to produce a common denominator - [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators ## 9. Numbers and Operations in Base Ten · Represent and compare 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 (age 9+)](https://ai.page/c/reading-and-writing-numbers-age-9/index.md): Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding ## 10. Operations and Algebraic Thinking · Find factors and multiples of 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 ## 11. Operations and Algebraic Thinking · Solve multistep problems. - [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 - [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 ## Health: 0 of 100 Of its 25 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): - 2-D shapes (age 8+) has no explanation yet - Measurement Line Plots has no explanation yet - Understanding fractions comes before Adding Fractions (Unlike Denominators), which it needs - Understanding fractions has no explanation yet - Fractions on a number line has no explanation yet - Measurement Conversions has no explanation yet - Multiplication and Division Word Problems has no explanation yet - Calculating with measurements has no explanation yet - Measuring with different units has no explanation yet - Comparing Decimals has no explanation yet - Adding fractions (different denominators) comes before Equivalent fractions (age 9+), which it needs - Adding fractions (different denominators) comes before Fraction Addition Concepts, which it needs - Adding fractions (different denominators) has no explanation yet - Converting tenths to hundredths comes before Equivalent fractions (age 9+), which it needs - Converting tenths to hundredths has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Fraction Addition Concepts has no explanation yet - Multiplying fractions has no explanation yet - Fractions of a whole has no explanation yet - Equivalent fractions (age 9+) has no explanation yet - Adding Fractions (Unlike Denominators) has no explanation yet - Equivalent fractions has no explanation yet - Comparing Large Numbers has no explanation yet - Reading and writing numbers (age 9+) has no explanation yet - Factors, multiples, and primes has no explanation yet - Prime numbers has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Two-Step Equations has no explanation yet - Advanced Multi-Step Problems has no explanation yet Credit: The structure of Kentucky academic standards: Mathematics (https://education.ky.gov/curriculum/standards/kyacadstand/Documents/Kentucky_Academic_Standards_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.