# Grade 4: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 20 concepts ready. In the app: https://ai.page/roadmap/mo-grade-4 Part of: [Missouri: Mathematics](https://ai.page/roadmap/mo.md) Goal: Missouri academic standards: Mathematics, Grade 4 ## 1. Data and Statistics · Represent and analyze data. - [Bar graphs](https://ai.page/c/bar-graphs/index.md): Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs ## 2. Geometry and Measurement · Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. - [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 ## 3. Geometry and Measurement · Understand the concepts of angle and measure angles. - [Measuring angles](https://ai.page/c/measuring-angles/index.md): Measure angles in whole-number degrees using a protractor; draw given angles and sketch angles of specified measure - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn - [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 ## 4. Geometry and Measurement · Classify 2-dimensional shapes by properties of their lines and angles. - [Classifying shapes by line properties](https://ai.page/c/classifying-shapes-by-line-properties/index.md): Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category ## 5. Relationships and Algebraic Thinking · Generate and analyze patterns. - [Number Pattern Relationships](https://ai.page/c/number-pattern-relationships/index.md): Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane ## 6. Relationships and Algebraic Thinking · Use the four operations with whole numbers to solve problems. - [Division with remainders](https://ai.page/c/division-with-remainders/index.md): Solve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a letter for the unknown; check with estimation - [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 - [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 ## 7. Number Sense and Operations in Fractions · Understand decimal notation for fractions, and compare decimal fractions. (Denominators of 10 or 100.) - [Decimal & Percent Notation](https://ai.page/c/decimal-and-percent-notation/index.md): Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value - [Decimals for Tenths & Hundredths](https://ai.page/c/decimals-for-tenths-and-hundredths/index.md): Use decimal notation for fractions with denominators 10 or 100; read and write decimal numbers as fractions (e.g. 0.62 = 62/100, 0.71 = 71/100) - [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 >, =, < - [Fraction Notation](https://ai.page/c/fraction-notation/index.md): Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole ## 8. Number Sense and Operations in Fractions · Extend understanding of operations on whole numbers to fraction operations. - [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 - [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 - [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 ## 9. Number Sense and Operations in Fractions · Extend understanding of fraction equivalence and ordering. (Limit denominators to 2, 3, 4, 5, 6, 8, 10, 12 and 100.) - [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 10+)](https://ai.page/c/comparing-fractions-age-10/index.md): Compare and order fractions including fractions greater than 1, by converting to common denominators or using benchmarks ## Health: 0 of 100 Of its 20 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): - Bar graphs has no explanation yet - Measurement Conversions has no explanation yet - Measuring angles has no explanation yet - Understanding angles has no explanation yet - Measuring angles (age 9+) has no explanation yet - Classifying shapes by line properties has no explanation yet - Number Pattern Relationships has no explanation yet - Division with remainders has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Advanced Multi-Step Problems has no explanation yet - Decimal & Percent Notation has no explanation yet - Decimals for Tenths & Hundredths has no explanation yet - Comparing Decimals has no explanation yet - Fraction Notation has no explanation yet - Fraction Addition Concepts has no explanation yet - Dividing fractions (unit fractions) 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 10+) has no explanation yet Credit: The structure of Missouri academic standards: Mathematics (https://sites.google.com/view/priority-standards-mo-dese/home/mathematics?authuser=0); 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.