# Grade 4: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 31 concepts ready. In the app: https://ai.page/roadmap/or-grade-4 Part of: [Oregon: Mathematics](https://ai.page/roadmap/or.md) Goal: Oregon academic standards: Mathematics, Grade 4 ## 1. Grade 4 · Analyze, represent, and interpret 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) ## 2. Grade 4 · Pose investigative questions and collect/consider data. - [Halves and quarters (age 8+)](https://ai.page/c/halves-and-quarters-age-8/index.md): Generate measurement data by measuring lengths to the nearest half and quarter inch; display the data on a line plot with a scale marked in whole numbers, halves, and quarters ## 3. Grade 4 · Geometric measurement: understand 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 - [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 - [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 ## 4. Grade 4 · Solve problems involving measurement and conversion of measurements. - [Rounding Answers](https://ai.page/c/rounding-answers/index.md): Solve problems which require answers to be rounded to specified degrees of accuracy - [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 ## 5. Grade 4 · Draw and identify lines and angles, and classify shapes by properties of their lines and angles. - [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 - [Lines, Rays & Angles](https://ai.page/c/lines-rays-and-angles/index.md): Draw and identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines; identify these in two-dimensional figures - [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 ## 6. Grade 4 · Understand decimal notation for fractions, and compare decimal fractions. - [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 >, =, < - [Decimals and fractions (age 10+)](https://ai.page/c/decimals-and-fractions-age-10/index.md): Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between simple fractions, decimals, and percentages in different contexts - [Fraction-Decimal Equivalents](https://ai.page/c/fraction-decimal-equivalents/index.md): Recognise and write decimal equivalents of 1/4, 1/2, and 3/4 ## 7. Grade 4 · Build fractions from unit fractions. - [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 - [Multiplying fractions (age 10+)](https://ai.page/c/multiplying-fractions-age-10/index.md): Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal parts; write answers in simplest form - [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 - [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. Grade 4 · Extend understanding of fraction equivalence and ordering. - [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 - [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 ## 9. Grade 4 · Use place value understanding and properties of operations to perform multi-digit arithmetic. - [Place value of each digit](https://ai.page/c/place-value-of-each-digit/index.md): Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) - [Decimal place value](https://ai.page/c/decimal-place-value-2/index.md): Multiply one-digit numbers with up to two decimal places by whole numbers (e.g. 3.47 × 6) ## 10. Grade 4 · Generalize place value understanding for multi-digit whole numbers. - [Decimal place value](https://ai.page/c/decimal-place-value-3/index.md): Round decimals to any place using place-value understanding; round any whole number to a required degree of accuracy - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 - [Place Value × 10 Pattern](https://ai.page/c/place-value-10-pattern/index.md): Recognise that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right (e.g. 700 ÷ 70 = 10) - [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 - [Place Value × 10 and ÷ 10](https://ai.page/c/place-value-10-and-10/index.md): Recognise that in a multi-digit number, a digit in one place represents 10 times as much as in the place to its right and 1/10 of what it represents in the place to its left ## 11. Grade 4 · Generate and analyze patterns. - [Shape patterns](https://ai.page/c/shape-patterns-maths/index.md): Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur ## 12. Grade 4 · Gain familiarity with factors and multiples. - [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 ## 13. Grade 4 · Use the four operations with whole numbers to solve 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 - [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 ## Health: 0 of 100 Of its 31 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): - Understanding fractions has no explanation yet - Halves and quarters (age 8+) has no explanation yet - Measuring angles has no explanation yet - Measuring angles (age 9+) has no explanation yet - What Is an Angle? has no explanation yet - Rounding Answers comes before Decimal place value, which it needs - Rounding Answers has no explanation yet - Measurement Conversions has no explanation yet - 2-D shapes (age 8+) has no explanation yet - Lines, Rays & Angles has no explanation yet - Classifying shapes by line properties has no explanation yet - Decimals for Tenths & Hundredths has no explanation yet - Comparing Decimals has no explanation yet - Decimals and fractions (age 10+) comes before Fractions of a whole (age 10+), which it needs - Decimals and fractions (age 10+) has no explanation yet - Fraction-Decimal Equivalents has no explanation yet - Fractions of a whole (age 10+) has no explanation yet - Multiplying fractions (age 10+) has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Fractions of a whole has no explanation yet - Comparing fractions (age 8+) has no explanation yet - Equivalent fractions (age 9+) has no explanation yet - Place value of each digit has no explanation yet - Decimal place value has no explanation yet - Decimal place value has no explanation yet - Comparing Large Numbers has no explanation yet - Place Value × 10 Pattern has no explanation yet - Reading and writing numbers (age 9+) has no explanation yet - Place Value × 10 and ÷ 10 has no explanation yet - Shape patterns has no explanation yet - Factors, multiples, and primes has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Multiplication and Division Word Problems has no explanation yet Credit: The structure of Oregon academic standards: Mathematics (https://www.oregon.gov/ode/educator-resources/standards/mathematics/Pages/MathStandards.aspx); 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.