# Grade 4: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 35 concepts ready. In the app: https://ai.page/roadmap/ok-grade-4 Part of: [Oklahoma: Mathematics](https://ai.page/roadmap/ok.md) Goal: Oklahoma academic standards: Mathematics, Grade 4 ## 1. Data & Probability · Summarize, construct, and analyze 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) - [Fractions, Decimals & Percentages](https://ai.page/c/fractions-decimals-and-percentages/index.md): Look for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication; apply angle facts to find unknowns; use properties of regular polygons systematically ## 2. Geometry & Measurement · Determine elapsed time and convert between units of time. - [Converting measurement units](https://ai.page/c/converting-measurement-units/index.md): Convert between different units of measure (e.g. kilometre to metre, hour to minute, minute to second, year to month, week to day) ## 3. Geometry & Measurement · Recognize and measure attributes in real-world and mathematical situations using various tools. - [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 length (age 7+)](https://ai.page/c/measuring-length-age-7/index.md): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes - [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 - [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres - [Counting Unit Cubes](https://ai.page/c/counting-unit-cubes/index.md): Measure volumes by counting unit cubes using cubic cm, cubic in, cubic ft, and other units - [Estimating answers (age 10+)](https://ai.page/c/estimating-answers-age-10/index.md): Find the volume of right rectangular prisms by packing with unit cubes and show it equals l × w × h (or base area × height); apply V = l × w × h and V = B × h to solve real-world problems; calculate, estimate, and compare volumes of cubes and cuboids in standard units (cm³, m³) - [Volume as additive](https://ai.page/c/volume-as-additive/index.md): Recognise volume as additive; find volumes of composite solid figures made of two or more non-overlapping right rectangular prisms - [Perimeters of polygons](https://ai.page/c/perimeters-of-polygons/index.md): Solve problems involving perimeters of polygons: find perimeter from side lengths, find an unknown side length, and explore rectangles with same perimeter but different areas (or vice versa) - [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 ## 4. Geometry & Measurement · Name, describe, classify, and construct polygons and three-dimensional figures based on their attributes; recognize polygons and three-dimensional figures in real-life and mat - [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 - [Classifying shapes by properties](https://ai.page/c/classifying-shapes-by-properties/index.md): Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties ## 5. Algebraic Reasoning & Algebra · Use multiplication and division with variables to create number sentences representing a given mathematical situation. - [Writing Algebraic Equations](https://ai.page/c/writing-algebraic-equations/index.md): Express missing number problems algebraically using letters for unknowns; translate word problems into equations - [Algebraic Transformations](https://ai.page/c/algebraic-transformations/index.md): Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations - [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 ## 6. Numbers & Operations · Determine the value of bills and coins in order to solve monetary transactions. - [Halves and quarters (age 7+)](https://ai.page/c/halves-and-quarters-age-7/index.md): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately ## 7. Numbers & Operations · Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand decimal quantities. - [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 >, =, < - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-3/index.md): Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line - [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) - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-maths/index.md): Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows - [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 ## 8. Numbers & Operations · Solve real-world and mathematical problems using multiplication and division. - [Properties of Operations](https://ai.page/c/properties-of-operations/index.md): Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide - [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 - [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 - [Written Multiplication](https://ai.page/c/written-multiplication/index.md): Multiply two-digit and three-digit numbers by a one-digit number using formal written layout - [Fluent multiplication and division facts](https://ai.page/c/fluent-multiplication-and-division-facts/index.md): Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division ## 9. Numbers & Operations · Compare and represent whole numbers up to 1,000,000 with an emphasis on place value and equality. - [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 - [Mental multiplication and division](https://ai.page/c/mental-multiplication-and-division/index.md): Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 1, and multiplying together three numbers - [Place Value to 1000](https://ai.page/c/place-value-to-1000/index.md): Solve number problems and practical problems involving place value of numbers up to 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 ## Health: 0 of 100 Of its 35 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 - Fractions, Decimals & Percentages has no explanation yet - Converting measurement units comes before Calculating with measurements, which it needs - Converting measurement units has no explanation yet - Calculating with measurements has no explanation yet - Measuring length (age 7+) has no explanation yet - Measuring with different units has no explanation yet - Estimating Lengths has no explanation yet - Counting Unit Cubes has no explanation yet - Estimating answers (age 10+) has no explanation yet - Volume as additive has no explanation yet - Perimeters of polygons has no explanation yet - Measuring angles has no explanation yet - Lines, Rays & Angles has no explanation yet - Classifying shapes by line properties has no explanation yet - Classifying shapes by properties has no explanation yet - Writing Algebraic Equations has no explanation yet - Algebraic Transformations has no explanation yet - Multiplication and Division Word Problems has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Comparing Decimals has no explanation yet - Fractions on a number line has no explanation yet - Decimal & Percent Notation has no explanation yet - Decimals for Tenths & Hundredths has no explanation yet - Fractions on a number line has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Properties of Operations has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Real-world fraction multiplication has no explanation yet - Written Multiplication has no explanation yet - Fluent multiplication and division facts has no explanation yet - Numbers to 10,000 has no explanation yet - Comparing Large Numbers has no explanation yet - Mental multiplication and division has no explanation yet - Place Value to 1000 has no explanation yet - Reading and writing numbers (age 9+) has no explanation yet Credit: The structure of Oklahoma academic standards: Mathematics (https://sde.ok.gov/sites/default/files/2022%20OAS-M%20FINAL.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.