# Grade 4: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 24 concepts ready. In the app: https://ai.page/roadmap/jp-mext-grade-4 Part of: [Japan MEXT: Mathematics](https://ai.page/roadmap/jp-mext.md) Goal: Japan Course of Study (MEXT), elementary school: Mathematics, Grade 4 ## 1. Numbers and Calculations · To help pupils deepen their understanding that integers are represented by the decimal positional numeration system. - [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 >, =, < ## 2. Numbers and Calculations · To help pupils understand round numbers and use them according to their purposes. - [Rounding Answers](https://ai.page/c/rounding-answers/index.md): Solve problems which require answers to be rounded to specified degrees of accuracy - [Estimating by rounding](https://ai.page/c/estimating-by-rounding/index.md): Estimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning ## 3. Numbers and Calculations · To help pupils deepen their understanding of division of integers, divide accurately, and extend their ability to use the calculation appropriately. - [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 - [Division with Decimals](https://ai.page/c/division-with-decimals/index.md): Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers - [Dividing by two-digit numbers](https://ai.page/c/dividing-by-two-digit-numbers/index.md): Divide numbers up to 4 digits by a two-digit number using formal written short division where appropriate, interpreting remainders according to context - [Dividing by Fractions](https://ai.page/c/dividing-by-fractions/index.md): Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and division to explain why the quotient is larger than the dividend - [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 ## 4. Numbers and Calculations - [Adding and subtracting (age 9+)](https://ai.page/c/adding-and-subtracting-age-9/index.md): Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why - [Adding and subtracting (age 8+)](https://ai.page/c/adding-and-subtracting-age-8/index.md): Add and subtract numbers with up to four digits using formal written methods of columnar addition and subtraction ## 5. Numbers and Calculations · To help pupils deepen their understanding of decimal numbers as well as their understanding of addition and subtraction of decimal numbers, and to help them understand the m - [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) - [Adding and subtracting (age 10+)](https://ai.page/c/adding-and-subtracting-age-10/index.md): Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why, with numbers up to 10,000,000 and decimals ## 6. Numbers and Calculations · To help pupils deepen their understanding of fractions, and to help them understand the meaning of addition and subtraction of fractions with the same denominators, and use - [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 - [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 - [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 ## 7. Quantities and Measurements · To help pupils understand the meaning of units and measurements of area, and determine the area by calculation. - [Area (age 8+)](https://ai.page/c/area-age-8/index.md): Measure areas by counting unit squares (square cm, square m, square in, square ft) ## 8. Quantities and Measurements · To help pupils understand the meaning of unit and measurements of angle, and measure angles. - [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 - [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 ## 9. Geometrical Figures · Through activities such as observing and composing geometrical figures, to help pupils pay attention to the elements that compose geometrical figures as well as their positional - [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 ## 10. Geometrical Figures · Through activities such as observing and composing geometrical figures, to help pupils understand solid geometrical figures. - [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 ## 11. Mathematical Relations · To help pupils represent and explore the relationships between two numbers/quantities as they vary simultaneously. - [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 ## 12. Mathematical Relations · To help pupils understand the algebraic expressions that represent the relationships between numbers/quantities, and use these expressions. - [Understanding fractions (age 10+)](https://ai.page/c/understanding-fractions-age-10/index.md): Move fluently between real-world situations, diagrams, coordinate grids, algebraic expressions, tables, and symbolic equations involving fractions, ratio, and algebra, explaining connections between representations ## 13. Mathematical Relations · To help pupils deepen their understanding of the properties of the four basic operations. - [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 ## Health: 0 of 100 Of its 24 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): - Comparing Decimals has no explanation yet - Rounding Answers comes before Division with Decimals, which it needs - Rounding Answers has no explanation yet - Estimating by rounding has no explanation yet - Division with remainders (age 10+) has no explanation yet - Division with Decimals has no explanation yet - Dividing by two-digit numbers has no explanation yet - Dividing by Fractions has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Adding and subtracting (age 9+) has no explanation yet - Adding and subtracting (age 8+) has no explanation yet - Decimals for Tenths & Hundredths has no explanation yet - Adding and subtracting (age 10+) has no explanation yet - Fraction Addition Concepts has no explanation yet - Adding fractions (different denominators) has no explanation yet - Fraction Notation has no explanation yet - Area (age 8+) has no explanation yet - Degrees and turns has no explanation yet - Measuring angles has no explanation yet - Classifying shapes by line properties comes before Lines, Rays & Angles, which it needs - Classifying shapes by line properties has no explanation yet - Classifying shapes by properties has no explanation yet - Lines, Rays & Angles has no explanation yet - Number Pattern Relationships has no explanation yet - Understanding fractions (age 10+) has no explanation yet - Properties of Operations has no explanation yet Credit: The structure of Japan Course of Study (MEXT), elementary school: Mathematics (https://www.mext.go.jp/component/english/__icsFiles/afieldfile/2011/03/17/1303755_004.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.