# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 22 concepts ready. In the app: https://ai.page/roadmap/jp-mext-grade-3 Part of: [Japan MEXT: Mathematics](https://ai.page/roadmap/jp-mext.md) Goal: Japan Course of Study (MEXT), elementary school: Mathematics, Grade 3 ## 1. Numbers and Calculations · To help pupils deepen their understanding of the representations of integers, and extend their ability to use the numbers. - [Tenths (age 8+)](https://ai.page/c/tenths-age-8/index.md): Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 or dividing tenths by 10 - [What Multiplication Means](https://ai.page/c/what-multiplication-means/index.md): Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7) ## 2. Numbers and Calculations · To help pupils add and subtract accurately, and extend their ability to use the calculations appropriately. - [Adding and subtracting (age 7+)](https://ai.page/c/adding-and-subtracting-age-7/index.md): Add and subtract numbers with up to three digits using formal written methods of columnar addition and subtraction - [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 - [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 ## 3. Numbers and Calculations · To help pupils deepen their understanding of multiplication, multiply accurately, and extend their ability to use the calculation appropriately. - [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 ## 4. Numbers and Calculations · To help pupils understand the meaning of division, and use the calculation. - [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 - [What Division Means](https://ai.page/c/what-division-means/index.md): Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups) ## 5. Numbers and Calculations · To help pupils understand the meaning and the representations of decimal numbers. - [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) ## 6. Numbers and Calculations · To help pupils understand the meaning and the representations of fractions. - [Understanding fractions](https://ai.page/c/understanding-fractions-2/index.md): Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents - [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 - [Unit fractions](https://ai.page/c/unit-fractions/index.md): Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators ## 7. Quantities and Measurements · To help pupils deepen their understanding of length, and to help them understand the meaning of units and measurements of weight, and measure the weight. - [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 - [Comparing lengths by measuring](https://ai.page/c/comparing-lengths-by-measuring/index.md): Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit ## 8. Quantities and Measurements - [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres ## 9. Quantities and Measurements · To help pupils understand time. - [Estimating answers (age 7+)](https://ai.page/c/estimating-answers-age-7/index.md): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours ## 10. Geometrical Figures · Through activities such as observing and composing geometrical figures, to help pupils pay attention to the elements that compose geometrical figures and understand geometrical f - [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 - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn - [Composing Shapes](https://ai.page/c/composing-shapes/index.md): Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape ## 11. Mathematical Relations · To help pupils organize and classify data, and represent them clearly by using tables and graphs, and interpret these representations. - [Pictograms and tally charts](https://ai.page/c/pictograms-and-tally-charts/index.md): Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables ## Health: 0 of 100 Of its 22 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): - Tenths (age 8+) has no explanation yet - What Multiplication Means has no explanation yet - Adding and subtracting (age 7+) has no explanation yet - Adding and subtracting (age 8+) has no explanation yet - Adding and subtracting (age 9+) has no explanation yet - Written Multiplication has no explanation yet - Division with remainders has no explanation yet - What Division Means has no explanation yet - Decimal & Percent Notation has no explanation yet - Decimals for Tenths & Hundredths has no explanation yet - Understanding fractions has no explanation yet - Fraction Addition Concepts has no explanation yet - Unit fractions has no explanation yet - Calculating with measurements has no explanation yet - Measuring with different units has no explanation yet - Comparing lengths by measuring has no explanation yet - Estimating Lengths has no explanation yet - Estimating answers (age 7+) has no explanation yet - Classifying shapes by line properties has no explanation yet - Understanding angles has no explanation yet - Composing Shapes has no explanation yet - Pictograms and tally charts 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.