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How to learn Grade 3: Mathematics

Japan Course of Study (MEXT), elementary school: Mathematics, Grade 3

0 of 22 concepts ready to learn · Markdown, for your AI

1. Numbers and Calculations · To help pupils deepen their understanding of the representations of integers, and extend their ability to use the numbers.

  1. Tenths (age 8+): Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 or dividing tenths by 10
  2. What Multiplication Means: 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.

  1. Adding and subtracting (age 7+): Add and subtract numbers with up to three digits using formal written methods of columnar addition and subtraction
  2. Adding and subtracting (age 8+): Add and subtract numbers with up to four digits using formal written methods of columnar addition and subtraction
  3. Adding and subtracting (age 9+): 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.

  1. Written Multiplication: 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.

  1. Division with remainders: 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
  2. What Division Means: 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.

  1. Decimal & Percent Notation: 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
  2. Decimals for Tenths & Hundredths: 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.

  1. Understanding fractions: Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents
  2. Fraction Addition Concepts: 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
  3. Unit fractions: 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.

  1. Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
  2. Measuring with different units: Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
  3. Comparing lengths by measuring: 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

  1. Estimating Lengths: Estimate lengths using units of inches, feet, centimetres, and metres

9. Quantities and Measurements · To help pupils understand time.

  1. Estimating answers (age 7+): 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

  1. Classifying shapes by line properties: 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
  2. Understanding angles: Recognise angles as a property of shape or a description of a turn
  3. Composing Shapes: 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.

  1. Pictograms and tally charts: Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables