How to learn Grade 1: Mathematics
Japan Course of Study (MEXT), elementary school: Mathematics, Grade 1
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1. Numbers and Calculations · Through activities such as counting the numbers of concrete objects, to help pupils understand the meaning of numbers and use numbers.
- One-to-one counting: One-to-one correspondence when counting objects: each object is paired with exactly one number name
- Sorting into categories: Classify objects into given categories, count the number in each category, and sort the categories by count
- Representing numbers with objects: Represent numbers using objects, pictorial representations, and the number line
- Division as equal sharing: Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made)
- Understanding fractions: Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents
2. Numbers and Calculations · To help pupils understand the meaning of addition and subtraction and use the calculations.
- Addition as combining or putting together two: Understand addition as combining or putting together two groups to find the total
- Adding and subtracting: Add and subtract one-digit and two-digit numbers to 20, including zero
- Adding and subtracting (age 7+): Add and subtract numbers with up to three digits using formal written methods of columnar addition and subtraction
- Adding two two-digit numbers: Add and subtract two two-digit numbers using concrete objects, pictorial representations, and mental methods
- Money Addition & Subtraction: Solve simple money problems involving addition and subtraction, including giving change
3. Quantities and Measurements · Through activities such as comparing sizes of concrete objects, to help pupils enrich their experiences that will form the foundation for understanding quantities and mea
- 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
- Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
4. Quantities and Measurements
- 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
5. Geometrical Figures · Through activities such as observing and composing the shapes of familiar objects, to help pupils enrich their experiences that will form the foundation for understanding geometr
- 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
- Positional Language: Describe the position of objects using terms such as above, below, beside, in front of, behind, next to
6. Mathematical Relations
- Representing Addition and Subtraction: Represent addition and subtraction using objects, drawings, and mental images