7/28/2019 Japanese Elementary Math Curriculum: Polygon Area
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Learning Trajectory for Polygon Area in Japanese Curriculum
(Tokyo Shoseki, 2006)
Grade Level, No. of 45-Min.
Periods, Textbook Pages
Student Learning Activities
Gr.1:
Playing with Shapes, pp. 5356
4 periods
Notice, classify, and make 3-D shapes. Trace outlines of block
faces tomake rectangle, square, triangle, circle. Classify
resulting shapes.
Gr.1:
Which One is Longer? pp. 57
584 periods
Use 3 measurement strategies: direct, indirect and non-standard
units. In
final task, students figure out starting point for measurement,
using grid.
Gr.1:
Making Shapes, pp. 101104
4 periodsCompose, decompose, and manipulate geometric figures,
using plastic
triangles and squares, sticks, and dot grid.Gr. 2A
Length (1), pp. 2533
8 periodsEstimate length, measure length with non-standard units
andcentimeters. Draw straight line, learn what a straight line
is.
Write expression for measurement of two-segment line.
Gr. 2B
Triangles and Quadrilaterals, pp.212
8 periods
Draw, define, and distinguish triangles and quadrilaterals. Make
and
define right angle. Use set-square. Make, define and distinguish
square,rectangle, and right triangle
Gr. 2BShapes of Boxes, pp. 6873
7 periodsIdentify rectangles and lengths of their sides on 3D
solids. (Identifynumber of faces, vertices, and edges on
rectangular prisms.)
Gr. 2B
Shapes of Boxes, pp. 6873
7 periodsIdentify rectangles and lengths of their sides on 3D
solids. (Identify
number of faces, vertices, and edges on rectangular prisms.)Gr.
3B
Triangles, pp. 212
8 periods
Make triangles with sticks, classify and define isosceles and
equilateral
triangles, and draw both types with compass. Use set-square and
folding
to compare angles.
Gr. 4A
Angles, pp. 1624
7 periods
Measure angles, using non-standard measure and protractor.
Draw
angles, write expressions for angle measurements.
Gr. 4A
Quadrilaterals, pp. 80
9914 periods
Identify and draw perpendicular and parallel lines. Understand
that the
width between parallel lines is always equal and a straight line
intersectsparallel lines at equal angles. Make trapezoids,
parallelograms and
rhombuses and investigate their characteristics; draw diagonals
of eachand investigate their length and intersection angle.
Gr. 4A
Tangrams, pp. 100101
2 periods
Make shapes from paper triangles, square, parallelogramattending
to
lengths of sides, measure of angles.Gr. 4B
Area, pp. 2237.
See Teachers Manual
11 periods
Consider meaning of area, think about how to measure a rectangle
and
square, finally using a square centimeter for measurement. See
square
centimeters that are not square in shape. Build formula for area
ofrectangle and square, create shapes with a given area, find area
of
composite figures. Link numerical expressions to areas of
decomposedfigures. Learn measurement units for large areas.
Gr. 5A
Congruent Shapes, pp. 5267
See Teachers Manual
10 periods
Find, manipulate, investigate and draw congruent triangles
andquadrilaterals, with focus on congruent shapes, sides, and
angles, to
build perception of shape. Investigate which quadrilaterals
havecongruent triangles when divided by diagonal. Find angle sum
of
triangle, quadrilateral, pentagon, hexagon.
Gr. 5A
Area of Quadrilaterals and
Triangles, pp. 68-84.
See Teachers Manual
15 periods
Use rectangle area formula and transformation to find formulas
for areasof parallelograms, triangles, trapezoids. Use grid, then
base and height.
Coordinate mathematical expressions, measurement, and
geometry.
