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The Lumenary
幼儿园至二年级Geometry & Topology计划中

Shapes

Recognising, naming, sorting and building two- and three-dimensional shapes by their attributes, such as number of sides and corners and whether faces are flat or curved.

math.geom.shapes

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前置知识

没有前置要求——从这里开始吧!

你将学会

  • Name and describe circles, triangles, squares, rectangles, cubes, cylinders, cones and spheres, whatever their size or orientation.
  • Sort shapes by attributes such as the number of sides or corners, and explain the sorting rule.
  • Compose larger shapes from smaller ones and decompose shapes into parts.

定义

  • A triangle is a closed flat shape with three straight sides.
  • A side is a straight edge of a flat shape; a corner (vertex) is where two sides meet.
  • A square is a rectangle whose four sides all have the same length.

定理

  • Turning or moving a shape does not change what shape it is.
  • Every square is a rectangle, but not every rectangle is a square.

常见误解

  • Thinking a square turned onto a corner is no longer a square.
  • Believing a triangle must have a flat bottom or equal sides.
  • Treating colour or size as part of what makes a shape a triangle or a square.

通向

可选发现

  • Sets Sorting shapes into overlapping groups, such as 'four-sided' and 'red', leads to Venn diagrams.

学习路径