Grade 1Shapes and Equal Shares1.G.A.1

What Makes a Shape a Shape

Sides and corners matter; color, size and turning do not.

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In Kindergarten you counted sides and corners. Those are what make a shape a shape.

Big, small or turned: all three are triangles. Each has 3 straight sides and 3 corners.
Defining attributes.
Matters for the nameDoes not matter
how many straight sidescolor
how many cornerssize
closed, with no gapswhich way it is turned

Key idea

A shape’s name depends on its defining attributes: closed, straight sides, and how many sides and corners. Color, size and turning do not matter.

Why it works

If you paint a triangle blue or make it bigger, it still has 3 straight sides and 3 corners. That is what “triangle” means.

Worked example: Same kind?

Is a tiny blue triangle the same kind of shape as a big red triangle?
  1. Both are closed, with 3 straight sides and 3 corners.
  2. Yes: both are triangles.

Answer: Yes

Common mistake

Thinking a big red triangle and a small blue triangle are different kinds of shapes. Count sides and corners, and ignore color and size.
For grown-ups: Cut out shapes in different sizes and colors. Ask your child to sort them by shape, not by color.

Practice

Pass with 3 right answers, the last 2 in a row. Each right answer earns 1 XP.

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Sources and further reading

  • Common Core State Standards for Mathematics, Grade 1, 1.G.A.1: distinguish defining attributes (closed, three-sided) from non-defining attributes (color, orientation, size)
  • Institute of Education Sciences practice guide: Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades (WWC 2021006)
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