Grade 2Shapes, Arrays and Equal Shares2.G.A.1

Shapes by Sides, Angles and Faces

Name triangles, quadrilaterals, pentagons, hexagons and cubes.

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You learned what makes a shape a shape (What Makes a Shape a Shape): sides and corners matter, but color, size and turning don’t. Now you can name shapes by counting.

Press “Next shape”. Drag a corner to change the shape and watch its name.
Flat shapes with straight sides.
NameSidesCorners (angles)
triangle33
quadrilateral44
pentagon55
hexagon66

Why it works

A corner is where two sides meet, so a closed flat shape always has as many corners as sides. The names count, too: tri- means 3, quad- means 4, penta- means 5 and hexa- means 6.
All three are hexagons. Count 6 sides on each one.

Worked example: Name it

A flat shape has 5 straight sides. What is it?
  1. Penta- means 5.
  2. A shape with 5 sides and 5 corners is a pentagon.

Answer: a pentagon

Worked example: A cube

How many faces does a cube have?
  1. Each face is a square.
  2. Top, bottom, front, back, left, right: 6 faces.
  3. A cube also has 8 corners (vertices) and 12 edges.

Answer: 6 faces

Drag to turn the cube, and count its faces, edges and corners.

Key idea

Name flat shapes by counting sides or corners: 3 triangle, 4 quadrilateral, 5 pentagon, 6 hexagon. A cube has 6 square faces.

Common mistake

Thinking a shape is only a hexagon if it looks like a honeycomb cell. Any closed flat shape with 6 straight sides is a hexagon, even an L-shape like B. Check: count the sides with your finger.
Grown-up tip: Go on a shape hunt: find triangles, quadrilaterals and hexagons around the house, and count their sides.

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 2, standard 2.G.A.1 (recognize and draw shapes with given attributes; identify triangles, quadrilaterals, pentagons, hexagons and cubes)
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