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🔺 5th grade math · Shapes & Space

Shape families

A square has all that a rectangle needs, so every square is a rectangle. But not every rectangle is a square.

Worked example

True or false: every rectangle is a parallelogram.
Answer: True
True. A rectangle has two pairs of parallel sides.

For grown-ups: Hierarchy of 2-D figures. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 5.G.B.3–4
What this practises, for teachers

Practices hierarchy of 2-D figures (5.G.B.3–4). A printable sheet with its answer key, worked answers on the page, no accounts.

▶ Practise it

For your class

🖨️ Printable sheet and key

On the board with this skill:

Try three

  1. True or false: every rhombus is a quadrilateral.
    Show the answer and how
    Answer: True
    True. A rhombus has 4 sides.
  2. True or false: every square is a rectangle.
    Show the answer and how
    Answer: True
    True. A square has 4 square corners, and that is all a rectangle needs.
  3. True or false: every parallelogram is a quadrilateral.
    Show the answer and how
    Answer: True
    True. A parallelogram has 4 sides.

Before and after

Learn first: Dots on a grid (5th)

Comes next: Shapes on a coordinate grid (6th)

Name: ____________________Date: ____________Score: ____ / 12

Shape families (5th grade)

  1. True or false: every rhombus is a rectangle.
  2. True or false: every parallelogram is a rhombus.
  3. True or false: every rhombus is a quadrilateral.
  4. True or false: every square is a quadrilateral.
  5. True or false: every quadrilateral is a parallelogram.
  6. True or false: every rectangle is a rhombus.
  7. True or false: every rectangle is a rhombus.
  8. True or false: every square is a rhombus.
  9. True or false: every quadrilateral is a rectangle.
  10. True or false: every square is a rhombus.
  11. True or false: every square is a quadrilateral.
  12. True or false: every rhombus is a parallelogram.

Answer key

  1. False
  2. False
  3. True
  4. True
  5. False
  6. False
  7. False
  8. True
  9. False
  10. True
  11. True
  12. True

More 5th grade skills: all 5th grade math skills, or every grade at math skills.