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5th grade · Math · Unit 8 of 14

Parallel Lines and Quadrilaterals

Sort four-sided shapes

What your child practices

Finding parallel and perpendicular edges and sides, and sorting quadrilaterals (rectangles, squares, trapezoids, parallelograms and rhombuses) by their sides and angles.

Maine Learning Results learning standard: 5.G.B.3; 5.G.B.4 · classifying two-dimensional figures in a hierarchy by their properties

How we explain it

Children can open this short lesson before they practice.

  1. Parallel lines stay the same distance apart and never meet.
  2. Perpendicular lines meet at a right angle.
  3. Sort quadrilaterals by parallel sides and equal sides.

Example: A quadrilateral has two pairs of parallel sides and four right angles. What could it be? Two pairs of parallel sides: a parallelogram. Four right angles: a rectangle. Answer: A rectangle

Parallel Lines and Quadrilaterals in Maine

In the Maine Learning Results, this is unit 8 of 14 in 5th grade Math, after Mental Math Tricks and before Converting Units.

Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.

Source: Maine Department of Education

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Which shape has all sides equal but no right angles?

    • a square
    • a rectangle
    • a rhombus that is not a square

  2. Question 2

    Which shape has four equal sides and four right angles?

    • square
    • parallelogram
    • trapezoid

  3. Question 3

    A parallelogram has…

    • exactly one pair of parallel sides
    • two pairs of parallel sides
    • no parallel sides

  4. Question 4

    The hands of a clock at 3:00 are…

    • the same line
    • perpendicular
    • parallel

  5. Question 5

    A quadrilateral has…

    • five sides
    • three sides
    • four sides

  6. Question 6

    A shape has 4 equal sides but no right angles. Which is it?

    • rhombus
    • rectangle
    • square

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