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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.

Alaska content standards learning standard: 5.G.3; 5.G.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 Alaska

In the Alaska content standards, 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: Alaska Department of Education and Early Development

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

    Two faces on opposite sides of a box are…

    • triangles
    • parallel
    • perpendicular

  2. Question 2

    Which shape has all sides equal but no right angles?

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

  3. Question 3

    A kite has two pairs of equal sides that are…

    • next to each other
    • all the same length
    • opposite each other

  4. Question 4

    A rhombus has…

    • only two equal sides
    • three equal sides
    • four equal sides

  5. Question 5

    Every square is also a…

    • trapezoid with no parallel sides
    • rectangle
    • triangle

  6. Question 6

    Opposite sides equal, opposite angles equal, no right angles. Which shape?

    • square
    • rectangle
    • parallelogram

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