Learn on PengiReveal Math, Course 1Module 8: Area

8-1 Area of Parallelograms

In this Grade 6 lesson from Reveal Math, Course 1, students learn how to find the area of parallelograms by decomposing them into rectangles and applying the formula A = bh, where b is the base and h is the perpendicular height. The lesson covers both calculating area given base and height dimensions and solving for a missing dimension when the area is known. Students practice with real-world contexts such as flag stripes and parking spaces involving whole numbers and fractions.

Section 1

Definition of a Parallelogram

Property

A parallelogram is a four-sided shape (quadrilateral) with two pairs of parallel sides. Opposite sides are equal in length, and opposite angles are equal in measure.

Examples

  • A square is a special parallelogram with four equal sides and four 90° angles.
  • A rhombus with a side length of 5 is a parallelogram where all four sides are equal, but the angles may not be 90°.
  • A standard rectangle is also a parallelogram because its opposite sides are parallel.

Explanation

Think of a rectangle that's been pushed over! Its opposite sides stay parallel and equal, but the angles aren't necessarily perfect right angles anymore. It's a shape that loves to lean while keeping its opposite sides perfectly aligned, just like a disciplined dancer mid-pose.

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Definition of a Parallelogram

Property

A parallelogram is a four-sided shape (quadrilateral) with two pairs of parallel sides. Opposite sides are equal in length, and opposite angles are equal in measure.

Examples

  • A square is a special parallelogram with four equal sides and four 90° angles.
  • A rhombus with a side length of 5 is a parallelogram where all four sides are equal, but the angles may not be 90°.
  • A standard rectangle is also a parallelogram because its opposite sides are parallel.

Explanation

Think of a rectangle that's been pushed over! Its opposite sides stay parallel and equal, but the angles aren't necessarily perfect right angles anymore. It's a shape that loves to lean while keeping its opposite sides perfectly aligned, just like a disciplined dancer mid-pose.