Area of Triangles, Parallelograms & Trapezoids: Middle School Geometry

Three student groups each master one area formula, then jigsaw into trios to teach the formula to classmates who studied the other two shapes.
Year groups
Years 6–8
Pages
5
File type
PDF
Preparation
Print ready

Updated Apr 16, 2026

Subject
Maths, Geometry, Measurements
Topic
Jigsaw, Hands-On Maths
Resource types
Teacher Tools
Preparation
Print ready

From the author

About this resource

Using the JIGSAW grouping strategy, your students can master the geometric formulas for the area of triangles, parallelograms, and trapezoids.

Jigsaw is a great way to encourage your students to work collaboratively and take control of their own learning. Students become experts at one skill, teach it to others, and also learn from their peers. This lesson uses the jigsaw strategy and an inquiry approach to help students understand the explanation for three area formulae.

Teacher Instructions:

  • Print two-page handouts (a third with each page 1, and all with the same page 2).

  • Split your class into three groups.

  • Each group is asked to master finding the area of one shape.

  • Students collaborate, using the grid, to prove/explain the formula.

  • THEN JIGSAW: Make trios with one expert from each group.

  • The three students teach each other about each formula.

This is a great lesson to reinforce the learning in a geometry unit, or it could be used an initial inquiry before you teach the formulas.

Grades to Use With:

This lesson is specifically designed for students in grade 6 and meets the following standard:

Common Core Standard: 6th Grade Geometry: Find the area of triangles and special quadrilaterals

British Columbia, Canada: Learning Standard Grade 6 Math: Determine the Area of Triangles, Parallelograms, and Trapezoids

However, it could also work with slightly older or younger students depending on split classes or your area's learning standards.

What's Included: 5-Page PDF: Ready to Print and Use

  • Title Page/Teacher Instructions

  • 3 Unique Worksheets: One for each JIGSAW Group

  • A final worksheet you give to every student

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In the classroom

Teaching tips & learning objectives

Learning objectives

  • Derive and explain the area formula for a triangle (b x h / 2) using a grid model
  • Derive and explain the area formula for a parallelogram (b x h) using a grid model
  • Derive and explain the area formula for a trapezoid ((a + b) / 2 x h) using a grid model
  • Teach a peer-derived formula accurately after hearing it explained by a classmate expert

Teaching tips

  • Print the two-page handout in triplicate, since a third of the class gets each shape as the teacher instructions specify
  • Have expert groups finish the grid-based proof before starting the jigsaw rotation, so every trio receives a fully worked explanation
  • Circulate during the trio phase to confirm all three formulas make it onto every student's sheet, since accuracy depends entirely on peer explanation

Skills covered

  • Area of 2D shapes
  • Geometry
  • Cooperative learning

Good to know

Questions teachers ask about this resource

Is the second handout page the same for all three groups, or unique to each shape?

The same for all groups — the teacher instructions specify printing each group's unique page 1 with a shared page 2.

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