Pennant Placement: Move, Flip, Turn, Scale
Pennant Placement: Interactive Transformations and Similarity Practice for Grade 8 (8.G.A.4)
Make transformations click with a hands-on, real-world activity your 8th graders will want to finish. In Pennant Placement, students work the design desk at their school’s spirit shop. The Riverside pennant needs to go on a water bottle, a hoodie sleeve, a hallway poster, a backpack keychain and a bus window decal. The catch is that the print software can’t drag anything. It only follows exact moves, so students must build a precise sequence of transformations to land the logo on each approved spot.
As students choose each move, the pennant updates on a live coordinate grid. They see every intermediate step, and the shape turns green the moment it lands exactly. This instant visual feedback turns trial and error into real reasoning about how each transformation changes a figure.
What students do
- Chain up to four moves (translate, reflect over the x- or y-axis, rotate 90° or 180° about the origin, dilate by a scale factor) to map one figure onto another
- Track vertices A through E so they can see how orientation and position change with each move
- Read side lengths from the grid and calculate the scale factor themselves
- Classify each pair of figures as congruent or similar
- Decide whether a vendor’s proof is really a similar copy of the logo, and prove it by finding the sequence
Why teachers like it
- Auto-graded with instant feedback: answers are checked as students work, and you can watch progress live on your dashboard
- Randomized for every student: each student gets different starting positions, required moves and targets, so answers can’t simply be copied
- Any valid sequence earns credit: students who find a different route to the same result still get full marks, which rewards real understanding
- Ready to assign: includes a 2-slide intro that students read on their own, covering the four moves and the difference between congruent and similar figures
- Built-in scaffolding: a reference panel shows what each move does to a point (x, y), and the first problem includes a hint
Standards
- CCSS 8.G.A.4: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations and dilations; given two similar figures, describe a sequence that exhibits the similarity between them
- Also reinforces 8.G.A.3 (describing transformations using coordinates)
Details
- Grade level: 8 (also works for Algebra 1 or Geometry review)
- Format: interactive online worksheet, 5 problems, 20 points
- Time: about 25 to 35 minutes
- Works for whole-class practice, independent work, homework or intervention
Keywords: transformations worksheet, similar figures, congruent figures, translations reflections rotations dilations, sequence of transformations, 8th grade geometry, 8.G.A.4, coordinate plane, scale factor, interactive math activity, auto-graded math practice
Learning Objective
In this activity, students act as the design desk at a school spirit shop and place a pennant logo on six products by chaining moves (translations, reflections, rotations about the origin and dilations) on a coordinate grid until the pennant lands exactly on an approved outline. For each placement they read lengths off the grid, work out the scale factor, and decide whether the two figures are congruent or only similar. In the last two problems they check vendor proofs by comparing side ratios: they either prove that two figures are similar by finding the sequence of moves, or show that no sequence can work because the ratios don’t match. This builds the 8.G.A.4 understanding that two figures are similar exactly when one can be mapped onto the other by a sequence of rigid motions and dilations, and that a single scale factor across corresponding sides is the evidence of similarity.
Randomization Available
The worksheet supports randomization, if enabled, every student will see the shapes in different positions and will need different movements.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
