Lesson 16

Coordinate Design Challenge

Plot, translate, and justify a design on a first-quadrant grid

Success criteria

Learn and explain

Rectangle ABCD plotted in orderA at 1, 1; B at 5, 1; C at 5, 4; D at 1, 4; A at 1, 1 01122334455667788991010 ABCDA xy
Rectangle ABCD plotted in order. A at 1, 1; B at 5, 1; C at 5, 4; D at 1, 4; A at 1, 1.

The horizontal and vertical side lengths can be read from coordinate differences. That makes the perimeter 14 units. Explain why subtracting x-values works on a horizontal side but not on a diagonal side.

Independent practice

Find the perimeter of rectangle ABCD.

units

Point C moves 2 right and 3 up. What are its new coordinates?

Unfamiliar transfer — Coordinate Battleship (paper fallback)

This is paper-first. On two hidden 10 × 10 first-quadrant grids, each player draws three axis-aligned ships. Call one ordered pair per turn and mark hit or miss. After play, write the coordinates of one ship and explain how you avoided reversing x and y.

The activity is only a coded-game candidate after the core course is on schedule; this lesson does not require software.

Then create a four-to-eight-point logo on graph paper. Translate it without changing its size or shape and list old/new coordinate pairs.

Delayed check

One to two weeks later, reproduce the logo from only its ordered-pair list, then check whether every segment and translation matches.

Evidence path

Save the original and translated coordinate designs to jeremy/portfolio/math/unit-5/lesson-16-coordinate-design/ with a short explanation of two shape relationships.

Next step

Learning record

Evidence and next step

Saved on this browser

Completion is not mastery. Save the durable work in the repository, then record its path here.