iPad Activities

The following activities were developed for the Sketchpad Explorer app developed by KCP Tech, which is a free download in the iTunes store. Sketchpad Explorer is an application that allows users to view and manipulate dynamic sketches created in the popular dynamic geometry environment The Geometer's Sketchpad® on their iPad. The interface for Sketchpad Explorer is intentionally minimal, containing no construction tools, because the goal is to reduce or zero out the "learning curve" of conventional geometry software.

Etchasketch!
Students each control a point that moves along one dimension, just like Etchasketch knobs. The goal is for the students to move the points to trace along a shape, like a circle.
Download Sketch
Estimating Shape Area
Students estimate the area of a quadrilateral using circles and a non-regular image of a boy using stamps.
Download Sketch
Affine Geometric Transformations
Students explore a number of affine geometric transformations: reflection, rotation, dilation, and translation. During explorations student's utilize their own touch and the iPad's camera.
Download Sketch
Composition of Geometric Transformations
Students use multiple reflections to perform two other affine transformations: translation and rotation.
Download Sketch
Let's Size Them Up!
In this activity, students manipulate dynamic rectangles to create comparisons with a static rectangle (e.g., "make the purple shape bigger than the brown shape"), and then have explain why their rectangle, for example, was "bigger than" the static rectangle. Students can go through four pairs of shape comparisons, with each pairing adding new tools for comparison (e.g., grid lines, side measurements).
Download Sketch
Download Student Worksheet
Download Teacher Notes
Splitting Up
In this activity, students are given an array model for a multiplication problem (e.g., 17 x 27) and asked to split the array into four smaller arrays to solve the problem. Students can then to report on the strategies they used to split the larger array, which are, essentially, partial sums.
Download Sketch
Download Student Worksheet
Download Teacher Notes
What a Drag!
In this activity, students are given four dynamic rectangles that represent partial products of a multiplication expression, 13x11, and are asked to combine them to form one shape. During the activity, students can go through four different combinations of shapes, each time they can be asked to explain their strategy and the relation between the numbers on their shapes and the "Total Sum" that is displayed on the screen
Download Sketch
Download Student Worksheet
Download Teacher Notes

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