Enrich Any Mathematics Subject
Whatever grade level or subject you teach, Sketchpad can help your students explore core mathematics topics.
For sample activites and videos, open the Learning Center in your Sketchpad software.
Elementary school students
can investigate reflection as they drag a point and watch the behavior
of its reflection; build a foundation for classifying shapes as they
manipulate triangles and quadrilaterals and use concepts such as side,
angle, and length to describe the results; use tables, graphs, and Sketchpad’s calculator to devise and test area and perimeter formulas.
students can test figures for symmetry by constructing reflections and
rotations, investigate the properties of various shapes, and identify
and measure angles to determine which are congruent to each other.
students can plot a parabola in vertex form, use sliders to manipulate
the parameters, and discover relationships between the parameter values
and the shape and position of the graph.
students can construct and manipulate chords in a circle, visually
demonstrate the Pythagorean theorem based on Euclid's proof, and
manipulate the number of sides in a regular polygon to develop a
formula relating the area and perimeter of the polygon.
Advanced algebra and precalculus
students can investigate graphs of functions in rectangular and polar
coordinates, manipulate wave superposition, phase, and period to
analyze sums of sinusoidal waves, and perform elementary coordinate
transformations using vectors.
students can visualize and comprehend the effect of varying the
subinterval width on Riemann sums in approximating the area under a
curve, create solids of rotation with multiple functions and solve for
the appropriate surface area, and develop a conceptual understanding of
derivatives by manipulating parameters and properties of functions.