Learning Center > Teaching with Sketchpad > Sample Activities > Middle Grades

## Welcome Videos

• - plays a video
• - opens a web page

## Right or Left: Adding and Subtracting Integers

Students add and subtract integers using animations on a number line and understand that subtracting an integer is the same as adding its opposite.

## Making Means: Data Distribution and Averages

Students drag data points on a number line and observe how the mean of their values changes. Students can add, remove, and drag the data points to different locations to create examples of data sets with a given mean.

## Mean Meets the Median: Measures of Central Tendency

Students drag a fixed number of data points to different locations on a number line and observe the effects on the median and the mean. Students can explore the difference in the median that occurs between having an even and odd number of data points. The emphasis of the activity is not so much on calculating the values of the mean or median given a data set, but on understanding how the mean and median behave depending both on how the data is distributed and on the number of data points.

## Making a Kaleidoscope: Exploring Rotations

Students create virtual kaleidoscopes by rotating quadrilaterals and then animating them. Students learn that rotated figures keep their size and shape; only their orientation changes. Students make a variety of kaleidoscopes, each with a different number of quadrilaterals and amount of rotation.

## Mellow Yellow: Interpreting Graphs

Students interpret linear piecewise time-distance graphs that represent different stories about a character, Mellow Yellow. They decide whether a given graph corresponds to the motions (walking fast, walking slow, stopping, going backward) described in the story. Students then create stories based on given graphs and create graphs based on given stories.

## Hikers: Solving Through Multiple Representations

Students use tables, graphs, and equations to represent and solve a real-world problem about two hikers walking at different speeds in opposite directions along the same trail.

## Balancing with Balloons: Solving Equations with Negatives

Students use a Sketchpad pan balance model to solve a sequence of equations with positive numbers and variables, represented by weights, and negative numbers and variables, represented by balloons. As the problems increase in difficulty, students transfer the manipulation of the pan balance to solving equations independent of the balance.