# Activities

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### The Whole Collection

If you know you want to use several activities from this page, you may want to download the entire collection. This is recommended, as this compressed folder includes all of the Sketchpad documents as well as a PDF file of printable handouts and Teacher Notes to go along with the sketches.

### Grouping

Grouping I: The goal of this activity is twofold. First, it introduces students to Sketchpad's most important tools and menu commands. Second, it helps students appreciate how grouping objects can make them easier to count, and how the same quantity of objects can be grouped in different ways. In addition, it will help you developed a classroom vocabulary that can be used in Grouping II.

Grouping II: The idea of this activity is for students to appreciate how grouping objects can make them easier to count, and how the same quantity of objects can be grouped in different ways. Younger students might be encouraged to think about how to group objects "evenly," that is, into group sizes that are factors of the total number of objects. The idea that n groups of m is the same as m groups of n (the commutative property of multiplication) can also be explored. Older students might be encouraged to explicitly consider the remainder objects--that is, the number of objects left over after they have been divided into certain group sizes.

 Standard: Number & Operations, Algebra, Problem solving Sketch: Nick Jackiw (based on an idea by Spario Soon) Activity: Nathalie Sinclair

### Jump Along

This activity involves a number line along which students observe consecutive jumps, controlling both the number of jumps and jump size. This sketch can be used to model basic questions involving the addition and multiplication of whole numbers. Students can also build and explore factor families, creating interesting visual patterns in the process.

 Standard: Number & Operations; Algebra; Problem solving Sketch and Activity: Nathalie Sinclair

### Measuring Fish

Students use special binker rulers to measure the size of fish. They encounter fish that are not whole number units in length and experiment with the use of fractional parts in order to determine exact measurements.

 Standard: Number & Operations; Problem solving Sketch: Steven Chanan Activity: Piet Human

### Balance

This sketch contains a collection of five different shapes: a star, square, circle, triangle, and diamond. The weight of these shapes can be compared by using the provided balance scale; simply drag one or more shapes onto the balance and it will tilt in the direction of the heavier shape(s).

 Standard: Number & Operations; Algebra; Problem solving; Reasoning & Proof Sketch and Activity: Daniel Scher

### Circles and Squares

Using arithmetic reasoning and logic, players try to determine the secret values of the square and circle in as few turns as possible.

 Standard: Number & Operations; Algebra; Problem Solving; Reasoning & Proof Sketch and Activity: Daniel Scher

### Ghost Paths

Students move two ghost characters (Doug and Linda) around the screen to explore geometric concepts. Students discover connections between the ghosts' constructed paths by comparing them and looking for similarities and differences. Vocabulary introduced: line segment, line, ray, circle, radius, hexagon, and octagon.

 Standard: Geometry; Reasoning & Proof Sketch and Activity: Judy Dussiaume

### RooBooGoo

The idea of this activity is to introduce students to some of the basic transformational behaviors. The emphasis is less on properties than on relationships between objects that have been reflected, rotated, or translated.

 Standard: Geometry; Reasoning & Proof; Communication Sketch and Activity: Nathalie Sinclair

### Making a Kaleidoscope

In this activity, students create their own Sketchpad kaleidoscopes. In the process, they learn about rotation and reflection, as well as gaining some skill using Sketchpad's transformation features.

 Standard: Geometry; Reasoning & Proof; Communication Activity: Nathalie Sinclair

### Similarity

This activity introduces students to the important ideas of similarity and congruence. Students create their own re-sizeable logos, which they then use to construct similar shapes. Students can continue to use their logos as signatures for further Sketchpad work, as well as other geometry investigations.

 Standard: Geometry Sketch and Activity: Adapted from Karen Wyatt by Nathalie Sinclair

### Stretching Ruler

This set of activities introduces students to mathematical foundations of measurement, and especially to the concept of the unit of measurement. Students create their own rulers to measure different objects.

 Standard: Measurement Sketch and Activity: Adapted from Karen Wyatt by Nathalie Sinclair

### Curved Path

The mathematical ideas developed in this activity consist in the iteration of linear units to measure a curved path. The process of constructing a path of a given length can be difficult, even for middle-school-aged students, to perform with accuracy. This environment gives students opportunities to explore the iteration of units along a curved path in a realistic situation by relating the rotation of a wheel to the accumulation of distance units (similar to a trundle wheel).

 Standard: Measurement Sketch and Activity: Jeff Barrett

### Lulu

Students interact with a first-quadrant coordinate system, learning how to specify points though their co-ordinates and to describe horizontal and vertical motion on the grid.

 Standard: Coordinate Geometry Sketch and Activity: Nathalie Sinclair