Illuminations: Ladybug Adventures

Ladybug Adventures


Making Rectangles

In this activity, students use their knowledge of number, measurement and geometry to plan the steps necessary for a ladybug to draw rectangles of different sizes. As they experiment, students begin to understand the relationship between the shape of a rectangle and the lengths of its sides. They also develop a sense of the amount of turn in a right angle.

Learning Objectives

 
Students will:
  • draw rectangles of different sizes
  • understand the relationship between the shape of a rectangle and the lengths of its sides
  • describe attributes and parts of the different kinds of rectangles they created

Materials

 

Instructional Plan

Initiating the Excursion

If this is the first time your students have used this E-example, you should provide a brief overview of the four directional buttons used to navigate the ladybug at the interactive applet. It is important for students to understand how clicking each of the buttons affects the direction of the ladybug. Remember to include movements for left, right, forward and backward. (See directional figures below).


move backward


move forward


45 degree


90 degree

To introduce the activity, place students in teams and have them use the Getting Around Applet.

Getting Around Applet Getting Around Applet

(Make sure students are not using the Hiding Ladybug Applet, which was used in the previous two lessons.)

Working together, partners share the responsibilities of "Mouse Driver" and "Reader/Recorder." The "Reader/Recorder" will read the directions from the activity sheet and record observations while guiding the activity. The "Mouse Driver" controls the action of the mouse and movement on the computer screen; partners should switch roles until all have moved the ladybug.

Ask students to create rectangles using only one 45-degree angle at a time, between the arrows. After a few minutes, discuss why it is not possible to make a rectangle using only 45-degree angles. Ask students if they can find any examples of where a 45-degree angle was used in the classroom environment. Students share their answers with the class.

 

Developing the Excursion

After the students have identified 45-degree angles in the classroom, students should return to the interactive applet and create as many different rectangles as possible using any of the buttons. They can create rectangles that are long and thin, those that are short and almost square, and those that are the largest.

As students experiment, they will begin to understand the relationship between the lengths of the sides and the resulting shape of the rectangle.

 

Closing

Include questions or tasks that encourage students to reflect on their work. For example, you could have students consider questions similar to the Questions for Students, as shown below.

After students finish investigating the applet, distribute the My Rectangles and Angles Activity Sheet to each team.

Ask students to draw pictures of the different types of rectangles they created on the top half of the sheet. Then they should draw illustrations of the specific angles they used to make their rectangles on the bottom half of the sheet. Finally, the partners should discuss what they learned from this activity.

Questions for Students

 

What did you learn in the initiating activity that helped you create rectangles?

How are the rectangles and the shapes you created in the prior activity different and/or alike?

How many different rectangles did you make?

Did you make a long, thin one?

What did you learn about the relationship between the 45- and 90-degree angles?

Did you find a shape that could have more than one name?

How would you describe a rectangle?

Extensions

 
  1. Students ready for a challenge might try the extension for this activity. They should visit the extension activity on the Learning Geometry and Measurement Concepts by Creating Paths and Navigating Mazes Applet. Students may begin by making rectangles of many different shapes and sizes and then turn a series of commands into a procedure. They can discuss their work with others, sharing ideas and challenging each other to create new designs.

NCTM Standards and Expectations

 
Geometry Pre-K-2
  1. Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes .
This lesson prepared by Carol Midgett.
  
1 period   

NCTM Resources

Principles and Standards for School Mathematics

Web Sites


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