## Helping Ladybug Hide with Arrows and Angles

In this lesson, students use an applet (technology tool) to hide a ladybug under a leaf. This requires experimentation, planning, and understanding of spatial relationships and visual memory.

Begin the class by projecting the Hiding Ladybug Applet.

Show students how to show the leaf by clicking on the “Show Leaf” button. Then demonstrate how to move the ladybug in a line or to make a turn. Students should use the Arrows for Moving Ladybug Activity Sheet as a reference for the directions given during your demonstration.

Note that the arrows indicate the direction in which the ladybug moves.] It is most important for students to observe the angle at which the ladybug moves (45 or 90 degrees and their directions, left and right). Review the navigation tools on the interactive applet and invite students to describe what they do.

Allow several students to use the mouse to demonstrate the steps in moving the ladybug with the arrows and angles. This is an excellent opportunity to introduce directional vocabulary, such as move forward, move backward, turn right, and turn left. The unique characteristics of your students will determine when it is appropriate to identify the “small” right turn, “large” right turn, “small” left turn, and “large” left turn as 45-degree and 90-degree right and left turns. Students can use the Making Turns Activity Sheet to identify these turns.

Have students practice hiding the ladybug. If you do not have enough computers for each student, they may work in pairs or take turns. Use the guiding questions provided [or others that are appropriate in your context] to focus students’ attention on the mathematical ideas central to this lesson. As students work with the applet, check for a match between the length of the arrows and the distance that the ladybug moves with each arrow.

Remember to document the understandings students demonstrate as they move the ladybug about the screen.

**Assessment Option**

You may choose to use the Class Notes recording sheet to document student progress in this unit.

**Extension**

Move on to the next lesson,

Handy Map.

**Questions for Students**

- Clear your screen. How can you hide the ladybug under the leaf?
- Describe what you did. Why you did you do that?
- What was the most difficult part of this activity? What was the easiest part of this activity? Why?
- What did you have to think about as you planned the trip the ladybug would take in order to hide?
- How could you describe the nonstandard units used in the applet?
- How is this activity like the one we did with the paper ladybugs? How is it different?

**Teacher Reflection**

- Which students readily associated the direction in which the ladybug needed to move with the visual reference of the arrow buttons (left, right, or both left and right)? Which did not?
- What additional learning experiences do these students need?
- Which students readily associated the turns that the ladybug needed to make with the visual reference of the arrows? Which did not?
- What additional learning experiences do these students need?
- Which students readily associated the “size” of the turn with the degree of change in direction? Which did not? What additional learning experiences do these students need?
- What experiences would have better prepared students to be successful with this lesson?

### Measuring with Teacher’s Feet

### Measuring with Our Foot

### Learning to Measure with Ladybug

### Handy Map

### Facing Up

### Learning Objectives

Students will:

- Recognize and use the attributes of length by measuring with nonstandard units.
- Learn how iteration of a nonstandard unit enables the ladybug to move to a “safe” location under the leaf.
- Demonstrate an understanding that left or right turns are required to hide the ladybug.
- Demonstrate an understanding that forward and backward moves accomplish different purposes.

### NCTM Standards and Expectations

- Describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance.

- Relate ideas in geometry to ideas in number and measurement.

- Recognize the attributes of length, volume, weight, area, and time.

- Understand how to measure using nonstandard and standard units.

### Common Core State Standards – Mathematics

-Kindergarten, Geometry

- CCSS.Math.Content.K.G.A.1

Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.