# Texas Mathematics Teacher Spring/Summer 2018 - 21

```On the Cover: Find Mathematics in Butterflies
Butterfly Art

No garden truly blooms until butterflies have danced upon it. - K. D'Angelo
Spring is here! Our students, like a garden, can blossom when butterflies are included in math instruction. Young and old
are mesmerized by their beauty and grace. These creatures lend themselves well to many geometry and measurement topics as well as science. Here are some ways to incorporate butterflies into your lessons this spring.
Draw a butterfly that has wings decorated with:
- 2-dimensional figures
- Polygons
- Parallelograms
- Figures with parallel lines
- Figures with perpendicular lines
- Figures with right angles, acute angles, and/or obtuse angles.
(Students could use a protractor and label the angle measurements of their shapes.)

Another option would be to have students draw examples on one wing and non-examples on the other.
o Example:

On one wing draw examples of polygons. On the other wing draw examples of figures that are not
polygons.
- How many of each figure did you use to decorate your butterfly?
- What fraction of the total figures does each 2-dimensional shape represent?
- Can these fractions be simplified? If so, simplify them.
- Compare the fractions of two shapes.
o Examples:

Compare the fraction of rectangles to the fraction of trapezoids.

Compare the fractions of figures with right angles to figures with only acute angles.
- What fraction of the figures are ________________ and ______________?
o Examples:

What fraction of the figures are squares and triangles?

What fraction of the figures are quadrilaterals and octagons?

Stage of Monarch Butterfly Life Cycle

Size

Egg

1.2 mm long x 0.9 mm wide

Larvae when first born

4.5 mm long x 1 mm wide

Larvae before forming a chrysalis

35 mm long x 6.5 mm wide

Chrysalis

25.4 mm long

Butterfly wingspan

96.5 mm

The students at your school are studying about the life cycle of Monarch Butterflies. The table shows the estimated sizes of
a Monarch Butterfly during each stage of its life cycle. You decide to create a model of each stage. If your models' scale is 1
inch represents 5 mm, what will be the dimensions for each model you create? Create your models based on your results.

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Spring/Summer 2018 | 21

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