In the next activities, students use geometry vocabulary and explore math concepts including: measurement, area and perimeter, fractions and patterns!

## 1. Spiral Triangles

Create a spiral design using equilateral triangles! To create the design, start out with a large triangle. Then, eliminate a triangle thats side is identical length of the large triangle’s height. Paste the side of the triangle across the the middle of the larger triangle, therefore it covers half of the big triangle. Keep on creating smaller triangles with sides that match the prior triangle’s height to produce a spiral!

## 2. Square Stack

This art activity originates from Lucky To Be In First. Students measure, cut, and paste squares in descending order. Each square is 1/2 an inch smaller than the preceding square.

Note: You might have children figure out the region and perimeter of each square on a separate sheet of paper.

Example

1. area = 25, perimeter = 20

2. area = 20.25, perimeter = 18

3. area = 16, perimeter = 16

4. area = 12.25, perimeter = 14

5. area = 9, perimeter = 12

6. area = 6.25, perimeter = 10

7. area = 4, perimeter = 8

8. area = 2.25, perimeter = 6

9. area = 1, perimeter = 4

## 3. Line Drawing: Polygon Investigator

Integrate math and art by developing a line drawing. Kids use a ruler and draw random lines in writing. Then, they become polygon investigators! They examine their artwork and color in polygons which have the same number of sides.

## 4. Polygon Patterns

Explore vertices and diagonals while seeking patterns in polygons! Have kids predict the amount of diagonals a triangle, square, pentagon, hexagon, heptagon, and octagon have. Split kids up into teams. Then, have them problem solve by drawing diagonals on shape outlines. Make certain kids use different colored markers for every diagonal (so they can count them). Also, have a teammate tally each diagonal drawn. Would they find a pattern?! The number of diagonals does a hexadecagon have?!

## 5. Square Explosion

Give kids scissors along with a paper square and see the things they can create!

## 6. Frac-Geo-Bot

Frac-Geo-Bot is a fun math activity for kids to obtain creative. They design a robotic out of various polygons. Then, they figure out the fraction for every shape and color. Teenagers can design more complicated bots, such as the one above. Youngsters can make simpler bots, using basic shapes.

## 7. Pass the Paper: Collaboration

This math art collaboration project comes from Incredible Art! Kids show their knowledge of geometry terms by creating art! Each child is offered certificates. They are given an instruction (for example make 3 dots). Then, they pass their sheet of paper. Another instruction is given (ex: make use of a compass to produce 3 circles from the 3 major dots). Students use their peers’ paper. Then, they pass the paper. Papers get passed around until they reach their “owner.” The owner embellishes the road drawing to produce a unique artwork!

## 8. Shape Trading Cards

Kids draw the form and fill out the rear of the cards. printable.

Note: Don’t cut across the center line. The credit card folds in half, so there is a front and back.

## 9. Asymmetrical Starburst

Students explore geometry and art by creating asymmetrical starburst designs!

1. Draw a line segment Three to five inches long in the center of the paper.

2. Make dots around the line segment. (No dots around the horizontal line)

10 dots (5 above, 5 below for younger students / 15-20 dots for older students)

3. Connect the dots! – but, in a pattern. (Connect one end from the line segment to some dot, to another end of the line segment) – repeat (end of line segment-dot-other end of line segment) – use a ruler

Note: To simplify this project have children make their horizontal line another color or add bright colored dots towards the end of the line segment. Then, they'll be capable of seeing where they draw their lines to.

Math Connection: Visit I really like That Teaching Idea for questions you should ask children while they are constructing!

10. Mathematical Op Art

Students use their math skills to produce op art! First, have students come up with a measurement for his or her line spacing between their parallel lines. The example has a 1/2 inch gap in between each line. After students draw their parallel lines with a ruler, they choose five polygons to incorporate in their composition. They draw their shapes utilizing a ruler. Once their shapes are drawn, they create an AB pattern using two different colored markers, coloring around their shapes. Then, they're going back and color their shapes to create an optical illusion! (see example).