ba 6 grade unit 7 radial geometry mandalas ppt

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Page 1: Ba 6 grade unit 7 radial geometry mandalas ppt
Page 2: Ba 6 grade unit 7 radial geometry mandalas ppt

Mandalas• Saskrit term that

mean “circle”• Can be art, a

calendar, part of a religion, part of a meditation. . .Or even something else

• Buddhists make the most famous mandalas

• Almost all cultures make mandalas

Page 3: Ba 6 grade unit 7 radial geometry mandalas ppt

The Big IdeaBuddhism began in India and became a major religion.

Buddhist make sacred circles, called mandalas, as part of their religious practice.

Main Ideas• Siddhartha Gautama searched for wisdom in many ways.• The teachings of Buddhism deal with finding peace.• Buddhism spread far from where it began in India.• Mandalas are a type of meditation• Mandalas are geometric• Mandalas are still made by Buddhist monks today

Adapted slide from http://goo.gl/MFGyw4

Page 4: Ba 6 grade unit 7 radial geometry mandalas ppt

Quest for Answers

• Siddhartha was born a prince, but he questioned the meaning of life.

• Determined to find answers using:• Meditation• Fasting• Learning from

different teachers

Enlightenment

• Found it under the Tree of Wisdom while meditating

• Called the Buddha (Enlightened One)

• Spent the rest of his life traveling and teaching his ideas

Siddhartha

slide from http://goo.gl/MFGyw4

Page 5: Ba 6 grade unit 7 radial geometry mandalas ppt

slide from http://goo.gl/MFGyw4

Page 6: Ba 6 grade unit 7 radial geometry mandalas ppt

1. Suffering and unhappiness are a part of human life. No one can escape sorrow.

Teachings of BuddhismFour Noble Truths

2. Suffering comes from our desires for pleasure and material goods.

3. People can overcome desire and ignorance and reach nirvana, a state of perfect peace.

4.People can overcome ignorance and desire by following an eightfold path that leads to wisdom, enlightenment, and salvation.

slide from http://goo.gl/MFGyw4

Page 7: Ba 6 grade unit 7 radial geometry mandalas ppt

The Eightfold Path

slide from http://goo.gl/MFGyw4

Page 8: Ba 6 grade unit 7 radial geometry mandalas ppt

Ancient Ways

• The Buddha taught that following the Vedic texts was unnecessary.

• Challenged the authority of Hindu priests

Changing Society

• A more individualistic approach to enlightenment

• Rebirth as a means to evolve

Challenging Hindu IdeasCaste System

• Opposed caste system

• The Eightfold Path could lead any individual to nirvana.

• The Buddha’s teachings reached all classes.

slide from http://goo.gl/MFGyw4

Page 9: Ba 6 grade unit 7 radial geometry mandalas ppt

Buddhism branches out

Buddhism splits

• Asoka, one of the most powerful kings in India, became a Buddhist and spread Buddhism in India and foreign lands.• Buddhist missionaries traveled the world to teach enlightenment.

• Buddhism split into two main sects: Theravada and Mahayana.• Members of the Theravada followed the Buddha’s teachings exactly.• Members of the Mahayana believed that individual interpretation was important.

Buddhism began in India and then became a major religion.

slide from http://goo.gl/MFGyw4

Page 10: Ba 6 grade unit 7 radial geometry mandalas ppt

Early Spread of Buddhism

slide from http://goo.gl/MFGyw4

Page 11: Ba 6 grade unit 7 radial geometry mandalas ppt

Buddhism in the World Today

Sri Lanka, Myanmar, Vietnam, Cambodia, Thailand, Japan, South Korea, and parts of China have the largest population of Buddhists

Page 12: Ba 6 grade unit 7 radial geometry mandalas ppt

The head of Buddhism is called the “Dali Lama.”

Buddhist believe the Dali Lama is the reincarnation of Buddha.

The current Dali Lama is the 14th incarnation of Buddha.

Page 13: Ba 6 grade unit 7 radial geometry mandalas ppt

Where do Buddhist worship?

“Buddhist worship at home or at a temple. Worshippers may sit on the floor barefoot facing an image of Buddha and chanting. It is very important that their feet face away from the image of Buddha. They listen to monks chanting from religious texts and take part in prayers.”-Buddhism for Children

Page 14: Ba 6 grade unit 7 radial geometry mandalas ppt

What do Buddhist look like?

Anyone can follow the teachings of Buddhism. Buddhist look like you and me.

Page 15: Ba 6 grade unit 7 radial geometry mandalas ppt

What do Buddhist Monks look like?

Buddhist monks are male. Buddhist nuns are female. These are people who consider themselves students and dedicate their lives to studying and living like Buddha. They usually wear orange and have shaved heads.

Page 16: Ba 6 grade unit 7 radial geometry mandalas ppt

Buddhism is a part of our culture

1:35 video: https://youtu.be/Nq8loZlpa_8

Page 17: Ba 6 grade unit 7 radial geometry mandalas ppt

Buddhist monks and nuns make Mandalas, also known as “sacred circles”

Page 18: Ba 6 grade unit 7 radial geometry mandalas ppt

Mandalas are a part of meditation.

-Made using geometry & sand

-Many people collaborate

-Takes days to weeks to make

-Monks and nuns meditate and pray as they create

-Meant to represent the word in perfect form

-When finished, it is destroyed and every grain is swept up.

-The grains of sand are thrown into a river to be swept into the ocean to bless the world

Page 19: Ba 6 grade unit 7 radial geometry mandalas ppt

Buddhist Monks Making a Mandalahttps://youtu.be/imj64Kmw7iM

Page 20: Ba 6 grade unit 7 radial geometry mandalas ppt

Mandalas use radial symmetry

Radial Symmetry – the arrangement of parts in an object that all come from a central point.

Page 21: Ba 6 grade unit 7 radial geometry mandalas ppt

Mandalas in Ancient Greece

Phaistos Disc – believed to be a calendar

Inside of bowl

Page 22: Ba 6 grade unit 7 radial geometry mandalas ppt

Mandalas in Ancient Rome

Roman calendar

Page 23: Ba 6 grade unit 7 radial geometry mandalas ppt

Mandalas in Ancient Egypt

Egyptian calendar

Page 24: Ba 6 grade unit 7 radial geometry mandalas ppt

Mandalas of the Inca

Moray (Incan ruin)

Gold disc believed to represent an Incan god

Page 25: Ba 6 grade unit 7 radial geometry mandalas ppt

You are going to make a Mandala inspired by the works of Buddhism and other world cultures!

Page 26: Ba 6 grade unit 7 radial geometry mandalas ppt

Draw a circle on a 12”x12” paper

Page 27: Ba 6 grade unit 7 radial geometry mandalas ppt

Use a ruler and draw 1 vertical and 1 horizontal diameter line to make a “plus sign”

Page 28: Ba 6 grade unit 7 radial geometry mandalas ppt

Rotate your paper to turn your “plus” sign into an “X”

Page 29: Ba 6 grade unit 7 radial geometry mandalas ppt

Use a ruler and draw 1 vertical and 1 horizontal diameter line to make another “plus sign”

Page 30: Ba 6 grade unit 7 radial geometry mandalas ppt

Draw a smaller circle with the same focus or center as the large circle

Page 31: Ba 6 grade unit 7 radial geometry mandalas ppt

Make a mark outside the diameter lines that make an “X”

Page 32: Ba 6 grade unit 7 radial geometry mandalas ppt

Use the marked diameter points as vertices for a square

Page 33: Ba 6 grade unit 7 radial geometry mandalas ppt

Mark the other four diameter lines

Page 34: Ba 6 grade unit 7 radial geometry mandalas ppt

Use these diameter points as vertices for a second square

Page 35: Ba 6 grade unit 7 radial geometry mandalas ppt

Mark each point that touches the perimeter of the smaller circle with a dot (make your dots smaller than mine!)

Page 36: Ba 6 grade unit 7 radial geometry mandalas ppt

Mark every other line that hits the perimeter of the squares (I marked mine in blue)

Page 37: Ba 6 grade unit 7 radial geometry mandalas ppt

Use a ruler, and draw a line connecting a dot on the square to a dot on the circle

Page 38: Ba 6 grade unit 7 radial geometry mandalas ppt

Add your own design elements. Trace with sharpie. Erase pencil lines. Color with markers.

Page 39: Ba 6 grade unit 7 radial geometry mandalas ppt

Add your own design elements. Trace with sharpie. Erase pencil lines. Color with markers.

Page 40: Ba 6 grade unit 7 radial geometry mandalas ppt

Add your own design elements. Trace with sharpie. Erase pencil lines. Color with markers.

Page 41: Ba 6 grade unit 7 radial geometry mandalas ppt

Add your own design elements. Trace with sharpie. Erase pencil lines. Color with markers.

Page 42: Ba 6 grade unit 7 radial geometry mandalas ppt

Add your own design elements. Trace with sharpie. Erase pencil lines. Color with markers.

Page 43: Ba 6 grade unit 7 radial geometry mandalas ppt

Add your own design elements. Trace with sharpie. Erase pencil lines. Color with markers.

Page 44: Ba 6 grade unit 7 radial geometry mandalas ppt

Add your own design elements. Trace with sharpie. Erase pencil lines. Color with markers.

Page 45: Ba 6 grade unit 7 radial geometry mandalas ppt

Add your own design elements. Trace with sharpie. Erase pencil lines. Color with markers.

Page 46: Ba 6 grade unit 7 radial geometry mandalas ppt

Add your own design elements. Trace with sharpie. Erase pencil lines. Color with markers.

Page 47: Ba 6 grade unit 7 radial geometry mandalas ppt

Create a Mandala inspired by the work of Buddhist Monks & other world cultures

1. Add details and more geometry to your mandala to make it your own

2. Trace your design with sharpie

3. Erase your extra pencil lines

4. Color neatly with marker

5. Cut out your final mandala

Page 48: Ba 6 grade unit 7 radial geometry mandalas ppt

Review and Reflect on Your Work

How could your knowledge of mandalas help you when you learn about ancient cultures and/or math?

Are there any mathematical patterns you noticed while creating your mandala?