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Cool Constellations

Classify angles in constellations.

By Jessica McKenna-Ratjen
From the March/April 2023 Issue

Learning Objective: Students will classify angles in constellations.

Lexile: 870L; 710L

People have made up stories about stars for thousands of years! In fact, most of the constellations get their names from ancient Greek and Roman myths. Constellations are groupings of stars that form a pattern. There are 88 total constellations. The stars that make up each constellation look close together. But most of them are trillions of miles apart. Read on to learn about a few famous constellations you can see from the Northern Hemisphere.

People have made up stories about stars for thousands of years! In fact, most of the constellations get their names from ancient Greek and Roman myths. Constellations are groupings of stars that form a pattern. There are 88 total constellations. The stars that make up each constellation look close together. But most of them are trillions of miles apart. Read on to learn about a few famous constellations you can see from the Northern Hemisphere.

Orion

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Orion



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When to see it:
Fall, winter, and spring evenings

Main stars:
Rigel: Bluish star that is the 7th brightest in the sky
Betelgeuse: Giant, reddish star that is 800 times larger than the sun

Myth:
In Egyptian mythology, Sahu, father of the gods, is represented by Orion and a nearby constellation called Lepus. The main Egyptian gods are said to descend from the three stars of Orion’s belt. Some historians believe that the pyramids of Giza were built to line up with these stars.

When to see it:
Fall, winter, and spring evenings

Main stars:
Rigel:
Blue-colored star that is the 7th brightest in the sky
Betelgeuse: Giant, red-colored star that is 800 times larger than the sun

Myth:
In Egyptian mythology, Sahu is the father of the gods. He is represented by Orion and a nearby constellation called Lepus. The main Egyptian gods are said to descend from the three stars of Orion’s belt. Some historians believe that the pyramids of Giza were built to line up with these stars.

1A. What type of angle is angle A?  

1B. Which angle in Orion is an obtuse angle? How do you know? 

1A. What type of angle is angle A?  

1B. Which angle in Orion is an obtuse angle? How do you know? 

Lyra

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Lyra



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When to see it:
Summer evenings

Main stars:
Vega: One of our closest neighbors and 5th brightest star
Epsilon Lyrae: It’s actually four stars that orbit each other. But they look like a single star from Earth!

Myth:
Some cultures see Lyra as a stringed instrument called a lyre. In Chinese mythology, the star Vega is particularly important. It represents a heavenly girl who fell in love with a human boy. When the goddess of heaven forced the girl to return to the sky, the boy followed her. But the angry goddess created the Milky Way galaxy and set it between them, so the two lovers could never meet.

When to see it:
Summer evenings

Main stars:
Vega:One of our closest neighbors and 5th brightest star
Epsilon Lyrae: It’s actually four stars that orbit each other. But they look like a single star from Earth!

Myth:
Some cultures see Lyra as a stringed instrument called a lyre. In Chinese mythology, the star Vega is very important. It represents a heavenly girl. She fell in love with a human boy. But the goddess of heaven forced the girl to return to the sky. The boy followed her. This angered the goddess. So the goddess created the Milky Way galaxy. She set it between the two lovers so they could never meet.

What kind of angle is angle D?

What kind of angle is angle D?

Taurus

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Taurus



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When to see it:
Fall, summer, and spring evenings

Main star:
Aldebaran: Reddish star that is 14th brightest in the sky

Myth:
In many cultures, Taurus represents a bull. Ancient Mesopotamians referenced the constellation in a famous story about a powerful king named Gilgamesh.

In his travels, Gilgamesh insulted the goddess Ishtar. She sent the Bull of Heaven to cause drought and earthquakes. Gilgamesh defeated the Bull and saved his people.


When to see it:
Fall, summer, and spring evenings

Main star:
Aldebaran: Red-colored star that is 14thbrightest in the sky

Myth:
In many cultures, Taurus represents a bull. Ancient Mesopotamians mentioned the constellation in a famous story about a powerful king. The king’s name was Gilgamesh. Once, he insulted a goddess named Ishtar. She sent the Bull of Heaven to cause drought and earthquakes. Gilgamesh defeated the Bull and saved his people.

Classify angle E.

Classify angle E.

Ursa Major

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Ursa Major



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When to see it:
Year-round and all night, highest in the sky during spring evenings

Main star:
Alioth: The brightest star in Ursa Major. Sailors once used it to find their way across the ocean.

Myth:
Many cultures see Ursa Major as a Great Bear. In an Iroquois myth, a party of hunters tracked a giant bear to the end of the world. But the bear leapt into the sky! The hunters followed and continue to chase him to this day. They are represented by the three leftmost stars that look like the bear’s “tail.”

The Big Dipper
This is an asterism, a famous pattern of stars that is part of a constellation.

When to see it:
Year-round and all night, highest in the sky during spring evenings

Main star:
Alioth:
The brightest star in Ursa Major. Sailors once used it to find their way across the ocean.

Myth:
Many cultures see Ursa Major as a Great Bear. In an Iroquois myth, three hunters once tracked a giant bear. They followed the animal to the end of the world. But then the bear leaped into the sky! The hunters followed. It is said that they continue to chase the bear to this day. The hunters are represented by the three leftmost stars in Ursa Major. To some people, these three stars look like the bear’s “tail.”

The Big Dipper
This is an asterism. It is a famous pattern of stars that is part of a constellation.

4A. These supplementary angles in Ursa Major add up to 180°. What is the measurement of angle F?

4B. What kind of angle is it?

4A. These supplementary angles in Ursa Major add up to 180°. What is the measurement of angle F?

4B. What kind of angle is it?

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Ursa Minor

Step-by-Step Lesson Plan

1.  SPARK ENGAGEMENT.

Before or after reading the article, spark a discussion based on the following questions.

  • Why do some people like to look up at the stars at night? 
  • Name any stars you know. 
  • What sorts of numbers might people who study stars be interested in?

2. INTRODUCE THE MATH CONCEPT AND VOCABULARY

  • Draw or display a rectangle, a circle, and a trapezoid. What makes the circle different from the rectangle and trapezoid? (It has only curved lines and no straight lines or angles.) 
  • The trapezoid and rectangle have interior angles. These are formed by two sides that share a common point. 
  • Point to an obtuse angle in the trapezoid. What is different about this angle than the angles in the rectangle? (Answers may vary. Possible answer: It is wider.) 
  • We can classify angles based on their measurements. If we used a protractor, we would see that this angle is greater than the angles in the rectangle. 
  • Play the math video “Lines and Angles.”

3. WORK THROUGH THE “WHAT TO DO” BOX.

  • Of the four angles pictured, which has the greatest measure? (the straight angle) 
  • What is the largest whole degree that an angle could measure and still be an acute angle? (89°) 
  • What is the smallest whole degree that an angle could measure and still be obtuse? (91°) The largest? (179°) 
  • How do we know the angle on the protractor measures 145° and not 35°? (The ray at the bottom of the protractor points to 0. We start from that 0 and count up to the degree that the second ray of the angle touches, 145°.) 
  • Can curved lines make angles? (No, angles form only where straight lines or rays meet.)

4. REINFORCE WITH MATH PRACTICE.

Have students complete questions 1 through 4.

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