eureka math grade 4 lesson 15 homework answer key

Eureka Math Grade 4 Module 4 Lesson 15 Answer Key

Engage ny eureka math 4th grade module 4 lesson 15 answer key, eureka math grade 4 module 4 lesson 15 problem set answer key.

Construct the figures with the given attributes. Name the shape you created. Be as specific as possible. Use extra blank paper as needed.

Question 1. Construct quadrilaterals with at least one set of parallel sides. Answer:

Question 2. Construct a quadrilateral with two sets of parallel sides. Answer:

Question 3. Construct a parallelogram with four right angles. Answer:

Question 4. Construct a rectangle with all sides the same length. Answer:

Question 6. Explain the attribute that makes a square a special rectangle. Answer:

Question 7. Explain the attribute that makes a rectangle a special parallelogram. Answer:

Question 8. Explain the attribute that makes a parallelogram a special trapezoid. Answer:

Eureka Math Grade 4 Module 4 Lesson 15 Exit Ticket Answer Key

Question 1. In the space below, draw a parallelogram. Answer:

Question 2. Explain why a rectangle is a special parallelogram. Answer:

Eureka Math Grade 4 Module 4 Lesson 15 Homework Answer Key

Question 2. Explain the attribute that makes a square a special rectangle. Answer:

Question 3. Explain the attribute that makes a rectangle a special parallelogram. Answer:

Question 4. Explain the attribute that makes a parallelogram a special trapezoid. Answer:

Question 5. Construct the following figures based on the given attributes. Give a name to each figure you construct. Be as specific as possible.

a. A quadrilateral with four sides the same length and four right angles. Answer:

b. A quadrilateral with two sets of parallel sides. Answer:

c. A quadrilateral with only one set of parallel sides. Answer:

d. A parallelogram with four right angles. Answer:

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Things to Do in Novosibirsk, Russia - Novosibirsk Attractions

Things to Do in Novosibirsk

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37 Facts About Novosibirsk

Written by Adelice Lindemann

Modified & Updated: 25 Jun 2024

Reviewed by Sherman Smith

Novosibirsk, often referred to as the “Capital of Siberia,” is a vibrant and dynamic city located in southwestern Russia. With a population exceeding 1.5 million residents, it is the third most populous city in Russia and serves as the administrative center of the Novosibirsk Oblast.

Nestled along the banks of the Ob River, Novosibirsk is renowned for its rich cultural heritage, scientific advancements, and picturesque landscapes. As the largest city in Siberia, it offers a perfect blend of modern and traditional attractions, making it a fascinating destination for both locals and tourists.

In this article, we will delve into 37 interesting facts about Novosibirsk, shedding light on its history, architecture, natural wonders, and cultural significance. Whether you are planning a visit or simply curious about this intriguing city, these facts will give you a deeper understanding of what Novosibirsk has to offer.

Key Takeaways:

• Novosibirsk, the “Capital of Siberia,” is a vibrant city with a rich cultural scene, stunning natural landscapes, and a strong sense of community, offering a high quality of life for its residents.
• From being a major industrial and transportation hub to hosting world-class cultural institutions and scientific research centers, Novosibirsk is a dynamic city with a diverse culinary scene and a thriving IT and tech industry.

Novosibirsk is the third-largest city in Russia.

Situated in southwestern Siberia, Novosibirsk has a population of over 1.6 million people, making it one of the largest and most vibrant cities in the country.

The city was founded in 1893.

Novosibirsk was established as a railway junction on the Trans-Siberian Railway, playing a significant role in the development of Siberia.

It is known as the “Capital of Siberia”.

Due to its economic and cultural significance, Novosibirsk is often referred to as the capital of Siberia.

Novosibirsk is a major industrial center.

The city is home to a wide range of industries, including machinery manufacturing, chemical production, energy, and metallurgy .

It is famous for its scientific and research institutions.

Novosibirsk hosts several renowned scientific and research institutions, contributing to advancements in various fields including nuclear physics, chemistry, and biotechnology.

The Novosibirsk Opera and Ballet Theatre is one of the largest in Russia.

This iconic cultural institution showcases world-class ballet and opera performances and is a must-visit for art enthusiasts visiting the city .

The city has a vibrant theater scene.

Novosibirsk boasts numerous theaters, showcasing a wide variety of performances from traditional plays to experimental productions.

Novosibirsk is a major transportation hub.

Thanks to its strategic location on the Trans-Siberian Railway, the city serves as a crucial transportation hub connecting Siberia with other regions of Russia .

The Ob River flows through Novosibirsk.

The majestic Ob River adds to the city’s natural beauty and provides opportunities for recreational activities such as boating and fishing.

Novosibirsk is known for its harsh winter climate.

With temperatures dropping well below freezing in winter, the city experiences a true Siberian winter with snowy landscapes.

The Novosibirsk Zoo is one of the largest and oldest in Russia.

Home to a wide variety of animal species, including rare and endangered ones, the Novosibirsk Zoo attracts visitors from near and far.

Novosibirsk is a center for academic excellence.

The city is home to Novosibirsk State University, one of the top universities in Russia, renowned for its research and education programs.

The Novosibirsk Metro is the newest metro system in Russia.

Opened in 1985, the Novosibirsk Metro provides efficient transportation for residents and visitors alike.

Novosibirsk is surrounded by picturesque nature.

Surrounded by stunning landscapes, including the Altai Mountains and the Novosibirsk Reservoir, the city offers numerous opportunities for outdoor activities.

The Novosibirsk State Circus is famous for its performances.

Showcasing talented acrobats , clowns, and animal acts, the Novosibirsk State Circus offers entertaining shows for all ages.

Novosibirsk is home to a thriving art scene.

The city is dotted with art galleries, showcasing the works of local and international artists .

Novosibirsk has a diverse culinary scene.

From traditional Russian cuisine to international flavors, the city offers a wide range of dining options to satisfy all taste buds.

The Novosibirsk State Museum of Local History is a treasure trove of historical artifacts.

Exploring the museum gives visitors an insight into the rich history and culture of the region.

Novosibirsk is known for its vibrant nightlife.

The city is home to numerous bars, clubs, and entertainment venues, ensuring a lively atmosphere after dark.

Novosibirsk has a strong ice hockey tradition.

Ice hockey is a popular sport in the city, with local teams competing in national and international tournaments.

The Novosibirsk State Philharmonic Hall hosts world-class musical performances.

Music lovers can enjoy classical concerts and symphony orchestra performances in this renowned venue.

Novosibirsk is home to the Akademgorodok, a scientific research town.

Akademgorodok is a unique scientific community located near Novosibirsk, housing numerous research institutes and academic organizations.

Novosibirsk has a unique blend of architectural styles.

The city features a mix of Soviet-era buildings, modern skyscrapers, and historic structures, creating an eclectic cityscape.

Novosibirsk is an important center for ballet training and education.

The city’s ballet schools and academies attract aspiring dancers from across Russia and abroad.

Novosibirsk is a gateway to the stunning Altai Mountains.

Located nearby, the Altai Mountains offer breathtaking landscapes, hiking trails, and opportunities for outdoor adventures.

Novosibirsk hosts various cultural festivals throughout the year.

From music and theater festivals to art exhibitions, the city’s cultural calendar is always packed with exciting events.

Novosibirsk is a green city with numerous parks and gardens.

Residents and visitors can enjoy the beauty of nature in the city’s well-maintained parks and botanical gardens.

Novosibirsk is a center for technology and innovation.

The city is home to several technology parks and innovation centers, fostering the development of cutting-edge technologies.

Novosibirsk has a strong sense of community.

The residents of Novosibirsk are known for their hospitality and friendly nature, making visitors feel welcome.

Novosibirsk is a paradise for shopping enthusiasts.

The city is dotted with shopping malls, boutiques, and markets, offering a wide range of shopping options.

Novosibirsk has a rich literary heritage.

The city has been home to many famous Russian writers and poets, and their works are celebrated in literary circles.

Novosibirsk is a popular destination for medical tourism.

The city is known for its advanced medical facilities and expertise, attracting patients from around the world.

Novosibirsk has a well-developed public transportation system.

With buses, trams, trolleybuses, and the metro, getting around the city is convenient and efficient.

Novosibirsk is a city of sport.

The city has a strong sports culture, with numerous sports facilities and opportunities for athletic activities .

Novosibirsk has a thriving IT and tech industry.

The city is home to numerous IT companies and startups, contributing to the development of the digital economy.

Novosibirsk celebrates its anniversary every year on July 12th.

The city comes alive with festivities, including concerts, fireworks, and cultural events, to commemorate its foundation.

Novosibirsk offers a high quality of life.

With its excellent educational and healthcare systems, cultural amenities, and vibrant community, Novosibirsk provides a great living environment for its residents.

Novosibirsk is a fascinating city filled with rich history, stunning architecture, and a vibrant cultural scene. From its origins as a small village to becoming the third-largest city in Russia, Novosibirsk has emerged as a major economic and cultural hub in Siberia . With its world-class universities, theaters, museums, and natural attractions, Novosibirsk offers a myriad of experiences for visitors.

Whether you’re exploring the impressive Novosibirsk Opera and Ballet Theater, strolling along the picturesque banks of the Ob River, or immersing yourself in the city’s scientific and technological achievements at the Akademgorodok, Novosibirsk has something for everyone.

From its iconic landmarks such as the Alexander Nevsky Cathedral to its vibrant festivals like the International Jazz Festival , Novosibirsk has a unique charm that will captivate any traveler. So, make sure to include Novosibirsk in your travel itinerary and discover the hidden gems of this remarkable city.

Q: What is the population of Novosibirsk?

A: As of 2021, the estimated population of Novosibirsk is around 1.6 million people.

Q: Is Novosibirsk a safe city to visit?

A: Novosibirsk is generally considered a safe city for tourists. However, it is always recommended to take standard precautions such as avoiding unfamiliar areas at night and keeping your belongings secure.

Q: What is the best time to visit Novosibirsk?

A: The best time to visit Novosibirsk is during the summer months of June to September when the weather is pleasant and suitable for outdoor activities. However, if you enjoy the winter chill and snow, visiting during the winter season can also be a unique experience.

Q: Are there any interesting cultural events in Novosibirsk?

A: Yes, Novosibirsk is known for its vibrant cultural scene. The city hosts various festivals throughout the year, including the International Jazz Festival, Novosibirsk International Film Festival, and the Siberian Ice March Festival.

Q: Can I visit Novosibirsk without knowing Russian?

A: While knowing some basic Russian phrases can be helpful, many establishments in Novosibirsk, especially tourist areas, have English signage and staff who can communicate in English. However, learning a few essential Russian phrases can enhance your travel experience.

Novosibirsk's captivating history and vibrant culture make it a must-visit destination for any traveler. From its humble beginnings as a small settlement to its current status as Russia's third-largest city, Novosibirsk has a story worth exploring. If you're a sports enthusiast, don't miss the opportunity to learn more about the city's beloved football club , FC Sibir Novosibirsk. With its rich heritage and passionate fan base, the club has become an integral part of Novosibirsk's identity.

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A traveler's guide to Novosibirsk, the unofficial capital of Siberia

Trans-Siberian heritage

Residents of Novosibirsk love trains and are proud of the fact that their city played a significant role in the history of the grand Trans-Siberian railway, which spans the breadth of Russia. The railway is such a part of Novosibirsk identity that it is even depicted on the city’s emblem, along with the bridge that crosses the Ob river and two Siberian sables standing on their hind legs.  

In the city, there are as many as five monuments to trains, and an open-air locomotive museum is located in the vicinity of the train station Seyatel’. The museum has more than 100 steam locomotives, diesel locomotives and carriages, reflecting the history of rail transportation in Russia from pre-revolutionary times to the present day. Wondering around the stationary trains and comparing your height with the diameter of the gigantic iron wheels of the first steam locomotives is all very well, but why not climb inside the carriages and see how the nobility once traveled across Russia in pre-revolutionary times? These tours will however need to be booked in advance. The museum opens from 11:00 until 17:00 every day except Mondays. 

Novosibirsk spans both sides of the river Ob. In the early twentieth century, the border of two different timezones passed right through the city which led to a strange situation- morning on the east bank started one hour earlier than on the west bank! The two-kilometer covered metro bridge that crosses the river is considered the longest in the world. Due to the fluctuations in temperature across the year (on average +30 °C to -30 °C), during the summer the metro bridge expands, and in the winter it contracts by half a meter. To counter these effects, the bridge’s supports are equipped with special rollers that allow it to move.   

The cultural center of Siberia

The repertoire of the theatre can be viewed on its official website . The theatre season runs from September to July, and comprises mainly classical performances, like the ballet “The Nutcracker” by Tchaikovsky, Borodin’s opera “Prince Igor” and Verdi’s “La Traviata”.  

The large Siberian sea and ligers

Weekends are best spent at the Novosibirsk zoo . The zoo is known for breeding big cats, although surrounded by controversy, hosts a successful crossing of a tiger and lion, which of course would not otherwise breed in wildlife. Ligers, or exotic cubs of an African lion and Bengal tigress, feel quite comfortable in the Siberian climate and even produce offspring. The zoo is open to visitors year-round, seven days a week, and even has its own free mobile app, Zoo Nsk .

Every year at the beginning of January, the festival of snow culture takes place bringing together artists from across Russia and around the world to participate in a snow sculpting competition. The tradition started in 2000 inspired by the snow festival in Sapporo, Novosibirsk’s twin-city.

Siberian Silicon Valley

Despite the fact that Akademgorodok was built half a century ago in the middle of the uninhabited Siberian taiga, architecturally it was ahead of its time. No trees were destroyed for its construction, and houses were built right in the middle of the forest. A man walking through the woods would seemingly stumble upon these structures. At that time, no one had built anything similar in the world and ecovillages only became fashionable much later.

For residents of the Novosibirsk Akademgorodok is a different world. When you step out the bus or car, you are immediately on one of the hiking paths through the forest, between the scientific buildings and clubs. On a walk through Akademgorodok, it is possible to unexpectedly encounter art-like objects handmade by residents of the city which have been erected as monuments and some monuments fixed up by city authorities. For example, the monument to the laboratory mice, which knits a strand of DNA on to some needles, can be found in the square alongside the Institute of Cytology and Genetics. In Akademgorodok there are many cafes and restaurants, in which it is possible to rest after a long walk. Grab a coffee and go to eat at Traveler’s Coffee , or eat lunch at the grille and bar People’s or Clover .

Winters in the Akademgorodok are slightly colder than in the city, so wrap up. Spring and summer are usually wetter, so waterproof boots are recommended. In the summer the Ob sea provides respite from the heat, so do not forget your swimsuit to go for a dip.

Memento Mori

Among the exhibits of the museum is one dedicated to world funeral culture — hearses, memorial jewellery from the hair of the deceased, samples from a specific photo-genre of  "post mortem", a collection of funeral wear from the Victorian era, deathmasks, statues and monuments. There’s also an impressive collection of coffins. One of them, resembling a fish, was manufactured on a special visit to Novosibirsk by a designer coffin-maker from Africa, Eric Adjetey Anang, who specializes in the production of unusual coffins.

Surprisingly, the crematorium itself does not look at all gloomy in appearance and definitely does not look like infernal scenes from movies, or like crematoriums of other cities that gravitate towards gloomy temple aesthetics. The Novosibirsk crematorium is decorated in “cheerful” orange tones and is surrounded by a park with a children’s playground nearby. A visit to the museum then leaves you with mixed feelings. 

Novosibirsk underground

Tourists from all over the world go down into the Moscow metro to take a ride and a few selfies in the most famous underground museum. The Novosibirsk metro is also quite a museum in itself — it has 13 stations, the most beautiful of which is Gagarinskaya, Sibirskaya and Rechnoy Vokzal.

The ultramodern Gagarinskaya station is like a real cosmos underground. Its technologically themed design includes marble walls with metallic elements, dark blue backlighting and portraits of Yuri Gagarin. The Sibirskaya station looks like an underground treasure trove, decorated by Altai masters craftsmen with mosaics of precious Siberian stones. The Rechnoy Vokzal station is framed with ten glowing stained glass windows depicting the largest cities of Siberia, including Novosibirsk itself, Omsk, Barnaul and others. The platform resembles a big ship sailing on the Ob, from which ancient Siberian cities are visible through its windows.  

How to get there

The easiest way to get to Novosibirsk is by plane with Aeroflot or Novosibirsk airline S7 with one-way tickets from Moscow costing from 200-250 USD. If you decide to take from the train from Moscow, you’ll have to travel approximately a third of the Trans-Siberian Railway. That’s 3,300 kilometers over almost a three-day journey. 

Where to stay

There are many great hotels in Novosibirsk. Amongst the best include a four-star Doubletree hotel by Hilton , which is located near Lenin Square (per room from $200). After renovations and repairs, the congress-hotel Novosibirsk has improved (per room from $100) and is located across from the train station. Less expensive but of a similar standard is the four-star River Park hotel near Rechnoy Vokzal metro station, which costs $80 per night.

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Eureka Math Grade 8 Module 4 Lesson 15 Answer Key

Engage ny eureka math 8th grade module 4 lesson 15 answer key, eureka math grade 8 module 4 lesson 15 opening exercise answer key.

a. Which graph is steeper? Answer: It looks like Graph B is steeper.

b. Write directions that explain how to move from one point on the graph to the other for both Graph A and Graph B. Answer: For Graph A, move 2 units up and 3 units right. For Graph B, move 4 units up and 3 units right.

c. Write the directions from part (b) as ratios, and then compare the ratios. How does this relate to which graph was steeper in part (a)? Answer: \(\frac{2}{3}\)<\(\frac{4}{3}\).

a. Which graph is steeper? Answer: It looks like Graph A is steeper.

b. Write directions that explain how to move from one point on the graph to the other for both Graph A and Graph B. Answer: For Graph A, move 4 units up and 5 units right. For Graph B, move 1 unit up and 12 units right.

c. Write the directions from part (b) as ratios, and then compare the ratios. How does this relate to which graph was steeper in part (a)? Answer: \(\frac{4}{5}\)>\(\frac{1}{12}\). Graph A was steeper and had the greater ratio.

b. Write directions that explain how to move from one point on the graph to the other for both Graph A and Graph B. Answer: For Graph A, move 7 units up and 1 unit right. For Graph B, move 3 units up and 6 units right.

c. Write the directions from part (b) as ratios, and then compare the ratios. How does this relate to which graph was steeper in part (a)? Answer: \(\frac{7}{1}\)>\(\frac{3}{6}\). Graph A was steeper and had the greater ratio.

b. Write directions that explain how to move from one point on the graph to the other for both Graph A and Graph B. Answer: For Graph A, move 1 unit up and 5 units right. For Graph B, move 4 units up and 1 unit right.

c. Write the directions from part (b) as ratios, and then compare the ratios. How does this relate to which graph was steeper in part (a)? \(\frac{1}{5}\)<\(\frac{4}{1}\). Graph B was steeper and had the greater ratio.

a. Which graph is steeper? Answer: They look about the same steepness.

b. Write directions that explain how to move from one point on the graph to the other for both Graph A and Graph B. Answer: For Graph A, move 4 units up and 4 units right. For Graph B, move 3 units up and 3 units right.

c. Write the directions from part (b) as ratios, and then compare the ratios. How does this relate to which graph was steeper in part (a)? Answer: \(\frac{4}{4}\)=\(\frac{3}{3}\). The graphs have equal ratios, which may explain why they look like the same steepness.

Eureka Math Grade 8 Module 4 Lesson 15 Exercise Answer Key

Use your transparency to find the slope of each line if needed.

Exercise 3. Which of the lines in Exercises 1 and 2 is steeper? Compare the slopes of each of the lines. Is there a relationship between steepness and slope? Answer: The graph in Exercise 1 seems steeper. The slopes are 4 and 3. It seems like the greater the slope, the steeper the line.

Eureka Math Grade 8 Module 4 Lesson 15 Problem Set Answer Key

Students practice identifying lines as having positive or negative slope. Students interpret the unit rate of a graph as the slope of the graph.

In Lesson 11, you did the work below involving constant rate problems. Use the table and the graphs provided to answer the questions that follow.

a. How many gallons of water flow out of the faucet per minute? In other words, what is the unit rate of water flow? Answer: The unit rate of water flow is 3.5 gallons per minute.

b. Assume that the graph of the situation is a line, as shown in the graph. What is the slope of the line? Answer: The slope of the line is 3.5, m=3.5.

a. How many square feet can Emily paint in one minute? In other words, what is her unit rate of painting? Answer: The unit rate at which Emily paints is 6.4 square feet per minute.

b. Assume that the graph of the situation is a line, as shown in the graph. What is the slope of the line? Answer: The slope of the line is 6.4, m=6.4.

b. Assume that the graph of the situation is a line, as shown in the graph. What is the slope of the line? Answer: The slope of the line is 32, m=32.

Eureka Math Grade 8 Module 4 Lesson 15 Exit Ticket Answer Key

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