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Eureka Math Student Materials: Grades K–5

Learn, Practice, Succeed

Learn, Practice, and Succeed from   Eureka Math™   offer teachers multiple ways to differentiate instruction, provide extra practice, and assess student learning. These versatile companions to   A Story of Units®   (Grades K–5) guide teachers in response to intervention (RTI), provide extra practice, and inform instruction.

Also available for Grades 6–8 . 

Learn, Practice, Succeed can be purchased all together or bundled in any configuration. Contact your account solutions manager for more information and pricing.  

The Learn book serves as a student’s in-class companion where they show their thinking, share what they know, and watch their knowledge build every day!

Application Problems:  Problem solving in a real-world context is a daily part of   Eureka Math , building student confidence and perseverance as students apply their knowledge in new and varied ways.

Problem Sets :  A carefully sequenced Problem Set provides an in-class opportunity for independent work, with multiple entry points for differentiation.

Exit Tickets:   These exercises check student understanding, providing the teacher with immediate, valuable evidence of the efficacy of that day’s instruction and informing next steps.

Templates:   Learn   includes templates for the pictures, reusable models, and data sets that students need for   Eureka Math   activities.

With   Practice , students build competence in newly acquired skills and reinforce previously learned skills in preparation for tomorrow’s lesson.   Together,   Learn   and   Practice   provide all the print materials a student uses for their core instruction.

Eureka Math  contains multiple daily opportunities to build fluency in   mathematics . Each is designed with the same notion—growing every student’s ability to use mathematics   with ease . Fluency experiences are generally fast-paced and energetic, celebrating improvement and focusing on recognizing patterns and connections within the material.

Eureka Math   fluency activities provide differentiated practice through a variety of formats—some are conducted orally, some use manipulatives, others use a personal whiteboard, or a handout and paper-and-pencil format.

Sprints:  Sprint fluency activities in  Eureka Math Practice  build speed and accuracy with already acquired skills. Used when students are nearing optimum proficiency, Sprints leverage tempo to build a low-stakes adrenaline boost that increases memory and recall. Their intentional design makes Sprints inherently differentiated – the problems build from simple to complex, with the first quadrant of problems being the simplest, and each subsequent quadrant adding complexity.

Eureka Math Succeed   enables students to work individually toward mastery.  Teachers and tutors can use  Succeed   books from prior grade levels as curriculum-consistent tools for filling gaps in foundational knowledge. Students will thrive and progress more quickly, as familiar models facilitate connections to their current, grade-level content.

Additional Problem Sets:  Ideal for Homework or extra practice, these additional problem sets align lesson-by-lesson with what is happening in the classroom. These problems are sequenced from simple-to-complex to naturally scaffold student practice. They align with   Eureka Math   and use the curriculum’s mathematical models and language, ensuring that students feel the connections and relevance to their daily instruction, whether they are working on foundational skills or getting extra practice on the current topic.

Homework Helpers:   Each problem set is accompanied by a Homework Helper, a set of worked examples that illustrate how similar problems are solved. The examples, viewed side by side with the homework, support students as they reinforce the day’s learning. Homework Helpers are also a great way to keep parents informed about math class.

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Eureka Math Grade 5 Module 4 Lesson 31 Answer Key

Engage ny eureka math 5th grade module 4 lesson 31 answer key, eureka math grade 5 module 4 lesson 31 problem set answer key.

Question 1. Estimate and then divide. An example has been done for you. a. 53.2 ÷ 0.4 ≈ b. 1.52 ÷ 0.8 ≈ Answer:

Question 2. Estimate and then divide. The first one has been done for you. a. 9.42 ÷ 0.03 ≈ b. 39.36 ÷ 0.96 ≈ Answer:

Question 4. The total distance of a race is 18.9 km. a. If volunteers set up a water station every 0.7 km, including one at the finish line, how many stations will they have? b. If volunteers set up a first aid station every 0.9 km, including one at the finish line, how many stations will they have? Answer:

Question 5. In a laboratory, a technician combines a salt solution contained in 27 test tubes. Each test tube contains 0.06 liter of the solution. If he divides the total amount into test tubes that hold 0.3 liter each, how many test tubes will he need? Answer:

Eureka Math Grade 5 Module 4 Lesson 31 Exit Ticket Answer Key

Estimate first, and then solve using the standard algorithm. Show how you rename the divisor as a whole number. Question 1. 6.39 ÷ 0.09 Answer:

Question 2. 82.14 ÷ 0.6 Answer:

Eureka Math Grade 5 Module 4 Lesson 31 Homework Answer Key

Question 1. Estimate and then divide. An example has been done for you. a. 61.6 ÷ 0.8 ≈ b. 5.74 ÷ 0.7 ≈ Answer:

Question 2. Estimate and then divide. An example has been done for you. a. 4.74 ÷ 0.06 ≈ b. 19.44 ÷ 0.54 ≈ Answer:

Question 4. Lucia is making a 21.6 centimeter beaded string to hang in the window. She decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters. How many green beads and how many purple beads will she need? Answer:

Question 5. A group of 14 friends collects 0.7 pound of blueberries and decides to make blueberry muffins. They put 0.05 pound of berries in each muffin. How many muffins can they make if they use all the blueberries they collected? Answer:

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13 Things To Do In Saint Petersburg | Russia’s Most Beautiful City

By Author Christian L.

Posted on Published: January 17, 2021  - Last updated: September 11, 2021

Categories Europe , Destinations , Russia

Once known as Leningrad and before that Petrograd, Saint Petersburg, Russia, is the country’s second-largest city. Set next to the Neva River, close to the Baltic Sea, this city is home to over 5 million people.

It’s the world’s northernmost city, founded by Peter the Great and named after Saint Peter the apostle. Once home to the Tsars of Russia, it is today known as the country’s cultural capital.

With iconic sights such as Hermitage Museum, Nevsky Prospect, Peterhof Palace, and so much more, it has a fascinating heritage ripe for exploration. Without further ado, let’s dive into the 13 best things to do in St. Petersburg. 

Top Things to do in St. Petersburg, Russia

St. Petersburg, Europe, has grown into one of the top tourist destinations on the continent. Although it might get very cold in winter, there are still plenty of things to do – and the summers are absolutely perfect! Saint Petersburg is one of the prettiest cities in all of Europe .

Keep reading for some of my favorite choices. 

1. Visit The World Famous Hermitage Museum

One of the city’s most popular attractions (with over 3 million items in its esteemed collection), State Hermitage Museum showcases everything from fine art to ancient artifacts. 

Even if you don’t plan on entering inside, the exterior is an architectural gem in itself. The columns are all in white with green/gold facades that can be viewed from the river or Palace Square.

If you’re visiting St. Petersburg, Russia, your trip would not be complete without stopping past this world-famous landmark. It’s also a great activity to do no matter what time of year you are visiting – and a perfect way to escape those cold Russian winter days. 

There are six buildings in the museum complex in total. Five of which – Winter Palace, Small Hermitage, Old Hermitage, New Hermitage, and Hermitage Theatre – can be accessed by the public.

Within, you’ll be treated to Egyptian collections, artifacts dating from ancient Mesopotamia, and classical Greek jewelry, pottery, and sculptures. This is any historical culture lover’s dream. 

Keep exploring, and you will find collections of prehistoric relics from the Palaeolithic era to the Iron Ages, European fine arts, Impressionist works, Catherine the Great’s personal collections, and so much more.

In fact, you’ll need an entire day or possibly longer to explore this incredible museum complex. If you only have limited time in St. Petersburg, be sure to add this museum to your itinerary! There are also guided tours available if you want a more educational experience. 

Did you know? The Hermitage Museum is the world’s second-largest art museum.

2. Take in a Performance at Mariinsky Theatre

The Neoclassical Mariinsky Theatre is home to Russia’s revered opera and ballet companies.

The theatre – named after the wife of Tsar Alexandra II, Empress Maria Alexandrovna – has been here since 1860 when it was known as the Kirov Theatre.

This magnificent building, since it opened, has hosted stage performances and premieres from Tchaikovsky and Mussorgsky and famous ballets such as Sleeping Beauty, Swan Lake and The Nutcracker. 

Today, in addition to hosting live performances, the theatre has its own record label, which focuses on releasing music by Russian composers Stravinsky, Tchaikovsky, and Rachmaninov.

If you enjoy the arts and are going to be in St. Petersburg for several days, book tickets to see a world-class performance – you won’t be disappointed.

3. See Jewelled Eggs at the Faberge Museum

The House of Faberge was founded in St. Petersburg in 1842 by Gustav Faberge. Originally a jeweler, he became famous for designing jewel-encrusted eggs for the Tsars of Russia and is arguably the most famous goldsmith of the modern era. 

Today, you can view these iconic collection pieces in the Faberge Museum. It showcases 4,000 items in total, including Faberge Easter eggs, jewelry, silverware, home decor, and fantasy-themed objects.

The incredible jeweled eggs are famous all over the world, and there are several museums dedicated to them. But if you want to learn about Gustav Faberge, his family, and how it all began, this is the museum to visit. You can purchase a ticket in person or online. 

4. Spend an Hour Canal Cruising

St. Petersburg is built on 42 islands, and once upon a time (before bridges were constructed), cruising was the only way to navigate the city.

On a Golden Ring boat tour, you’ll see some of St. Petersburg’s iconic sights along the Kryukov Canal, including St. Nicholas Cathedral, Saint Isaac’s Cathedral, and the Mariinsky theatre.

You’ll dip beneath the famous colored bridges on Neva River whilst enjoying views of Peter and Paul Fortress, Vasilyevsky Island, and the Summer Garden. This is truly one of the most breathtaking ways to take in all the beauty that St. Petersburg has to offer. 

This tour also only takes around an hour, so you’ll have plenty of time to revisit your favorite spots throughout the day!

5. Discover Church of the Savior on Spilled Blood

One of St. Petersburg’s architectural masterpieces is the Church of Our Savior on Spilled Blood.

This former Russian Orthodox Church was completed in 1907 and is built in Baroque, Neoclassical, and Russian Revival design. It is one of the city’s main attractions, with ornate domes, intricate frescoes, and 7,500 square meters of mosaics inside. 

If you don’t wish to enter, you can gain incredible views from Griboedov Canal. But if you do venture inside, you’ll be rewarded with interior frescoes and mosaic works depicting biblical scenes and figures created by celebrated Russian artists of the time.

The Church of the Saviour of Blood is built on the spot where Emperor Alexander 2 was assassinated in 1881 – hence the name. So, not only will you be able to appreciate the fine architectural designs, but also explore an important part of Russian history. 

6. Take a Rooftop Walk-in St. Petersburg

If you have viewed the city from canals and rivers, try it from the rooftops! You can take a guided rooftop walk in the city, seeing streets and skylines from an elevated perspective.

One particular tour to highlight is the Official Rooftops Excursion of St. Petersburg. Just a few minutes from Nevsky Prospect, these sites offer vistas of Fontanka River and Trinity Cathedral – and that’s just the first roof.

The second roof boasts views of St. Petersburg’s old center, St. Isaac’s Cathedral, Kazan Cathedral, and the Church on Spilled Blood.

This is a truly incredible way to see the city in all its glory, plus the tour provides you with binoculars so you can see everything in great detail.

7. Admire Nevsky Prospect’s Magnificent Architecture

The main street of St. Petersburg is Nevsky Prospect. Begin at the intersection at Stroganov Palace before venturing to Kazan Cathedral. While you walk, take in the monuments dedicated to Catherine the Great and browse goods at The Passage – Nevsky Avenue’s premier department store.

This store was quite the trailblazer. It opened its doors in the late 1840s and was one of the first buildings in Russia to use gas for lighting. Then, in 1900, an electric station was installed on an underground floor.

Once you’ve finished shopping and enjoyed a fresh cup of coffee, continue to the Russian National Library – the oldest public library in Russia – and Alexandrinsky Theatre (which was built for the Imperial troupe of Petersburg).

8. Visit the Island of Peter and Paul Fortress

Set on an island connected by bridges, Peter and Paul Fortress is instantly recognizable from its needle spire, which dominates the skyline. The fortress was originally built to defend the maritime city from Swedish invaders.

However, Peter the Great defeated the opposition before it was even completed! It has since served as a military center and prison for political dissenters and, latterly, as a museum.

Inside the vast complex, you can see Peter and Paul Cathedral, visit the resting place of the Romanovs, and watch military processions or the firing of the noon-day gun.

It’s a great day trip for anyone interested in Russian, maritime or military history. There are also plenty of group walking tours available. 

9. Sample Russian Vodka in a Ryumochnye

A visit to Russia wouldn’t be complete without sampling the local drink – vodka, and the best place to do this is in a Ryumochnye. This is a specific style of 19th-century Russian drinking house that not only offers some of Russia’s best vodka but also a short history lesson.

You could call it a bar, but it’s more than that – most mainstream Ryumochnye have a definite Soviet vibe and are places for working men to kick back and enjoy vodka with their buddies.

Beverages come in bottles or shot form, and some places offer self-service and snacks.

If that sounds too hardcore for your taste, there are updated versions of Ryumochnye in the city, like Mayak in St. Petersburg, where you can gain a similar experience. 

10. Enjoy local Saint Petersburg Craft Beer

Although most people think of vodka when visiting Russia, you can also enjoy some of the best craft beer in Saint Petersburg . Russia’s second-largest city has an exciting, rapidly growing craft beer scene, in part due to its history and geography.

Historically, the Russian empire was influenced by Northern Europe, and the Dutch & English beer-drinking culture eventually made its way here. Today, Saint Petersburg is home to a growing number of modern microbreweries, cool taprooms, and stylish bars.

Saint Petersburg is also home to Stepan Razin Brewery, the oldest brewery in Russia (now, of course, owned by Heiniken). It opened in 1795, but today the building is known as the Saint Petersburg Beer Museum, showcasing the history of beer in Russia and the Soviet Union.

Russia’s largest and most popular brewery, Baltika, is also located in Saint Petersburg, and it’s possible to take a tour of their huge brewery.

11. See the Majestic Catherine Palace

A stately palace of blue and gold, Catherine’s Palace is located 26 kilometers south of St. Petersburg. Named after the wife of Peter the Great, this place was originally a two-story modest building commissioned in 1717.

The exterior, which stretches for one kilometer in circumference, is surrounded by woodlands, lawns, gilded balconies, and reliefs. However, the interiors are even more impressive.

With great halls, a white dining room, an amber room, and more. It’s the perfect place to step back into history and discover what life was like as a Russian aristocracy.

12. Explore Peterhof Palace

If you’re going to visit Catherine Palace, you should tour Peterhof too. It’s a 40-minute drive away, but you can even take a hydrofoil speed boat from right behind the Hermitage in Saint Petersburg center.

Sitting close to the Baltic Sea, Peterhof Palace was constructed by Peter the Great to be Russia’s version of Versailles. The opulent residence surrounded by sculptures, fountains, and tiered staircases leading to the grand entrance evokes mystery and the history of a bygone era.

Inside it is lavishly decorated with dazzling chandeliers, one-of-a-kind artworks and beautiful ceiling frescoes.

On a guided tour, you can learn more about the palace’s history. Discover the Throne Room, Portrait Hall and Peter the Great’s Oak Study. You’ll see dining rooms set for dinner, grand ballrooms where dancing and gatherings would take place, and décor which defies time.

The palace offers great insight into his life and legacy, and if you are interested in history, art and interior design, you’ll love it.

Want to know more about Peterhof?

13. Spend a Day by the Finnish Border at Vyborg

Just over an hour from central Saint Petersburg by train is the city of Vyborg. It sits on the Gulf of Finland and was first settled back in the 12th century. The city has been occupied by Finnish and German forces and suffered extensive damage during the Second World War. However, it has since been rebuilt. 

It’s a charming center to wander around, with narrow cobbled streets, a medieval castle, and Finnish art nouveau structures sprinkled throughout. An easy day trip from St. Petersburg, it can also serve as a stop-off point if you’re crossing into Finland to continue your adventure.

Want to know more about Saint Petersburg?

Where is St. Petersburg | Is St. Petersburg in Europe?

If you want to know “Where is Saint Petersburg?”, you’ve come to the right place. Beautiful St. Petersburg is located in northern Russia. Russia is a massive country, so it is no surprise that many people want to know “Is Saint Petersburg in Europe?”. The answer is yes. 

How to Get to Saint Petersburg

The maritime city is well linked to Europe by air, sea, rail and road. Depending on where you’re traveling from and the rest of your itinerary, you can use one of the following ways to arrive at St. Petersburg.

You can fly into Saint Petersburg through Pulkovo International Airport. There are around 1,100 international flights a week and 1,200 domestic flights operating in and out of the local airport.

Although many flights from European cities to Saint Petersburg are direct, you may have to change flights if flying from further afield.

It’s also possible to travel to St. Petersburg by train. The most popular (and most frequent) routes operate from Moscow, Helsinki, and Tallinn. However, there are options to travel from other areas in central Europe, central Asia, and eastern Europe by rail.

There is a central bus station in Saint Petersburg, with services to and from Moscow, Pskov, Novgorod, Vilnius, Riga , Tallinn and Helsinki. Some of these journeys can be long and arduous.

Therefore, thorough research and choosing the right bus company is important.

Baltic Sea Cruises also operate to St. Petersburg as part of a larger itinerary, and St. Peter Line Ferry sails from Helsinki in Finland and Tallinn in Estonia.

Exploring Saint Petersburg, Russia

Saint Petersburg is the 5th most populous city in Europe and also a leading tourist destination. Although people sometimes forget about Russia, this city is breathtakingly beautiful and provides plenty of cultural and historical attractions.

Now that you know where to go, I hope you have an amazing time in Russia’s most beautiful city.

Friday 19th of January 2018

Thank you! So great review about our St. Petersburg!

What to do in St. Petersburg in 1 day - Probe around the Globe

Thursday 11th of May 2017

[…] more about the beauty of St. Petersburg from the Unusual […]

Friday 17th of June 2016

Which hostel did you stay at? I am potentially thinking of going to Russia for World Cup 2018 after my World Cup trip to Brazil two years ago. Saint Petersburg is one of the host cities, and so I am very interested in learning more about this city and recommendations from fellow travellers who have been.

Christian L.

I stayed at Soul Kitchen Junior, and I will go so far and say its by far the best hostel I have ever stayed at!! Anywhere in the world, no other hostels even get close to it:)

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St Petersburg

Planning a trip to Saint Petersburg? Our travel guide contains up-to-date, personal information on everything from what to see , to when to visit , where to stay , and what to eat !

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Why visit Saint Petersburg?

Saint Petersburg, Petrograd, Leningrad... under any of its names, it's an elegant city with an eventful past . Built by Peter the Great in the early 18th century as a display of the power of Imperial Russia to the world , it's an important artistic and cultural center thanks to the wealth of monuments  and museums  that tell its story.

The City of Tsars and the former Russian capital, Saint Petersburg is also intrinsically linked to the water, earning it the nickname " Venice of the North " for its impressive number of canals and bridges . Lavish palaces, exquisite gardens, and some of the world's best museums complete the city's offering for locals and tourists alike.

Relive the elegance of Imperial Russia by visiting Saint Petersburg's fairy tale chateaux: Peterhof Palace , the Winter Palace , and Catherine Palace await you in all their glory. For a well-deserved break after sightseeing, stop in at a local restaurant to indulge in Russian specialties: caviar, vodka, and beef Stroganoff anyone?

From May to June, the White Nights make Saint Petersburg even more magical, with impossibly beautiful sunsets bringing almost-endless summer nights to a close.

Where to start?

If you're going to travel to Saint Petersburg and you don't know much about the city yet, the first thing to do is to dive into its legendary history - understanding the past will help you understand the present. Next, check out our practical hints and tips on traveling to the city, before discovering which of its most important museums , monuments , and attractions pique your interest.

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Booking your accommodation in advance is the best way to get great discounts. Our detailed guide on where to stay in Saint Petersburg  will help you decide which neighborhood you'd like to look for hotels or apartments in, and our hotel search engine will find you the best deals!

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Why is our Saint Petersburg travel guide the best?

Introducing Saint Petersburg is a  city guide written by travelers for travelers , and contains personalized advice to help you make the most of your trip to the city.

All the information in this guide is valid as of April 2021. If you find any errors or have any comments, please feel free to contact us .

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