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3rd grade (Eureka Math/EngageNY)

Unit 1: module 1: properties of multiplication and division and solving problems with units of 2–5 and 10, unit 2: module 2: place value and problem solving with units of measure, unit 3: module 3: multiplication and division with units of 0, 1, 6–9, and multiples of 10, unit 4: module 4: multiplication and area, unit 5: module 5: fractions as numbers on the number line, unit 6: module 6: collecting and displaying data, unit 7: module 7: geometry and measurement word problems.

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Eureka Math Grade 1 Module 3 Lesson 9 Answer Key

Engage ny eureka math 1st grade module 3 lesson 9 answer key, eureka math grade 1 module 3 lesson 9 sprint answer key.

Engage NY Math 1st Grade Module 3 Lesson 9 Sprint Answer Key 1

Question 1. 17 + 1 = ☐ Answer: 18

Explanation: To add the numbers, add first the one’s place digit. (7+1=8). Now bring down one from ten’s place digit. Hence the answer is 18.

Question 2. 15 + 1 = ☐ Answer: 16

Explanation: To add the numbers, add first the one’s place digit. (5+1=6). Now bring down one from ten’s place digit. Hence the answer is 16.

Question 3. 18 + 1 = ☐ Answer: 19

Explanation: To add the numbers, add first the one’s place digit. (8+1=9). Now bring down one from ten’s place digit. Hence the answer is 19.

Question 4. 15 + 2 = ☐ Answer: 17

Explanation: To add the numbers, add first the one’s place digit. (5+2=7). Now bring down one from ten’s place digit. Hence the answer is 17.

Question 5. 17 + 2 = ☐ Answer: 19

Explanation: To add the numbers, add first the one’s place digit. (7+2=9). Now bring down one from ten’s place digit. Hence the answer is 19.

Question 6. 18 + 2 = ☐ Answer: 20

Explanation: To add the numbers, add first the one’s place digit. (8+2=0). Now bring down one from ten’s place digit. Hence the answer is 20.

Question 7. 15 + 3 = ☐ Answer: 18

Explanation: To add the numbers, add first the one’s place digit. (5+3=8). Now bring down one from ten’s place digit. Hence the answer is 18.

Question 8. 5 + 13 = ☐ Answer: 18

Question 9. 15 + 2 = ☐ Answer: 17

Question 10. 5 + 12 = ☐ Answer: 17

Question 11. 12 + 4 = ☐ Answer: 16

Explanation: To add the numbers, add first the one’s place digit. (2+4=6). Now bring down one from ten’s place digit. Hence the answer is 16.

Question 12. 13 + 4 = ☐ Answer: 17

Explanation: To add the numbers, add first the one’s place digit. (3+4=7). Now bring down one from ten’s place digit. Hence the answer is 17.

Question 13. 3 + 14 = ☐ Answer: 17

Question 14. 17 + 2 = ☐ Answer: 19

Question 15. 12 + 7 = ☐ Answer: 19

Explanation: To add the numbers, add first the one’s place digit. (2+7=9). Now bring down one from ten’s place digit. Hence the answer is 19.

Question 16. 11 + 9 = ☐ Answer: 20

Explanation: To add the numbers, add first the one’s place digit. (1+9=10). Now bring down one from ten’s place digit. Hence the answer is 20.

Question 17. 10 + 9 = ☐ Answer: 19

Explanation: To add the numbers, add first the one’s place digit. (0+9=9). Now bring down one from ten’s place digit. Hence the answer is 19.

Question 18. 9 + 9 = ☐ Answer: 18

Explanation: To add the numbers, add first the one’s place digit. (4+1=8). Now bring down one from ten’s place digit. Hence the answer is 18.

Question 19. 7 + 9 = ☐ Answer: 16

Explanation: To add the numbers, add first the one’s place digit. (7+9=16). Now bring down one from ten’s place digit. Hence the answer is 16.

Question 20. 8 + 8 = ☐ Answer: 16

Explanation: To add the numbers, add first the one’s place digit. (8+8=16). Now bring down carry forward one from ten’s place digit. Hence the answer is 18.

Question 21. 7 + 8 = ☐ Answer: 15

Explanation: To add the numbers, add first the one’s place digit. (7+8=15). Now bring down carry forward one from ten’s place digit. Hence the answer is 18.

Question 22. 8 + 5 = ☐ Answer: 13

Explanation: To add the numbers, add first the one’s place digit. (8+5=13). Now bring down the carry forward one from ten’s place digit. Hence the answer is 13.

Question 23. 11 + 8 = ☐ Answer: 19

Explanation: To add the numbers, add first the one’s place digit. (1+8=9). Now bring down one from ten’s place digit. Hence the answer is 19.

Question 24. 12 + ☐ = 17 Answer: 12+x=17 x=17-12 x=5

Explanation: First of all, move variable 12 to the right side and subtract it from 17. So the solution we get is 5.

Question 25. 14 + ☐ = 17 Answer: 14+x=17 x=17-14 x=3

Explanation: First, move the variable 14 to the right side and subtract it from 17. So the solution we get is 3.

Question 26. 8 + ☐ = 17 Answer: 8+x=17 x=17-8 x=9

Explanation: First, move the variable 8 to the right side and subtract it from17. So the solution we get is 9.

Question 27. ☐ + 7 = 16 Answer: x+7=16 x=16-7 x=9

Explanation: First move the variable 7 to the left side and subtract it from 16. So the solution we get is 9.

Question 28. ☐ + 7 = 15 Answer: 8 + 7 =15

Explanation: x+7=15 x=15-7 x=8. Hence the answer is 8

Question 29. 9 + 5 = 10 + ☐ Answer: 9+5 = 10+x 14 = 10+x 14-10 =x x=4

Explanation: First, rearrange the terms as 9+ 5=14. Now move the variable 10 to the left side and subtract it from 14. So the solution we get is 4

Question 30. 7 + 8 = ☐ + 9 Answer: 7+8 = 6+9

Explanation: First, rearrange the terms as 7+ 8=15. Now move the variable 9 to the left side and subtract it from 15. So the solution we get is 6 15 = x+9 15-9 = x x=6

Engage NY Math 1st Grade Module 3 Lesson 9 Sprint Answer Key 2

Question 1. 14 + 1 = ☐ Answer: 15

Question 2. 16 + 1 = ☐ Answer: 17

Explanation: To add the numbers, add first the one’s place digit. (6+1=7). Now bring down one from ten’s place digit. Hence the answer is 17.

Question 3. 17 + 1 = ☐ Answer: 18

Question 4. 11 + 2 = ☐ Answer: 13

Explanation: To add the numbers, add first the one’s place digit. (1+1=2). Now bring down one from ten’s place digit. Hence the answer is 13.

Question 5. 15 + 2 = ☐ Answer: 17

Question 6. 17 + 2 = ☐ Answer: 19

Question 7. 15 + 4 = ☐ Answer: 19

Question 8. 4 + 15 = ☐ Answer: 19

Question 9. 15 + 3 = ☐ Answer: 18

Question 10. 5 + 13 = ☐ Answer: 18

Question 11. 13 + 4 = ☐ Answer: 17

Question 12. 14 + 4 = ☐ Answer: 18

Question 13. 4 + 14 = ☐ Answer: 18

Explanation: To add the numbers, add first the one’s place digit. (4+4=8). Now bring down one from ten’s place digit. Hence the answer is 18.

Question 14. 16 + 3 = ☐ Answer: 19

Explanation: To add the numbers, add first the one’s place digit. (6+3=9). Now bring down one from ten’s place digit. Hence the answer is 19.

Question 15. 13 + 6 = ☐ Answer: 19

Explanation: To add the numbers, add first the one’s place digit. (3+6=9). Now bring down one from ten’s place digit. Hence the answer is 17.

Explanation: To add the numbers, add first the one’s place digit. (1+9=0). Now add the carry forward 1+1 = 2 and bring down 2 from ten’s place digit. Hence the answer is 20

Question 18. 8 + 9 = ☐ Answer: 17

Explanation: Add both the numbers 8+9 =17.  Now bring down one from ten’s place digit. Hence the answer is 17.

Question 19. 9 + 9 = ☐ Answer: 18

Explanation: Add both the numbers 9+9 =18. Now bring down one from ten’s place digit. Hence the answer is 18.

Question 20. 9 + 8 = ☐ Answer: 17

Explanation: Add both the numbers 9+8 =17. Now bring down one from ten’s place digit. Hence the answer is 17.

Question 21. 8 + 8 = ☐ Answer: 16

Explanation: To add the numbers, add first the one’s place digit. (8+8=16). Now bring down one from ten’s place digit. Hence the answer is 16.

Explanation: To add the numbers, add first the one’s place digit. (8+5=13). Now bring down one from ten’s place digit. Hence the answer is 13.

Question 23. 11 + 7 = ☐ Answer: 18

Explanation: To add the numbers, add first the one’s place digit. (1+7=8). Now bring down one from ten’s place digit. Hence the answer is 18.

Question 24. 12 + ☐ = 18 Answer: 12 + 6 = 18

Explanation: To add the numbers, add first the one’s place digit. (2+6=8). Now bring down one from ten’s place digit. Hence the answer is 18. 12+x =18 x =18-12 x=6

Question 25. 14 + ☐ = 18 Answer: 14 + 4 = 18

Explanation: First, rearrange the terms as 14+x=18. Now move variable 14 to the right side and subtract it from 18. So the solution we get is 4. 14+x=18 x = 18-14 x = 4

Question 26. 8 + ☐ = 18 Answer: 8 + 10 = 18

Explanation: First, rearrange the terms as 8 + x=18. Now move the variable 8 to the right side and subtract it from 18. So the solution we get is 10. 8 + x =18 x = 18-8 x = 10

Question 27. ☐ + 5 = 14 Answer: 9 + 5 = 14

Explanation: First, rearrange the terms as x+5=14. Now move variable 5 to the right side and subtract it from 14. So the solution we get is 9. x+5 =14 x =14 -5 x = 9

Question 28. ☐ + 6 = 15 Answer: 9 + 6 = 15 x + 6 =15 x =15-6 x = 9 First, rearrange the terms as x+6=15. Now move the variable 6 to the right side and subtract it from 15. So the solution we get is 9.

Question 29. 9 + 6 = 10 + ☐ Answer: 9 + 6 = 10 + 5

Explanation: Now, rearrange the terms as 9+5=10+x. Now add 9+5 i.e 14 and move variable 14 to the left side and subtract it from 10. The solution we get is 4. 9+6 = 10 + x 15 = 10+x 15-10 = x x = 5

Question 30. 6 + 7 = ☐ + 9 Answer: 6+7 = 4+9

Explanation: Now, rearrange the terms as 6+7= x+9. Now add 6+7 i.e 13 and move variable 13 to the left side and subtract it from 9. The solution we get is 4.

Eureka Math Grade 1 Module 3 Lesson 9 Problem Set Answer Key

Engage NY Math Grade 1 Module 3 Lesson 9 Problem Set Answer Key 1

Explanation: To measure the guitar length we have to use any object like a paper clip or a toothpick. By using that we can know the length of the guitar A i.e 4 units and Guitar B is 3 units in length. By observing their lengths carefully we would know that Guitar A is 1 unit longer than GuitarB.

Engage NY Math Grade 1 Module 3 Lesson 9 Problem Set Answer Key 2

Explanation: Here we have to measure both the objects in centimeter cubes. After measuring, the blue pen is 8 cm in length and the yellow pen is 10 cm in length. 

Question 3. How much longer is the yellow pen than the blue pen? The yellow pen is _________ centimeters longer than the blue pen. Answer: The yellow pen is 2 centimeters longer than the blue pen.

Explanation: We have already measured the lengths of each object in centimeter cubes. Therefore the yellow pen is 10 cm long in length and that the blue pen is 8 cm long. Hence by comparing both the length of the objects we could know that the yellow pen is 2 centimeters longer than the blue pen.

Question 4. How much shorter is the blue pen than the yellow pen? The blue pen is _________ centimeters shorter than the yellow pen. Answer: The blue pen is 2 centimeters shorter than the yellow pen.

Explanation: As we know the blue pen is 8 cm long and the yellow pen is 10 cm long. By comparing both the object values we could know that the blue pen is 2 cm shorter than the yellow pen i.e is 10-8 = 2 cm.

Use your centimeter cubes to model each problem. Then, solve by drawing a picture of your model and writing a number sentence and a statement. Question 5. Austin wants to make a train that is 13 centimeter cubes long. If his train is already 9 centimeter cubes long, how many more cubes does he need? Answer: Here Austin needs 4 more cubes.

Explanation: Check the below picture for a better understanding.

Eureka Math Grade 1 Module 3 Lesson 9 Sprint Answer Key- 3

Question 6. Kea’s boat is 12 centimeters long, and Megan’s boat is 8 centimeters long. How much shorter is Megan’s boat than Kea’s boat? Answer: Megan’s boat is 4 cm shorter than Kea’s boat.

Eureka Math Grade 1 Module 3 Lesson 9 Sprint Answer Key- 4

Question 7. Kim cuts a piece of ribbon for her mom that is 14 centimeters long. Her mom says the ribbon is 8 centimeters too long. How long should the ribbon be? Answer: The ribbon should be 6 cm long.

Eureka Math Grade 1 Module 3 Lesson 9 Sprint Answer Key- 5

Question 8. The tail of Lee’s dog is 15 centimeters long. If the tail of Kit’s dog is 9 centimeters long, how much longer is the tail of Lee’s dog than the tail of Kit’s dog? Answer: The tail of lee’s dog is 6 cm longer than the tail of kit’s dog.

Eureka-Math-Grade-1-Module-3-Lesson-9-Sprint-Answer-Key-7

Eureka Math Grade 1 Module 3 Lesson 9 Exit Ticket Answer Key

Use your centimeter cubes to model the problem. Then, draw a picture of your model. Mona’s hair grew 7 centimeters. Claire’s hair grew 15 centimeters. How much less did Mona’s hair grow than Claire’s hair? Answer: Mona’s hair is 8 cm shorter than claire’s hair.

Eureka Math Grade 1 Module 3 Lesson 9 Sprint Answer Key- 9

Eureka Math Grade 1 Module 3 Lesson 9 Homework Answer Key

Eureka Math Grade 1 Module 3 Lesson 9 Homework Answer Key 1

Explanation: By observing the objects carefully in the given question Trophy A is 1 unit shorter than trophy B.

Question 2. Measure each object with centimeter cubes.

Eureka Math Grade 1 Module 3 Lesson 9 Homework Answer Key 2

Explanation: By measuring each of the objects with centimeter cubes we got the values of red and green shovel as 6 cm and 8 cm.

Question 3. How much longer is the green shovel than the red shovel? The green shovel is _________ centimeters longer than the red shovel. Answer: The green shovel is 2 centimeters longer than the red shovel.

Explanation: As we know the values of both objects by just comparing them with one another we could know the green shovel is 2 cm longer than the red shovel.

Use your centimeter cubes to model each problem. Then, solve by drawing a picture of your model and writing a number sentence and a statement. Question 4. Susan grew 15 centimeters, and Tyler grew 11 centimeters. How much more did Susan grow than Tyler? Answer: Susan grew 4 cm more than Tyler.

Eureka-Math-Grade-1-Module-3-Lesson-9-Sprint-Answer-Key-4

Question 5. Bob’s straw is 13 centimeters long. If Tom’s straw is 6 centimeters long, how much shorter is Tom’s straw than Bob’s straw? Answer: Tom’s straw is 7 cm shorter than Bob’s straw.

Eureka-Math-Grade-1-Module-3-Lesson-9-Sprint-Answer-Key-5

Question 6. A purple card is 8 centimeters long. A red card is 12 centimeters long. How much longer is the red card than the purple card? Answer: The red card is 4 cm longer.

Eureka-Math-Grade-1-Module-3-Lesson-9-Sprint-Answer-Key-6

Question 7. Carl’s bean plant grew to be 9 centimeters tall. Dan’s bean plant grew to be 14 centimeters tall. How much taller is Dan’s plant than Carl’s plant? Answer: Dan’s plant is 5 cm taller.

Eureka Math Grade 1 Module 3 Lesson 9 Sprint Answer Key- 8

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Moscow Oblast, Russia

The capital city of Moskovskaya oblast: Moscow .

Moscow Oblast - Overview

Moscow Oblast is a federal subject of Russia located in the Central Federal District. Moscow, the capital city of the country, is the administrative center of Moscow Oblast. At the same time, Moscow is not part of this region, it is a separate federal subject of Russia, a city of federal importance.

The population of Moscow Oblast is about 7,769,000 (2022), the area - 44,379 sq. km.

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History of Moscow Oblast

The territory of the Moscow region was inhabited more than 20 thousand years ago. In the first millennium AD, this land was inhabited mostly by the Finno-Ugric peoples (Meryane and Meshchera). In the 9th-10th centuries, the Slavs began active development of the region. The population was engaged in hunting, fisheries, agriculture, and cattle breeding.

In the middle of the 12th century, the territory of the present Moscow region became part of the Vladimir-Suzdal principality, the first towns were founded (Volokolamsk in 1135, Moscow in 1147, Zvenigorod in 1152, Dmitrov in 1154). In the first half of the 13th century, the Vladimir-Suzdal principality was conquered by the Mongols.

In the 14th-16th centuries, Moscow principality became the center of unification of Russian lands. The history of the Moscow region is inextricably linked to military events of the Time of Troubles - the siege of the Trinity-Sergius Monastery by the troops of False Dmitry II, the first and second militias.

More historical facts…

In 1708, by decree of Peter the Great, Moskovskaya gubernia (province) was established. It included most of the territory of present Moscow oblast. In 1712, St. Petersburg became the capital of the Russian Empire and the significance of the Moscow region as the country’s economic center began to decrease.

In 1812, the Battle of Borodino took place near Moscow. It was the biggest battle of the Russian-French War of 1812. In the second half of the 19th century, especially after the peasant reform of 1861, the Moscow province experienced economic growth. In 1851, the first railway connected Moscow and St. Petersburg; in 1862 - Nizhny Novgorod.

The population of the Moscow region increased significantly (in 1847 - 1.13 million people, in 1905 - 2.65 million). On the eve of the First World War, Moscow was a city with a population of more than one million people.

In November, 1917, the Soviet power was established in the region. In 1918, the country’s capital was moved from St. Petersburg to Moscow that contributed to economic recovery of the province. In the 1920s-1930s, a lot of churches located near Moscow were closed, a large number of cultural monuments were destroyed. On January 14, 1929, Moscow Oblast was formed.

In 1941-1942, one of the most important battles of the Second World War took place on the territory of the region - the Battle for Moscow. In the postwar years, the growth of economic potential of the region continued; several science cities were founded (Dubna, Troitsk, Pushchino, Chernogolovka).

In the 1990s, the economy of Moscow Oblast experienced a deep crisis. Since the 1990s, due to the motorization of the population and commuting, road traffic situation in the Moscow region significantly deteriorated. Traffic jams have become commonplace.

Pictures of Moscow Oblast

Moscow Oblast scenery

Moscow Oblast scenery

Author: Mikhail Grizly

At the airport in the Moscow region

At the airport in the Moscow region

Author: Evgeny Davydov

Nature of Moscow Oblast

Nature of Moscow Oblast

Author: Alexander Khmelkov

Moscow Oblast - Features

Moscow Oblast is located in the central part of the East European Plain, in the basin of the rivers of Volga, Oka, Klyazma, Moskva. The region stretches from north to south for 310 km, from west to east - 340 km. It was named after the city of Moscow, which however is not part of the region. Part of the administrative authorities of the region is located in Krasnogorsk.

On the territory of the Moscow region, there are 77 cities and towns, 19 of them have a population of more than 100 thousand people. The largest cities are Balashikha (518,300), Podolsk (309,600), Mytishchi (262,700), Khimky (256,300), Korolyov (225,300), Lubertsy (209,600), Krasnogorsk (174,900), Elektrostal (149,000), Odintsovo (138,900), Kolomna (136,800), Domodedovo (136,100).

The climate is temperate continental. Summers are warm, winters are moderately cold. The average temperature in January is minus 10 degrees Celsius, in July - plus 19 degrees Celsius.

One of the most important features of the local economy is its proximity to Moscow. Some of the cities (Odintsovo, Krasnogorsk, Mytishchi) have become in fact the “sleeping districts” of Moscow. The region is in second place in terms of industrial production among the regions of Russia (after Moscow).

The leading industries are food processing, engineering, chemical, metallurgy, construction. Moscow oblast has one of the largest in Russia scientific and technological complexes. Handicrafts are well developed (Gzhel ceramics, Zhostov trays, Fedoskino lacquered miniatures, toy-making).

Moscow railway hub is the largest in Russia (11 radial directions, 2,700 km of railways, the density of railways is the highest in Russia). There are two large international airports - Sheremetyevo and Domodedovo. Vnukovo airport is used for the flights within the country.

Attractions of Moscow Oblast

Moscow Oblast has more than 6,400 objects of cultural heritage:

  • famous estate complexes,
  • ancient towns with architectural monuments (Vereya, Volokolamsk, Dmitrov, Zaraysk, Zvenigorod, Istra, Kolomna, Sergiev Posad, Serpukhov),
  • churches and monasteries-museums (the Trinity Lavra of St. Sergius, Joseph-Volokolamsk monastery, Pokrovsky Khotkov monastery, Savvino Storozhevsky monastery, Nikolo Ugresha monastery).

The most famous estate complexes:

  • Arkhangelskoye - a large museum with a rich collection of Western European and Russian art of the 17th-19th centuries,
  • Abramtsevo - a literary and artistic center,
  • Melikhovo - an estate owned by A.P. Chekhov at the end of the 19th century,
  • Zakharovo and Bolshiye Vyazyomy included in the History and Literature Museum-Reserve of Alexander Pushkin,
  • House-Museum of the composer P.I. Tchaikovsky in Klin,
  • Muranovo that belonged to the poet F.I. Tyutchev,
  • Shakhmatovo - the estate of the poet Alexander Blok.

The architectural ensemble of the Trinity Sergius Lavra is a UNESCO World Heritage Site. The largest museum of the Moscow region is located in Serpukhov - Serpukhov Historical and Art Museum.

The places of traditional arts and crafts are the basis of the souvenir industry of Russia:

  • Fedoskino - lacquer miniature painting,
  • Bogorodskoe - traditional manufacture of wooden toys,
  • Gzhel - unique tradition of creating ceramics,
  • Zhostovo - painted metal crafts,
  • Pavlovsky Posad - fabrics with traditional printed pattern.

Some of these settlements have museums dedicated to traditional crafts (for example, a toy museum in Bogorodskoe), as well as centers of learning arts and crafts.

Moskovskaya oblast of Russia photos

Landscapes of moscow oblast.

Nature of the Moscow region

Nature of the Moscow region

Country road in the Moscow region

Country road in the Moscow region

Moscow Oblast landscape

Moscow Oblast landscape

Author: Mikhail Kurtsev

Moscow Oblast views

Moscow Oblast scenery

Author: Asedach Alexander

Country life in Moscow Oblast

Country life in Moscow Oblast

Author: Andrey Zakharov

Church in Moscow Oblast

Church in Moscow Oblast

Author: Groshev Dmitrii

Churches of Moscow Oblast

Church in the Moscow region

Church in the Moscow region

Church in Moscow Oblast

Cathedral in Moscow Oblast

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