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Big Ideas Math Book 2nd Grade Answer Key Chapter 1 Numbers and Arrays
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Vocabulary
Lesson 1: Even and Odd Numbers
Lesson 2: Model Even and Odd Numbers
Lesson 3: Equal Groups
Lesson 4: Use Arrays
Lesson 5: Make Arrays
Performance Task
Numbers and Arrays Vocabulary
Organize It
Use the review words to complete the graphic organizer.
Answer: Plus sign
‘+’ is the mathematical symbol used to represent the notion of positive as well as the operation of addition.
Define It
Use your vocabulary cards to identify the word.
Question 1.
Answer: Even
Question 2.
Answer: Even
Question 3.
Answer: Odd
Chapter 1 Vocabulary Cards
Lesson 1.1 Even and Odd Numbers
Explore and Grow
Use linking cubes to model each story.
There are 6 students in the gym. Does each student have a partner?
There are 5 students in the library. Does each student have a partner?
Think and Grow
Show and Grow
Question 1.
Answer: Even
Explanation: There are 6 parts, An even number can be shown as 2 equal parts.
Question 2.
Answer: Odd
Explanation: There are 9 parts, An odd number cannot be shown as 2 equal parts.
Color cubes to show the number. Circle even or odd.
Question 3.
Answer: Odd
Explanation: 11 is odd number and cannot be shown as 2 equal parts.
Question 4.
Answer: Even
Explanation: 16 is even number and can be shown as 2 equal parts.
Apply and Grow: Practice
Color cubes to show the number. Circle even or odd.
Question 5.
Answer: Odd
Explanation: 13 is odd number and cannot be shown as 2 equal parts.
Question 6.
Answer: Even
Explanation: 10 is even number and can be shown as 2 equal parts.
Is the number even or odd?
Question 7.
Answer: Odd
Explanation: 1 is odd number and cannot be shown as 2 equal parts.
Question 8.
Answer: Even
Explanation: 4 is even number and can be shown as 2 equal parts.
Question 9.
Answer: Even
Explanation: 18 is even number and can be shown as 2 equal parts.
Question 10.
Answer: Odd
Explanation: 17 is odd number and cannot be shown as 2 equal parts.
Question 11.
Answer: Odd
Explanation: 19 is odd number and cannot be shown as 2 equal parts.
Question 12.
Answer: Even
Explanation: 20 is even number and can be shown as 2 equal parts.
Question 13.
Number Sense
Circle even or odd to describe each group. Then write each number in the correct group.
Answer: 
Think and Grow: Modeling Real Life
There is an even number of students in your class. There are more than 16 but fewer than 20 students. How many students are in your class?
Answer: 18 Students
Explanation: Between 16 and 20, Even number is 18.
Show how you know:
Show and Grow
Question 14.
There is an odd number of cows in a field. There are more than 13 but fewer than 17 cows. How many cows are in the field?
Answer: 15 cows
Explanation: Between 13 and 17, Odd number is 15.
Question 15.
There are 14 geese on a farm. There are 2 more chickens than geese. Is there an even or odd number of chickens?
Answer: Even
Explanation: There are total 16 Chickens on a farm, which is Even number.
Even and Odd Numbers Home & Practice 1.1
Question 1.
Answer: Odd
Explanation: Total 11 parts, which cannot be shown as 2 equal parts.
Question 2.
Answer: Even
Explanation: Total 10 parts, which can be shown as 2 equal parts.
Color cubes to show the number. Circle even or Odd
Question 3.
Answer: Odd
Explanation: 9 is Odd number which cannot be shown in 2 equal parts.
Question 4.
Answer: Even
Explanation: 14 is Even number which can be shown in 2 equal parts.
Question 5.
Answer: Even
Explanation: 18 is Even number which can be shown in 2 equal parts.
Question 6.
Answer: Odd
Explanation: 15 is Odd number which cannot be shown in 2 equal parts.
Is the number even or odd?
Question 7.
Answer: Even
Explanation: 2 is Even number which can be shown in 2 equal parts.
Question 8.
Answer: Odd
Explanation: 5 is Odd number which cannot be shown in 2 equal parts.
Review & Refresh
Question 9.
DIG DEEPER!
You break apart a linking cube train to make two equal parts. There is 1 cube left over. Is the number of cubes even or odd? Explain.
Answer: Odd
Explanation: There are 5 parts in cube train, when it is broken in 2 equal parts then there is 1 cube left (2+2+1) which is Odd number.
Question 10.
Modeling Real Life
There is an even number of eggs in a nest. There are more than 10 but fewer than 14 eggs. How many eggs are in the nest?
Answer: 12 eggs
Explanation: 12 is even number and also between 10 and 14, 12 is the only even number.
Question 11.
Modeling Real Life
You have 6 green crayons. You have 1 more blue crayon than green crayons. Do you have an even or an odd number of blue crayons?
Answer: Odd
Explanation: Total 7 blue crayon which is Odd number so it cannot be shown in 2 equal parts.
Review & Refresh
Question 12.
6 + 6 = ___
Answer: 12
Explanation: 12 is Even number which can be shown in 2 equal parts.
Question 13.
9 + 9 = ___
Answer: 18
Explanation: 18 is Even number which can be shown in 2 equal parts.
Question 14.
7 + 7 = ___
Answer: 14
Explanation: 14 is Even number which can be shown in 2 equal parts.
Question 15.
8 + 8 = ___
Answer: 16
Explanation: 16 is Even number which can be shown in 2 equal parts.
Lesson 1.2 Model Even and Odd Numbers
Explore and Grow
Use linking cubes to model each sum. Is the sum even or odd?
Answer: Even
Explanation: 4+4=8, 8 is Even number which can be shown in 2 equal parts.
Answer: Odd
Explanation: 5+4=9, 9 is Odd number which cannot be shown in 2 equal parts.
Show and Grow
Question 1.
Answer: Odd
Explanation: 7=4+3, Odd number
Question 2.
Answer: Even
Explanation: 10=5+5, Even number
Question 3.
Answer: Even
Explanation: 14=7+7, Even number
Question 4.
Answer: Odd
Explanation: 17=9+8, Odd number
Question 5.
Answer: Even
Explanation: 18=9+9, Even number
Question 6.
Answer: Odd
Explanation: 13=7+6, Odd number
Question 7.
Answer: Odd
Explanation: 15=8+7, Odd number
Question 8.
Answer: Even
Explanation: 20=10+10, Even number
Question 9.
YOU BE THE TEACHER
Descartes uses doubles plus 1 to model an odd number. Is he correct? Explain.
Answer: Yes
Explanation: 3+4=7, Odd number which cannot be shown as 2 equal parts.
Question 10.
You do 6 sit-ups on Saturday and 7 on Sunday. Do you do an even or odd number of sit-ups in all?
Answer: 
Explanation: 6+7=13, It is an Odd number
Think and Grow: Modeling Real Life
There is an even number of marbles in one bag and an odd number of marbles in another bag. Is there an even or an odd number of marbles in all?
Which equation could match the story?
There is an ___ number of marbles in all.
Answer: Odd
Explanation: 8+7=15, 8 is even and 7 is odd number, in total 15 is Odd number of marbles.
Show and Grow
Question 11.
Two buckets each have an odd number of seashells. Is there an even or an odd number of seashells in all?
Which equation could match the story?
There is an __ number of seashells in all.
Answer: Odd
Explanation: 9+5=14, 9 and 5 are odd numbers which in total 14 is Even number.
Question 12.
DIG DEEPER!
You have an odd number of flowers. You and your friend have an even number of flowers in all. Does your friend have an even or an odd number of flowers?
Your friend has an ___ number of flowers.
Answer: Even
Explanation: Friend has only even number of flowers.
Model Even and Odd Numbers Homework & Practice 1.2
Question 1.
Answer: Even
Explanation: 8=4+4, Even number
Question 2.
Answer: Odd
Explanation: 17=9+8, Odd number
Question 3.
Answer: Odd
Explanation: 9=5+4, Odd number
Question 4.
Answer: Even
Explanation: 16=8+8, Even number
Question 5.
Reasoning
Fill in the blanks using even or odd.
The sum of two even numbers is ___.
Answer: Even
The sum of two odd numbers is ___.
Answer: Even
The sum of an even number and an odd number is __.
Answer: Odd
Question 6.
You do 10 jumping jacks on Saturday and 10 on Sunday. Do you do an even or odd number of jumping jacks in all?
Answer: Even
Explanation: 10+10=20, which is Even number.
Question 7.
Modeling Real Life
You and your friend each have an even number of googly eyes. Do you and your friend have an even or an odd number of googly eyes in all?
Which equation could match the story?
You have an __ number of googly eyes in all.
Answer: 4+6=10
Explanation: 4 and 6 are Even numbers. So totally 10 googly eyes which is even number.
Question 8.
DIG DEEPER!
You hop an even number of times. You and your friend hop an odd number of times in all. Does your friend hop an even or an odd number of times?
Your friend hops an ___ number of times.
Answer: Your Friend hops an Odd number of times.
Explanation: you hop an even and overall odd number, so your friend has odd number of times.
Review & Refresh
Circle the shape that shows equal shares.
Question 9.
Answer: 
Question 10.
Answer: 
Lesson 1.3 Equal Groups
Explore and Grow
Circle groups of two oranges. Complete the sentence.
Answer: 4 groups of 2 is 8.
Show and Grow
Question 1.
Answer: 5 groups of 2
5+5=10
Question 2.
Answer: 2 groups of 3
2+2+2=6
Question 3.
Circle groups of 3. Write a repeated addition equation.
Answer: 5 groups of 3
5+5+5+5+5=25
Apply and Grow: Practice
Question 4.
Circle groups of 5. Write a repeated addition equation.
Answer: 3 groups of 5
5+5=15
Question 5.
Circle groups of 4. Write a repeated addition equation.
Answer: 4 groups of 4
Answer: 4+4+4+4=16
Question 6.
YOU BE THE TEACHER
Newton says he can circle 5 equal groups. Is he correct? Explain.
Answer:
Yes he is correct. Newton can circle 3 groups of 5 parts. So, 3+3+3+3+3=15
Think and Grow: Modeling Real Life
You have 3 boxes. There are 5 pencils in each box. How many pencils are there in all?
Model:
Repeated addition equation:
Answer: 15 pencils in total. 5+5+5=15.
Show and Grow
Question 7.
You have 5 bags. There are 4 notebooks in each bag. How many notebooks are there in all?
Answer: 20 notebooks in total. 5+5+5+5=20.
Question 8.
DIG DEEPER!
There are 4 boxes. Each box has the same number of glue sticks. There are 16 in all. How many glue sticks are in each box?
Answer: There are 4 glue sticks in each box.
Question 9.
Explain how you solved Exercises 7 and 8. What did you do differently?
_______________________________________
_______________________________________
Answer: Adding the number with the given number of times.
Equal Groups Homework & Practice 1.3
Question 1.
Answer: 3 groups of 2
3+3=6
Question 2.
Answer: 4 groups of 3
4+4+4=12
Question 3.
Circle groups of 2. Write a repeated addition equation.
Answer: 4 groups of 2
Answer: 2+2+2+2=8
Question 4.
Structure
Show two different ways to put the buttons in equal groups.
One Way:
Another Way:
Answer: 
Question 5.
Modeling Real Life
You have 3 jars of paint brushes.There are 6 paint brushes in each jar. How many paint brushes are there in all?
Answer: 18 paintbrushes
Explanation: 6+6+6=18
Review & Refresh
Question 6.
How many students chose baseball? ___
Answer: 5 students chose baseball
Which sport is the most favorite? 
Answer: Favorite sport is Soccer
Lesson 1.4 Use Arrays
Explore and Grow
How many equal groups are there? Write an addition equation to tell how many cars there are in all.
Number of equal groups: ___
Answer: 2
Addition equation:
3+3=6
Show and Grow
Question 1.
Answer: 2 rows of 4
4+4=8
Question 2.
Answer: 3 rows of 4
4+4+4=12
Question 3.
Answer: 4 rows of 4
4+4+4+4=16
Apply and Grow: Practice
Question 4.
Answer: 2 rows of 5
5+5=10
Question 5.
Answer: 3 rows of 3
3+3+3=9
Question 6.
Answer: 3 rows of 5
5+5+5=15
Question 7.
Answer: 5 rows of 4
5+5+5+5=20
Question 8.
Logic
Which arrays show the same number of circles?
Answer: Red and Blue circles show the same number.
Think and Grow: Modeling Real Life
The arrays show the desks in two classrooms. Which classroom has more desks?
Repeated addition equations:
Classroom A: 5+5+5+5+5=25
Classroom B: 7+7+7+7=28
Answer: Classroom B has more number of desks.
Show and Grow
Question 9.
The arrays show gardens of green and yellow pepper plants. Are there more green pepper plants or yellow pepper plants?
Answer: Green pepper plants
Explanation: There are 15 Green pepper plants and 12 Yellow pepper plants.
Use Arrays Homework & Practice 1.4
Question 1.
Answer: 3 rows of 2
2+2+2=6
Question 2.
Answer: 2 rows of 2
2+2=4
Question 3.
Answer: 1 rows of 1
1+1+1+1=4
Question 4.
Answer: 3 rows of 6
6+6+6= 18
Question 5.
Number Sense
Use the array to complete the equation.
Answer: 6+6=12
Question 6.
Modeling Real Life
The arrays show toy cars. Are there more orange cars or blue cars?
Answer: Orange cars
Explanation: There are 16 orange cars and 15 blue cars.
Question 7.
DIG DEEPER!
The arrays show a sheet of stickers separated into two pieces. How many rows and columns of stickers did the sheet have before it was separated?
Answer: 5 rows and 5 columns
Review & Refresh
Question 8.
Answer: 6 flat surfaces
8 vertices
12 edges
Question 9.
Answer: 0 flat surfaces
0 vertices
0 edges
Lesson 1.5 Make Arrays
Explore and Grow
Use counters to model the story. Write an addition equation to match.
There are 4 rows of students. There are 3 students in each row. How many students are there in all?
Addition equation:
Answer: 12 students
Explanation: 3+3+3+3=12 students.
Show and Grow
Question 1.
A photo album has 3 rows of photos. There are 2 photos in each row. How many photos are there in all?
Answer: 6 photos
Explanation: 2+2+2=6
Question 2.
You have 4 rows of stickers. There are 5 stickers in each row. How many stickers do you have in all?
Answer: 20 stickers
Explanation: 5+5+5+5=20
Apply and Grow: Practice
Question 3.
An ice cube tray has 5 rows. There are 2 ice cubes in each row. How many ice cubes are there in all?
Answer: 10 ice cubes
Explanation: 2+2+2+2+2=10
Question 4.
A bookcase has 3 shelves. There are 5 stuffed animals on each shelf. How many stuffed animals are there in all?
Answer: 15 stuffed animals
Explanation: 5+5+5=15 stuffed animals
Question 5.
A closet has 4 shelves. There are 2 games on each shelf. How many games are there in all?
Answer: 8 games
Explanation: 2+2+2+2=8
Question 6.
Structure
Make an array to match the equation.
5 + 5 + 5 + 5 = 20
Answer: 
Think and Grow: Modeling Real Life
A marching band has 3 equal rows of drummers. There are 15 drummers in all. How many drummers are in each row?
Model:
Repeated addition equation:
Answer: 5 Drummers
Explanation: 5+5+5=15
Show and Grow
Question 7.
A quilt has 4 equal rows of patches. There are 24 patches in all. How many patches are in each row?
Answer: 6 patches
Explanation: 6+6+6+6=24
Question 8.
A building has 3 equal rows of windows. There are 18 windows in all. How many columns are there?
Answer: 6 columns
Explanation: 3+3+3+3+3+3=18
Make Arrays Homework & Practice 1.5
Question 1.
A parking lot has 3 rows. There are 5 parking spots in each row. How many parking spots are there in all?
Answer: 15 parking spots
Explanation: 5+5+5=15
Question 2.
A bookcase has 4 shelves. There are 3 books on each shelf. How many books are there in all?
Answer: 12 books
Explanation: 3+3+3+3=12
Question 3.
Reasoning
Newton has 10 tokens. Which equations can Newton use to make an array with his tokens?
Answer: 2+2+2+2+2=10 and 5+5=10
Question 4.
Modeling Real Life
A theater has 4 equal rows of seats. There are 16 seats in all. How many seats are in each row?
Answer: 4 seats
Explanation: 4+4+4+4=16
Question 5.
Modeling Real Life
A chorus has 5 equal rows of singers. There are 30 singers in all. How many singers are in each row?
Answer: 6 singers
Explanation: 6+6+6+6+6=30
Review & Refresh
Question 6.
There are 9 lions in all. How many lions are in the den?
Answer: 0 lions are in den.
Explanation: All 9 lions are outside the den. Therefore, 0 lions are in the den.
Numbers and Arrays Performance Task
Question 1.
Your art supplies are packaged in boxes as described below.
a. What do you have the most of ?
Answer: 16 Crayons
Explanation: Colored Pencils= 5+5+5=15
Markers= 7+7=14
Crayons= 4+4+4+4=16
Crayons are more than Colored Pencils and Markers.
b. Do you have an even or an odd number of markers?
Answer: Even number of markers
Question 2.
a. You have 5 equal rows of paint bottles. You have 20 paint bottles in all. How many paint bottles are in each row?
Answer: 4 paint bottles are in each row.
b. You add another row of paint bottles. How many paint bottles do you have now?
Answer: 24 paint bottles
c. Describe another way to arrange the paint bottles you have now.
Answer: 6+6+6+6=24 paint bottles
Numbers and Arrays Activity
Array Flip and Find
To Play: Place the Array Flip and Find Cards face down in the boxes. Take turns flipping two cards. If your cards show the same total, keep the cards. If your cards show different totals, flip the cards back over. Play until all matches are made.
Numbers and Arrays Chapter Practice
1.1 Even and Odd Numbers
Question 1.
Answer: Odd number
Explanation: 5 cube part
Question 2.
Answer: Even number
Explanation: 14 cube part
Color cubes to show the number. Circle even or odd.
Question 3.
Answer:
Question 4.
Answer:
Question 5.
Modeling Real Life
You see an odd number of boats. There are more than 15 but fewer than 19 boats. How many boats do you see?
Show how you know:
Answer: 17 boats
Explanation: Between 15 and 19 there is Odd number 17.
1.2 Model Even and Odd Numbers
Question 6.
Answer: 9=5+4
Question 7.
Answer: 18=9+9
Question 8.
Answer: 10=5+5
Question 9.
Answer: 7+6=13
1.3 Equal Groups
Question 10.
Answer: 4 groups of 2
Answer: 4+4=8
Question 11.
Circle groups of 3. Write a repeated addition equation.
Answer: 4 groups of 3
Answer: 3+3+3+3=12
Question 12.
Structure
Show two different ways to put the balls in equal groups.
One Way:
Another Way:
Answer: 
1.4 Use Arrays
Question 13.
Answer: 3 rows of 2
Answer: 2+2+2=6
Question 14.
Answer: 2 rows of 4
Answer: 4+4=8
Question 15.
Answer: 5 rows of 3
Answer: 3+3+3+3+3=15
Question 16.
Answer: 4 rows of 5
Answer: 5+5+5+5=20
1.5 Make Arrays
Question 17.
A cupboard has 4 shelves. There are 3 glasses on each shelf. How many glasses are there in all?
Answer: 12 glasses
Answer: 3+3+3+3=12
Question 18.
A bingo card has 5 rows. There are 5 squares in each row. How many squares are there in all?
Answer: 25 squares
Answer: 5+5+5+5+5=25
Question 19.
Modeling Real Life
A pet store has 5 equal rows of fish tanks. There are 20 fish tanks in all. How many fish tanks are in each row?
Answer: 4 fish tanks
Explanation: 4+4+4+4+4=20
Conclusion:
We wish the info prevailed in Big Ideas Math Answers Grade 2 Chapter 1 Numbers and Arrays is satisfactory for all the students. This Big Ideas Math Answers Grade 2 Chapter 1 Numbers and Arrays pdf not only helps the students but also helps the teachers to learn the simple techniques. Compare the problems with the real-time and improve your math skills. For any doubts feel free to post the comments in the below-mentioned comment box.