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## Big Ideas Math Book 2nd Grade Answer Key Chapter 1 Numbers and Arrays

Apply the math to real-time examples by learning the tricks using Big Ideas Math Answers Grade 2 Chapter 1 Numbers and Arrays. The quick way of solving math problems will help the students to save time. So, we suggest the students practice more questions which helps them to score good marks in the exams. If you want the best way of learning then you must use Big Ideas Math Grade 2 Chapter 1 Numbers and Arrays Answer Key.

**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.

**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.

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 10.

### 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.

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:**

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

**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 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.

Question 7.

Question 8.

Question 9.

**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.