Skip Count on a Number Line
Name
6.2
?
Number and Operations—3.4.E, 3.4.K MATHEMATICAL PROCESSES 3.1.E, 3.1.G
Skip Count on a Number Line
Essential Question
How can you use a number line to skip count and find how many in all?
Unlock Unlock the the Problem Problem Caleb wants to make 3 balls of yarn for his cat to play with. He uses 6 feet of yarn to make each ball. How many feet of yarn does Caleb need in all?
• How many equal groups of yarn will Caleb make?
• How many feet of yarn will be in each group?
Use a number line to count equal groups.
How many feet of yarn does Caleb
• What do you need to find?
need for each ball? __ How many equal lengths of yarn does he need? __ Begin at 0. Skip count by 6s by drawing jumps on the number line.
' ( ) * + , - . / 0 (' (( () (* (+ (, (- (. (/ (0 )'
How many jumps did you make? __ How long is each jump? __ Multiply.
3 × 6 = __
Math Talk Mathematical Processes
© Houghton Mifflin Harcourt Publishing Company
So, Caleb needs __ feet of yarn in all. •
Why did you jump by 6s on the number line?
What if Caleb made 4 balls of yarn with 5 feet of yarn in each ball? What would you do differently to find the total number of feet of yarn?
Module 6
179
Share Share and and Show Show Skip count by drawing jumps on the number line. Find how many in 5 jumps of 4. Then write the product.
1.
Think: 1 jump of 4 shows 1 group of 4.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
5×4=_ Draw jumps on the number line to show equal groups. Find the product. 2. 3 groups of 8
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
3×8=_ 8 groups of 3
3.
0
1
2
3
4
8×3=_ Write the multiplication sentence the number line shows.
0
1
2
3
4
5
6
7
_×_=_
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Math Talk Mathematical Processes
How do equal jumps on the number line show equal groups?
180
© Houghton Mifflin Harcourt Publishing Company
4.
Name
Problem Problem Solving Solving 5.
Multi-Step Erin displays her toy cat collection on 3 shelves. She puts 8 cats on each shelf. If she collects 3 more cats, how many cats will she have?
6.
Write two multiplication sentences that have a product of 12. Draw jumps on the number line to show the multiplication. Write Math
Show Your Work
0 1 2 3 4 5 6 7 8 9 10 11 12
_×_=_
0 1 2 3 4 5 6 7 8 9 10 11 12
© Houghton Mifflin Harcourt Publishing Company
_×_=_ 7.
Evaluate Sam, Kyra, Tia, and Abigail each have 10 pennies. How many pennies do they have in all?
8.
Pose a Problem Write a problem that can be solved by finding 8 groups of 5. Write a multiplication sentence to solve the problem. Then solve.
Module 6 • Lesson 2
181
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble for the correct answer choice. Representations Eddie bought snacks for a picnic. He has 3 bags of snacks. Each bag has 4 snacks. How many snacks does Eddie have in all? 0 1
10.
A
7
C
12
B
16
D
8
Representations A cook has 3 boxes of eggs. Each box holds 6 eggs. Which number sentence can be used to find the number of eggs the cook has? 0 1
11.
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
A
3+6=9
C
3×3=9
B
3+3=6
D
3 × 6 = 18
Multi-Step Ashley digs 7 holes. She puts 2 seeds in each hole. She has 3 seeds left over. How many seeds are there in all? 0 1
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
A
12
C
17
B
23
D
14
TEXAS Test Prep 12.
182
Brooke needs 4 lengths of string, each 2 inches long. How much string does she need altogether? A
6 inches
C
2 inches
B
4 inches
D
8 inches
© Houghton Mifflin Harcourt Publishing Company
9.
Number and Operations—3.4.E, 3.4.K MATHEMATICAL PROCESSES 3.1.E, 3.1.G
H o mewo rk and Practice
6.2
Name
Skip Count on a Number Line
Draw jumps on the number line to show equal groups. Find the product. 1.
4 groups of 6
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
4×6=_ Write the multiplication sentence the number line shows. 2.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
_×_=_ 3.
Write two multiplication sentences that have a product of 16. Draw jumps on the number line to show the multiplication.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
_×_=_
_×_=_
© Houghton Mifflin Harcourt Publishing Company
Problem Problem Solving Solving 4.
Hannah, Steven, and Nicole each have 9 books. How many books do they have in all?
5.
Kyle has 6 crayons in 3 boxes. If he adds another crayon to each box, how many crayons will Kyle have?
Module 6 • Lesson 2 183
TEXAS Test Prep
Lesson Lesson Check Check In Mr. Gupta’s classroom, there are 4 rows of desks. Each row has 6 desks. How many desks are in Mr. Gupta’s classroom?
6.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
A
10
C
24
B
18
D
21
Matt wants to make 5 puppets. He needs 3 buttons for each puppet. Which number sentence can Matt use to find the number of buttons he needs?
7.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
A
5+3=8
C
3×3=9
B
5 × 5 = 25
D
5 × 3 = 15
Ichiro builds 3 birdhouses. He uses 6 pieces of wood for each birdhouse. How many pieces of wood does Ichiro use? 0
9.
184
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
A
9
C
15
B
18
D
24
Multi-Step A band marches in rows of 5. Each row has 6 people. There are 4 people who carry flags. How many people are in the marching band? A
15
B
24
C
34
D
30
10.
Multi-Step Carla puts 8 pictures on each page of a photo album. She fills 3 pages. She has 5 pictures left. How many pictures does she have? A
24
B
15
C
15
D
29
© Houghton Mifflin Harcourt Publishing Company
8.
6.2
?
Number and Operations—3.4.E, 3.4.K MATHEMATICAL PROCESSES 3.1.E, 3.1.G
Skip Count on a Number Line
Essential Question
How can you use a number line to skip count and find how many in all?
Unlock Unlock the the Problem Problem Caleb wants to make 3 balls of yarn for his cat to play with. He uses 6 feet of yarn to make each ball. How many feet of yarn does Caleb need in all?
• How many equal groups of yarn will Caleb make?
• How many feet of yarn will be in each group?
Use a number line to count equal groups.
How many feet of yarn does Caleb
• What do you need to find?
need for each ball? __ How many equal lengths of yarn does he need? __ Begin at 0. Skip count by 6s by drawing jumps on the number line.
' ( ) * + , - . / 0 (' (( () (* (+ (, (- (. (/ (0 )'
How many jumps did you make? __ How long is each jump? __ Multiply.
3 × 6 = __
Math Talk Mathematical Processes
© Houghton Mifflin Harcourt Publishing Company
So, Caleb needs __ feet of yarn in all. •
Why did you jump by 6s on the number line?
What if Caleb made 4 balls of yarn with 5 feet of yarn in each ball? What would you do differently to find the total number of feet of yarn?
Module 6
179
Share Share and and Show Show Skip count by drawing jumps on the number line. Find how many in 5 jumps of 4. Then write the product.
1.
Think: 1 jump of 4 shows 1 group of 4.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
5×4=_ Draw jumps on the number line to show equal groups. Find the product. 2. 3 groups of 8
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
3×8=_ 8 groups of 3
3.
0
1
2
3
4
8×3=_ Write the multiplication sentence the number line shows.
0
1
2
3
4
5
6
7
_×_=_
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Math Talk Mathematical Processes
How do equal jumps on the number line show equal groups?
180
© Houghton Mifflin Harcourt Publishing Company
4.
Name
Problem Problem Solving Solving 5.
Multi-Step Erin displays her toy cat collection on 3 shelves. She puts 8 cats on each shelf. If she collects 3 more cats, how many cats will she have?
6.
Write two multiplication sentences that have a product of 12. Draw jumps on the number line to show the multiplication. Write Math
Show Your Work
0 1 2 3 4 5 6 7 8 9 10 11 12
_×_=_
0 1 2 3 4 5 6 7 8 9 10 11 12
© Houghton Mifflin Harcourt Publishing Company
_×_=_ 7.
Evaluate Sam, Kyra, Tia, and Abigail each have 10 pennies. How many pennies do they have in all?
8.
Pose a Problem Write a problem that can be solved by finding 8 groups of 5. Write a multiplication sentence to solve the problem. Then solve.
Module 6 • Lesson 2
181
Mathematical Processes M Model ¥ Reason ¥ Communicate M
Daily Daily Assessment Assessment Task Task Fill in the bubble for the correct answer choice. Representations Eddie bought snacks for a picnic. He has 3 bags of snacks. Each bag has 4 snacks. How many snacks does Eddie have in all? 0 1
10.
A
7
C
12
B
16
D
8
Representations A cook has 3 boxes of eggs. Each box holds 6 eggs. Which number sentence can be used to find the number of eggs the cook has? 0 1
11.
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
A
3+6=9
C
3×3=9
B
3+3=6
D
3 × 6 = 18
Multi-Step Ashley digs 7 holes. She puts 2 seeds in each hole. She has 3 seeds left over. How many seeds are there in all? 0 1
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
A
12
C
17
B
23
D
14
TEXAS Test Prep 12.
182
Brooke needs 4 lengths of string, each 2 inches long. How much string does she need altogether? A
6 inches
C
2 inches
B
4 inches
D
8 inches
© Houghton Mifflin Harcourt Publishing Company
9.
Number and Operations—3.4.E, 3.4.K MATHEMATICAL PROCESSES 3.1.E, 3.1.G
H o mewo rk and Practice
6.2
Name
Skip Count on a Number Line
Draw jumps on the number line to show equal groups. Find the product. 1.
4 groups of 6
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
4×6=_ Write the multiplication sentence the number line shows. 2.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
_×_=_ 3.
Write two multiplication sentences that have a product of 16. Draw jumps on the number line to show the multiplication.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
_×_=_
_×_=_
© Houghton Mifflin Harcourt Publishing Company
Problem Problem Solving Solving 4.
Hannah, Steven, and Nicole each have 9 books. How many books do they have in all?
5.
Kyle has 6 crayons in 3 boxes. If he adds another crayon to each box, how many crayons will Kyle have?
Module 6 • Lesson 2 183
TEXAS Test Prep
Lesson Lesson Check Check In Mr. Gupta’s classroom, there are 4 rows of desks. Each row has 6 desks. How many desks are in Mr. Gupta’s classroom?
6.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
A
10
C
24
B
18
D
21
Matt wants to make 5 puppets. He needs 3 buttons for each puppet. Which number sentence can Matt use to find the number of buttons he needs?
7.
0
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
A
5+3=8
C
3×3=9
B
5 × 5 = 25
D
5 × 3 = 15
Ichiro builds 3 birdhouses. He uses 6 pieces of wood for each birdhouse. How many pieces of wood does Ichiro use? 0
9.
184
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
A
9
C
15
B
18
D
24
Multi-Step A band marches in rows of 5. Each row has 6 people. There are 4 people who carry flags. How many people are in the marching band? A
15
B
24
C
34
D
30
10.
Multi-Step Carla puts 8 pictures on each page of a photo album. She fills 3 pages. She has 5 pictures left. How many pictures does she have? A
24
B
15
C
15
D
29
© Houghton Mifflin Harcourt Publishing Company
8.
