Number Sentences
Grade 6
6PA2
Student workbook
Name: ______________________________
Grade 6: __________________
Teacher: ______________________________
Name
Teacher
PATTERNS AND ALGEBRA
Number Sentences
WE ARE LEARNING TO…
LO
Level
6PA2.1
E
D
M
E
6PA2.2
D
M
E
6PA2.3
6PA2.4
D
M
E
D
M
I can
Solve Number Sentences with one +, −,×,÷
… and with more than one +, −,×,÷
… and create
Create and solve a Number Sentence from a
word problem with one +, −,×,÷
… and with more than one +, −,×,÷
… and give the answer in context
Match word problems to Number Sentences
with one +, −,×,÷
… and create word problems … and with more than one +, −,×,÷
Solve simple problems using visual methods
… and with two +, −,×,÷
… and describe I am good at…
I need to get better at…
Date
Grade 6- 6PA2
Name:
Date:
Definitions
Characteristics
what is a
number
sentence?
Examples
Non-Examples
Copyright ©2015 WorksheetWorks.com
Examples of subtraction word problems
Examples of addition word problems
Example. Jenny has 7 marbles and Kenny has 5. How
Example: Ted read 17 pages today, and Fred read 28.
How many more pages did Fred read?
many do they have together?
The solution is of course 28 − 17 = 11, but it's not enough to “Together” tells us that ADDITION is probably the
simply announce that – children need also to understand
operation needed.
that difference is the result of a subtraction and tells the
answer to how many more.
Jenny's marbles
+
Kenny's marbles = Total marbles
Relationship:
From this general relationship between the quantities it is
easy to write an equation for the problem, which solves it:
Relationship:
Equation:
Jenny's
marbles
+
Kenny's
marbles
=
7
+
5
=
Total
marbles
_____
I wrote ____ in the place of total marbles since that is what
the problem is asking for (the unknown).
Equation:
Pages Fred
read
28
−
−
pages Ted
read
17
= difference
=
__
Example: Greg has 17 more marbles than Jack. Jack has
15. How many does Greg have?
Here the word more has a different meaning. This
problem is not about the difference. The question asks
how many does Greg have – not what is
the difference in the amounts of marbles. It simply
states Greg has 17 more compared to Jack, so here the
word more simply indicates addition: Greg has as many
as Jack AND 17 more, so Greg has 15 + 17 marbles.
Word problems
and number
sentences
Can you think of an addition word problem??
Can you think of a subtraction word problem??
Answers
1
2
3
4
5
6
7
8
9
10
WALT: Make number stories to represent sums.
You are writing a book on word problems. You have the sums but
you now need to make sentences to go with them.
Example:
Sum;
6.83 x 27 = 184.41
Sentence; 27 CDs at £6.83 each will cost £184.41
Now your turn: (tip; don’t always use CD’s!)
143.5 + 32.45 = 175.95
57.2 – 2.56 = 54.64
448.91 ÷ 53 = 8.47
377 x 58 = 21,866
26 x 3.5 = 91
689 ÷ 137.8 = 5
Maths Challenge
Can you work out which operation (+, – , ÷, x) is missing from
each sum?
?
?
?
?
377
377
377
377
58 = 435
58 = 6.5
58 = 319
58 = 21,866
WALT: Make number stories to represent sums.
You are writing a book on word problems. You have the sums but
you now need to make sentences to go with them.
Example:
Sum;
564 ÷ 8 = 70.5
Sentence; If you cut 8 equal pieces from 564mm of string, each
piece will be 70.5 mm long.
Now your turn: (tip; don’t always use string!)
1435 + 3245 = 4680
38.7 x 24 = 928.8
572 – 25 = 547
25.3 x 84 = 2125.2
26 x 3.5 = 91
689 ÷ 137.8 = 5
Maths Challenge
Can you work out which operation (+, – , ÷, x) is missing from
each sum?
?
?
?
?
319
274 = 593
18 6 = 108
572 291 = 281
228 38 = 6
WALT: Make number stories to represent sums.
You are writing a book on word problems. You have the sums but
you now need to make sentences to go with them.
Example:
Sum;
90 x 4 = 360
Sentence; Four portions of fries at 90p each would cost £3.60 or
360p.
90p
90p
90p
Now your turn: (tip; don’t always use fries!)
435 + 245 = 680
72 – 25 = 47
93 ÷ 3 = 31
23 x 4 = 92
532 + 247 = 779
Maths Challenge
Can you work out which operation (+, – , ÷, x) is missing from
each sum?
?
?
?
?
19
72
80
28
21 = 40
29 = 43
6 = 480
2 = 14
90p
Name: ______________________________
Problem Solving: Cookies
Strategy: Write a number sentence to solve the problem.
Problem: Matthew has four chocolate chip cookies. His friend Jake has 7
sugar cookies. How many cookies do the boys have altogether?
Step 1: Circle the math words.
Step 2: Ask yourself: Do I understand the problem?
Step 3: Solve the problem using numbers, words and pictures below.
Step 4: My answer is ____________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
www.thecurriculumcorner.com
Name: ______________________________
Problem Solving: Beads for a Bracelet
Strategy: Write a number sentence to solve the problem.
Problem: Carla and Brianna use beads to make fancy bracelets. Carla
has 98 beads leftover in her bead box. Brianna only has 73 left in her box.
How many fewer beads does Brianna have than Carla?
Step 1: Circle the math words.
Step 2: Ask yourself: Do I understand the problem?
Step 3: Solve the problem using numbers, words and pictures below.
Step 4: My answer is ____________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
_____________________________________________________
www.thecurriculumcorner.com
Using number sentences to create word problems.
Instructions:
Use the number sentences below to create word problems.
1
2
3
4
5
6
7
8
9
10
Using number sentences to write word problems.
Write a word problem to match the number sentence
1. 5 + 2 x ∆= 21
2. ∆ ÷ 2 – 5 = 15
3. 3 x ∆ -1 = 17
4. ∆ ÷ 3 + 4 = 9
5. 6 x ∆ + 5 = 10
6. ∆ ÷ 3 + 4 = 25
There are 48 monolingual fourth graders at Ruth
Barron Elementary. Half of those students are
boys. How many are girls? Draw a strip diagram
representing the problem.
Ms. Dower spent $105 at two stores. She
spent $65 at the first store. What did she
spend at the second store? Draw a strip
diagram for this problem.
Joshua is separating his worksheets into three
categories. Writing, Math, and Reading. He has
423 worksheets. He has an equal number of
writing and math worksheets and he has 123
reading worksheets. Draw a strip diagram
representing the problem.
Sophia and Donovan go out to lunch. They each
have 1 cheeseburger and a Coke. They spent a
total of $25 on lunch. The cheese burgers cost 10
dollars each. What was the cost of the Cokes?
Draw a strip diagram representing the problem.
Jonas bought eight packs of gum. Each pack has
12 pieces of gum. How many pieces of gum does
he have total?Draw a strip diagram representing
the problem.
Serenity has a weight of 10 pounds in her
backpack. Her math book is 3.5 pounds. Her
writing book is 2.7 pounds. What is the weight of
the rest of the things in her backpack? Draw a
strip diagram representing the problem.
Draw a strip diagram showing the relationship
between inches and one foot.
Name __________________
Date _______________
Draw a strip diagram to represent each problem.
Javier has 37 magnets. He gives 14 magnets to his friend. How many does he have left?
Genece went to the grocery store and bought 6 cartons of eggs. Each cartoon had 12
eggs. How many eggs did she have total?
Brandon goes to bought a bag of cat food. The bag has 648 ounces of food. How
many cups are in one bag?
Bryon spends $23.91 at the bookstore. Then he spends $42.35 at the comic book
store. How much did he spend in all?
Mr. Del Bosque paid a total of $18 for 3 large burgers and 1 small burger. Each
large burger cost $5.Which diagram best represents the situation where B is
the cost of the small burger?
A
B
C
D
$18
$5
$5
$5
B
$5
$18
B
$5
$5
B
$18
$18
$18
$18
$18
$5
$5
$
5
B
Antonio, Marquez, and Keturah have $65 in all. Antonio has $20. Marques has
$20. Which diagram represents the situation where K is the amount of money
that Keturah has?
A
$105
$20
$20
B
C
D
$65
K
$65
$20
$20
K
K
$20
$20
$65
$65
$20
$20
K
Four students run 100 meters. Two students ran 23 meters. One student ran
30 meters. Which diagram represents the situation where M is the amount of
meters that the fourth student ran?
M
A
B
30
23
23
23
100
M
C
D
23
30
M
100
30
23
23
100
M
30
23
23
Kennedy has 12 apples. Together, she and Arianna have 42 apples. Which
diagram best represents the situation where A is the amount of apples that
Arianna has?
A
A
12
B
C
D
42
42
12
A
42
12
A
12
42
A