Number Sentences

Grade 6

6PA2

Student workbook

Name: ______________________________

Grade 6: __________________

Teacher: ______________________________

Name Teacher PATTERNS AND ALGEBRA

Number Sentences

WE  ARE  LEARNING  TO… LO Level I can Date

6PA2.1

E Solve Number Sentences with one +,−,×,÷

D …  and  with  more  than  one  +,−,×,÷

M …  and  create

6PA2.2

E Create and solve a Number Sentence from a word problem with one +,−,×,÷

D …  and  with  more  than  one  +,−,×,÷ M …  and  give  the  answer  in  context

6PA2.3 E Match word problems to Number Sentences

with one +,−,×,÷

D …  and  create  word  problems   M …  and  with  more  than  one  +,−,×,÷

6PA2.4 E Solve simple problems using visual methods D …  and  with  two  +,−,×,÷ M …  and  describe  

I  am  good  at…

I  need  to  get  better  at…

what is anumber

sentence?

Definitions Characteristics

Examples Non-Examples

Grade 6- 6PA2Name: Date:

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Examples of addition word problems

Example. Jenny has 7 marbles and Kenny has 5. How

many do they have together?

“Together” tells us that ADDITION is probably the

operation needed.

Jenny's marbles + Kenny's marbles = Total marbles

From this general relationship between the quantities it is

easy to write an equation for the problem, which solves it:

Relationship: Jenny's marbles + Kenny's

marbles = Total marbles

Equation: 7 + 5 = _____

I wrote ____ in the place of total marbles since that is what

the problem is asking for (the unknown).

Examples of subtraction word problems Example: Ted read 17 pages today, and Fred read 28. How many more pages did Fred read?

The  solution  is  of  course  28  −  17  =  11,  but  it's  not  enough  to  

simply announce that – children need also to understand that difference is the result of a subtraction and tells the answer to how many more.

Relationship: Pages Fred read − pages Ted

read = difference

Equation: 28 − 17 = __

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.

Can you think of an addition word problem??

Can you think of a subtraction word problem??

Word problems

and number

sentences

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 58 = 435 ? 377 58 = 6.5 ? 377 58 = 319 ? 377 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. 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 21 = 40 ? 72 29 = 43 ? 80 6 = 480 ? 28 2 = 14

90p 90p 90p 90p

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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 ____________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________

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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 ____________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________

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.

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?

Draw a strip diagram to represent each problem.

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?

Name __________________ Date _______________

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?

$18

$5 $5 $5 B

B

$5 $5 $5 $18

B

$18 $18 $18 $18

$18

$5 $5 $5

B

A

B

C

D

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?

K

$20 $20 $65

$65

$20 $20 K

$65

$20 $20 K

$105

$20 $20 $65 K A

B

C

D

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

100 30 23 23

A

B

C

D

100

M 30 23 23

100

M 30 23 23

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

B

C

D

A

12 42

42

12 A

42

12 A

12

42 A