Comparisons
Multi-Step
Models
Error Analysis
Variables
100

What number is 12 more than 20?

12+20=x=32

100

Sara lives 2 blocks from the laundromat. She lives 7 times father from school than the laundromat. How many blocks does she walk to get to school and back home each day?

7*2=14 blocks one way

14*2= 28 blocks going and coming back

100

What equation does the model show?

18+25=43

43-18=25

43-25=18

100

Noor was asked to find the answer to 10 times as many as 5. Look at their work below. What error did they make?

10/5=2, so 10 times as many as 5 is 2.

Noor did the wrong operation. They should have 10*5=50

100

Which of the following is an example of a variable?

Quinn

w

18

w is a variable

200

What is 4 times as many as 8?

4*8=x=32

200

Flora works 6 days a week and 8 hours per day. How many hours does she work in 2 week?

6*8=48 hours each week

48*2= 96 hours in 2 weeks

200

What equation does this model show?

36/3=p=12

200

There are 195 countries in the world and 44 of them are in Europe while 54 are in Africa. How many more countries are in Africa than Europe?

Look at Tamara's work and find the error:

44+54=99

195-99=94

There are 94 more countries.

The question asks for the different between the number of countries in Africa and Europe. Tamara compared the countries in Africa and Europe to the whole world. 

200

When do mathematicians use a variable in an equation?

Variables are used when there is an unknown number.

300

Bob is three times as old as his brother. Bob is 9 years old. How old is his brother?

9/3=x=3 years old

300

Becky can bake 9 large blueberry muffins and 15 small blueberry muffins at once. If she makes a dozen (12) of each version, what is the different between the amount of large and small muffins?

Large: 9*12=108

Small: 15*12=180

180-108=72 muffins

300

Draw a model that matches the phrase: 6 times as many as 12 is 72.

6*12=72

300

Chidi drew 75 anime characters last year. Linger drew fiver times as many. How many anime characters did Linger draw?

Look a Bobby's work and find the error:

75/5

5*?=75

5*15=75

Linger drew 15 characters. 

Linger drew 5 times more than Chidi so he should've multiplied, not divide.

300

Write an equation to represent the product of 16 and 8

16*8=x=128

400

Will wrote an essay that had twice the number of words as Mia's essay. Mia's essay was 376 words. How many words were in Will's essay?

376*2=x=752 words

400

Dawn uses a vacuum cleaner with a vacuum cord that is 15 ft long. She has an extension cord that is 32 feet long. If she needs to reach a three times as far away as the vacuum cord, will the extension cord be long enough?

Distance needed: 15*3=45ft

Distance she has: 15+32=47ft

Yes, it will be long enough since 47ft>45ft.

400

Asher is a DJ who remixes songs. It takes him 126 times as long to remix a song as the length of the original track. How long would it take him to remix a song that is 3 minutes long?

Draw a model to represent this problem.

3*126=378 minutes

400

Ilya is buying new jeans. The store brand costs $21 while the designer brand costs $126. How many times more expensive are the designer jeans than the store brand?

Find the error in the work below:

21+21=42

42+21=63

63+21=84

84+21=105

105+21=126

I added 21 five times so the designer jeans are 5 times more expensive

The work is correct in the beginning but the student doesn't count all the 21's. There are six 21's being added so it should be 6 times more expensive.

400

Eloise eats goldfish for snack each day. The snack bags usually contain 23 goldfish. How many goldfish, g, does Eloise eat in a school week?

23*5=g=115 goldfish

500

Tiger usually eats 19 grams of cat food per meal. Sometimes, Tiger gets 57 grams of tuna as a treat. How many times more tuna than dry food does Tiger eat?

19 * ? = 57

19*3=57

Answer: 3 times more tuna

500
Gavin can paint 32 square feet of wall in an hour. He is painting a room with 2 walls that are 12ft by 15ft and two walls that are 12ft by 17 ft. Can he paint the whole room in 24 hours?

Wall A: 12*15=180 sq ft

180*2=360 sq ft

Wall B: 12*17=204 sq ft

204*2=48 sq ftt

408+360=768 sq ft to paint

24*32=768 sq ft in 24 hours.

Yes, he can paint it in 24 hours

500

Cass lives in an apartment on the fifth floor. He walks down 5 flights of stairs in the morning and up 5 flights of stairs after work. Each flight has 35 stairs. 

Draw a model to show the number of stairs Cass walks in one day.

35*5=175 down

35*5=135 up

175+175=350 stairs in one day

500

Poul Non Sos takes 12 hours to marinate and another 1 hour 30 minutes to cook. How many times longer does it take to marinate than cook?

Look at the work below and find the error:

1hr 30min = 60min + 30min = 90min

12hrs = 12*60 = 720min

720-90=630 minutes or 10hrs 30min

The student calculated how much longer instead of how many times longer. The minutes are calculated correctly but the end should be 90*?=720min

500

Marshall planted 450 corn plants in an unknown number of rows, r. There were 90 plants in each row. What number does r represent?

450/90=r

90*r=450

r=5

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