Math 180 Block 3

Modeling/ Use Multiplication

100

Represent the problem with an array (using squares) 15 divided by 3

Model with Three squares in each row There should be a total of 5 rows. X X X X X X X X X X X X X X X (Here is a sample of what you could have drawn)

200

Use an array to model the following: 16 divided by 4

4 in each row, with a total of 4 rows. Here is an example of a possible answer: X X X X X X X X X X X X X X X X

300

Write a multiplication equation to find the answer to the following division problem. 30 divided by 5

30 Divided by 5 would have a multiplication equation of 5 x ___ = 30 Solution: 5 x 6 = 30

400

Write a multiplication equation to find the answer to the following division problem. 42 divided by 7

42 divided by 7 would be presented this way: 7 x ____ = 42 7 x 6 = 42 6 is the solution.

500

Write a multiplication equation to find the answer to the following division problem. 27 divided by 9

27 divided by 9 would be the following as a multiplication problem: 9 x ___ = 27 Solution: 3

Problem Solving

100

Solve the following equal groups problem: A fire department receives 39 helmets. Each of its firefighting teams gets 7 helmets. How many helmets are left over ?

Model one bar with 5 blocks and extra block different size (smaller) One block equals 7 helmets for 1 team We have a total of 39 helmets. I know 5 x 7=35 and 6x7=42 So 39 divided by 7 would equal 5 with a remainder of 4 We would have 4 helmets left over.

200

Solve the following Equal Groups problem: Rachel gets $11 for every hour that she walks and feeds a dog. She is also paid a tip on her total wage. If she earned a total of $85, how much was her tip ?

represent model with 7 blocks and a smaller extra block. one blocks is $11 per hour. All blocks total $85. I know 7 x 11 = 77 8 x 11 = 88 (too high) When I divide 85 by 11, I will get 7 with a remainder of 8. 7 represents the number of hours worked and the remainder of 8 would represent the tip. Her tip was $8

300

I want to classify the following numbers: 7,10,12,14,24,28,36,42 Into two groups: A: Numbers divisible by 6 B: Numbers divisible by 7 *note any numbers that do not belong to either group REMEMBER ONLY use the numbers listed above.

Group A: Numbers divisible by 6 12, 24, 36 Group B: Numbers divisible by 7 7,14,28 Numbers divisible by 6 and 7: 42 Numbers NOT divisible by 6 or 7: 10

400

Solve the following compare problem: There are 4 times as many girls as boys in a volunteer program. The program has 180 girls. How many MORE girls than boys are there ?

Model with girls having 4 blocks. We know the total of the 4 blocks is equal to 180. Model with boys having 1 block. Find out what one block represents by dividing 180 by the 4 blocks for girls. 180 divided by 4 = 45 One block = 45 Difference for how many MORE Girls than Boys is THREE blocks. So if I take 3 blocks x 45 = 135 More Girls 135 more girls is your answer.

500

Solve the following Compare problem: Amir received 442 emergency calls last year. He received 12 times as many calls from the city as the suburbs. How many calls did he receive from the suburbs ?

Model City with 12 blocks Model Suburb with 1 block We know all blocks for City and Suburb equal 442 calls If I want to know what one block equals, I need to divide all 13 blocks into 442. 442 divided by 13 = 34 for one block. Since Suburb is one block, then 34 calls is the answer for suburb

Divide by Taking out 10s or 100s

100

Divide by taking out groups of 10s, 100s, and/or ones 75 Divided by 6

75 divided by 6 = 10 x 6 = 60 2 x 6 = 12 Answer is 12 with a remainder 3

200

Answer the following by dividing with 10s, 100s, and one digit numbers, partial quotients 52 divided by 2

52 divided by 2 10 x 2 = 20 10 x 2 = 20 6 x 2 = 12 10 + 10+6 = 26 with no remainder

300

Divide by pulling out Multiples of 10s, 100s, and single digits 157 divided by 3

157 divided by 3 50 x 3 = 150 2 x 3 = 6 50 + 2 = 52 with a remainder of 1 Answer = 52 R 1

400

Solve the following using Multiples of 10s, 100s, and single digits 128 divided by 4

128 divided by 4 30 x 4 = 120 2 x 4 = 8 30 + 2 = 32 32 is the answer, no remainder

500

Divide using multiples of 10s, 100s, and single digits 775 divided by 3

775 divided by 3 200 x 3 = 600 50 x 3 = 150 8 x 3 = 24 Answer = 200 + 50 + 8 = 258 with a remainder of 1 258 R1

Mystery

100

What does a white dove symbolize ?

Peace

200

Give one example of using a Growth Mindset

Believe in yourself
Working hard at learning, even if you don't like it
Everyone can be a math person
Tell yourself you haven't learned it.... yet!
Keeping trying, even when you make mistakes.
Mistakes mean you are learning !

300

What is the name of one "Math Celebrity" that Mrs. Fisher has met at MidSchoolMath Conference ?

Jo Boaler    author of Mathematical Mindsets or
Dan Meyer  inventory of the Three-Act Task

400

Tell me three things you know about Mrs. Fisher or her family.

Mrs. Fisher can validate this answer

500

Name one Music Celebrity or group Mrs. Fisher has met or seen in Concert.

Mrs. Fisher can validate concerts.

She has met Wierd Al Yankovic, Rockapella, 29Palms, Squeeze.

Division

100

Answer the following division problem. If there is a remainder, leave it as a remainder. 19 divided by 2

19 divided by 2 = 9 with 1 remainder 9R1

200

Divide using any strategy 915 divided by 20

915 divided by 20 40 x 20 = 800 5 x 20 = 100 Answer is 45 remainder 15

300

Divide using any strategy 862 divided by 20

862 divided by 20 40 x 20 = 800 3 x 20 = 60 40 + 3 = 43 remainder 2

400

Solve using any strategy 37 divided by 17

37 divided by 17 2 x 17 = 34 Answer= 2 remainder 3

500

Solve using any strategy 1620 divided by 24

1620 divided by 24 60 x 24 = 1440 7 x 24 = 168 60 + 7 = 67 with a remainder of 12 Answer: 67 R 12