Name: ______Period: ______

Unit 3 Goal Problems #1 – Least Common Multiple

  1. What is the least commonmultiple (LCM) of9 and 12? (DOK1 - recall)
  1. Lana has swimming lessons every fifth day and diving lessons every fourth day. If she had a swimming lesson and a diving lesson on June 3, when will be the next date on which she has both swimming and diving lessons? (DOK2 – routine)
  1. P is the set of all positive multiples of 4 less than 30. Q is the set of all positive multiples of 6 less than 30. How many multiples do sets P and Qshare? (DOK3 – non-routine)

Name: ______Period: ______

Unit 3 Goal Problems #2 – Greatest Common Factor

1 . Find the greatest common factor for 24 and 48. (DOK 1 - recall)

2. Li Na is going to plant63tomato plants and81rhubarb plants. She would like to put the plants in rows where each row has the same number of tomato plants and each row has the same number of rhubarb plants. (DOK2 – routine)

a)What is the greatest number of rows she can plant?

b) How many of each plant will be in each row?

3. Set M consists of all the integers from 1 to 18, inclusive. If a number is selected at random from

setM, then what is the probability that the number is a factor of 3 and also a factor of 6?
(DOK3 – non-routine)

Name: ______Period: ______

Unit 3 Goal Problems #3 – Distributive Property

Use the distributive property to simplify the following expressions. (DOK1 – recall)

  1. 5(3 + 2)2. 10 + 2(4 – 6)

3. Madison has 56 roses and 42 daisies to use in floral centerpieces for a party. Each centerpiece will have the same number of roses and the same number of daisies.

a)What is the greatest number of centerpieces that Madison can make?

b)How many roses and how many daisies will be in each centerpiece?

Solve this problem using the GCF and Distributive Property. (DOK2 – routine)

4. Which of the following expressions are equivalent to a – 4 + a(2 + 1)?

Justify your solution.Use the back of the paper if you need more room.

(DOK3 – non-routine)

A) a(a – 3)

B) 4(a – 1)

C) (a + 4)

D) (a – 4)

E) 4(a + 3)

F) 2a + 2(a – 2)

G) 4a – 22

Name: ______Period: ______

Unit 3 Goal Problems #4 – Whole Number Fluency

DOK1 - Recall

1)429 + 45 =2) 1903 – 1826 =

3) 52(1785)4) 13800 =

6

DOK2 – Routine

5) Marcus has 700 marbles. He gave away 175 marbles and put the remaining marbles equally into 5 bags. How many marbles are in each bag?

6) Susan has 250 sheets of paper. She gives 5 sheets of paper to every student in the class.

There are 32 students in the class. How many sheets of paper does Susan have left over?

Name: ______Period: ______

Unit 3 Goal Problems #5 – Whole Number and Decimal Fluency

DOK1 - Recall

1)517 + 895=2) 37.8 – 24.63 =

3) 796 ÷ 4 =4) 37.15 =

0.05

DOK2 – Routine

5) Sheri is planning a 450 mile car trip. Her car can travel about 30 miles on a gallon of

gasoline. Gasoline costs $3.09 per gallon. How much will the gas cost for her trip?

DOK3 – Non-Routine

6) Choose any four consecutive whole numbers. Find the product of the inner numbers

and the product of the outer numbers. Record your results.

Do the same thing with 4 other consecutive numbers.

What do you notice? Will this always be the case? Justify your thinking.

Name: ______Period: ______

Unit 3 Goal Problems #6 –

Multiplying Fractions and Dividing Fractions with Visual Models

DOK1 - Recall

1)2)

3) Use a visual model to show how many halves are in four wholes.

DOK2 – Routine

4) Find the area of this rectangle.

5) A submarine sandwich is 6 inches long. How many slices can be cut from the

sandwich if each slice is to be two-thirds of an inch?Solve this problem using a

visual model.

DOK3 – Non-Routine

6) A bakery has ⅔ lb. of bread dough. To make one loaf it takes ⅙ lb. of dough.

How many loaves can the bakery make? Solve this problem using a visual model.

.

Name ______Period______Date ______

Unit 3 Quick Check

Concept Category – Least Common Multiple, Greatest Common Factor &

the Distributive Property

DOK 1- Recall

For questions #1-3, show all work and circle your solution.

1) Find the greatest common divisor of 18 and 24.

2) Find the least common multiple of 9 and 12.

3) Use the distributive property to simplify the following expressions.

a)8(4 + 7)b) 15 + 4(2 – 3) c) 9(6 + 2 + 3)

DOK2- Routine

4) Use the GCF and the Distributive Propertyto express each sum as a product.

a)16 + 18b) 36 + 63 c) 48 + 64

5) Ms. Bergonzi is buying muffins and drinks for a breakfast meeting. The muffins are sold in packages of 12 and the drinks are sold in packages of 18. What is the smallest number of packages of each item that Ms. Bergonzi can buy and still have the same number of muffins and drinks? Explain your thinking.

6) Ed has 36 red jelly beans and 48 blue jelly beans. He wants to divide them equally among his friends at the lunch table.

a)Ed wants to give jelly beans to as many friends as possible. What is the greatest number Ed can use to divide the jelly beans equally?

b)If Ed gives an equal number of jelly beans to the greatest number of friends possible, how many red jelly beans and how many blue jelly beans will each friend receive?

DOK3 – Non-Routine

7) Set W consists of the even whole numbers from 2 to 20, inclusive. If a number is

selected at random from set W, then what is the probability that the number is a multiple of 4 and also a multiple of 6?

Name ______Period ______Date ______

Unit 3 Quick Check

Concept Category – Whole Number and Decimal Fluency

DOK 1- Recall

  1. 2.

DOK2- Routine

  1. Your class is working on a project. Each student needs 15 plastic straws. There are 34 students in your class. There are 50 plastic straws in a box. How many boxes of straws does your class need?

DOK3 – Non-Routine

4. Use the table below to answer the following questions.

Hospital Staff Wages (Per Month)

Occupation / Culver City, CA / Washington, DC
Physical Therapist / $ 5,865.20 / $ 5,241.60
Pharmacist / $ 6,348.00 / $ 6,812.00
Nurse / $ 4,853.40 / $ 5,718.40

a)How much less does a pharmacist in Culver City make in one year compared to a pharmacist in Washington DC? Show your work in a way that the reader can understand.

b)A nurse works on average for 12 days per month. A physical therapist works on average for 20 days per month. If both workers live in Culver City, which person earns more per day? Explain your thinking and show your work.