Multiplication and Division



Kids’ Information Page

We’re so proud of you for taking the time to work on math over the summer! This packet is intended for students who just finished fifth grade and will be entering middle school in August.

Here are some helpful hints for success:

← It’s OK to have parents and other adults help you!

← Find a quiet work space where you can get organized and stay focused.

← Pay close attention to the examples and vocabulary.

← Choose a unit that you like, and work through it completely before moving on to another unit.

o Try to complete at least 1 worksheet per day.

o Complete all of the problems on each worksheet.

← Calculators may ONLY be used when you see this symbol:

← Remember to do a little work each week. DO NOT wait until the week before school starts to complete your packet!

← The packet should be returned to your math teacher during the first week of school.

← You can access your textbook online at   

See the Textbook Navigation Page for more information.

← If you have any questions, you can reach me at kim.schmidt@

Have fun & we’ll see you in August!

Level 6 (Course 1)

|Sections |Indicator Number |Content Standard/Indicators |

|  |MA.600.10 |KNOWLEDGE of ALGEBRA, PATTERNS and FUNCTIONS |

|1-6 |MA.600.10.20 |Write an algebraic expression to represent unknown quantities using one unknown and one operation using whole numbers, |

| | |fractions, or decimals |

|1-6 |MA.600.10.25 |Evaluate an algebraic expression using one unknown and one operation using whole numbers, fractions, and decimals |

|1-5 |MA.600.10.30 |Evaluate numeric expressions using order of operations, with no more than 4 operations and whole numbers |

|9-2; 9-3; 9-4 |MA.600.10.45 |Determine the unknown in a linear equation with one operation and positive whole number coefficients, using decimals |

|  |MA.600.20 |KNOWLEDGE of GEOMETRY |

|  |MA.600.20.10 |Identify and describe diagonal line segments |

|13-4 |MA.600.20.15 |Compare or classify triangles as scalene, equilateral or isosceles |

|13-4b |MA.600.20.20 |Compare or classify triangles as equiangular, obtuse, acute, or right |

|  |MA.600.20.25 |Use the concept of the sum of angles in any triangle is 180° to determine the third angle measure of a triangle given two |

| | |angle measures without a diagram |

|4-6 |MA.600.20.30 |Identify and describe the parts of a circle (circumference, radius, or diameter) |

|4-6 |MA.600.20.35 |Identify and compare the relationship between the parts of a circle using radius, diameter, and circumference |

|13-3 |MA.600.20.50 |Identify, or describe angle relationships using perpendicular bisectors or angle bisectors |

|  |MA.600.30 |KNOWLEDGE of MEASUREMENT |

|12-1 |MA.600.30.10 |Measure length to the nearest 1/16 inch using a ruler |

|14-2a; 14-2 |MA.600.30.20 |Estimate and determine the area of a triangle with whole number dimensions |

|14-5 |MA.600.30.25 |Estimate and determine the volume of rectangular prisms with whole number dimensions |

|  |MA.600.30.30 |Estimate and determine the area of composite figures using no more than four polygons (triangles or rectangles) with whole |

| | |number dimensions |

|  |MA.600.30.35 |Determine the missing side of a quadrilateral given the perimeter using whole number dimensions |

|  |MA.600.30.40 |Determine the missing measure of a square or rectangle given the area using whole number dimensions |

|  |MA.600.40 |KNOWLEDGE of STATISTICS |

|2-1 |MA.600.40.05 |Organize and display data to make frequency tables with no more than 5 categories or ranges of numbers and total |

| | |frequencies of no more than 25 |

|2-1 |MA.600.40.10 |Interpret frequency tables with no more than 5 categories or ranges of numbers and frequencies of no more than 25 |

|2-5 |MA.600.40.15 |Organize, and display the data for a given situation to make stem and leaf plots using no more than 20 data points and whole|

| | |numbers |

|2-3 |MA.600.40.30 |Interpret circle graphs using no more than 5 categories and whole numbers or percents |

|2-6; 2-7 |MA.600.40.35 |Determine the measures of central tendency (mean, median, and mode) and the range |

|  |MA.600.50 |KNOWLEDGE of PROBABILITY |

|11-1; 11-2 |MA.600.50.10 |Determine the probability of one simple event comprised of equally likely outcomes with a sample space of 10, 20, 25, or 50 |

|11-4; 11-5 | |outcomes and express the probability of the event as a decimal |

| 11-1b |MA.600.50.20 |Analyze the results of a probability experiment with no more than 30 outcomes to make predictions and express the |

| | |experimental probability as a fraction, decimal, or percent |

|  |MA.600.60 |NUMBER RELATIONSHIPS and COMPUTATION |

| |MA.600.60.05 |Read, write, and represent whole numbers using exponential form using powers of 10 |

|8-1 |MA.600.60.10 |Read, write, and represent integers |

|5-6; 5-7; |MA.600.60.15 |Identify and determine equivalent forms of proper fractions, as decimals, percents, and ratios |

|10-5;10-6 | | |

|5-5; 5-6; 5-7 |MA.600.60.20 |Compare and order fractions and decimals, alone or mixed together, including no more than 4 proper fractions or decimals |

|6-3 - 6-6 |MA.600.60.35 |Add and subtract fractions and mixed numbers and express answers in simplest form |

|7-2; 7-3 |MA.600.60.40 |Multiply fractions and mixed numbers and express answers in simplest form |

|4-1; 4-2 |MA.600.60.45 |Multiply decimals, no more than 3-digits by a 2-digit decimal |

|4-3 |MA.600.60.50 |Divide decimals using no more than 5 digit decimal by whole number of no more than 2-digits without adding zeroes |

|10-7a; 10-7 |MA.600.60.55 |Determine 10, 20, 25, or 50 percent of whole number |

|9-1a; 9-1 |MA.600.60.65 |Use the distributive property to simplify numeric expressions using whole numbers |

|4-1 |MA.600.60.70 |Estimate to determine the product of a decimal (with no more than a 3 digits) and a whole number (2 digit) |

|4-3 |MA.600.60.75 |Estimate to determine the quotient of a decimal with no more than 4 digits in the dividend and divided by a 2-digit whole |

| | |number |

Textbook Navigation Page

To get to the online version of the book:

1.) Go to   

2.) Click Online Student Edition

3.) Enter the following information:

Username: MAC104

Password: STaspEdUw2

4.) Click on Table of Contents – this will bring up

each section of the book. Click on the Section,

followed by the chapter you want. Continue to

use the Bookmark side bar to navigate through

the book and its pages.

**Note: You can not print the book. It is

copyrighted by the publisher. This is for viewing

purposes only.

Multiplication and Division (no calculator)

(Sixth graders should know all fact families 0-12 with speed and accuracy).

Write the answers to the following math facts:

1.) 7 x 9 = ____ 4.) 4 x 6 = ____ 7.) 6 x 9 = ____ 10.) 5 x 12 = ____

2.) 6 x 6 = ____ 5.) 6 x 7 = ____ 8.) 7 x 8 = ____ 11.) 7 x 12 = ____

3.) 8 x 4 = ____ 6.) 8 x 6 = ____ 9.) 9 x 4 = ____ 12.) 9 x 12 = ____

Solve the following problems. Show all of your work. Draw a box around your final answer.

13.) 14.)

74 423

x 13 x 30

15.) 16.)

69 307

x 58 x 46

17.) 18.)

675 ÷ 9 1440 ÷ 24

Factors and Multiples (no calculator)

Use the clues to determine the secret numbers:

1. ________

Clue 1: The number has 2 digits.

Clue 2: The number has 13 as a factor.

Clue 3: The sum of the digits is 11.

2. _________

Clue 1: The number is prime.

Clue 2: The number is less than 19.

Clue 3: The sum of the digits is greater than 7.

3. _________

Clue 1: The number has three digits.

Clue 2: The number is less than 140.

Clue 3: The number has 7 as a factor.

Clue 4: The number is even.

Clue 5. The sum of the digits is less than 9.

4. __________

Ms. Goldman is thinking of a number that is less than 20 and has three factor pairs. She

says that if she adds the factors in each factor pair the sums are 19, 11 and 9. What is her

number?

5. List all the factors of

12_________________________________________________________

7__________________________________________________________

36_________________________________________________________

80_________________________________________________________

225________________________________________________________

6. Find the common factors of 12 and 20 .Circle the Greatest Common Factor (GCF)______________________________

7. Find the common factors of 24 and 48. Circle the GCF_____________________________________

8. Find the common factors of 30 and 72. Circle the GCF_____________________________________

9. Graham is planning a party for his younger sister. He has 36 prizes and 24 balloons. How many children can he have at the party so that each child gets an equal number of prizes and an equal number of balloons? Explain your answer using complete sentences.__________________________

_______________________________________________________________________________________

10. A number has 4 and 5 as factors. What other numbers must be factors? Why? What is the smallest number this number could be?_________________________________________________

11. List 10 multiples of 12.____________________________________________________________

12. List 10 multiples of 13_____________________________________________________________

13. List 20 multiples each of 5 and 8. List all the multiples they have in common. What is the Least Common Multiple (LCM) of 5 & 8? ________________________________________________________

14. Can you find the Greatest Common Multiple? Why or why not?____________________________

15. Is the number 26 divisible by 2? 3? 5? Or 9? How do you know?___________________________

_______________________________________________________________________________________

16. Is the number 432 divisible by 2? 3? 5? 6? 9? 10?_______________________________________

17. Two radio stations are playing “Old Bald Men.” WXRT plays the song every 18 minutes and WNPR plays it every 24 minutes. Both stations play the song at 3:00 PM. When is the next time the stations will play the song at the same time?_______________________________________________

18. Mike and Duane are performing live at a Parker MX. This year they want to incorporate a crazy light show. They spoke with Mr. Early and decided that red lights would flash every 5 seconds, blue lights would flash every 8 seconds, and yellow lights would flash every 10 seconds. How many seconds or minutes into the show will all three lights flash at the same time?___________________

19. You just joined a soccer team and it’s time to choose your number. You decide you want a prime number, but it must be between 20 and 40. What do you choose and how can you prove it’s a prime number?_______________________________________________________________________________

20. Make up a word problem about multiples or factors and show it to someone in your family.____

_______________________________________________________________________________________

_______________________________________________________________________________________

_______________________________________________________________________________________

_______________________________________________________________________________________

Measurement (Customary Length) review

12 inches = 1 foot

3 feet = 1 yard

5,280 feet = 1 mile

1,760 yards = 1 mile

Use the chart above to help you solve the following problems. Show all your work.

1.) 6 yards = ________ feet

2.) 6 feet = _________ inches

3.) 2 miles = ____________ feet

4.) 2 miles = _____________ inches

5.) 39 yards = _____________ inches

6.) When you are converting (changing) a larger unit of measurement to a smaller unit of measurement, do you multiply or divide? Draw a picture that proves your answer.

7.) 36 inches = ________ feet

8.) 36 inches = _________ yard(s)

9.) 63 feet = ____________ yards

10.) 108 inches = _____________ feet

11.) 45 feet = _____________ yards

12.) When you are converting (changing) a smaller unit of measurement to a larger unit of measurement, do you multiply or divide? Draw a picture that proves your answer.

Fractions (no calculator)

1.) The denominator is 5 and the numerator is 4. Write the fraction.___________________

2.) Find 5 fractions that are equal to 1/5.__________________________________________

3.) Which is bigger, 2/3 or 3/5.? How can you prove your answer? Show at least two ways.

4.) 3/8 + 2/8 ____________________________________________________________________

5.) 5/8 + 7/8 ____________________________________________________________________

6.) 3/8 +1/4_____________________________________________________________________

7.) Write a fraction that is greater than 1/2 and less than 3/4 ? How do you know it is correct?

_______________________________________________________________________________

Find the missing numerator or denominator. Show all your work.

8.) 3/7 = 9/? Denominator =

9.) 4/24 = 1/? Denominator =

10.) 6/48 = ?/8 Numerator =

11.) 28/35 = ?/5 Numerator =

12.) 48/72 = 6/? Denominator =

13.) Fiona bought a brand new Harley Davidson motorcycle. Since the weather was nice, she decided to go out for a ride with some of her friends. Before leaving town, she stopped to fill up her motorcycle with gas so that she had a full tank. If Fiona’s motorcycle has a 4 gallon gas tank, and she only had to add 2 4/7 gallons, how much gas was in the tank before she filled up? Show all your work______________________________

________________________________________________________________________________________

14.) Change 13/8 to a mixed number.______________

15.) Change 24/5 to a mixed number.______________

Write the following words as a fraction:

16.) three and nine fifteenths ________________________________

17.) twelve and fourteen twentieths________________________________

Change the following into an improper fraction:

18.) six and two thirds ___________________________________________

19.) ten and six sevenths ________________________________________

Simplify the following:

20.) 14/2 ________________________________

21.) 1 8/32 _____________________________

22.) 8/24 _______________________________

23.) 32/64 _____________________________

24.) 5/15 ______________________________

25.) 20/45 _______________________________

Decimals and Percents (no calculator)

1.) Write a fraction to represent each decimal. Make sure the fraction is in simplest form.

0.3 =

0.21 =

0.4 =

0.37 =

0.5 =

2.) Match up the fractions with the decimals they are equal to.

0.5 9/12

0.75 1/5

0.2 3/10

0.10 1/10

0.3 ½

What place value do the underlined digits carry, and how many of each are there?

3) 10,367

4) 5,234.23

5) 10.2001

6) 9.16

7) 0.579

8) 210.552

Round the following numbers to the nearest tenth.

Reminder: Since you are rounding to the nearest tenth, you need to refer to the digit in the hundredth’s place value. If the digit in the hundredth’s place value is 5 or greater, the digit in the tenth’s place value will round up. If the digit in the hundredth’s place value is less than 5, the digit in the tenth’s place value will remain the same.

(Example: 10.067 = 10.1)

9.) 15.245 =

10.) 7.321 =

11.) 1.58 =

12. ) 235.262 =

Round the following numbers to the nearest whole number.

Reminder: Your answer must be just the whole number. No answer with a decimal will be correct.

(Example: 50.861 = 51)

13.) 213.56 =

14.) 10.39567 =

15.) 95.459 =

16.) 12.107 =

17.) Arrange the numbers below on the place value lines so they create the greatest value possible.

6, 8, 1, 3, 2

_________ ______. ______ ______

18.) Arrange the numbers below on the place value lines so they create the smallest value possible.

6, 8, 1, 3, 2

_________ ______. ______ ______

19) Katherine was on an airplane to Spain. The trip would take exactly 12 hours. So far she had flown 3 hours. What percentage of the trip has Katherine completed so far?

20.) Marc had to walk to the grocery store which was exactly 50 meters from his house.

So far he has walked exactly 21 meters. What percentage of a mile has he walked?

21.) Leigh bought new shoes that will last for 500 miles. She has walked 20% of the recommended usage. How many miles has she walked so far?

Geometry

Use the numbers below to solve 1, 2, & 3.

50º 75º 179º 130º 62º 90º 142º

36º 150º 25º 160º 10º

1. Draw a circle around each acute angle.

2. Draw a rectangle around each obtuse angle

3. Leave each right angle as it is.

Show all your work, including pictures if they help, as you find the answers to the questions!

Ms. Hamilton wants to put a decorative iron fence (rather like Winnie’s in Tuck Everlasting) around her yard. The yard is a perfect rectangle: its length is 24.75 feet and its width is 12.75 feet. Home Depot charges $50 a yard for iron fencing.

4. How many feet of fencing does Ms. Hamilton need to buy?_____________________________

5. What do you call the distance around a rectangle? _____________________________

6. How much will the fencing cost?____________________________________________________

Directions: Using your knowledge of lines, line segments, rays, and intersecting lines, answer the following questions. Use your ruler for straight lines.

7.) Draw line segment AB and have it intersect with line TR at point S.

8.) Draw two intersecting lines, label them, and have them intersect at point C.

9.) Create one drawing that shows three rays sharing one endpoint.

10.) Name 5 kinds of quadrilaterals

For the following remember P=Perimeter l=length w=width A=Area. P= (l + w) x 2 and A= l x w

11.) Draw a rectangle with a length of 15 cm and a width of 6 cm. Find the Perimeter and Area.

Draw three examples of a rectangle that have an area of 30. Calculate the perimeter of each.

12.)

13.)

14.)

15.) Look around your room. Draw and identify 10 polygons.

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