Math6SummerAssignment2017DUE:SEPTEMBER13TH,2017

Name:___________________________________--____________________ Asanincoming6thgradestudent,itisimportantthatyouareproficientinseveralskillsfrompreviousmathcourses.Thisassignmentcontainsexamplesoftheskillsyouareexpectedtoknow,suchasplacevalue,wholenumber,decimalandfractionoperations,asyouenter

yourMath6classthisSeptember.

**Completionofthispacketwillcounttowardsyourfirstassessmentgrade**

**AllstudentsenteringMath6willbeassessedontheskillsreviewedinthisassignment**

Ifyouneedassistancewithanyoftheseskills,westronglyrecommendthatyouutilizethevideosthatareprovidedforeachsection.

Show your work! Show your work! Show your work! Name __________________ Summer Review - Week # 1

1. What is 23,472 rounded to the nearest hundred? _______________________________ 2. In what numeral does 4 have the least value:

a. 648 b. 438 c. 2004 d. 4002 3. What is 872.3489 rounded to the nearest tenth? ________________________________

4. Find the common denominator for the pair of fractions given: 23and

14

● Common Denominator: ____________________

5. Find the common denominator for the pair of fractions given: 12and

56

● Common Denominator: ____________________

Show your work! Show your work! Show your work! Name __________________ Summer Review - Week # 2 Show all work to find the sum, difference, product, or quotient. 1) 498 2) 34 3) 346 + 231 - 17 x 45 ______________ __________ _____________ 4) 284 x 63 5) 25,630 + 23,880 6) 4536 – 2447 7) 4365 ÷ 9 8) 238 ÷ 17 9) 50,000 + 900 + 80 + 4 10) Complete the multiplication problems

11) What multiplication problem is shown in the picture? 12) Using the same strategy shown above multiply: 46 × 34

13) Mrs. P is ordering pencils for next year's class. Mrs. P expects to have twenty-four students in the class. Each student will use twelve pencils during the year. Pencils come in boxes of one hundred forty-four pencils. How many pencils will Mrs. P need for the next year's class? How many boxes of pencils should Mrs. P order to have enough for next year's class? Show all your mathematical thinking.

14) Mrs. Jerry wants her 25 students to each have 12 buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are 15 buttons in each bag. How many bags of buttons does Mrs. Jerry need to buy so she has exactly enough buttons for her 25 students? Show all your mathematical thinking.

Show your work! Show your work! Show your work! Name __________________ Summer Review - Week # 3 1. Change the following improper fractions to mixed numbers.

a) !"!

= ___________ b) !"!

= ___________ c) !"!"

= ___________

2. Change the following mixed numbers to improper fractions.

a) 4!! = ___________ b) 6!

! = ___________ c) 2

!! = ___________

3. Write two fractions that are equivalent to !!

. ________________ and ________________

4. Circle all of the fractions that are equivalent to !!

.

a) !"!"

b) !"!"

c) !"!"

d) !"!"

5. Write the location of each point on the number line below.

5. Plot and label each of the following on the number line below.

Show your work! Show your work! Show your work! Name __________________ Summer Review - Week # 4

7.07 + 5.9 = 0.02 + 10.163 = 31.94 + .096 = 5.63 − 1.05 = 18.1 − 7.42 = 10 − 4.01 =

4.5 ÷ 9 6.45 ÷ 3 2 8.4 Problem Solving using all decimal operations: 1) Mr. Blossom was feeling generous one day. He decided to give 8 friends $1.06 each. How much money did he share? 2) Ashleigh is buying concert tickets. The concert that her and her friends want to see costs $47.25 per ticket.

a) If Ashleigh has $200, how many tickets can she buy?

b) How much money would she need in order to purchase another ticket with her left over money? 3) Chris, Cathy and Chloe found $52.50 in the basement of their grandma’s house. She said they can have it! How much money would each child receive?

4) Natasha was training for a 10k. The week before her race she ran a bunch of miles as shown in the chart below. How many miles did she run in total last week?

Monday 5.7

Tuesday 2.03

Wednesday and Thursday 4.75 miles each day

Friday 9.86

Saturday 2.4

5. Graph each of the ordered pairs in the coordinate grid provided:

Show your work! Show your work! Show your work! Name __________________ Summer Review - Week # 5 Week 6: Perimeter and Area of Quadrilaterals/Volume/Fraction and Decimal Conversions

Find the perimeter and area of each quadrilateral below. Show your work.

1.) 2.)

Area: ____________________ Area: ____________________ Perimeter: ________________ Perimeter: ________________ Problem Solving with Area and Perimeter: 3.) Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long, and Zach makes his fence 8 feet long. Whose fence has the greater area? How much greater? (Hint: Draw a picture to help you.) The formula for volume of a rectangular prism is: V = length x width x height or V = lwh 4.) Find the volume of the rectangular prisms below:

Problem Solving with Volume: 5.) A box of Lucky Charms measures 24 cm long, 5 cm wide, and 25 cm high. A box of Cheerios measures 26 cm long, 4 cm wide, and 28 cm high. Which box of cereal has the greatest volume? How much greater is the volume?

Important Fraction and Decimal Equivalencies 6.) Fill in the missing spaces to create a table of equivalent fractions and decimals.

Fraction Equivalent Fraction Out of 100

Decimal

0.75

0.30

𝟐𝟑+ 𝟓𝟔= __________ 3𝟏

𝟒+ 1 𝟑

𝟏𝟎= __________

𝟗𝟏𝟎

- 𝟏𝟔= __________ 5𝟏

𝟒- 2𝟓

𝟖= __________

3𝟏𝟒× 𝟐𝟏𝟑

= __________ 𝟑𝟒÷6 = __________

Bake Sale SGS is having a bake sale to help raise money for the Math Department! Each student is being assigned something to

bake for the Bake Sale. You were assigned to bake chocolate chip cookies.

The recipe for 36 chocolate chip cookies is as follows:

INGREDIENTS

You are not sure how many cookies you are going to have to make. To be prepared for several different amounts, complete the table below.

In columns 5 and 6, you need to fill in the number of servings as well as the amount of each ingredient.

Open-Ended Questions: Answer each of the following questions in complete sentences. 1.) Explain how you determined the amount of each ingredient needed to make 12 cookies. 2) Explain how you determined the amount of each ingredient needed to make 60 cookies. 3.) Explain how you determined the number of cookies from 1½ cups of flour. 4.) Explain how you determined the number of cookies from 1½ cups of white sugar.

SHOPPING LIST

In class, your teacher told you that you have to make the cookies for the

bake sale. To begin making the cookies, you must buy the ingredients. Determine how much money it will cost by completing the shopping list below.

Find the prices for each item on www.netgrocer.com. You must buy the brands and the quantities that are listed. NO SUBSTITUTES!

Operations with Fractions (5.NF.1, 2, 6, 7) Dividing by a whole number

● Tutorial: http://www.pbslearningmedia.org/resource/mgbh.math.nf.divfrac/dividing-a- whole-number- by-a-unit- fraction/

● Tutorial: https://www.khanacademy.org/math/arithmetic/fractions/dividing-fractions- tutorial/e/dividing_fractions ● Practice: http://www.mathgames.com/skill/5.94-divide- fractions-by- whole-numbers ● Practice:http://www.mathopolis.com/questions/q.php?id=5935&site=1&ref=/numbers/fractions-division-

whole-numbers.html&qs=5935_5936_5937_5938_5939_3579_3580_3581_3582_3583_3584

Order & Convert Fractions & Decimals on the Number Line (5.NF.3, 6.NS.6) ▪ Tutorial: https://learnzillion.com/lessons/487-locate-positive-rational-numbers-using-a-number-line

Decimals: ▪ http://www.mathplayground.com/ASB_Puppy_Pull_Decimals.html

Operations with Multi-Digit Numbers (5.NBT.5, 5.NBT.6) Multiplication

▪ Practice: http://www.mathplayground.com/multiplication05.html

Division ▪ Tutorial: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-arithmetic-operations/cc-6th-div-whole-

numbers/v/dividing-completely-to-get-decimal-answer ▪ Practice: http://www.coolmath4kids.com/long-division/number-monster-division.htm

Fluency (5.NBT.7) Operations with Decimals

▪ Multiplying Tutorial: http://www.mathsisfun.com/numbers/decimals-multiplying-animation.html ▪ Division Tutorial: http://www.mathsisfun.com/numbers/decimals-dividing-animation.html

Math6SummerAssignment

SCORINGRUBRIC

DUE:SEPTEMBER13TH,2017

SCORE CRITERIA

5 Studentcompletedpacketandshowedeffortthroughout.

3 Studentpartiallycompletedpacketandshowedlittleeffortthroughout.

0 Studentdidnotcompletepacketorshowednoeffortthroughout.