Monroe Township School District Monroe Township, New Jersey

Transcription

1 Mnre Twnship Schl District Mnre Twnship, New Jersey Preparing fr 6 th Grade Middle Schl *PREPARATION PACKET* Summer 2014 ***SOLVE THESE PROBLEMS WITHOUT THE USE OF A CALCULATOR AND SHOW ALL WORK*** Yu will be respnsible fr handing in the cmpleted packet with all wrk shwn ON THE FIRST DAY OF SCHOOL. The prblems here are very representative f the types f items yu will need t have mastered BEFORE 6 th Grade Math s we strngly encurage that yu include this packet in yur summer festivities Gd luck and enjy J Name: Operatins and Algebraic Thinking 1. Write a numerical epressin fr three times the sum f nine and seven. 2. Write the first five terms in the pattern: Start with zer. The rule is add Simplify (17-9) Page 1

2 4. Cmplete the table. Write a rule fr cmpleting the table: Input Output Rule: 5. The table belw shws the number f gallns f gasline in the gas tank each secnd as it fills. If the pattern cntinues, hw much gas will be in the tank after 6 secnds? Secnds Pumping Gasline Gallns in the Tank Which epressin shws hw t slve 7 63 with mental math. A. (76) + (73) B. (760) + (7 3) C. (760) + (730) D. (76) + (730) Page 2

3 Number and Operatins in Base Ten 7. Write the number eight and twenty- eight thusandths in standard frm. 8. Order the fllwing frm greatest t least: Write the fllwing in standard frm. (3100) + (710) + (21) + ( ) + ( ) 10. Write 10 4 in standard frm. 11. Megan s check fr lunch at the Luigi s was $ She paid with a 20 dllar bill. Hw much change did she receive? Page 3

4 12. Describe the rule fr the fllwing pattern and name the net three terms. 120,000 12,000 1, Rule: 13. Insert >, < r = t make the fllwing statement true Write 3,409.7 in epanded frm. 15. Write the fllwing wrds in numerals: One hundred five and twenty- nine thusandths 16. Rund t the nearest tenth. 17. What is the value f the underlined digit in the number belw? 57,035, Insert >, < r = t make the fllwing statement true Page 4

5 Find the sum, difference, prduct r qutient. Shw all wrk , = 20. 5, = = = = = = , = Page 5

6 Number and Operatins Fractins 27. Katie wrks 2 days a week after schl. On Mnday she wrks 2 hurs and n Wednesday she wrks 3 hurs. Hw many hurs mre des she wrk n Wednesday? 28. It takes cup f ice cream and cup milk t make a milkshake. Hw many cups is that altgether? Page 6

7 29. Jimmy lives f a mile frm schl. Billy lives twice as far as Jimmy. Hw far des Billy live frm schl? 30. Three students shared a pizza. One student ate f the pizza, anther ate f the pizza and the third student ate the rest. What fractin f the pizza was the third student s prtin? 31. f the seats in the auditrium were reserved fr parents and f the seats was reserved fr the teachers. What fractin f the seats was reserved altgether and what fractin was left fr general admissin? Page 7

8 Find the sum r difference. Shw all wrk = = = = = = Page 8

9 Measurement and Data 38. Leah is 52 inches tall and Carl is 4 feet 7inches tall. Which girl is taller? Hw much taller is she? 39. Mike s beach twel is 1 yard lng. What measure is equivalent t 1 yard, in inches? 40. What is the vlume f the irregular figure shwn belw? 41. Sebastian hiked a 13-kilmeter trail at Great Peak. Hw many meters did Sebastian hike? Page 9

10 42. Tyler has a cntainer with 2.95 liters f laundry detergent. Hw many milliliters f detergent are in the cntainer? 43. A class was picking straws frm a big pile and then using a ruler t measure the length f each straw. They recrded the lengths f the straws picked in the line plt belw. Use the line plt t answer the questins that fllw. Lengths f Straws Length (inches) a. Which straw length was the mst frequent? b. What is the ttal length f all the straws in the pile? Page 10

11 Gemetry 44. Which quadrilateral has tw acute angles, tw btuse angles, and tw pairs f ppsite parallel sides?. A B C D E 45. Plt the fllwing pints n the crdinate plane: A (1,2) B (1, 5) C (5, 2) D (5, 5) Cnnect the pints and name the figure Find the area f the figure 46. Use the clues belw t identify the figure: My figure has fur sides. My figure has ppsite sides that are parallel. All f my figure s sides are cngruent. My figure has tw btuse angles and tw acute angles. Name f the figure: Page 11

12 47. A B C G D F E I H Write the letter f all the shapes abve that fit int each f the categries belw. (Yu may use a shape mre than nce.) Cntain at least 1 right angle Parallelgram Quadrilateral Rectangle Page 12

13 48. The temperature in Michelle s huse frm 9:00 a.m. t 7:00 p.m. is recrded in the table belw. Plt the pints n the graph. Remember t label the graph. Time Temperature 9 am am 60 1 pm 63 3 pm 68 5pm 65 7 pm 60 What was the apprimate temperature in Michelle s huse at 2:00 p.m.? What was the difference in temperature frm 1:00 p.m. t 3:00 p.m.? Page 13

14 REVIEW: COMMON CORE STATE STANDARDS (CCSS): Grade 5 Operatins and Algebraic Thinking 5.OA Write and interpret numerical epressins Analyze patterns and relatinships Number and Operatins in Base Ten 5.NBT Understand the place value system. Perfrm peratins with multi- digit whle numbers and with decimals t hundredths. Number and Operatins Fractins 5.NF Use equivalent fractins as a strategy t add and subtract fractins. Apply and etend previus understandings f multiplicatin and divisin t multiply and divide fractins Measurement and Data 5.MD Cnvert like measurement units within a given measurement system. Represent and interpret data. Gemetric measurement: understand cncepts f vlume and relate vlume t multiplicatin and t additin. Gemetry 5.G Graph pints n the crdinate plane t slve real- wrld and mathematical prblems Classify tw- dimensinal figures int categries based n their prperties. PREVIEW: COMMON CORE STATE STANDARDS (CCSS): Grade 6 Ratis and Prprtinal Relatinships 6.RP Understand rati cncepts and use rati reasning t slve prblems The Number System 6.NS Apply and etend previus understandings f multiplicatin and divisin t divide fractins by fractins. Cmpute fluently with multi- digit numbers and find cmmn factrs and multiples. Apply and etend previus understandings f numbers t the system f ratinal numbers. Epressins & Equatins 6.EE Apply and etend previus understandings f arithmetic t algebraic epressins. Reasn abut and slve ne- variable equatins and inequalities. Gemetry 6.G Slve real- wrld and mathematical prblems invlving area, surface area, and vlume. Statistics and Prbability 6.SP Develp understanding f statistical variability. Summarize and describe distributin Page 14

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