WIXLIB

1Changingone metric unitanother:To change from a larger unit to a smallerunit, multiply by a power of ten.3.B L To change from a smaller unit to a largerunit, divide by a power of ten.100 m mLA liter is a larger unit than a milliliter. Tochange from liters to milliliters, multiply.1 L 1,000 mLkmThe meter is a smaller unit than thekilometer. To change from meters tokilometers, divide.1,000 m 1 km3.B x 1,000 3,BOO100 --;- 1000 0.13.B L 3,800 mL100 m. 0.1 kmName the most appropriate metric unit for each measurement.1 mass of a cowD2. length of a carrot3. capacity of a thimbleComplete.· i4 45 g 5. 3450 mL mg60 4.5m mm7. 1.68 L Be 28cm mm9. 7,658 9 10. 600 cm m11. 5,000 mg LmLkg912. 5.1 km m13. 1.7BO L mL14. 0.780 L mL15. 4,300 m km17. B,OOO mg 916. 9,000 cm m18. Reasoning It is recommended that people have 1 9 ofcalcium each day. How many milligrams of calcium is that?

NameReview16'PerimeterPerimeter is the distance around a shape.You can add the len.gthsof all the sidesor you can multiply the sum of thelength and the w,idth by 2 to find theperimeter of a rectang'le., If only one side of a figure is given,then all sides have the same length.5cmD25 in.9 in.1 - - 1 - - - - 'p 25 in. 9 in. 25 in. 9 in. 68 in.or p 2 x (25 in. 9 in.) 68 in.1 Find the perimeter of the rectangle.p 5 em 5 em 5 em 5 emor p 4 x 5 em 20 em2" Find the perimeter of the square.6mDn3 in.8mIp mFind the perimeter of each figure.03.1 ft3ft7.21A .tn.4'2 8./D'4.1p.9.24c"mLI-J14cmx12 emA'5 in.'In · 0(n.tn .tn.11. A flower garden is in the sh!3pe of an equilateral triangle.Each side measuresI in.6.12,in.I i .20 em 5'04m 20 em15 ' ft. What is the garden's perimeter?10.8m X

I1You can use formulas to find the area of a square or rectangle.Find the area of a square that is 7.2 m oneach side.Use the formula A 28 .Find the area of -a rectangle with a length( of 4 em and a width (w) of 12 em.Use the formula AA (7.2)2A 4A S1.84A 48The area is 51.841BOm2 .X 12The area is 48 cm 2 .Find the area of each figure. .B.3cm10.4 ftu3.1 ft8.8 ft3.4.2km4.6.3 km c.:i.EC.0 U:JUillco5. Reasoning What is the iength of a rectangle that hasan area of 120 ft2 and a width of 8 ft? m(J)0.@ I X w.6. Number Sense What is the area of a square that is12.4 em on each side?I-

NameReview18Ratio and ProportionYou can use ratios to compare twoquantities.A statement that two ratios are equalis called a proportion.2 balloons to' 3 'sticks1 balloon2 sticksYou can write ratios as;2 to 3words2 balloons 4 sticks1 1x 2 2:2 2x2 4with a colon 2:32as a fraction 3. a propo,rt'Ion.21 42 ISWrite each ratio. Use words, a colon, or a fraction.1. Write the fatio of squares to circles.DODD0002. The Computer Club has 20 girlsand 15 boys. Write the ratio of girlsto boys in the club.Tell if the ratios form a proportion. Write yes or no.3 93. 4" 12 -;.--Completeea h4.3 61 239 - -4 86."6 18 - -5'"6 10 - - -table so that all ratios are equal. '8.I; I I I I9./ 4 1 120 I17 121 1421631I10. The ratio of he width to the length of a painting is 3 to 7.If the painting is 42 in. long, how wide is it?,11. The ratio of the number o moons the planet Neptune has tqthe number that Saturn has is 4 to 9. Saturn has 18 moons., How many moons does Neptune have?51 10 I150II

Fractions, decimals, and percents all name parts of awhole. The grid to the right has 72 but of 100 squaresshaded.;- :,72 out of 100 are shaded. As a fraction; that is lQ:2o.As a decimal, that is 0.72. As a percent, that is 72%.I!:,Write 40% as a fraction and decimal.Write 0.3% as a fraction and decimal.40% 1 0.400.3% 6 The decimal point moves two places tothe left.The decimal point moves two places tothe left. FiH in any spaces with zeros.Write 0.47 as a fraction and percent.Write0.47 1 O 47%You can use a proportion: 0.003t as a decimal and percent.3 n4n300"4 - 1004- n So,\.75t 0.75 ,75%.Write each in two other ways.21. 1073. 102.231004. 9Y%q-jI':':\!:11.5. 16%6. 52%t' I'Ii! . !.'7. 0.048. 0.359. Number Sense Sheila got 87% of the problem correct.Patrick got '190 correct. Who scored higher?:i

NameReview20ProbabilityWhat is the probabilityof spinning an A?What is the probabilityof spinning a B?number of As4 - total.possible outcomes14The probability is The probability is2- or .- - .number of Bstotal possible outcomes1.Complete.1. What is the probabilityof spinning a 1?DD- number of 1s- total poss1ble outcomes2. What is the probabHityof spinning a 3?DDThe probability is- number of. 3s- total possible outcomesThe probability isGive the probability of each .outcome.3. spinning an N4. spinning an S5. spinning an S or G6 spinning an S, G, or NA number cube has 6 sides numbered 1, 2, 3, 4, 5, and 6. Find each probability.7. rolling a 38. roliing an even number D 9. rolling 3, 4, 5, or 610. rolling anything but 1 .,--Ic0CIJ:0 11. A hat contains 26 cards, each printed with a different letterof the alphabet. What is the prob?bility that you will pick a.vowel (A, E, I, 0, U, or Y)?CalECIJ 0u.:t::00(/)@12. There are 6 blue socks, 7 white socks, and 8 gray socksin a drawer. If you pick a sock without lo king, what is theprobability that it will be blue?IIII·II

1If students need more help on addingand subtracting whole numbers, use ·F36and F37 in the Math Diagnosis andIntervention System.1m 201 .5a 19820 6156. 9809m 3111m 27913. 58815m 1,296.3.1.10.12.14.16.1,1 095641092211,3012,1094. 1798. 9017. 491 cards.REVIEW 2If students need more help on addingand subtracting decimals, use 117 in the·Math Diagnosis and Intervention 3 530,05 .15. 829.2 mi2.4.6.8.10.12.140mE.0) &15'0CI)@7,770'8m 74,30410" 8,80012m 49,68014m 64016m 4,8961bREVIEW 4If students need more help onniultiplying decimals, use 120 through 123in the Math Diagnosis and InterventionSystem.1.3.5.7.123.21.2817.8452.142'9 1tL8111. 37813. 40415. 2,187.5 88i .47 59.978.4REVIEW 599.78If students need more help on dividingwhole numbers, use G52, G54, G66, andG67 in the Math Diagnosis andIntervention Syst m.0.270.46127.41112.9116. 5.21. If students need more help onmultiplying whole numbers, use G59 inthe Math Diagnosis and InterventionSystem.i. 6463 . 3289,07239,1955,94020,9794403,620504 miles11.05REVIEW 3c1m9.11m13.15.11"2.2,4084. 1,1961.3.5.7.9.11.13"198331947582 . 66'4. 2266. 358. 3510. 8312. 14514.:.3654010215. 19 points per game

REVIEW 6If students need more help ondividing decimals, use 126 in the MathDiagnosis and Intervention System.1.3.5.7.9.11.13.2.315.795.66.733.6448.47 3.79 per EW 9If students need more help on linesand angles, use K46 and ·K4 in the"Math Diagnos·is and Intervention System.1. intersecting and perpendicular2. parallel3. intersecting4. straight5. obtuse6. acute'7,; right8. obtuse10. straight9. right11 acute12.36 secREVIEW 7If students need more help on problemsolving, use Mi0 and M12 in the MathDiagnosis and Intervention System.1. division; 33 teams2. addition; 45"0.25 Ib3. subtraction; 48.054. division; 0.60 per minute5. multiplication; 4.74REVIEW 8If students need more help oninterpreting data, use L3, L5, and L25 inthe Math Diagnosis and InterventionSystem.REVIEW 10If students need more help on addingand subtracting fractions, use H29 andH31 in the Math Diagnosis andIntervention System.111. 127 .95.'22 archers2 bull's eyesAprilMarch ,.5. 1st and 5th6. About 1 ,600- 1 ,700 . 54.756. '627. 15'58. 2499. 10910. 10. .I I.1.2.3.4.112. 12 12-I" &i.13 hour- )j)

,,,!!'If students need more help 'on ratio nd. proportion, use 130 anql31 in.the Math. Qiagnosis and Intervention System.If students need more help onmeasurement, use K2 and K6 throughKi9 in the Mattt Diagnosis andIntervention Syst?m.1m 10853a 3004m 2"6 . 40,0008 . 2,64010. 4,3005,0009. 104125,00013s 6.758.1938. 88 em10. 48 mintann::lntinn \I tAmCo"" "., " .,., '-'J'"'. III I 1. 63 in 23. 72 m22 . 5 ft24 . 32 in25 46.5 cm 26.a6 12 1821 42 639.48 20 40'5 10 25 5010. 18 in.11m 8 moons6 Lf ft28. 180 mm 210. 25 ft21'21. 62. 153.15,. ·106 37. 0:45.590 0.78 10. 0.041'3. 314. 6.317. 40 studentsREVIEW 17If students need more help on area,use K25 and K28 through K30 in the7 . 40 in 29. 4.5 yd 211 75,000 yd 21210 15 209REVIEW 19If students need ore help on percents,use 136 in the Math Diagnosis andIntervention System.1.11. 468 ft A-nt"hI ni!:lrtnncic!:ln LJI I.""""-"IU '-"11"-'1272. 124.9 m60 13.5 yd7. 7 in.3 . 614. Yes, by 1.2 ozio 2830 8 ft5 72. in.IVIC41. 435 . -yes. REVIEW 16If students need more help onperimeter, use K26 in the MathDiagnosis and Ifltervention System.90 20 in. '.15a 10011 .t4.348. 0.16: iV11. 812. 415. 3.516. 11618. 38 problemsREVIEW 20If students need more help on .probability, use L 18 in the MathDiagnosis and Intervention System 31. 825. 3290 312. "4303'6. 17."610.56"11311. 1314. '218.2'12.72c:Cl1Een J::15o(f)@

Nrune -'----N e---- ---- ---- -----------------------Geometric Ideas ractions, Decimals, and Perc nts A line Is a path of poInt that goes on forever Ir1J'tiQMdirections. AS, GK. A ray Is a part of a line w!ihone endpoint, extending foreverNP0SRTFractions, decimals. and pe;-cents all name parts of awhole. The grid to the right has 72 out of 100 squaresshaded.72 out of 100 ere shaded. As a fraction, that Is-&.As a dec/mal, that Is 0.72. As a percent, that is 72%.Inonlyone .Examples: ro, FB; A line segmentls part of a linewith two lnls.Examples: CF, MO.WrIte 40% as a fractJon and decimal. A midpoint the point halfwaybetWeM the endpoInls of a linesegment. Example: Poln! L alfwaybetween poInts J and M on JM.The declnial poirit moves two places tothe left. Fin In any spaces with zeros.as a fraction and percent.Write0.47;"& 47%t i&J.f Sample' answers:n 75So. t 0.75 75%.1. ine E!I, .19, 81Write each Ifo two other ways.2. ral CU,DT3. two lines that Intersect Dr GLpFK4. ngruent line segments0.20 .20%0.7.70%-. --n;-4. 97%5.16%0. 6 . 6.52%0.23 .23%;100;Q.970.52.i-7. 0.044%8. 0.3535%1.-to-3.to-2.f&r--- ---. '9. Num r Sense Sheila got 87%EH,IJ5.t as a decimal and percent.You Cllll use a propc)ruori: p are In !he S3J!l1l plane but do not Intersect.Example: AS Is parallel to ST.Use the diagram at the right. Name the following.f&r 0.0030.3% The decimal point moves two places tothe·1eft.Write 0.47 Conuruet!! line eegrnen\ lII!.l.ine segments that have the same length. ple: OR Is congruent to ST.Write 0.3% as a fraction and decimal.40% -& 0.40Patrick got-gr---o--; of the problem correct.Patr."ckfo\r correct. Who scored higher? es endicular to BRFK,GL6. two midpoints 6f line segmentsOn m, I on BJBU. whh Lassoo 9-1.101Uss with Lessori 7·2.77NruneNrune ,-Multiplying. Mixed NumbersAdding M'ixed NumbersTo add mixed num , you can add the fractional parts to the hole. number parts, and then simplify.How to find the product of two mixed num rs:Flnd3!x4}.EstlmIlte by roundlnQ.-t.ool for commonfactors end simplify.Flnd33-Step 3Step 2Step 1 4lWrJta equIValent fracUonswllhth6lCO.MuHlply. Wrl\. lIle productas a mixed number.3t 3t 4t"" 4t1lG2"Isc:losato20. . sothereasonable.4 3 7 &nsWer IsThen wrl\a eadl mlKodI1\II11ber as an Improperfraction.3 at.FlndHAdd th6 whole numbers;!hen edd tho fractlo. .X4t! ! X FInd each product. S Plify if possible.1. 2tX3} 3. 6x 3t 5. 4}X16 90 1192"72·2. 2t X2 t 4. 15 t x 3t 46.1jX2-} 5 .FInd each sum. Slmpl your answer. 131. 2 ,12p3.3 1635-65t lir 5 1 %5.6t 11j 4.8f i .ft 1 0-. . ;;4i1706.7 .8* 1 5 -.:. 37. In 2001, the m 's iodoorpole vault record Was 20tft.7. NurnbM Sense Is 2 x 17i greater than or less than 36? Explain. 5 The women's record for the indoor pole vault was 15ft ft.What Is the combined height of the two records?Less, because 2 x 18 36. 176 isless than 18, so the product is lessthan 36.Uso.,.;th L"""" &-4.45 2, .'tl9r------- 2. 4t it -"'--11------if.r57a.73512 ftW1"g In.Math How high Is a stael of library books If one bookIs l1-r In. high, the second book isIn. high, and the third Is2"3" ' igh? Ex,ef!!1n how you solved this problem.if5'24 in.; You need to find the LCD tosolve this problem.UsowilllL.,.,4-5.49

N Na Area of Squares and ReotanglesCustomary Measurement. You can usa fonnulas to find the area of 11 square 0( rectangle.eachslda.PlOd the area of a rectangle with a length(/) of 4 em and a width (w) of 12 em.Units of Lengthfoot (ft)1 ft 12 in.cup (c)1 c 8 fluid ounces (oz)Use the fonnulaA !l.Use the forrnulaA I X w.yard (ye!)1 yd 3 ftpint (pt)1 pt '" 2 c1 yd 361n.quart (q1)1 q1 2 ptmile(mij1 mi 5,280ftgalion (gal)1 gal 4 qtFlod the area of a square that Is 7.2 m onA (7.2fA 4 x 12A 51.84A 482The area is 51.84 rrf.Th9 area Is 48 cm 1 ml '" 1,760 ydHow to change from one unit of measurement to another:And the area of each figure.1'0Units of Capacitya.3cmTo change from larger unns to smalierunits in the customary system, you haveto mUltiply.To change from smaller units to largerones, you have to divide.256 oz c120yd ft1c 80z1 yd 3ft120X256 8 323 ft 360 It256 oz 32 c120yd 360 ftComplete.68.89 cm 23801. 36 in.3. 51b5. 1.5ml7. 2T9. 64 oz77.44 fe26.46·km 22.4q1-164. 39ft - 137,9204,000411. 4gal 32ItIbIbptyd148.16Pt- 810. 3yd - 10812. 55yd- 1656. 3.5 gal -q1q\in.13. 6.5 Ib 1045. Reasoning What Is the length of a rectangle that hasarea of 120 ft2 and a width of 8 ft?15 ft15. 4.5.qt186. Number Sense What Is the area of a square that Is12.4 em on each side?153.76 cm 217. Reasoning A vendor at a festival selis soup for 1.25 per cup or 3.75 per quart. Which Is the better buy?anozNamsMetric 'MeasurementR·1()'2UsowllhLessonl()'1.Name3.8L · mL·To change from a smaller unit to a largerunit, divide by a power of ten.100m --km1 L 1,OOOmL3.8 x 1,000 3,8003.8 L 3,800 mLThe meter Is a sfnallerunit than thekilometer. To change from meters tokilometers, divide. Measuring n Drawing AnglesChanging from one metrio unit to another:A liter Is a larger unit than a milliliter. Tochange from mers to milliliters, multiply.gal6 15 3.15 per quart is. the better buy.116To change from a'larger unit to a smallerunit, multiply by a power ofY,".14. 20 pt 2.516.205Yd-How to measure an engle:step 1 Pia"" the pro or's center on the angle'.vertex.step 2 Place the 0' marl on on Isid. 01 theangle.How to draW an angle:Draw an angle of 52'.Slop 1 Draw rrq.Stej, 2 Place tho p!'Ob1ICtor's cent.,. on theilodpoint. lIO l up the ray with the O'marl .stop 3 Using tho sCale with the 0' marl . p!aoo 1,606 in 1 kmpoIo\at52' .100 1000 '0.1Stop 4 Draw the other ray.iOOm 0.1 kmName the most appropriate metric unit for each measurement.1. mass of a cow2. length of a carrot3. capacity of a thimbleemkg,!.!mC!.:l 5 m45 20004!500B. 28cm-10. 600280em 6mg14. 0.780 L 780f8 16. 9,000 em -90;3.451»6807. 1.66 L9. 7,658 g - 7.65811. 5,OOOmg 55.3450mLmmmmm12. 5.1 km - 5,100iLMN 60'stop 3 Use the scala begOmlng with the 0- mllll tor&a lthG whoIetheoth rs!dGof13. 1.780L- 1,780mLm15. 4,300 m17. 6,090 mg4.3cLA8C 52'L·mLkgmLAcute; 50 0kmDraw an angle with each measure.818. Reasoning It is recommended that people have 1 g ofcalcium each day. How many milligrams of calcium is that?1,000.rn9U,.wllhL cnl().2.1'17Straight; 1800

N Na Area of Squares and RectanglesCustomary MeasurementYou can US!I fol1l1Olas to flnd the area of a square Of rectangle.find the area of a square that Is 7.2 m oneach side.Use the formula A 52.F'1Od the area of a rectangle with a lengthUnits of Length(I) of . em and a WIdth (w) of 12 em.foot (ft)1 It 12 in.yard (yd)1 ydUse \he formula A I xA"" (7.2fA .A 51.84Aw.x 12 48mile (mi)The area Is 51.64 rTf. 3 It1 c 8 fluid ounces (oz)pint (pt)1 pt 2 c1 yd 36 in.quart (qt)1 qt 2 pt1 mi 5,280 Itgallon (gal)1 gal 4 qt1 ml 1.760 ydHow to change from one unit of measurement to another.Rnd fua area of each figure.1'0Units of Capacitycup (c)To change from larger units to smallerunits in the customary system. you haveto multiply.S.3cm120yd ftTo change from smaller units to largerones. you have to divide.2560z c1c1 yd 31t256120 X 3 ft 360 ft 80z-1-8 32256 oz 32 c120yd 360 ft68.89 cm 2Complete.1. 36 in.-33. 51b805.1.5m!9. 64 oz 43213. 6.5 Ib 10426.46·km 211. 4 gal5, Reasoning What Is the length of a rectangle that hasarea of 120 If- and a width of 8 It?15 it6. Numb&!' Sense What Is the area of a square that Is12.4 em on each side?153.76 cm 2an15. 4.5.qt Metric 'MeasurementR·i()'2Changing from one mebie unit to another:1 L 1,OoomL3.8 X 1,000 3,8003.8 L 3,800 mLqt810. 3 yd 10812. 55yd 16514. 20pt 2.516. 205 yd 6158. 16pt!bpt.18qtin.gal 3.75 per quart. Which Is the better buy?123Namschange from Inero to milliliters, multiply.!byd17. Reasoning A vendor at a festival sells soup for 1.25 per cup or116A liter Is a larger unit 1han a milliliter. Toft 3.75 per quart is. the better buy.U. wi\hLo sooI0-a.To change from a'larger unit to a smallerunit, multiply by a power o(ten.3.8L · mL'oz7,9207.2T-4,OOO164. 39ft 136. 3.5 gal 142.4qtTo change from a smaller unit to a largerunit, divide by a power of ten.1oom kmThe meter Is a smaller unit \han thekilometer. To change from mataro tokilometers, divide.Us.wlthLessontG-t.Name ---Measuring n Drawing AnglesHow to draw an angle:How to measure lUI engle:Slop 1 Pia"" !he protmclor'. comer on !he anglo'.vertex.Draw an angle of 52·.step 1 Draw step 2 Pia"" !heO'mao1 on on. side of !heangle.ruy.SUi 2 Place !he protmolor's comer on !heOodpoint. \Jo ! up !he

Sixth Grade Summer Math Packet ----- . The attached packet provides a range of activities that review and e:xp-a-nd on the math concepts yourchi·ld has learned in . It is designed to be worked on for 15 to 30 minutes a day throughout the summer, rather tha