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Scoreboost for CASAS NEWA L I G N E D T O C A S A S R E A D I N G A N D M AT H G O A L SA N D C C R S TA N D A R D S , E A C H W O R K B O O K F E AT U R E STA R G E T E D I N S T R U C T I O N I N A N E A S Y- T O - F O L L O W F O R M AT : Strategy reviews an important CASAS skill Example shows the strategy in use Guided Practice facilitates critical thinking skills Independent Practice reinforces skills taught in the lesson CASAS Practice and detailed explanations ensure test readinessSOLD IN CONVENIENT 10-PACKS BY SUBJECT OR AS A VARIETYPACK WITH ONE OF EACH SUBJECT PER LEVEL. Level A: Reading Level 0-2 Level C: Reading Level 6-8 Level B: Reading Level 2-5 Level D: Reading Level 9-10

STRATEGY 2Compare and Round NumbersEach digit in a whole number has a place value. The value of each place is 10 times the value of the place to its right.A place-value chart can be used to identify the place value of each digit in a number.Hundred ThousandsTen ThousandsOne ThousandsHundredsTensOnes283,346In the number 283,346, the 3 in the thousands place has a value that is 10 times the value of the 3 in the hundredsplace.To compare decimals, align the numbers on the decimal points. As with whole numbers, compare from the greatestplace, moving right if needed. The following symbols are used to compare numbers. is greater than is less thanis equal toPlace-value charts can be used to compare two or more numbers. Compare 84.67 and 84.81.TensOnes8484.TenthsHundredths6781Compare from the greatest place, which is tens: 8 8. Compare the next greatest place, which is ones: 4 4. Comparethe next greatest place, which is tenths: 6 8. So, 84.67 84.81.Place values are also used when rounding numbers. To round a number to a specific place, look at the digit to the rightof the rounding place. If the digit to the right is 5 or greater, add 1 to the rounding place. If the digit to the right is lessthan 5, keep the digit in the rounding place. In both cases, replace the digits to the right of the rounding place withzeros, including place values after the decimal point.E xa m p l e 1Round 38.409 to the nearest hundredth.Look at the digit in the thousandths place. The thousandths place contains a 9, so round the 0 in the hundredthsplace up to 1. Replace the digit to the right with 0. New Readers Press. All rights reserved.38.409 rounded to the nearest hundredth is 38.410.Pages from Scoreboost for CASAS - Level B: Math Book 1, Strategy 27

Ex a m p l e 2Which symbol completes this statement?4.37 4.364Align the decimals on the decimal point.4.374.364The decimals have the same number of whole-number places. The number of decimal places does not tell whetherone number is greater than or less than another. You must go from left to right and compare each place value.Compare from the greatest place, which is ones: 4 4.Compare the next greatest place, which is tenths: 3 3.Compare the next greatest place, which is hundredths: 7 6.So, 4.37 4.364.Ex a m p l e 3The odometer of Rick’s car reads 27,364 miles. What is that number rounded to the nearest thousand miles?Look at the digit in the hundreds place, 3, which is to the right of the rounding place.Because 3 is less than 5, keep the 7 in the thousands place. Replace all digits to the right of the 7 with zeros.The odometer on the car reads 27,000 miles, rounded to the nearest thousand miles.1. Complete the statement.36.208 36.28 THINKSolution:The numbers have the same whole-number values and thesame values in the tenths place. In the hundredths place,0 8.I need to align the numbers on the decimal point.36.208 36.288 Pages from Scoreboost for CASAS - Level B: Math Book 1, Strategy 2 New Readers Press. All rights reserved.GUI D E D PRA CT I C E

2. Which numbers round to 400 when rounded tothe nearest hundred? Select all that apply. C. 406Solution:In 350, 5 is in the tens place, so round up to 400. In 376,7 is in the tens place, so round up to 400. In 406, 0 is inthe tens place, so round down to 400. In 450, 5 is in thetens place, so round up to 500. In 499, 9 is in the tensplace, so round up to 500.THINK(A) 350, (B) 376, (C) 406A. 350D. 450B. 376E. 499I am rounding to the nearest hundred, so I need tolook at the tens place.IN D E PEND E N T P R ACT I C E3. Len says that 4.32 4.315 because 32 is lessthan 315. Is Len correct? Explain.8. Usain Bolt has won three Olympic gold medalsin the 100-meter dash. His winning times, inseconds, are shown in the table.YearTime20089.6920169.8120124. Complete the statement.6.052 6.065. Which decimal is less than 2.1?9.63Part AWrite a math statement comparing Bolt’s time in2008 to his time in 2016.A. 2.14B. 2.102C. 2.098D. 2.106. An outdoor thermometer shows a temperature of78 degrees Fahrenheit. Round 78 to the nearestten. New Readers Press. All rights reserved.7. A book about ships has 305 pages in it. Roundthe number of pages to the nearest hundred.Part BWrite a math statement comparing Bolt’s time in2008 to his time in 2012.9. Michelle is mailing a package that weighs912.437 grams. What is the weight rounded to thenearest tenth?A. 912.440C. 912.400B. 912.430D. 910.000TEST TIP: When comparing two decimals, write thenumbers one above the other and align the decimalpoints. This lets you easily compare each place value.9

C ASA S PRA CT I C E10. The table shows the lengths of four trails in astate park.TrailDistance (km)C. 0.382 0.385Blue6.25D. 0.382 0.385Red6.3White6.1856.19Part AWhich statement comparing the Blue and Redtrails is true?A. 6.3 6.25B. 6.25 6.3C. 6.3 6.25D. 6.25 6.3Part BWhich statement comparing the Green and Whitetrails is true?A. 6.185 6.19B. 6.185 6.19C. 6.19 6.185D. 6.19 6.185Part CHow many of the other trails are longer than theGreen trail?A. 0B. 1C. 2D. 311. Kamal drove 245 miles. What is 245 rounded tothe nearest hundred?13. Lisa’s bakery sold 357 blueberry pies last year.What is 357 rounded to the nearest ten?A. 300C. 360B. 350D. 40014. What is the greatest whole number that wouldround to 400 when rounding to the nearesthundred?A. 399C. 449B. 401D. 45015. In the 2010 U.S. Census, Bakersfield, CA, had apopulation of 347,383. What is that number ofpeople rounded to the nearest thousand?A. 300,000B. 347,000C. 348,000D. 350,00016. A road project is going to cost 287,419.Engineers often use rounded numbers in theirreports. What is the cost rounded to the nearestten thousand dollars and to the nearest hundredthousand dollars?A. 290,000 and 300,000B. 290,000 and 287,000C. 290,000 and 200,000D. 280,000 and 300,000C. 250D. 30010 Pages from Scoreboost for CASAS - Level B: Math Book 1, Strategy 2 New Readers Press. All rights reserved.GreenB. 240A. 0.382 0.385B. 0.385 0.382Hiking TrailsA. 20012. Which math statement is true?

STRATEGY 4Understand Common AbbreviationsAbbreviations are shorter ways of writing words. Signs, labels, forms, and ads use abbreviations so that they canput more information in a smaller area. Common abbreviations include days of the week, months of the year,measurements, addresses, titles, and state names. Most abbreviations have a period at the end. State names use onlytwo capital letters and do not need a period. Abbreviations of words that are usually capitalized are also capitalized.Other abbreviations are not prilApr.FridayFri.May(There is no abbrievation for ug.SeptemberSep. or sqt.CourtCt.pint/pintspt.ApartmentApt.16 PagesUnit 2: Interpret Language and Vocabularyfrom Scoreboost for CASAS - Level B: Reading Book 1, Strategy 4 New Readers Press. All rights reserved.Days of the Week

C ASA S PRA CT I C E6 . Read the package .8 . Read the form .CREDIT APPLICATIONIMPORTANT: Please return this form to Mr. WilliamsMon. through Thurs. from 7:00 a.m. to 9:00 a.m.DATE:NAME:What should you do when you complete the creditapplication?How much does the bag of flour weigh?A . 5 kilogramsB . 5 ouncesC . 5 gramsD . 5 pounds7 . Look at the mailbox .A . Give it to Mister Williams on either Monday,Tuesday, Wednesday, or Thursday between7:00 and 9:00 in the morning .B . Give it to Miss Williams on Monday, Tuesday,Wednesday, or Thursday between 7:00 and9:00 in the morning .C . Give it to Missus Williams on Monday orThursday between 7:00 and 9:00 at night .D . Give it to Missus Williams Monday, Tuesday,Wednesday, or Thursday between 7:00 and9:00 at night .9 . Look at the truck .What is the address of this mail box?A . 421 HollyB . 421 Holly StreetC . 421 Holly DriveHow far should you stay from the truck?A . 100 feetB . 100 yardsC . 100 metersD . 100 inches18 Unit 2: Interpret Language and Vocabulary New Readers Press. All rights reserved.D . 421 Holly Doctor

GUI D E D PRA CT I C E1. Gerard has 6 folders with the same number ofdocuments in each. He removes 2 documents fromeach folder. Which expressions could be used to findthe total number of documents now in the folders?Select all that apply. A. 6d – 2D. 6(d 2)B. 6(d – 2)E. 6d – 12C. 6d 2F. 6d 12THINKHow can I translate the given information into anexpression?Solution:Use d to represent the number of documents in eachfolder. Subtract 2 from d because 2 documents are beingremoved from each folder: d – 2There are 6 of these folders, so multiply by 6: 6(d – 2)Distribute 6 to each term within the parentheses to get6d – 12.2. Raschel runs a pizza parlor and bought 24 cansof tomatoes for making pizza sauce. The totalcost of the canned tomatoes was 90. Whichequation can be used to find the cost, in dollars,of each can, c?A. c 90 24B. 90 – c 24C. 24c 90D. 90c 24 THINKWhat amount is the total value?Solution:The cost is the total, so put that on one side of theequation. 90Cost units price, so multiply the number of cans, 24, bythe cost of each can, c, and put that on the other side ofthe equation.(C) 24c 90(B) 6(d – 2), (E) 6d – 12INDEPEND E N T P R A CT I C E3. The price for peanut butter is shown. Whichexpression represents the price per ounce ofBrand A Peanut Butter, which weighs w ounces?5. A typical mortgage requires a monthly payment,m, for 30 years. If the final cost of a mortgage is 325,000, which equation could be used to findthe monthly payments?A. 325,000 m 30B. 325,000 m 360Brand APeanutButterw ozC. 325,000 30mD. 325,000 360mA. 3.75wC. w 3.75B. 3.75 wD. 3.75 w4. At an event, a family pays 29.99 for a meal and 2.99 for each drink. Which expression representsthe cost of the meal with d drinks?18A. 29.99 2.99dC. 29.99 – 2.99dB. 29.99d 2.99D. 29.99d – 2.99 New Readers Press. All rights reserved.w ounces for 3.75

C A SA S PR ACT I C E6. Shannon is making two recipes. One calls for2 eggs. The other recipe uses eggs, but she's notsure how many. She writes this down as x eggs.She wants to make 3 batches of both recipes.Which expression represents the amount of eggsthat she will need?A. 2x 310. Rosario is giving a patient medication that comesin tablets. Which expression represents the totalamount of medication in n tablets if each tablet is125 milligrams?A. 125 nB. 125 nC. 125 nB. 3x 2D. 125 nC. 2(x 3)D. 3(x 2)37. Marlon hiked for 1 4 hours at an average rate of14 2 miles per hour. Which equation correctlyrelates the amount of time Marlon spent hiking,his rate, and d, the distance he hiked?3113A. 1 4 d 4 2B. 4 2 d 1 43131C. d 1 4 4 2D. d 1 4 4 28. Audrey’s monthly mortgage payment, M, is0.325% of the purchase price, P. Which equationcorrectly shows this relationship?A. M 0.00325 PB. P 0.00325 MC. M 0.325 P11. Rae is in charge of staffing a project. Her totalbudget is B dollars, and every contractor will earnd dollars. Which expression represents how manypeople she can hire?A. B dB. B dC. B dD. B d12. The sum of the measures of the angles of atriangle is 180 . If one angle of the triangle is80 degrees and the other two angles are equal,which equation represents the measure of theunknown angles, x?A. 100 x 2B. 100 2xC. 260 x 2D. 260 2xD. P 0.325 M9. The temperature outside was –2 F when Cassarawent to bed. It dropped d degrees overnight to itslowest point. Which expression represents thelow temperature?A. –2 dB. d 2 New Readers Press. All rights reserved.C. –2 dD. –2 dTEST TIP: Expressions always contain a variable.Equations always contain an equal sign.Pages from Scoreboost for CASAS - Level C: Math Book 2, Strategy 519

STRATEGY 5Working with Percents Greaterthan 100% and Less than 1%You are probably most familiar with percents between 1% and 100%. However, there are percents that are less than1% and percents that are greater than 100%. For example, according to data from the National Weather Service,about 1 out of every 15,300 people is struck by lightning at some point in their lifetime. As a percent, this is 1 15,3000.0000654 100 0.00654%. This is a percent that is much less than 1%. In other words, it is an extremely rare event.There are also applications and uses for percents greater than 100%. Suppose that through last year you and yourspouse had just one child. This year, you find that you are expecting twins. The number of children in your home isabout to increase from 1 to 3. That is an increase of 200%. A percent that is greater than 100% is greater than theoriginal whole.Percent error measures how far a measurement or estimate is from an actual value. For example, if you measure thelength of a rope, your measurement might be slightly off from the actual length. The percent error is equal to theabsolute value of the difference between a measurement or estimate and an actual value, divided by the actual value.Ex a m p l e 1Write each percent as a decimal.(a) 3 %5(b) 0.025%(c) 140%(d) 1,000%To convert a percent to a decimal, divide by 100. Move the decimal point 2 places to the left.(a)First convert the fraction, 3 , to a decimal: 3 % 0.6%.55Then divide by 100. 0.6 100 0.006.(b)0.025 100 0.00025(c)140 100 1.4(d)1000 100 10.00Ex a m p l e 2(a) 1.5(b) 0.0001To convert a decimal to a percent, multiply by 100. Move the decimal point 2 places to the right.(a)1.5 100 150%(b) 0.0001 100 0.01%0.01% is one-hundredth of 1%. If you took a whole and divided it into 100 equal pieces, each piece would be 1%.If you took one of those pieces and divided it again into 100 equal pieces, one of those pieces would be 0.01%.20 Unit 1: Number SensePages from Scoreboost for CASAS - Level D: Math Book 1, Strategy 5 New Readers Press. All rights reserved.Write each decimal as a percent.

E xa m p l e 3The chances of finding a four-leaf clover is 0.001%. If a large field contains 1,260,000 clovers, how many of themshould have four leaves?First, convert 0.001% into a decimal by dividing by 100.0.001 100 0.00001Next, multiply by the number of clovers in the field.0.00001 1,260,000 12.6We can expect that the field contains approximately 13 four-leaf clovers.E xa m p l e 4Arthur measures the mass of a substance to be 5.60 g. The actual mass, as determined by his professor, is 5.55 g.What is the percent error in Arthur’s measurement?Find the absolute value of the difference between Arthur’s measurement and the actual mass. 5.6 – 5.55 0.05 0.05Write the ratio of the difference over the actual mass. Then write a proportion and find the percent error.0.055.55x 1000.05 100 5.55x5 5.55x55.55500555 5.55x5.55 100 0.900 x111% or 0.900%.The percent error was 100111 New Readers Press. All rights reserved.Pages from Scoreboost for CASAS - Level D: Math Book 1, Strategy 521

Ex a m p l e 5Last year, Ha Yoon made 800 selling household items online. This year, she made 150% of the amount she madelast year. How much did she make this year?First, convert 150% to a decimal by dividing by 100.150 100 1.5Next, multiply by the amount she made last year.1.5 800 1,200Ha Yoon made 1,200 selling household items online this year.Notice that this amount is greater than the original whole amount, 800, because the percent is more than 100.GUI D E D PRA CT I C E1. There are 600 students that attend PleasantValley Elementary School. Of these students, 88%ride the bus, 11.5% are dropped off, and 0.5% walkto school. How many students walk to PleasantValley Elementary School?2. Alyse invested 350 in a savings account. At theend of the year, her account is worth 104% of theoriginal value. What is the value of her account atthe end of the year?A. 354B. 360We are only interested in the number of studentswho walk, so we need to determine the value of0.5% of 600.Solution:First, convert 0.5% to a decimal by dividing by 100.0.5 100 0.005Next, multiply by the total number of students at PleasantValley Elementary School.0.005 600 3There are 3 students that walk to Pleasant ValleyElementary School.22C. 364THINKD. 454 THINKWhat is 104% written as a decimal?Solution:First, divide by 100 to write 104% as a decimal.104 100 1.04Next, multiply by the amount that Alyse invested. 350 1.04 364At the end of the year, Alyse has 364 in the account.(C) 364 New Readers Press. All rights reserved.

IN D E PEND E N T P R ACT I C E3. Which of the following is equal to 0.0035%?A. 0.000035B. 0.0355. A lottery game has a 1 out of 1,000 chance ofwinning. What percent of players can expect towin this game?A. 0.001%C. 0.35B. 0.01%D. 35C. 0.1%D. 1%TEST TIP: When dividing by 100, move the decimalpoint two places to the left. When multiplying by 100,move the decimal point two places to the right.4. Jamal had a minor accident and had to makea claim on his insurance policy. As a result,this month’s bill is going to be 115% of lastmonth’s bill. Last month, Jamal paid 107 forcar insurance. How much will he have to pay thismonth?A. 108.15C. 123.05B. 119.00D. 222.006. Jimmy estimates that a pitcher holds 4.52 litersof liquid. It actually holds 4.50 liters. What is thepercent error between his estimate and the actualvolume of the pitcher?4A. 9 %B.94%C. 10.04%D. 100.4%C A SA S PR ACT I C E7. Which of the following is equal to 1.05?A. 0.0105%B. 0.105%C. 10.5%D. 105%8. In 2019, there was hail twice in Pittsburgh, PA.Approximately what percent of the days did it haillast year in Pittsburgh, PA?A. 0.005% New Read

people rounded to the nearest thousand? A. 300,000 B. 347,000 C. 348,000 D. 350,000 16. A road project is going to cost 287,419. Engineers often use rounded numbers in their reports. What is the cost rounded to the nearest ten thousand dollars and to the nearest hundred thousand d

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