Name Date 1–1 Problem-Solving Practice 5NS1
DateProblem-Solving Practice5NS1.4Prime Factors1. There are 13 flavors at a local icecream parlor. Is the number 13 aprime number or a composite number?If it is composite, write the number asthe product of prime numbers.4. Hope used a factor tree to factor thenumber 240. How many “branches”will be at the bottom of this factortree? Write the number 240 as theproduct of prime numbers.Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.3. Sydney used divisibility rules to showthat the number 640 is composite.What will she write when she writesthe number as the product of primenumbers?6. Jesse drew a factor tree of a compositenumber and ended up with 4 2 5 2 3 as the prime factorization. Explainwhat is wrong with this factorization.What is the correct prime factorization?What is the composite number thatwas factored?5. Cruz and his friend, Penny, need todetermine what numbers are primeand what numbers are composite fora homework assignment. Cruz saysthat the number 5 is a compositenumber because it has the factors 2and 2.5. Explain what is wrong withhis reasoning.Grade 52. Martina ate 27 raisins. Is the number27 prime or composite? If it iscomposite, write the number as theproduct of prime numbers.11Chapter 1Chapter Resources1–1Name
1–2NameDateProblem-Solving Practice5NS1.3, 5NS1.4Powers and Exponents1. Lou wrote 3 4 in standard form. Whatwas the number?2. Heidi’s family drove 1,000 mi onvacation. Write this number using abase and an exponent. Use 10 as thebase.3. Halle’s family is buying new carpet forher bedroom. The room is 4 yards longand 4 yards wide. Write the area usinga base and an exponent. Rememberthat area is calculated by multiplyingthe length times the width.4. Lupe emptied her bank and has144 pennies and 121 nickels. Writeeach of these numbers using a baseand an exponent. For the pennies use12 as the base; for the nickels use 11as the base.Grade 56. Very large and very small numbers inscience are often written using basesand exponents. For example, the sunis approximately 1.5 10 8 km fromEarth. Write the distance in standardform.16Chapter 1Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.5. For a punch bowl, Carin needs a blockof ice with a volume of at least125 cubic inches. She has a cubeof ice that is five in. on each side.Write the volume of the cube using abase and exponents. Then write it instandard form. Is the block of ice bigenough? Remember that volume iscalculated by multiplying length timeswidth times height.
1–3NameDateProblem-Solving Practice4AF1.22. Frank evaluated the expression8 2 - (2 6 3). What washis answer?1. Ted evaluated the expression2 4 6. What was his answer?3. Francisco wrote the number 3 10 2in standard form. His answer was 900.What mistake did he make in order ofoperations?4. Glenn ate 2 apples a day for a week. Inaddition to the apples, he ate 3 pearsduring the week. Write the expressionthat shows how many pieces of fruithe ate during the week.Evaluate the expression.What is the correct answer?Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Chapter ResourcesOrder of Operations5. Create an expression whose value is12. It should contain four numbers andtwo different operations.6. Keiko’s class collected coins to buyfood for a local family. When Keikocounted the coins, there were27 quarters, 92 dimes, 140 nickels,and 255 pennies. Her teacher offeredto add an amount to the total, equalto what the students collected. Whatexpression did he use to find out howmuch money they had?Evaluate the expression.Grade 521Chapter 1
DateProblem-Solving Practice5AF1.2Algebra: Variables and ExpressionsSolve.1. Jaynee’s friends ate 4 applesmore than her family ate. Write anexpression for how many applesJaynee’s friends ate.2. Ian walked 5 blocks home from school.His friend Kim walked x blocks farther.Write an expression for how far Kimwalked.3. Carmen took her newspapers andaluminum cans to the recycling center.She weighed everything and found thatshe had 24 pounds more newspapersthan cans. Write an expression for theweight of the newspapers, using c as avariable.4. Hannah’s grade on her last math testwas 4 points less than Mark’s grade.Write an expression for Hannah’sgrade, using m as a variable.Find the value of the expression ifm 92.Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Find the value of the expression ifc 12.5. Ron made cookies for the fair. Hissister made candy. Four cookies werepackaged together, and 6 pieces ofcandy were packaged together. Therewere 6 more packages of cookies thanpackages of candy. Write an expressionfor the number of packages of cookies,using p as a variable.6. Michael went to the water park. Hespent 2 hours longer on the waterslides than he did in the wave pool.If t represents the hours on the waterslides, write an expression for the timehe spent in the wave pool.Find the value of the expression ift 4.Find the value of the expression ifp 8.How much time did he spend at thewater park?hoursHow many cookies and pieces ofcandy were taken to the bake sale?cookiespieces of candyGrade 531Chapter 1Chapter Resources1–5Name
1–6NameDateProblem-Solving Practice5AF1.2, 5AF1.5Algebra: Functions2. ROLLER COASTER Twelve people areable to ride the Serpent of Fire rollercoaster at one time. Write a functiontable that shows the total number ofpeople that have been on the rollercoaster after 1, 2, 3, and 4 rides.3. MOVIES At the local movie theater itcosts 10.00 for 2 students to see amovie. It costs 15.00 for 3 students,and it costs 20.00 for 4 students. Letthe number of students be the input.What is the function rule that relatesthe number of students to the costof tickets?4. HOMEWORK At Elmwood MiddleSchool, sixth graders spend1 hour every night doing homework.Seventh graders spend 2 hours, andeighth graders spend 3 hours. Letthe students’ grade be the input.What is the function rule betweenthe students’ grade and the amountof time the students spend onhomework every night?5. BEADS A bead shop sells woodenbeads for 3 each and glass beadsfor 7 each. Write a function rule torepresent the total selling price ofwooden (w) and glass (g) beads.6. Use the function rule in Exercise 5 tofind the selling price of 20 woodenbeads and 4 glass beads.Grade 536Chapter 1Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1. DRAGONS The Luck Dragons thatlive in the Enchanted Forest weigh4x pounds when they are x yearsold. Write a function table that canbe used to find the weights of 6-yearold, 8-year old, and 10-year old LuckDragons.
1–8NameDateProblem-Solving Practice5AF1.1, 5AF1.2Algebra: EquationsFor Exercises 1–3, use the table that gives the average lengths ofseveral unusual insects in centimeters.InsectWalking stickGoliath beetleGiant wetaHarlequin beetleLength (cm)1515107InsectGiant water bugKatydidSilkworm mothFlower mantisLength (cm)65432. The equation 7 y 13 gives thelength of a Harlequin beetle and oneother insect. If y is the other insect,which insect makes the equation atrue sentence?3. Bradley found a silkworm moth thatwas 2 centimeters longer than average.The equation m - 4 2 representsthis situation. Find the length of thesilkworm moth that Bradley found.4. A Monarch butterfly flies about 80miles per day. So far it has flown 60miles. In the equation 80 - m 60,m represents the number of milesit has yet to fly that day. Find thesolution to the equation.5. The nymphs of some cicadas can liveamong tree roots for 17 years beforethey develop into adults. One nymphdeveloped into an adult after only13 years. The equation 17 - x 13describes the number of years lessthan 17 that it lived as a nymph. Findthe value of x in the equation to tellhow many years less than 17 years itlived as a nymph.6. A harlequin beetle lays eggs in trees.She can lay up to 20 eggs over 2 or3 days. After the first day, the beetlehas laid 9 eggs. If she lays 20 eggsin all, how many eggs will she layduring the second and third days?Grade 546Chapter 1Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1. The equation 15 - x 12 gives thedifference in length between a walkingstick and one other insect. If x is theother insect, which insect is it?
DateProblem-Solving Practice5AF1.2, 5MG1.4Algebra: Area FormulasSolve.1. Felicia wants to clean the rug in herroom. She buys carpet cleaner that willclean 40 ft 2. Find the area of her rug.Will she have enough carpet cleaner?2. Lori wants to buy a flower mat that hasseeds and fertilizer in it for her garden.She made a diagram of her garden.What is the area of the flower mat thatshe needs?6 ft9 ft6 ftCopyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.5 ft3. The playing area of a college’s footballfield measures 100 yd by 53 yd. Howmuch area does the football team haveto play on?5. You have 100 ft of fencing to make apen for your dog. You want your dogto have the biggest play area possible.What shape would you make the pen?Grade 54. Mr. and Mrs. Wilkes want to make apatio in their yard. The patio will be15 ft long and 10 ft wide. Each patio tilecovers 1 square ft and costs 2. Howmuch will they spend on patio tiles?6. The Carsons are putting a rectangularswimming pool in their backyard. Thepool will measure 20 ft by 12 ft. Theyplan to have a cement walkway aroundthe pool, which should measure 4 ftwide. What is the area of the walkway?51Chapter 1Chapter Resources1–9Name
DateProblem-Solving Practice5SDAP1.2Bar Graphs and Line GraphsCopyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Solve.1. Moesha volunteers at the zoo. Sheprepared a bar graph that shows thenumber of pounds of food eaten eachday, by each animal. What informationgoes on the horizontal axis?2. Dawn gathered information about thepopulation of each county in her state.If she prepares a bar graph of this data,what information will be displayed onthe vertical axis?3. Tim lives in New York. He prepares aline graph that shows the amount ofheating fuel used in his home for ayear. Will the line rise, remain level, orfall between August and November?4. In her social studies report, Suzanneincluded a bar graph that showedthe populations of different NativeAmerican nations in 1800. The intervalshe used was 2,000 people. If onenation had a population representedby 2.5 intervals, how many membersof this nation existed in 1800?5. Jon makes a bar graph that shows thenumber of dogs owned by membersof his class. If the smallest number is1 and the largest number is 4, whatinterval should Jon use?Grade 56. Anthony emptied his bank and made abar graph of the numbers of each typeof coin. The interval he chose was5 coins. If the graph showed 5 intervalsof quarters, 2 intervals of dimes,3 intervals of nickels, and 10 intervalsof pennies, what was the total amountof money in his bank?11Chapter 2Chapter Resources2–1Name
2–2NameDateProblem-Solving Practice5SDAP1.4Interpret Line GraphsPlants Height (in.)Rate of a Plant’s Growth from May through October121086420May June July Aug. Sept. Oct.Month1. Look at the graph. In what month(s) did the plant experience themost growth?2. In what month(s) was there the least amount of growth?Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.3. If the line graph continued, based on the pattern of growth you see,how many inches do you think the plant would grow from Octoberto November?4. Do you think this graph represents the pattern of growth for allplants? What are some pieces of information that graph does nottell you?Grade 516Chapter 2
2–3NameDateProblem-Solving Practice5SDAP1.2Chapter ResourcesHistogramsNumber of VisitorsVisitors to Metro Zoo1201008060402000–1415–29 30–44 45–59 60–74 75–89Age of VisitorsCopyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.Use the data from the table for exercises 1 and 2.1. How many visitors to the zoo werebetween 15 and 29 years old?2. For what age group were there60 visitors?3. How many more 30- to 44-years-oldvisitors were there than visitors 75 to89 years old?4. How many visitors in all went to MetroZoo on this day?Make a histogram on a separate sheet of paper.5. The following numbers are the high temperatures for the month ofApril in Baltimore, Maryland. Make a histogram for the data.45 52 49 43 55 42 58 49 50 54 47 56 46 62 60 54 59 45 61 58 63 53 51 59 48 52 55 53 50 57 6. How many days in April was the temperature in Baltimore 49 orless? How many days was the temperature more than 53 ?Grade 521Chapter 2
2–4NameDateProblem-Solving Practice5SDAP1.2Line PlotsSolve.2. Sean found that 6 of his classmateswore a size 5 shoe, 12 wore a size 6,10 wore a size 7, and 2 wore an 8. Ona line plot, which number would havethe greatest number of Xs above it?3. Deanna measured the length ofa piece of wood three times. Themeasurements were 25.67 cm,25.79 cm, and 25.71 cm. List themeasurements in the order they wouldappear on a line plot.4. Scott found that 12 of his classmateswore a size 5 ring, 9 wore a size 6, and3 wore a size 7. On a line plot of thisdata, is the number of students or thering size located by a number on thenumber line?5. Laura kept a table of the dailytemperatures during January inMinnesota. What changes might shehave to make in a number line thatstarts at zero and goes to 20, so thatit could be used to make a line plot ofthe temperatures?6. Tyler planted 25 seedlings. One grewto 6 inches in height, 13 grew to5 inches, 10 grew to 4 inches, and1 grew to 3 inches. On a line plot ofTyler’s data, which height would havethe least number of Xs over it?Grade 526Chapter 2Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1. Kyle surveyed his friends and foundthat 7 of them listen regularly to rockmusic, 5 listen to rap music, and 2listen to country music. Which type ofmusic would have the highest numberin a frequency table?
2–6NameDateProblem-Solving Practice5SDAP1.1MeanSolve. Find the mean to the nearest whole number.2. Clarence counted birds for a scienceproject in the park every day for aweek. He noticed 4 cardinals on thefirst day, 3 on the second day, 6 onthe third day, and none on the fourthday. What is the average number ofcardinals during the 4 days?3. Each of Tabitha’s friends has pets. Billyhas 3 rabbits, Terrence has 4 kittens,Sarah has 2 goldfish, and Brianna has1 dog. What is the average number ofpets Tabitha’s friends own? Rememberto round up to the nearest wholenumber.4. Shelly had 4 friends come to her houseto study one day after school. The nextday 6 friends came over to study, thethird day only 2 friends came over.What is the average number of peoplewho came to Shelly’s house?5. Jason downloaded songs for his MP3player every week for a month. Oneweek he downloaded 15 songs, thesecond week he downloaded 12, thethird week he downloaded 10, and thefourth week he downloaded 20. Whatis the average number of songs hedownloaded each week?6. Write a problem in which the mean ofa set of data must be determined.Grade 536Chapter 2Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.1. Janice is selling cookies for her scouttroop. One day she sold 10 boxes, thenext day 15, the third day she sold12, and on the fourth day she sold13. How many does she need to sellon the 5th day to reach her goal of anaverage of 13 boxes a day?
DateProblem-Solving Practice5SDAP1.1Median, Mode, and RangeSolve.4. Bonnie measured the hightemperature for each day of the week.Her readings were 20 C, 22 C, 22 C,20 C, 20 C, 24‚ C, and 25 C. What isthe mode?1. A convenience store sold 5 bottles ofSuper Cola, 6 bottles of Citrus Surprise,and 2 bottles of Mark’s Root Beer.What is the range of these data?Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.2. Bryan keeps score for the girls’basketball team. In the last game,Mary scored 12 points; Julia, 2 points;Heather, 5 points; Brittany, 10 points;Heidi, 7 points; and Michelle, 1 point.To the nearest tenth, what is themedian?5. In science class, Rosa measured thedistance traveled by a cart in 5 seconds.Her data are 4.6 ft, 2.3 ft, 6.9 ft, 4.4 ft,and 3.6 ft. What is the median?6. Rita walks almost every day forexercise. One week she walked9 blocks, 14 blocks, 10 blocks,11 blocks, 18 blocks, and 15 blocks.What is the median distance shewalked?3. Martin made 17 hits out of 51 times atbat in May. He made 12 hits out of45 times at bat in June, and 14 hitsout of 59 times at bat in July. To thenearest thousandth, what is his battingaverage at the end of July? To finda batting average, first find the totalnumber of hits, and add a decimalpoint and three zeros to the right ofthe number (for example, 12.000).Divide this number by the totalnumber of times at bat. Is a battingaverage a range, a mode, a median, ora mean?7. Mrs. Ramirez baked on five consecutivedays for her school’s bake sale. Shebaked 2 pies, 3 pies, 8 pies, 2 pies,and 6 pies. What is the mode of thenumber of pies Mrs. Ramirez baked?8. Jake is practicing for a marathon. Inthe last month he has run 12 miles,14 miles, 12 miles, 15 miles and11 miles. What is the median distancehe has run?Grade 541Chapter 2Chapter Resources2–7Name
Name2–9DateProblem-Solving Practice5SDAP1.2Chapter ResourcesSelecting an Appropriate Display1. Raymond wants to know how many of each kind of sports jersey heowns. What graph would you use to best represent the following?Sports JerseyNumber of Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.2. Hannah wanted to spend less money on clothes. Graph the amountof money she spent during a 6-month period and whether she mether goal to spend less. Explain your choice of graph.3.Friends’ BirthdaysXJan.XXXXXXXXXXXXXXXXXXXXXFeb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.Explain why this graph is the best choice to show this information.How might a person use the information this graph provides?Grade 551Chapter 2
2–10NameDateProblem-Solving Practice5NS1.5Integers and GraphingSolve.5. The temperature on a cold day inColumbus, Ohio, is four degrees belowzero. Where would this temperature befound on a number line?1. Frederico located -5 on a numberline. Marge located the opposite. Whatnumber did Marge locate?2. Valerie lives in a small communityin California. The elevation of thiscommunity is 300 feet below sealevel. Write an integer to represent thiselevation.6. Simon lives in a cold climate. Hemeasures the low temperatures forone week. These temperatures are0 F, 22 F, 1 F, 4 F, 26 F, 27 F, and 2 F.Write these numbers from least togreatest.7. Adam earned 45 at an after-schooljob. He received an allowance of 10.He went to the store with his motherand wanted to purchase a CD playerfor 60. He did not have his moneywith him, so his mother loaned himenough to make his purchase. Hewill pay her back. Write an integer torepresent the amount of money Adamhad to borrow.4. On the first play, a football teammoved the ball - 6 yards. On the nextplay, the team moved the ball exactlythe opposite. Did the team gain orlose yards on the second play? Howmany yards?Grade 58. The low temperature on Saturday was5 F. The low temperature on Sundaywas -9 F. Which day was colder?56Chapter 2Copyright Macmillan/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.3. Lan keeps temperature records forthe weather station at her school. Sherecorded a low temperature of 15 Fon Monday. The low temperature onTuesday was seven degrees lower thanthe low temperature on Monday. Thelow temperature on Wednesday wasten degrees less than the temperatureon Tuesday. What was the lowtemperature on Wednesday?
3–1NameDateProblem-Solving Practice5NS1.5Chapter ResourcesRepresenting DecimalsBASEBALL For Exercises 1–4, use
4. HOMEWORK At Elmwood Middle School, sixth graders spend 1 hour every night doing homework. Seventh graders spend 2 hours, and eighth graders spend 3 hours. Let the students’ grade be the input. What is the function rule between the students’ grade and the amount of time the students spend on homework every night? 5. BEADS A bead shop .
At Your Name Name above All Names Your Name Namesake Blessed Be the Name I Will Change Your Name Hymns Something about That Name His Name Is Wonderful Precious Name He Knows My Name I Have Called You by Name Blessed Be the Name Glorify Thy Name All Hail the Power of Jesus’ Name Jesus Is the Sweetest Name I Know Take the Name of Jesus
learn to solve problem through hands-on learning experience [16]. Problem solving is also defined as learning that uses the problems of daily activities and problem situations that are simulated as a context for learning mathematics [17, 18]. The problem in problem solving can also be non-routine problem. Non routine-problem is problem where
1 of 7 (A609) Residential Leasing Data Form - November 2018 Property Address MLS # List Associate Name List Date List Company Name Expire Date Owner Name Owner Phone *Listing Agent * List Date * Expire Date *House # Street Dir *Street Name *Street Type Post Dir Unit # *County *Subdivision *Tax Parcel # *City *Year Built Latitude Appraisal .
1. Name 3 collinear points. 2. Name 3 points that are not collinear. 3. Name 3 coplanar points. 4. Name line p as many ways as possible. 5. Give another name for plane R. 6. Is plane EDF a correct name for plane R? 7. Is ⃡ another name for line n? 8. Name a point not contained in a line. 9. Where do lines p and n intersect? 10.
2010 AMC 8 Problems Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6. Using only pennies, nick els, dimes, and quar ters, what is the smallest number of coins F reddie would need so he cou
5 Foods to Avoid if You Have *Problem* 5 Foods That Alleviate Symptoms of *Problem* Things Your Doctor Isn’t Telling You About *Problem* What to Eat if You Have *Problem* 3 Key Nutrients for *Problem* 10 Signs You Have *Problem* 3 Ways to Treat *Problem* Naturally The 3 Best Sup
1. explain the roles of mathematics problem solving in primary school, 2. classify mathematical problems, 3. explain the steps of mathematics problem solving, 4. explain and use certain heuristics or strategies to solve certain mathematical problem, 5. explain the concept of problem -based learning, and 6. make a lesson plan for problem-based .
11 PERSONAL MANAGEMENT 12 PERSONAL FITNESS 13 FAMILY LIFE 14 DATE EARNED UNIT NO. MERIT BADGE DATE EARNED UNIT NO. MERIT BADGE DATE EARNED UNIT NO. Date joined Scouts BSA Date joined a Varsity Scout team Date joined a Venturing crew Date joined a Sea Scout ship Date of First Class Scout board of review Date of Star Scout board of review Were .
