IReady Student At-Home Activity Packet Math And ELA .

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iReady Student At-HomeActivity PacketMathandELA Section 1Grade 6Grade 6 MathematicsStudent At-Home Activity PacketThis At-Home Activity Packet includes 21 sets of practice problems that align toimportant math concepts your student has worked with so far this year.We recommend that your student completes one page of practice problems each day.Encourage your student to do the best they can with this content—the mostimportant thing is that they continue developing their mathematical fluency and skills!See the Grade 6 Mathconcepts covered inthis packet! 2020 Curriculum Associates, LLC. All rights reserved.

Grade 6 Math concepts covered in this packetConceptPracticeFluency and Skill Practice1Understanding Ratio Concepts. 32Using Equivalent Ratios. 43Understanding Rate Concepts. 54Using Unit Rate to Find Equivalent Ratios. 75Using Unit Rate to Compare Ratios. 96Using Unit Rate to Convert Measurements. 117Understanding Percents. 138Finding a Percent of a Quantity. 149Finding the Whole. 1510Understanding Division with Fractions. 1611Using Multiplication to Divide by a Fraction. 1712Understanding Positive and Negative Numbers. 1813Comparing Positive and Negative Numbers. 2014Understanding Absolute Value. 2115Understanding the Four-Quadrant Coordinate22Plane.16Writing and Interpreting Algebraic Expressions. 2317Evaluating Algebraic Expressions. 2518Using Order of Operations with Expressions26with Exponents.19Identifying Equivalent Expressions. 2720Writing and Solving One-Variable Equations. 2921Writing and Graphing One-Variable31Inequalities.Understanding RatiosUnderstanding RatesUnderstanding PercentsUnderstanding Divisionwith FractionsUnderstanding IntegersUnderstandingExpressions andExponentsUnderstanding Equationsand Inequalities 2020 Curriculum Associates, LLC. All rights reserved.

FLUENCY AND SKILLS PRACTICEName:LESSON 12Understanding Ratio ConceptsComplete each problem about ratio relationships.1Ms. Omar runs the school tennis club. She has a bin of tennis balls and rackets.For every 5 tennis balls in the bin, there are 3 tennis rackets. Draw a model toshow the ratio of tennis balls to tennis rackets.Write the following ratios.tennis balls to tennis racketstennis balls to total pieces of tennis equipment2Christian has a collection of 18 shark teeth. He identified them as 6 tiger sharkteeth, 8 sand shark teeth, and the rest as bull shark teeth.What does the ratio 6 : 8 represent in this situation?What does the ratio 4 : 18 represent in this situation? Explain your reasoning.Include a model in your explanation.3How are part-to-part ratios different from part-to-whole ratios? Curriculum Associates, LLCCopying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 123

FLUENCY AND SKILLS PRACTICEName:LESSON 13Using Equivalent RatiosSolve each problem.1Josie is training for a race. The ratio ofthe number of minutes she runs to thenumber of miles she runs is 24 to 3.She plans to run 10 miles. How manyminutes will it take her?2A chef planning for a large banquetthinks that 2 out of every 5 dinnerguests will order his soup appetizer.He expects 800 guests at the banquet.Use equivalent ratios to estimate howmany cups of soup he should prepare.3Fred is making a fruit salad. The ratioof cups of peaches to cups of cherriesis 2 to 3. How many cups of peacheswill Fred need to make 60 cups offruit salad?4A community garden center hosts aplant giveaway every spring to helpcommunity members start theirgardens. Last year, the giveawaysupported 50 families by giving away150 plants. Based on this ratio, howmany plants will the center give awaythis year in order to support 65 families?5The first week of January, there are49 dogs and 28 cats in an animal shelter.Throughout the month, the ratio of dogsto cats remains the same. The last weekof January, there are 20 cats in theshelter. How many dogs are there?6A wedding planner uses 72 ivy stemsfor 18 centerpieces. When she arrivesat the venue, she realizes she will onlyneed 16 centerpieces. How many ivystems should she use so that the ratioof ivy stems to centerpieces staysthe same? Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 134

FLUENCY AND SKILLS PRACTICEName:LESSON 15Understanding Rate Concepts1It takes Maya 30 minutes to solve 5 logic puzzles, and it takes Amy 28 minutes tosolve 4 logic puzzles. Use models to show the rate at which each student solvesthe puzzles, in minutes per puzzle.If Maya and Amy had the same number of puzzles to solve, who would finishfirst? Explain.2A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalentratios to show the garden hose’s water flow in gallons per minute and minutesper gallon.How many gallons of water does the hose supply in 10 minutes? Explain. Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 15Page 1 of 25

FLUENCY AND SKILLS PRACTICEName:LESSON 15Understanding Rate Concepts3continuedMax travels to see his brother’s family by car. He drives 216 miles in 4 hours.What is his rate in miles per hour? Use a double number line to show your work.Suppose he makes two stops of 10 minutes each during his journey. Will he beable to reach the town in 4 hours if he keeps the speed the same? Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 15Page 2 of 26

FLUENCY AND SKILLS PRACTICEName:LESSON 16Using Unit Rates to Find Equivalent RatiosSolve each problem. Show your work.1Rachel mows 5 lawns in 8 hours. At this rate, how many lawns can she mow in40 hours?2A contractor charges 1,200 for 100 square feet of roofing installed. At this rate,how much does it cost to have 1,100 square feet installed?3It takes Jill 2 hours to run 14.5 miles. At this rate, how far could she run in 3 hours?4Bobby catches 8 passes in 3 football games. At this rate, how many passes does hecatch in 15 games?5Five boxes of crackers cost 9. At this rate, how much do 20 boxes cost?6It takes a jet 2 hours to fly 1,100 miles. At this rate, how far does it fly in 8 hours? Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 16Page 1 of 27

FLUENCY AND SKILLS PRACTICEName:LESSON 16Using Unit Rates to Find EquivalentRatios continued7It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, howmany pages does he complete in 200 minutes?8Kendra gets a paycheck of 300 after 5 days of work. At this rate, how much doesshe get paid for working 24 days?9Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does ittake him to install 495 square feet?10 Taylin buys 5 ounces of tea leaves for 2.35. At this rate, how much money doesshe need to buy 12 ounces of tea leaves?11 In problem 10, how would your work be different if you were asked how manyounces of tea leaves Taylin could buy with 10? Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 16Page 2 of 28

FLUENCY AND SKILLS PRACTICEName:LESSON 16Using Unit Rates to Compare RatiosSolve each problem. Show your work.1Shawn sells 36 vehicles in 4 weeks. Brett sells 56 vehicles in 7 weeks. Who sellsmore vehicles per week?2The table shows the gas mileageof two vehicles. Which vehicletravels more miles per gallon?CarMilesGallonsPickup Truck1208Minivan180103Joe and Chris each have a lawn mowing business. Joe charges 40 to mow 2 acres.Chris charges 30 to mow 1.2 acres. Who charges more per acre?4The table shows the time it took two athletesto run different races. Who ran faster?AthleteSecondsMetersEllen28200Lindsay60400 Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 16Page 1 of 29

FLUENCY AND SKILLS PRACTICEName:LESSON 16Using Unit Rates to Compare Ratioscontinued5Branden and Pete each play running back. Branden carries the ball 75 times for550 yards, and Pete has 42 carries for 380 yards. Who runs farther per carry?6The table shows the price of two cereal brandsand the number of ounces per box. Which is thebetter price per ounce?7CerealOuncesPriceBrand A18 2.50Brand B24 3.50Describe two different ways you could change the values in the table so that theanswer to problem 6 is different. Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 16Page 2 of 210

FLUENCY AND SKILLS PRACTICEName:LESSON 16Using Unit Rates to Convert MeasurementsSolve each problem. Show your work.1Susan has a 12-inch board for constructing a wooden chair. The directions say touse a board that is 29 centimeters long. Is her board long enough to cut?(1 inch 5 2.54 centimeters)2Kevin uses 84 fluid ounces of water to make an all-purpose cleaner. The directionscall for 4 fluid ounces of concentrated soap for every 3 cups of water. How manyfluid ounces of soap should he use? (1 cup 5 8 fl oz)3Shannon test-drives a car in Germany and drives 95 kilometers per hour. What isher speed in miles per hour? (1 kilometer 0.62 mile)4Keith works 8 hours per day for 5 days per week. Melba works 2,250 minutes eachweek. Who spends more time at work? Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 16Page 1 of 211

FLUENCY AND SKILLS PRACTICEName:LESSON 16Using Unit Rates to ConvertMeasurements continued5Jason runs 440 yards in 75 seconds. At this rate, how many minutes does it takehim to run a mile? (1 mile 5 1,760 yards)6Boxes of granola are on sale at a price of 2 for 4.50. There are 12 ounces ofgranola in each box. What is the unit price in dollars per pound?7Sam is delivering two refrigerators that each weigh 105 kilograms. There is anelevator with a weight limit of 1,000 pounds. Can he take both refrigerators on theelevator in one trip? (1 kilogram 2.2 pounds)8For every 140 feet that Kelly rides on her bicycle, the wheels turn 20 times. Abouthow many times do the wheels turn in 5 miles? (1 mile 5 5,280 feet) Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 16Page 2 of 212

FLUENCY AND SKILLS PRACTICEName:LESSON 17Understanding Percents1Emma is saving for a bicycle that costs 300. This month, she reaches 60% of hergoal. Label and shade the bar model to show her progress. How much money hasshe saved? Explain. 0 3000%100%2Justin needs to make 80 illustrations for an art book. He has made 40% of theillustrations. Make a bar model to show his progress. How many illustrations doeshe still need to make? Explain.3In a classroom of 28 students, 75% of the students have met their reading goal.Label the double number line. How many students met their reading goal? Whatfraction of 28 students met their reading goal? Explain.Students28Percent100% Curriculum Associates, LLCCopying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 1713

FLUENCY AND SKILLS PRACTICEName:LESSON 18Finding a Percent of a QuantityFind the percent of the number. The answers are mixed up at the bottom of thepage. Cross out the answers as you complete the problems.140% of 80225% of 60310% of 90450% of 70580% of 500675% of 80790% of 250865% of 400985% of 80010 55% of 14011 45% of 16012 95% of 18013 70% of 72014 15% of 22015 65% of 200Answers977504722252601713360354003213068015 Curriculum Associates, LLCCopying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 1814

FLUENCY AND SKILLS PRACTICEName:LESSON 18Finding the WholeSolve each problem.125% of what number is 13?250% of what number is 140?310% of what number is 60?45% of what number is 12?530% of what number is 72?670% of what number is 56?795% of what number is 57?875% of what number is 66?985% of what number is 102?10 45% of what number is 63?11 Explain how you could use 25% of a number to find the number. Curriculum Associates, LLCCopying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 1815

FLUENCY AND SKILLS PRACTICEName:LESSON 9Understanding Division with Fractions1Complete the bar model to show how many 1s make 14 .5··10··141015How many 1s make 14 ?5··10··Complete the equations.14 42 1 5 145710··5··10··Use the number line to show 2 4 1 .3··12··023What is the quotient?3Which type of model do you like better, the bar model or the number line?Explain. Curriculum Associates, LLCCopying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 916

FLUENCY AND SKILLS PRACTICEName:LESSON 10Using Multiplication to Divide by a FractionWrite the missing digits in the boxes to make each equation true.1425135 1 4 3 5 3 3 7 537················74 2 42 5 9 3552················831 4 8 5 7 3 8 5527················912 4 21 5 3 3 9 534········ ········10 3 3 4 1 3 5 18 3 4 �·441543 4 545········ ····5··54 5 5535 30 5 2126············6··11 Write a word problem that could be solved by the equation in problem 8. Curriculum Associates, LLCCopying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 1017

FLUENCY AND SKILLS PRACTICEName:LESSON 23Understanding Positive and Negative Numbers1The points on the number line are opposite numbers. The tick marks representintervals of 1 unit.Label 0 at the correct spot on the number line.Label the point plotted to the right of 0.Label the point plotted to the left of 0.2Use this list of numbers to answer the following questions:0, 4, 22, 2 , 21.8, 16, 3.2, 253··4··Which numbers are rational numbers that are not integers?Of the remaining numbers, which are integers but not whole numbers?Of the remaining numbers, which are whole numbers?3Use the following terms to complete the following statements: integers, rationalnumbers, and whole numbers. Use each term only once.The counting numbers and zero are.The counting numbers and their opposites, along with zero,are.Integers and the decimal equivalents of fractions are Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 23Page 1 of 218

FLUENCY AND SKILLS PRACTICEName:LESSON 23Understanding Positive and NegativeNumbers continued4Plot and label 4, 23, 1, and their opposites on the number line.5If several points are graphed on a number line, is the point that is the farthest from0 always the greatest? Explain. Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 23Page 2 of 219

FLUENCY AND SKILLS PRACTICEName:LESSON 24Comparing Positive and Negative NumbersWrite , or . to make each comparison true.1472721 4··21023521.4Write each set of numbers in order from least to greatest.10 5, 22, 21, 411 3.4, 7, 23.5, 2312 22.1, 22, 23, 013 2 3 , 22, 2 1 , 244····14 5, 0, 26, 20.115 7.5, 2200, 21.5, 2816 1 , 2 1 , 2 1 , 1223 ··3······17 1.2, 22.1, 221, 0.1218 0.1, 20.2, 0.55, 20.3119 Describe how to determine which of two negative numbers is greater.Give an example. Curriculum Associates, LLCCopying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 2420

FLUENCY AND SKILLS PRACTICEName:LESSON 25Understanding Absolute Value1Answer the questions about this number line.29240Which is greater, 29 or 24? Explain.Which is greater, 29 or 24 ? Explain.2A football team tries to move the ball forward as many yards as possible on eachplay, but sometimes they end up behind where they started. The distances, inyards, that a team moves on its first five plays are 2, 21, 4, 3, and 25. A positivenumber indicates moving the ball forward, and a negative number indicatesmoving the ball backward.Which number in the list is the greatest?What is a better question to ask to find out which play went the farthest fromwhere the team started?The coach considers any play that moves the team more than 4 yards from wherethey started a “big play.” Which play(s) are big plays?3When does it make sense to compare the absolute values of numbers rather thanthe numbers themselves? Curriculum Associates, LLCCopying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 2521

FLUENCY AND SKILLS PRACTICEName:LESSON 27Understanding the Four-QuadrantCoordinate PlaneFor problems 1–6, plot and label each point in the coordinate plane. Name thequadrant or axis where the point is located.1A(23, 22)2B(4, 24)3C(2, 3)4D(22, 4)54321y25 24 23 22 21 O2122x1 2 3 4 5235E(3, 23)7If point E above is reflected across the x-axis, what would be the coordinates of thereflection? Explain.8Imagine that one of the points given in problems 1–6 has been reflected. Thereflection is in Quadrant II. What are the possible coordinates of the reflectedpoint? Explain.9Bradley says that if point B is reflected across the y-axis and its reflection is thenreflected across the x-axis, the result is point D. Is Bradley correct? Explain. Curriculum Associates, LLC62425F(4, 0)Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 2722

FLUENCY AND SKILLS PRACTICEName:LESSON 4Writing and Interpreting Algebraic ExpressionsWrite an algebraic expression for each word phrase or situation.112 more than 8.2 times a number n23 less than the quotient of 18 and anumber m35.6 times the sum of 4 and a number p4the quotient of 2 and a number x, times 35Five friends split the cost of parking atan amusement park. Each of them alsobuys a 30 ticket. Write an algebraicexpression that represents the amountof money each friend spends. Identifyany variables.6A movie theater is open x hours Mondaythrough Thursday and y hours Fridaythrough Sunday. Write an algebraicexpression that represents the numberof hours per week the theater is open.Interpret the meaning of the algebraic expression in each problem.7Andrew writes the algebraic expression 2s 1 2.79 to represent the cost of hislunch. He bought 2 sandwiches and a large drink. Identify any variables,coefficients, and terms in the expression. Tell what each represents. Curriculum Associates, LLC Copying permitted for classroom use. 2020 Curriculum Associates, LLC. All rights reserved.GRADE 6LESSON 4Page 1 of 223

FLUENCY AND SKILLS PRACTICEName:LESSON 4Writing and Interpreting AlgebraicExpressions continued8A teacher writes the algebraic expression 24c 1 5m 1 19.99 to represent the costof supplies she purchased for her classroom. She bought 24 packages of coloredpencils, 5 packages of markers, and a beanbag chair. Identify any variables,coefficients, and terms in the expression. Tell what each represents.9Write a situation that could be represented by the algebraic expression 3s 1 2.15. Curriculum Associates, LLC Copying permitted for classroom use. 2020

Grade 6 Mathematics Student At-Home Activity Packet This At-Home Activity Packet includes 21 sets of practice problems that align to important math concepts your student has worked with so far this year. We recommend that your student

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