Letter. Activity. Dear Family,

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1 Chapter Dear Family, School-Home Letter Throughout the next few weeks, our math class will study the operations of addition and subtraction with fractions. The students will study and learn to identify and apply common denominators. You can expect to see homework that includes adding and subtracting mixed numbers. Here is a sample of how your child will be taught to estimate differences of fractions. common denominator A common multiple of two or more denominators equivalent fractions Fractions that name the same amount or part least common multiple The least number that is a common multiple of two or more numbers least common denominator The least common multiple of two or more denominators Estimate Sums and Differences This is how we will be estimating 7_ _. STEP 1 Tips Subtraction with Renaming Round each fraction to the nearest 0, 1_, or STEP If you have to regroup from the whole number in a mixed number, remember to regroup into the same fractional parts as in that number s fraction value. Subtract the rounded fractions. 1 1 = 1 Activity Having a ruler handy helps to quickly identify benchmarks to use when estimating fraction sums and differences. Have your child estimate fraction sums and differences such as 7_ _ and 1_ + 1_. Chapter P109

2 Capítulo Querida familia, Carta para la casa Durante las próximas semanas, en la clase de matemáticas estudiaremos las operaciones de suma y resta con fracciones. Aprenderemos a identificar y usar denominadores comunes. Llevaré a la casa tareas con actividades para sumar y restar números mixtos. Este es un ejemplo de la manera como aprenderemos a estimar diferencias de fracciones. común denominador Un múltiplo común de dos o más denominadores fracciones equivalentes Fracciones que nombran la misma cantidad o parte mínimo común múltiplo El menor número, que es un múltiplo común de dos o más números mínimo común denominador El menor múltiplo común de dos o más denominadores Así es como estimaremos 7_ _. PASO Estimar sumas y diferencias Redondea cada fracción al 0, al 1_ o al 1 más cercano PASO Pistas Restar con conversión Para reagrupar el número entero como un número mixto, recuerda reagrupar con la misma cantidad de partes fraccionarias que el valor fraccionario de ese número. Resta las fracciones redondeadas. 1 1 = 1 Actividad Una regla puede servir para identificar rápidamente los puntos de referencia que se usan cuando se estiman sumas y diferencias de fracciones. Pida a su hijo que estime sumas y diferencias de fracciones como 7_ _ y 1_ + 1_. P110

3 Name Addition with Unlike Denominators Use fraction strips to find the sum. Write your answer in simplest form _ + _ =, or _. 1 _ + 1 _. _ + 1 _ Lesson.1 COMMON CORE STANDARD.NF.1,.NF. Use equivalent fractions as a strategy to add and subtract fractions.. _ + 1 _. 1 _ + _. _ + _ 7. 1 _ + _. _ + 1 _ 9. 7 _ + 1 _ 10. _ + 1 _ 11. 1_ + 1 _ 1. _ + _ Problem Solving 1. Brandus bought 1_ pound of ground turkey and _ pound of ground beef to make sausages. How many pounds of meat did he buy? _ 1. To make a ribbon and bow for a hat, Stacey needs _ yard of black ribbon and _ yard of red ribbon. How much total ribbon does she need? _ Chapter P111

4 Lesson Check (.NF.) 1. Hirva ate _ of a medium pizza. Elizabeth ate 1_ of the pizza. How much pizza did they eat altogether?. Bill ate 1_ pound of trail mix on his first break during a hiking trip. On his second break, he ate 1_ pound. How many pounds of trail mix did he eat during both breaks? Spiral Review (.NBT.1,.NBT.,.NBT.,.NBT.,.NBT.7). In 7,1,9, which digit is in the ten thousands place?. Matt ran laps in 1, seconds. If he ran each lap in the same amount of time, how many seconds did it take him to run 1 lap?. Gilbert bought shirts for $1.90 each, including tax. How much did he spend?. Julia has 1 pounds of nuts. There are 1 ounces in one pound. How many ounces of nuts does she have? P11

5 Name Subtraction with Unlike Denominators Lesson. COMMON CORE STANDARD.NF. Use equivalent fractions as a strategy to add and subtract fractions. Use fraction strips to find the difference. Write your answer in simplest form _ 1 _ _. 1 _ 1 _. _ _ _. _ 1 _. 7 _ 1 _ _. _ 1 _ _ 7. _ 1 _ _. _ 1 _ _ _ _ _ _ 11. _ 1 _ _ 1. _ 1 _ _ Problem Solving 1. Amber had _ of a cake left after her party. She wrapped a piece that was 1_ of the original cake for her best friend. What fractional part did she have left for herself? _ 1. Wesley bought 1_ pound of nails for a project. When he finished the project, he had 1_ pound of the nails left. How many pounds of nails did he use? _ Chapter P11

6 Lesson Check (.NF.) 1. A meatloaf recipe calls for 7_ cup of bread crumbs for the loaf and the topping. If _ cup is used for the loaf, what fraction of a cup is used for the topping?. Hannah bought _ yard of felt for a project. She used 1_ yard. What fraction of a yard of felt did she have left over? Spiral Review (.NBT.,.NBT.,.NBT.7,.NF.). Jasmine s race time was.7 minutes. Round her race time to the nearest tenth of a minute.. The Art Club is having a fundraiser, and 19 people are attending. If 1 people can sit at each table, what is the least number of tables needed?. During the day, Sam spent $. on lunch. He also bought books for $7.9 each. At the end of the day, he had $.0 left. How much money did he start with?. What is the product of 7. and 1,000? P11

7 Name Estimate Fraction Sums and Differences Lesson. COMMON CORE STANDARD.NF. Use equivalent fractions as a strategy to add and subtract fractions. Estimate the sum or difference _ 1 _ Think: 1_ is closer to 1_ than to 0. 0 Estimate: _. 1 _ + 1 _ Estimate: _. _ 1 _ Estimate: _. _ 1 _. 1 _ + _ 7. _ + _ Estimate: _ Estimate: _ Estimate: _ 7. _ + _. 1 7 _ 1 1 _ 9. 1 _ _ Estimate: _ Estimate: _ Estimate: _ _ 11. _ _ _ 1 _ Estimate: _ Estimate: _ Estimate: _ Problem Solving 1. For a fruit salad recipe, Jenna combined _ cup of raisins, 7_ cup of oranges, and _ cup of apples. About how many cups of fruit are in the salad? _ 1. Tyler had 7 1 yards of fabric. He used _ yard to make a vest. About how much fabric did he have left? _ Chapter P11

8 Lesson Check (.NF.) 1. Helen s house is located on a rectangular lot that is 1 1_ miles by 9 10 mile. Estimate the distance around the lot.. Keith bought a package with 1 9 pounds of ground meat to make hamburgers. He has _ pound of ground meat left. About how many pounds of ground meat did he use for the hamburgers? Spiral Review (.NBT.,.NBT.7,.NF.). Jason bought two identical boxes of nails. One box weighs 1 ounces. What is the total weight in ounces of the nails Jason bought?. Hank wants to divide pieces of construction paper evenly among his classmates. How many pieces will be left over?. Which is the most reasonable estimate for.?. What is a rule for the sequence below? 1.,.,.90,.9, P11

9 Name Factors Lesson. COMMON CORE STANDARD.OA..1 Operations and Algebraic Thinking Write the number as a product of its prime factors _... _ Problem Solving 7. Elspeth made a chart showing numbers as the products of their prime factors. What expression is missing from row of Elspeth s chart? Number 10 Prime Factors. What number is missing from row of the chart? 1? 1? Chapter P117

10 Lesson Check (.OA..1) 1. What is 0 written as the product of its prime factors?. A number given as the product of its prime factors is. What is the number? Spiral Review (.NBT.,.NBT.,.NBT.7,.NF.). Jasmine has 1 stickers to put in 1 gift bags. If she divides the stickers evenly, how many stickers will she put in each bag?. Ralph is sewing panels of fabric together to make a drape for the set of a theater production. The lengths of the panels are 1.9 meters,. meters, and. meters. What will be the length of the drape made from these panels?. The Old Time Train Museum is raising the price of tickets for train rides. Tickets used to cost $.0 each. The new ticket price will be 1. times the old ticket price. What will the new ticket price be?. Annalisa uses _ cup of all-purpose flour and 1_ cup of whole-wheat flour to make pancakes. How many cups of flour does she use altogether? P11

11 Name Common Denominators and Equivalent Fractions Use a common denominator to write an equivalent fraction for each fraction. 1. 1_, 1_ 10 common denominator: _ Think: 10 is a multiple of and. Find equivalent fractions with a denominator of _, _ common denominator: _. _, 1_ Lesson. COMMON CORE STANDARD.NF.1 Use equivalent fractions as a strategy to add and subtract fractions. common denominator:. _, 1_ common denominator: _. 1_, _ common denominator: _. 1_, 1_ common denominator: Use the least common denominator to write an equivalent fraction for each fraction. 7. _, _ , _ 9. _ 9, 1 _ Problem Solving _ 10. Ella spends _ hour practicing the piano each day. She also spends 1_ hour jogging. What is the least common denominator of the fractions? _ 11. In a science experiment, a plant grew _ inch one week and 1_ inch the next week. Use a common denominator to write an equivalent fraction for each fraction. Chapter P119

12 Lesson Check (.NF.1) 1. Name a pair of fractions that use the least common denominator and are equivalent to 9 10 and _.. Joseph says that there is _ of a ham sandwich left and 1_ of a turkey sandwich left. What is NOT a pair of equivalent fractions for _ and 1_? Spiral Review (.OA.1,.NBT.b,.NBT.,.NBT.7). Matthew had the following times in two races:.0 minutes and.0 minutes. Use >, <, or = to make the sentence true.. Olivia s class collected,91 bottle caps in 7 days. The same number of bottle caps were collected each day. How many bottle caps did the class collect per day?.0.0. Elizabeth multiplied 0. by 1.. What is the correct product?. What is the value of (17 + )? P10

13 Name Add and Subtract Fractions Lesson. COMMON CORE STANDARD.NF.1 Use equivalent fractions as a strategy to add and subtract fractions. Find the sum or difference. Write your answer in simplest form _ 1 _ _. 1 _ + 1 _. _ + _ _. _ _ 7. _ 7 1 _. 7 _ + 1 _ 9. _ + _ _ _ 1. _ + _ 7 Problem Solving 1. Kaylin mixed two liquids for a science experiment. One container held 7_ cup and the other held 10 9 cup. What is the total amount of the mixture? _ 1. Henry bought 1_ pound of screws and _ pound of nails to build a skateboard ramp. What is the total weight of the screws and nails? _ Chapter P11

14 Lesson Check (.NF.1) 1. Lyle bought _ pound of red grapes and 1 pound of green grapes. How many pounds of grapes did he buy?. Jennifer had a 7_ -foot board. She cut off a 1_ -foot piece that was for a project. In feet, how much of the board was left? Spiral Review (.NBT.,.NBT.7,.NF.). Ivan has 1 yards of green felt and 1 yards of blue felt to make quilts. If Ivan uses the same total number of yards for each quilt, how many yards does he use for each quilt?. Eight identical shirts cost a total of $1. How much does one shirt cost?. Melissa bought a pencil for $0., an eraser for $0., and a notebook for $0.9. What is a reasonable estimate for the amount Melissa spent?. The 1 members in Dante s hiking club shared 17 ounces of trail mix equally. How many ounces of trail mix did each member receive? P1

15 Name Add and Subtract Mixed Numbers Lesson.7 COMMON CORE STANDARD.NF.1 Use equivalent fractions as a strategy to add and subtract fractions. Find the sum or difference. Write your answer in simplest form _ 1 1 _ 1 _ 1 1 _ _ + 1 _. 1 _ + 1 _. 1 _ + 1 _. 1 _ + 1 _ _ 7. _ 1 _. _ 7 1 _ 9. 1 _ _ 7 _ 11. _ _ Problem Solving 1. Jacobi bought 7 1_ pounds of meatballs. He decided to cook 1 1_ pounds and freeze the rest. How many pounds did he freeze? _ 1. Jill walked 1_ miles to a park and then 7_ miles home. How many miles did she walk? _ Chapter P1

16 Lesson Check (.NF.1) 1. Ming has a goal to jog 1_ miles each day. On Monday she jogged 1 9 miles. By how much did she exceed her goal for that day?. At the deli, Ricardo ordered 1_ pounds of cheddar cheese and _ pounds of mozzarella cheese. How many pounds of cheese did he order? Spiral Review (.NBT.a,.NBT.,.NBT.,.NBT.7). The theater has 17 seats. There are 7 seats in each row. How many rows are there?. During the first 1 days,,7 people visited a new store. The same number of people visited the store each day. About how many people visited the store each day?. What number is 100 times as great as 0.?. Mark said that the product of 0.0 and 0.7 is 1. Mark is wrong. What is the product? P1

17 Name Subtraction with Renaming Estimate. Then find the difference and write it in simplest form. Lesson. COMMON CORE STANDARD.NF.1 Use equivalent fractions as a strategy to add and subtract fractions. 1. Estimate: _. Estimate: _. Estimate: _ 1 _ 1 _ 1 _ _ _ 9 7 _. Estimate: _. Estimate: _. Estimate: _ 1 _ 1 _ 7 1 _ _ _ 7. Estimate: _. Estimate: _ 9. Estimate: _ 1 _ 1 _ 7 1 _ _ 9 10 _ 9 10 Problem Solving 10. Carlene bought 1 1 yards of ribbon to decorate a shirt. She only used 1_ yards. How much ribbon does she have left over? _ 11. During his first vet visit, Pedro s puppy weighed 1_ pounds. On his second visit, he weighed 9 1 pounds. How much weight did he gain 1 between visits? _ Chapter P1

18 Lesson Check (.NF.1) 1. Natalia picked 7 1_ bushels of apples today and _ bushels yesterday. How many more bushels did she pick today?. Max needs 10 1_ cups of flour to make a batch of pizza dough for the pizzeria. He only has 1_ cups of flour. How much more flour does he need to make the dough? Spiral Review (.NBT.1,.NBT.,.NBT.,.NBT.7). The accountant charged $ for the first hour of work and $ for each hour after that. He earned a total of $17. How many hours did he work?. The soccer league needs to transport all 1 players to the tournament. If players can ride in one car, how many cars are needed?. What is five hundred million, one hundred fifteen written in standard form?. Find the quotient P1

19 Name Patterns with Fractions ALGEBRA Lesson.9 COMMON CORE STANDARD.NF.1 Use equivalent fractions as a strategy to add and subtract fractions. Write a rule for the sequence. Then, find the unknown term _, _,, 1, 1 1 _. 1 _, 1 _, 1 _, _, 7 _ Think: The pattern is increasing. Add 1 _ to find the next term. Rule: Rule: , , _, 1 10, , 1 _, 111 1, _, 1 1 Rule: Rule: Write the first four terms of the sequence.. Rule: start at 1_, add 1_. Rule: start at 1_, subtract _ 7. Rule: start at 1_, add 11_. Rule: start at _, subtract 11_ Problem Solving 9. Jarett s puppy weighed _ ounces at birth. At one week old, the puppy weighed 1_ ounces. At two weeks old, the puppy weighed 1_ ounces. If the weight gain continues in this pattern, how much will the puppy weigh at three weeks old? _ 10. A baker started out with 1 cups of flour. She had 91_ cups of flour left after the first batch of batter she made. She had 1_ cups of flour left after the second batch of batter she made. If she makes two more batches of batter, how many cups of flour will be left? _ Chapter P17

20 Lesson Check (.NF.1) 1. What is a rule for the sequence?. Jaime biked 1_ miles on Monday, 7_ miles on Tuesday, and 1_ miles on Wednesday. If he continues the pattern, how many miles will he bike on Friday? _, 11 _, 1 _, _, Spiral Review (.OA.,.NBT.,.NBT.7). Jaylyn rode her bicycle in a bike-a-thon. She rode. miles in.7 hours. If she rode at the same speed, what was her speed in miles per hour?. One week a company filled boxes with widgets. Each box held widgets. How many widgets did the company pack in boxes that week?. Write an expression that represents the statement Add 9 and, then multiply by.. Mason took 9. minutes to complete the first challenge in the Champs Challenge. He completed the second challenge. minutes faster than the first challenge. How long did it take Mason to complete the second challenge? P1

21 Name Problem Solving Practice Addition and Subtraction PROBLEM SOLVING Lesson.10 COMMON CORE STANDARD.NF. Use equivalent fractions as a strategy to add and subtract fractions. Read each problem and solve. 1. From a board feet in length, Emmet cut two 1_ -foot bookshelves. How much of the board remained? Write an equation: 1 _ 1 1 _ 1 x Rewrite the equation to work backward: 1 1 x Subtract twice to find the length remaining: 1 feet. Lynne bought a bag of grapefruit, 1 _ pounds of apples, and 1 pounds of bananas. The total weight of her purchases was 7 1_ pounds. How much did the bag of grapefruit weigh?. Mattie s house consists of two stories and an attic. The first floor is _ feet tall, the second floor is 1_ feet tall, and the entire house is 1_ feet tall. How tall is the attic?. It is 10 _ miles from Alston to Barton and 1 1_ miles from Barton to Chester. The distance from Alston to Durbin, via Barton and Chester, is miles. How far is it from Chester to Durbin?. Marcie bought a 0-foot roll of packing tape. Problem Solving She used two _ -foot lengths. How much tape is left on the roll?. Meg started her trip with 11 1_ gallons of gas in her car s gas tank. She bought an additional gallons on her trip and arrived back home with 10 gallons left. How much gas did she use on the trip? _ Chapter P19

22 Lesson Check (.NF.) 1. Paula spent _ of her allowance on clothes and 1_ on entertainment. What fraction of her allowance did she spend on other items?. Della bought a tree seedling that was 1_ feet tall. During the first year, it grew 1 1_ feet. After two years, it was feet tall. How much did the seedling grow during the second year? Spiral Review (.OA.1,.NBT.,.NBT.,.NBT.7). What is a way to write 100,000 using exponents?. What expression can be used for estimating?. Justin gave the clerk $0 to pay a bill of $.7. How much change should Justin get?. What is the value of the following expression? ( ) P10

23 Name Use Properties of Addition Use the properties and mental math to solve. Write your answer in simplest form. 1. ( 1 _ + 1 _ ) + _ = (1 _ + 1_ = 1 _ + ( 1_ = 1 _ + = 7 _ ) + _ + _ ). 1 _ + ( _ + 10 ) ALGEBRA Lesson.11 COMMON CORE STANDARD.NF.1 Use equivalent fractions as a strategy to add and subtract fractions.. (1 _ + _ ) + 7 _ (1 _ ). ( _ + 1 _ ) + _. 1 1 _ + ( _ + _ ) 7. (7 1 _ + 1 _ ) + _ _ + ( 1 _ + 1 _ ) 9. _ + ( 7 _ + 1 _ ) Problem Solving 10. Elizabeth rode her bike 1_ miles from her house to the library and then another _ miles to her friend Milo s house. If Carson s house is 1_ miles beyond Milo s house, how far would she travel from her house to Carson s house? 11. Hassan made a vegetable salad with _ pounds of tomatoes, 1 1_ pounds of asparagus, and 7_ pounds of potatoes. How many pounds of vegetables did he use altogether? Chapter P11

24 Lesson Check (.NF.1) 1. What is the sum of 1_, _, and _?. Letitia has 71_ yards of yellow ribbon, 1_ yards of orange ribbon, and 1_ yards of brown ribbon. How much ribbon does she have altogether? Spiral Review (.OA.1,.NBT.,.NBT.7,.NF.1). Juanita wrote 7 as What property did she use to rewrite the expression?. What is the value of the expression? 1 ( 1 ). Evan spent $1.9 on 7 pounds of birdseed. How much did the birdseed cost per pound?. Cade rode 1 _ miles on Saturday and 1_ miles on Sunday. How far did he ride on the two days? P1