NBT Tasks - Moving To Better Math Instruction



NBT Tasks1.NBT.3 Ordering NumbersMalik is given a list of numbers:151050100 He wants to include the following numbers so all numbers will be listed in order from least (on the left) to greatest (on the right): 49,7,22,98, and 3 Where in the list should he put each of these numbers?2.NBT.1 Boxes and Cartons of PencilsPencils are packed 10 in a box. A classroom carton has 10 boxes.Jem has 1 carton and 4 boxes. How many pencils does Jem have all together?Lee needs to pack 370 pencils. How many boxes does Lee need? If Lee puts the boxes in cartons, how many cartons can he completely fill?Ms. Kato needs 10 pencils for each of her 26 students.If she can only buy boxes, how many boxes does she need?She finds out that it is cheaper to buy pencils in cartons. How many cartons should she buy? How many additional boxes will she need?2.NBT.1 Bundling and UnbundlingMake true equations. Write one number in every space. Draw a picture if it helps.1 hundred + 4 tens = ______4 tens + 1 hundred = ______14 tens = 10 tens + _____ tens14 tens = _____ hundred + 4 tens14 tens = _____ ones7 ones + 5 hundreds = ______8 hundreds = ______106 = 1 hundred + _____tens + _____ones106 = _____tens + _____ones106 = _____ones90 + 300 + 4 = ______2.NBT.1 Counting StampsThe post office packages stamps like this:10 stamps in each strip. 10 strips of 10 in each sheet. Yesterday Mike saw 4 full sheets, 7 strips, and 2 extra stamps in the drawer. He counted all the stamps and found out that there were 472 stamps in all. He said, The number 472 matches the 4 sheets, 7 strips, and 2 stamps. Cool! Why did Mike’s number match up with the numbers of sheets, strips, and extra stamps? Draw a picture to help explain your answer.Today Mike found 3 extra stamps, 1 sheet, and 5 strips. He said, Because of how things matched up yesterday, I guess there are 315 stamps total.Find the total number of stamps.Explain why Mike's guess is incorrect. What could he have done to guess correctly?2.NBT.1 Largest Number GameDona had cards with the numbers 0 to 9 written on them. She flipped over three of them. Her teacher said: If those three numbers are the digits in another number, what is the largest three-digit number you can make?First Dona put the 8 in the hundreds place. Is this the right choice for the hundreds place? Explain why or why not. Next, Dona said, “It doesn’t matter what number I choose for the other places, because I put the biggest number in the hundreds place, and hundreds are bigger than tens and ones.” Is she correct? Explain.2.NBT.1 One, Ten, and One Hundred more and lessWhat number is 1 more than 99?What number is 1 less than 600?What number is 10 more than 90?What number is 10 less than 300?What number is 100 more than 570?What number is 100 less than 149? 2.NBT.1 RegroupingWhat number represents the same amount as 2 tens + 7 ones?What number represents the same amount as 4 tens + 0 ones?What number represents the same amount as 5 tens + 12 ones?What number represents the same amount as 3 hundreds + 18 tens + 5 ones?What number represents the same amount as 7 hundreds + 19 tens?2.NBT.1 Three composing/decomposing problemsSome students are working with base-ten blocks. Nina has 3 hundreds, 8 tens, and 23 ones. How many ones would this be? Lamar wants to make the number 261. He has plenty of hundreds blocks and ones blocks to work with, but only 4 tens blocks. His friend Jose said,You can still make 261 with the blocks you have.Explain how he can.Find at least three different ways to can make 124 using hundreds, tens and ones.4.NBT.2 Ordering 4-digit numbersArrange these numbers in order, beginning with the smallest.2400400220404202004 Arrange these numbers in order, beginning with the greatest.14708477101047147 NF Tasks3.NF.2 Closest to ?Which number is closest to 1/2 ?1/8 3/8 7/8 9/8 3.NF.2 Find 1Draw a point on the number line for 1. Label the point. Be as exact as possible.Draw a point on the number line for 1. Label the point. Be as exact as possible.3.NF.2 Locating Fractions Greater than One on the Number LineDraw points on the number line for 12,22,32,42,52,and62 . Label the points.Draw a point on the number line for 113. Label the point. Be as exact as possible.3.NF.2 Locating Fractions Less than One on the Number LineDraw points on the number line for 14,24,34, and44. Label the points. Be as exact as possible.Draw a point on the number line for 2/3. Label the point. Be as exact as possible.Draw points on the number line for 12,13,14,and15 . Label the points.3.NF Which is Closer to 1?Which is closer to 1 on the number line, 45 or 54 ? Explain.3.NF.3 Ordering FractionsArrange the fractions in order, beginning with the least. Explain your answer with a picture.15 , 17 , 13 25 , 27 , 23 56 , 36 , 16 512 , 812 , 4124.NF.4 The Stamp CollectionMasha had 120 stamps. She gave her sister half of the stamps and three more. How many stamps does Masha have left?4.NF.5, 4.NF.6 Dimes and PenniesA dime is 1/10 of a dollar and a penny is 1/100 of a dollar. What fraction of a dollar is 6 dimes and 3 pennies? Write your answer in both fraction and decimal form.4.NF.5 Adding Tenths and Hundredths910+810023100+7107100+310710+20100210+41100110+9100+1310+211004.NF.5, 4.NF.6 Expanded Fractions and DecimalsComplete the table. Fraction Expanded Fraction Form Expanded Decimal Form Decimal 43 65/100 40+3+6/10+5/100 40+3+0.6+0.05 43.65 21 90/100 40 76/ 100 7 82/10018 3/100 4.NF.5 Fraction EquivalenceExplain why 6/10 =60/100 . Draw a picture to illustrate your explanation.4.NF.5, 4.NF.6 How Many Tenths and Hundredths?Make true equations. Write one number in each space.1 tenth + 4 hundredths = ______________ hundredths4 hundredth + 1 tenths = ______________ hundredths5 tenths + 2 hundredths = ______________ hundredths5 hundredths + 2 tenths = ______________ hundredths14 hundredths = __________ hundredths + 4 hundredths14 hundredths = __________ tenths + 4 hundredths14 hundredths = 1 tenths + 3 hundredths + __________ hundredths80 hundredths = __________ tenths5.NF.3, 5.MD.1 Converting Fractions of a Unit into a Smaller UnitFive brothers are going to take turns watching their family's new puppy. How much time will each brother spend watching the puppy in a single day if they all watch him for an equal length of time? Write your answerUsing only hours, Using a whole number of hours and a whole number of minutes, and Using only minutes.Mrs. Hinojosa had 75 feet of ribbon. If each of the 18 students in her class gets an equal length of ribbon, how long will each piece be? Write your answerUsing only feet, Using a whole number of feet and a whole number of inches, and Using only inches.Wesley walked 11 miles in 4 hours. If he walked the same distance every hour, how far did he walk in one hour? Write your answerUsing only miles, Using a whole number of miles and a whole number of feet, and Using only feet.5.NF.5 Calculator TroubleLuke had a calculator that will only display numbers less than or equal to 999,999,999. Which of the following products will his calculator display? Explain.792 × 999,999,999 1/2 × 999,999,999 15/4 × 999,999,999 0.67× 999,999,999 5.NF.5 Comparing a number and a productDecide which number is greater without multiplying. 817 or 235×817 99 or 1/4×99 51/100 or 51/100×301 13/90 or 2/3×13/90 101/102 or 101/102×101/102 99/5 or 99/5×1/2 8/21×40 or 28/21×40 8/3×5/7 or 8/3×9/45.NF.5 FundraisingCai, Mark, and Jen were raising money for a school trip. Cai collected 212 times as much as Mark.Mark collected 2/3 as much as Jen.Who collected the most? Who collected the least? Explain.5.NF.5 Grass SeedlingsThe students in Raul’s class were growing grass seedlings in different conditions for a science project. He noticed that Pablo’s seedlings were 112 times a tall as his own seedlings. He also saw that Celina’s seedlings were 3/4 as tall as his own. Which of the seedlings shown below must belong to which student? Explain your reasoning.5.NF.5 Reasoning about MultiplicationYour classmate Ellen says,When you multiply by a number, you will always get a bigger answer. Look, I can show you.Start with 9 Multiply by 5 . 9×5=45 The answer is 45 and 45>9 45 is bigger than 9 It even works for fractions.Start with 1/2 Multiply by 4 . 1/2 × 4=2 The answer is 2 , and 2 > 1/2 2 is bigger than 1/2 .Ellen's calculations are correct, but her rule does not always work.For what numbers will Ellen's rule work? For what numbers will Ellen's rule not work? Explain and give examples.5.NF.5 Running a MileCurt and Ian both ran a mile. Curt's time was 8/9 Ian's time. Who ran faster? Explain and draw a picture.5.NF.6 Drinking JuiceAlisa had 1/2 a liter of juice in a bottle. She drank 3/4 of the juice that was in the bottle. How many liters of juice did she drink?5.NF.6 Half of a recipeKendra is making 1/2 of a recipe. The full recipe calls for 31/4 cup of flour. How many cups of flour should Kendra use?5.NF.6 To Multiply or NotSome of the problems below can be solved by multiplying 18x25 , while others need a different operation. Select the ones that can be solved by multiplying these two numbers. For the remaining, tell what operation is appropriate. In all cases, solve the problem and include appropriate units in the answer.Two-fifths of the students in Anya’s fifth grade class are girls. One-eighth of the girls wear glasses. What fraction of Anya’s class consists of girls who wear glasses?A farm is in the shape of a rectangle 1/8 of a mile long and 2/5 of a mile wide. What is the area of the farm? There is 2/5 of a pizza left. If Jamie eats another 1/8 of the original whole pizza, what fraction of the original pizza is left over?In Sam’s fifth grade class, 1/8 of the students are boys. Of those boys, 2/5 have red hair. What fraction of the class is red-haired boys?Only 1/20 of the guests at the party wore both red and green. If 1/8 of the guests wore red, what fraction of the guests who wore red also wore green?Alex was planting a garden. He planted 2/5 of the garden with potatoes and 1/8 of the garden with lettuce. What fraction of the garden is planted with potatoes or lettuce? At the start of the trip, the gas tank on the car was 2/5 full. If the trip used 1/8 of the remaining gas, what fraction of a tank of gas is left at the end of the trip?On Monday, 1/8 of the students in Mr. Brown’s class were absent from school. The nurse told Mr. Brown that 2/5 of those students who were absent had the flu. What fraction of the absent students had the flu?Of the children at Molly’s daycare, 1/8 are boys and 2/5 of the boys are under 1 year old. How many boys at the daycare are under one year old?The track at school is 2/5 of a mile long. If Jason has run 1/8 of the way around the track, what fraction of a mile has he run?5.NF.7 Dividing by one-halfSolve the four problems below. Which of the following problems can be solved by finding 3÷1/2 Shauna buys a three-foot-long sandwich for a party. She then cuts the sandwich into pieces, with each piece being 1/2 foot long. How many pieces does she get?Phil makes 3 quarts of soup for dinner. His family eats half of the soup for dinner. How many quarts of soup does Phil's family eat for dinner?A pirate finds three pounds of gold. In order to protect his riches, he hides the gold in two treasure chests, with an equal amount of gold in each chest. How many pounds of gold are in each chest?Leo used half of a bag of flour to make bread. If he used 3 cups of flour, how many cups were in the bag to start? ................
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