Fourth Grade Unit Aligned Math Tasks Name: _____________________________________________ Tasks in this journal have been adapted from the following sources: Smarter Balanced Public Schools of North Carolina Noyce Foundation/Mars Tasks NYC Dept. of Education Unit 1 Multiplication & Division Concepts 4.NBT.2 4.NBT.5 College Basketball Attendance Part 1: The college student sections at college basketball games vary. UNC Chapel Hill has 1,197 seats reserve for their Carolina students. If students are only allowed to go to 1 game per season, how many different students can go to 6 games? Part 2: Meanwhile, UNC Charlotte only has 874 seats reserved for college students. If students are only allowed to go to 1 game per season, how many different students can go to 6 games? Part 3: How many more students can go to Caroline games than UNC Charlotte games? Explain how you found your answer. 4.OA.3, 4.NBT.5, 4.NBT.6 Sports Cards Mr. Torres sold a total of 30 boxes of sports cards at his store on Monday. These boxes contained only baseball cards and football cards. Each box contained 25 sports cards. He earned $3 for each sports card he sold. He earned a total of $1134 from the football cards he sold. What amount of money did Mr. Torres earn from the baseball cards he sold? In the space below, use pictures, numbers, and/or words to show how you got your answer. 4.NBT.6 Packaging Cupcakes The cupcake factory packages cupcakes into packages of 3, 6, and 9 cupcakes each. Part 1: They have 1,782 cupcakes to package. The company’s leaders want to divide the cupcakes so that an equal number of cupcakes will be put into the 3 different types of packages. How many cupcakes will go into each type of package? Part 2: How many packs of cupcakes will have 3 cupcakes in each pack? How many packs of cupcakes will have 6 cupcakes in each pack? How many packs of cupcakes will have 9 cupcakes in each pack? Part 3: Explain how you got your answer to Part 2 above. 4.NBT.6 Dividing Resources The school’s Parent Teacher Organization raised $7,326 through a fund raiser. Part 1: They divide the money evenly between the 6 grades at your school (Kindergarten through 5th Grade). How much will each grade receive? Part 2: With the amount of money that the fourth grade teachers received, they want to spend one-third of it on field trip fees. They will spend the rest on school supplies. How much money was spent on field trip fees? How much was spent on school supplies? Part 3: Explain how you found your answer to Part 2 above. 4.OA.1 Task 1: 24 = 8 x 3 24 = 3 x 8 24 is three times as many as 8. Draw a model to show what this means. 24 is eight times as many as 3. Draw a model to show what this means. Label your models with words or numbers. Task 2: Explain the relationship between the models. How is 3 x 8= 24 related to 8 x 3= 24? Task 3: Describe a real life situation that this model could represent. Explain how multiplication is used in this situation to compare the amounts. OR Think of a situation in real life where one amount is three times as much as another. What kind of situation might this describe? 4.OA.2 Comparing Money Raised A. Helen raised $12 for the food bank last year and she raised 6 times as much money this year. How much money did she raise this year? B. Sandra raised $15 for the PTA and Nita raised $45. How many times as much money did Nita raise as compared to Sandra? C. Nita raised $60 for the PTA, which was 3 times as much as Sandra raised. How much money did Sandra raise? 4.OA.2 Cars on a Ramp Sabrina and Joel are measuring how far their cars roll down a ramp. Sabrina’s car rolls forty-eight inches. Joel’s car rolls seventy-two inches. Sabrina says her car rolls four times as far as one foot. Joel says his car rolls two times as far as one yard. Who is correct, Sabrina or Joel? Show all your mathematical thinking. 4.OA.2 Dog Years It is said that dogs age seven years for every “people year.” Mason’s dog, Shep, was born on Mason’s eighth birthday. When Mason was nine years old, Shep was seven dog years old. In dog years, how old will Shep be on Mason’s twelfth birthday? Show all your mathematical thinking. 4.OA.3 How Many Teams? In eastern North Carolina there are 3,277 fourth graders signed up for basketball. In western North Carolina there are 2,981 fourth graders signed up for basketball. In the Piedmont region there are 1,512 players signed up. Every player will get placed on a team in their region of the state. Part 1: The league wants to place 9 players on each team? Leftover players will be added to teams, so some teams will have ten players. How many teams will have 9 players in each region of the state? How many teams will have 10 players in each region of the statewide? Statewide, how many teams have 9 players and how many teams have 10 players? Explain your reasoning. How Many Teams Con’t Part 2: In order to maximize playing time, the league decides to only place 7 players on each team. If there are extra players, some teams will have 8 players. How many teams will have 7 players in each region of the state? How many teams will have 8 players in each region of the state? Statewide, how many teams have 7 players and how many teams have 8 players? Explain your reasoning.
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