Math in My World: K-5 Common Core for Angeleno Students

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Math in My World: K-5 Common Core for Angeleno Students

NAME: ______

Grade 3 3.OA.A.1

Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 x 7.

Problem 1: Field Trip to the L.A. Philharmonic

All Santa Monica-Malibu Unified District third and tenth graders are going on a field trip to see the L.A. Philharmonic perform. Students from every school are planning to meet at the Downtown Santa Monica Station so they can take Expo Line to downtown L.A., where the L.A. Philharmonic will play at the Walt Disney Concert Hall.

Teachers and chaperones are trying to calculate the costs with regard to the Expo Line Tickets and need your help.

1) Suppose 863 students will be attending the performance at the Walt Disney Concert Hall. Each Expo Line Ticket will cost $3 per student to get to and from the Walt Disney Concert Hall, including the short bus ride from the downtown station to the hall itself. How could you mathematically express the total cost for all of the Expo Line Tickets?

2) If there are 4 adults going with every class and there are 22 different classes, how could you mathematically express the total number of adults going?

3) If there are 26 students in each class and 30 classes are going to the show, how could you mathematically express the total number of students going?

Grade 3 3.OA.A.1

Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 x 7.

Problem 2: Expressing Groups

Write multiplication expressions that represent the following groups of objects for each section below.

Grade 3 3.OA.A.1

Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 x 7.

Problem 3: Thinking About Transit

For the following mathematical expressions, describe a situation that represents the numerical expression and its product by writing a story that involves the written theme of transportation.

Story 1: Busses

Expression: 20 x 3

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Story 2: Bicycling to School

Expression: 4 x 52

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Story 3: Walking

Expression: 7 x 34

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Story 4: Riding Rollerblades

Expression: 6 x 26

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Grade 3 3.OA.A.2

Interpret whole-number quotients of whole numbers, e.g., interpret 56 divided by 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 divided by 8.

Problem 1: Biking Groups

Use your knowledge of the meanings of multiplication and division to answer the questions below each set of bikers.

Biker Set #1

The number of bikers above can be expressed as 5 x 4 = 20, because there are 5 bikers in each group, and 4 groups of bikers.

a.  What would the equation 20 ÷ 4 = 5 mean for this problem? ______

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b.  What would the equation 20 ÷ 5 = 4 mean for this problem? ______

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Biker Set #2

The number of bikers above can be expressed as 2 x 6 = 12, because there are 2 bikers in each group, and 6 groups of bikers.

a.  What would the equation 12 ÷ 6 = 2 mean for this problem? ______

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b.  What would the equation 12 ÷ 2 = 6 mean for this problem? ______

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Grade 3 3.OA.A.2

Interpret whole-number quotients of whole numbers, e.g., interpret 56 divided by 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 divided by 8.

Problem 2: “How many groups?” vs. “How many are in each group?”

Read the following sentences and circle the correct answer.

1. Akol’s teacher asked him to set out helmets for the bike field trip his class is going on tomorrow. He has 26 helmets and is supposed to put 2 helmets next to each bike until he runs out. What is a question that Akol might be asking?

“How many bicycles will my class use?” or “How many helmets go with each bicycle?”

2. Tania is helping her teacher get everyone ready for the busses for their upcoming field trip by making a list of students in each bus. Tania’s teacher asks her to put one student’s name in each bus until she runs out of student names. There are 27 students and 3 busses. What is a question that Tania could be considering?

“How many busses are we using?” or “How many students will be on each bus?”

3. Roberto wants to bike a total of 60 miles to and from school before he finishes the school year. He knows that his ride to and from school is 4 miles total each day. Which question makes sense for Roberto to ask?

“How many days will it take to bike 60 miles total?” or “How many miles will I bike each day?”

4. Nia is walking around Santa Monica. She knows it takes her about 2 minutes to walk each block when she walks along Montana Avenue. She wants to walk for 94 minutes. What is something she might be asking?

“How long will it take me to walk my goal?” or “How many blocks will I walk in all?”

Grade 3 3.OA.A.2

Interpret whole-number quotients of whole numbers, e.g., interpret 56 divided by 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 divided by 8.

Problem 3: How many?

For the following problems, fill in the blanks and write an equation that matches the picture or scenario. Show your work.

Grade 3 3.OA.A.3

Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

Problem 1: Santa Monica Streets

Use your knowledge of Santa Monica and of multiplication and division to solve the following problems. Show your work by drawing a picture or writing down a multiplication or division equation.

Problem Set A

1) There are 5 major boulevards of equal length in the City of Santa Monica, and their combined length is about 15 miles long. How long is each boulevard?

2) There are 5 boulevards in the City of Santa Monica, and each Boulevard is 3 miles long. How long is their combined length?

3) What is the difference between Question 1 and Question 2? What is the difference in your strategy to solve?

Problem Set B

4) You have 60 minutes to spare and decide to walk the length of 14th Street from 14th St. & Ashland Avenue to 14th St. & San Vicente Boulevard. If the length of your walk is 3 miles and you want to walk each mile at the same pace, how long does it take you to walk each mile?

5) You have 60 minutes to spare and decide to walk the length of 14th Street from 14th St. & Ashland Avenue to 14th St. & San Vicente Boulevard. If it takes you 20 minutes to walk 1 mile, how many miles are you able to walk in those 60 minutes?

6) What is the difference between Question 4 and Question 5? What is the difference in your strategy to solve?

Grade 3 3.OA.A.3

Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

Problem 2: Getting to the L.A. Philharmonic

Use your knowledge of Santa Monica and of multiplication and division to solve the following problem. Show your work by drawing a picture or writing down a multiplication or division equation.

If you were your teacher, would you choose Way #1, or Way #2 to get all students to the Walt Disney Concert Hall? How much money does each way have left over after the cost of the tickets? Show your work, and then explain your decision in the blank lines provided below.

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Grade 3 3.OA.A.3

Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.

Problem 3: Santa Monica Streets

The following table shows how much a day pass and a 7-day pass cost to ride on the Big Blue Bus. Use the table to answer the questions below.

1) If you have $70 to spend on yourself and your 4 siblings, can each kid get a 7 Day Bus Pass?

2) How much does the 7 Day Pass cost per day if you split up the cost for each of the 7 days?

3) Leila’s grandmother wants to buy her and all of her cousins Day Passes on the Big Blue Bus so they can travel around Santa Monica together on a Saturday. If there are 17 grandchildren, how much money will Leila’s grandmother spend?

4) If you have $84, how many 7 Day Passes can you buy? How many Day Passes can you buy? Would it be better to buy the 7 Day Passes with your money or the Day Passes?

Grade 3 3.OA.D.8

Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Problem 1: Getting Around Santa Monica

Solve the following problems by writing equations and drawing pictures or diagrams in the boxes provided to the right of the problem.

1) Joshua lives 12 miles from the beach. If he bikes half of the distance and then walks 1 more mile, how many more miles does he have left until he reaches the beach?

2) Omar’s family is going on vacation to L.A. and they are going to visit Santa Monica for a week. They have $150 dollars to spend on transportation. If a 7-Day Big Blue Bus pass costs $14, and there are 8 people in his family, how much money will they have leftover if they buy each person in his family a bus pass?

3) Rico picks up his little brother from Grant Elementary School every day. It takes him 36 minutes to walk from Santa Monica High School to Grant Elementary School. It takes half that amount of time to take the bus and walk. If he walks for 7 minutes when he takes the bus, how long is he on the bus for?

4) Elizabeth’s uncle picks her up at Mar Vista Recreation Center 150 minutes after school gets out every day. It takes Elizabeth 22 minutes to bike to Mar Vista from Edison Language Academy, where she goes to school. Then, she plays soccer for 70 minutes, and spends half of the rest of her time doing homework and the other half playing jumprope. How long does she spend on homework every day?

Grade 3 3.OA.D.8

Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Problem 2: Matching Transportation Problems

Match the following problems to the correct formulas on the right hand side by drawing a line from the problem to the set of equations.

Grade 3 3.OA.D.8

Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.

Problem 3: At the Bike Store

You and your friends are going on a bike ride this weekend and see the following prices at the bike store for a daily rental.

1) If 4 adults decide to rent the green mountain bike and 2 kids decide to rent the orange trainer bike, how much will the total cost be?

2) You saved up $105 to rent some bicycles for you and your friends for your birthday. If you rent only purple BMX bikes, how many kids can you invite to your birthday? If the parent chaperones get 3 green mountain bikes, how much will the total cost be?