Chapter 3 School-Home Letter Dear Family, During the next few weeks, our math class will be learning about multiplication. We will learn how addition is related to multiplication and how to multiply with the factors 0, 1, 2, 4, and 5. You can expect to see homework that provides practice with multiplication. Here is a sample of how your child will be shown the relationship between addition and multiplication. equal groups Groups that have the same number of objects in each group. multiply When you multiply, you combine equal groups to find how many in all. Relate Addition and Multiplication This is how we will add or multiply to solve problems about equal groups. Add. STEP 1 Draw 2 counters in each rectangle to show 4 equal groups. STEP 2 Write an addition sentence to find how many counters in all. 2 1 2 1 2 1 2 5 8 Multiply. STEP 1 Draw 2 counters in each rectangle to show 4 equal groups. STEP 2 Write a multiplication sentence to find how many counters in all. 4 3 2 5 8 Tips Skip Counting Skip counting is another way to find how many objects in all. For example, there are 4 groups with 2 counters in each group, so skip counting by 2s can be used: 2, 4, 6, 8. There are 8 counters in all. Activity Help your child arrange 3 equal groups of like objects (no more than 10 objects in each group). Then have him or her write an addition sentence and a multiplication sentence to find how many objects in all. Chapter 3 P59
Capítulo 3 Carta para la casa Durante las próximas semanas, en la clase de matemáticas aprenderemos sobre la multiplicación. Aprenderemos cómo la suma se relaciona con la multiplicación y cómo multiplicar por los factores 0, 1, 2, 4 y 5. Llevaré a la casa tareas que sirven para practicar la multiplicación. Este es un ejemplo de la manera como aprenderemos la relación entre la suma y la multiplicación. grupos iguales Grupos que tienen la misma cantidad de objetos en cada grupo. multiplicar Cuando uno multiplica, combina grupos iguales para hallar cuántos hay en total. Relacionar la suma y multiplicación Así es como vamos a sumar y multiplicar para resolver problemas de grupos iguales. Sumar. PASO 1 Dibuja 2 fichas en cada rectángulo para mostrar 4 grupos iguales. PASO 2 Multiplicar. PASO 1 Dibuja 2 fichas en cada rectángulo para mostrar 4 grupos iguales. PASO 2 Pistas Contar salteado Contar salteado es otra manera de hallar cuántos objetos hay en total. Por ejemplo, hay 4 grupos con 2 fichas cada uno, por lo tanto puedes contar salteado de 2 en 2: 2, 4, 6, 8. Hay 8 fichas en total. Escribe un enunciado de suma para hallar cuántas fichas hay en total. 2 1 2 1 2 1 2 5 8 Escribe un enunciado de multiplicación para hallar cuántas fichas hay en total. 4 3 2 5 8 Actividad Ayude a su hijo a formar 3 grupos iguales de objetos parecidos (no más de 10 objetos en cada grupo). Después, pídale que escriba un enunciado de suma y uno de multiplicación para hallar cuántos objetos hay en total. P60
Name Count Equal Groups Draw equal groups. Skip count to find how many in all. Lesson 1 MA.3.A.1.1 Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. 1. 4 groups of 3 2. 4 groups of 2 3, 6, 9, 12 12 3. 3 groups of 5 4. 6 groups of 3 5. 4 groups of 4 6. 2 groups of 6 7. Allie is baking muffins for students in her class. There are 6 muffins in each baking tray. She bakes 4 trays of muffins. How many muffins is she making in all? 8. A snack package has 4 cheese sticks. How many cheese sticks are in 5 packages? Chapter 3 P61
Lesson Check (MA.3.A.1.1) 1. Skip count to find how many in all. 2. Skip count to find how many in all. A 3 B 6 C 9 D 12 F 6 G 12 H 18 I 24 Review Grade 3 (MA.3.A.6.1, MA.3.S.7.1) 3. Which digit makes the sentence true? 6,457,,219 A 3 B 5 C 6 D 7 4. Which number would you put in a frequency table to show a tally of //// ///? F 5 G 6 H 7 I 8 Look Back (MA.2.A.4.1, MA.3.A.1.1) 5. Which number continues the pattern? 6. Which number continues the pattern? 2, 4, 6, 8, 10, 12, A 14 B 16 C 18 D 20 5, 10, 15, 20, 25, 30, F 31 G 32 H 35 I 40 P62
Name Relate Addition and Multiplication Write related addition and multiplication sentences. 1. 3 groups of 5 5 5 5 15 3 5 15 1 1 5 3 5 3. 3 groups of 4 1 1 5 3 5 4. 6 groups of 3 1 1 1 1 1 5 3 5 2. 4 groups of 2 MA.3.A.1.1 Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. 1 1 1 5 3 5 ALGEBRA Lesson 2 5. 4 groups of 4 1 1 1 5 3 5 7. 5 groups of 2 1 1 1 1 5 3 5 6. 2 groups of 6 1 5 3 5 8. 4 groups of 6 1 1 1 5 3 5 9. There are 6 jars of pickles in a box. Ed has 4 boxes of pickles. How many jars of pickles does he have in all? Write a multiplication sentence to find the answer. 3 5 10. Each day, Jared rides his bike 5 miles. How many miles does Jared ride in all in 4 days? Write a multiplication sentence to find the answer. 3 5 Chapter 3 P63
Lesson Check (MA.3.A.1.1) 1. What is another way to show 3 1 3 1 3 1 3 1 3 1 3? A 5 3 3 B 4 3 3 C 8 3 3 D 6 3 3 2. Use the pictures. How many in all? F 8 H 12 G 10 I 14 Review Grade 3 (MA.3.A.6.1) 3. Write the number in standard form. 1,000 1 200 1 80 1 7 A 1,000 C 1,287 B 1,200 D 1,807 4. Estimate the difference. 2,968 2 524 F 3,000 H 2,050 G 3,500 I 2,500 Look Back (MA.2.A.4.1, MA.3.A.1.1) 5. Which number continues the pattern? 4, 8, 12, 16, 20, A 24 B 26 C 28 D 10 6. Which number continues the pattern? 3, 6, 12, 15, 18, F 19 G 20 H 21 I 22 P64
Name Lesson 3 Multiply with 2 Find the product. MA.3.A.1.1 Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. 1. 4 3 2 8 2. 2 3 6 3. 2 3 7 4. 9 3 2 5. 3 3 2 6. 2 3 1 7. 5 3 2 8. 2 3 2 Complete. 9. 3 2 5 16 10. 3 2 5 12 11. 9 3 5 18 12. 3 2 5 6 13. 3 2 5 4 14. 3 2 = 10 15. 1 3 5 2 16. 3 2 5 8 17. 12 5 3 2 18. 16 5 3 2 19. 5 5 3 2 20. 5 9 3 2 21. Jamie plans to give everyone at her party 2 gift certificates to the local ice cream shop. There will be 8 friends at her party. How many gift certificates will she give in all? 22. On Monday, Steven read 9 pages of his new book. To finish the first chapter on Tuesday, he needs to read twice as many pages as he read on Monday. How many pages does he need to read on Tuesday? Chapter 3 P65
Lesson Check (MA.3.A.1.1) 1. Write the multiplication sentence for the model. A 3 3 2 5 6 B 4 3 2 5 8 C 5 3 2 5 10 D 6 3 2 5 12 2. Find the product. F 9 G 11 H 18 I 20 2 3 9 Review Grade 3 (MA.3.A.6.1) 3. Which number do the blocks show? A 1,136 B 1,236 C 1,130 D 136 4. Which is a way to show 6,396 if you do not have any thousands cubes? F 6,396 tens G 6 hundreds 396 ones H 63 hundreds 9 tens 6 ones I 63 hundreds 96 tens Look Back (MA.2.A.2.1, MA.3.A.1.1) 5. Find the sum. 7 1 7 A 12 B 14 C 15 D 16 6. Find the sum. 8 1 8 F 14 G 16 H 18 I 20 P66
Name Lesson 4 Multiply with 4 Find the product. MA.3.A.1.1 Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. 1. 3 12 2. 8 3. 7 4. 6 5. 4 6. 9 7. 5 8. 2 Complete. 9. 4 1 4 5 10. 4 3 6 5 11. 4 3 7 5 12. 3 5 4 1 4 1 13. 8 5 14. 6 5 3 6 15. 4 1 4 1 4 1 4 5 16. 9 5 17. Courtney s school is having a family game night. Each table has 4 players. There are 7 tables in all. How many players are at game night? 18. Matthew is in a reading competition at school. He plans to read 4 books each month. How many books will he read in 9 months? Chapter 3 P67
Lesson Check (MA.3.A.1.1) 1. Which multiplication sentence is shown below? A 3 5 12 C 1 5 4 B 2 5 8 D 0 5 0 2. Find the product. F 11 G 14 H 21 I 28 7 Review Grade 3 (MA.3.A.6.1, MA.3.S.7.1) 3. How many thousands in all are there in 648,650? A 64 B 648 C 650 D 6,486 4. In Jane s pictograph, the symbol is equal to two students. One row has 8 symbols. How many students does the row represent? F 8 H 24 G 16 I 36 Look Back (MA.2.A.4.1, MA.3.A.1.1) 5. Use the table below to answer the question. One basket holds 10 apples. How many apples would 5 baskets hold? Number of Baskets Apples 1 2 5 10 20 30 A 40 C 55 B 50 D 60 6. Continue the pattern. 5, 10, 15, 20, 25, 30, 35, F 40 G 41 H 45 I 50 P68
Name Draw a Diagram Multiplication Draw a diagram to solve each problem. PROBLEM SOLVING Lesson 5 MA.3.A.1.1 Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. 1. Robert arranges some toy blocks into three rows. There are five blocks in each row. How many blocks are there in all? 2. Mr. Fernandez is putting tiles on his kitchen floor. There are two rows with nine tiles in each row. How many tiles are there in all? 3. In Jillian s garden, there are two rows of carrots, two rows of string beans, and a row of peas. There are eight plants in each row. How many plants are there in all? 4. In Sorhab s classroom, there are three rows with seven desks in each row. How many desks are there in all? 15 blocks 5. Maya visits the movie rental store. On one wall, there are 6 DVDs on each of five shelves. On another wall, there are 4 DVDs on each of four shelves. How many DVDs are there in all? 6. The media center at Josh s school has a computer area. The first four rows have six computers. The fifth row has four computers. How many computers are there in all? Chapter 3 P69
Lesson Check (MA.3.A.1.1) 1. Part of a sidewalk has 2 rows of red bricks with 4 bricks in each row. Another part has 2 rows of brown bricks with 4 bricks in each row. How many red and brown bricks are there in all? A 8 C 16 B 12 D 20 2. Ken watches the marching band in a parade. He sees two rows of flute players. Six people are in each row. How many flute players are there? F 2 G 6 H 12 I 14 Review Grade 3 (MA.3.A.6.1) 3. Manny is thinking of an even number between 410 and 430. The sum of the digits is 12. What is Manny s number? A 416 C 426 B 420 D 428 4. What is this number in standard form? 3,000 1 300 1 60 1 4 F 3,000 H 3,360 G 3,300 I 3,364 Look Back (MA.2.A.6.1, MA.3.A.1.1) 5. What is the sum of 6 1 6 1 6 1 6? A 12 B 18 C 24 D 30 6. What is the sum of 3 1 3 1 3 1 3? F 9 G 12 H 15 I 18 P70
Name Model with Arrays Draw an array to find the product. 10 1. 2 3 5 5 _ 2. 3 3 6 5 _ ALGEBRA Lesson 6 MA.3.A.1.1 Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. 3. 4 3 2 5 _ 4. 4 5 _ 5. 3 3 2 5 _ 6. 2 3 8 5 _ 7. Lenny is moving tables in the school cafeteria. He places the tables in a 7 array. How many tables are in the cafeteria? 8. Ms. DiMeo directs the school choir. She has the singers stand in three rows. There are 8 students in each row. How many students are there in all? Chapter 3 P71
Lesson Check (MA.3.A.1.1) 1. Which multiplication sentence does the array show? 2. Which multiplication sentence does the array show? A 2 3 3 5 6 B 6 3 3 5 18 C 3 5 12 D 3 3 5 5 15 F 3 3 9 5 27 G 3 3 8 5 24 H 3 3 7 5 21 I 4 3 5 5 20 Review Grade 3 (MA.3.A.6.1) 3. Find the sum. 395,296 1 204,282 A 599,578 B 599,579 C 599,678 D 599,778 4. Find the difference. 4,570 2 1,280 F 3,920 G 3,290 H 3,000 I 3,090 Look Back (MA.2.A.4.1, MA.3.A.1.1) 5. Which number continues the pattern? 6. Which number continues the pattern? 4, 8, 12, 16, A 18 B 20 C 22 D 24 10, 20, 30, 40, 50 F 6 G 55 H 60 I 70 P72
Name Commutative Property Write the multiplication sentence for the array. Then use the Commutative Property to write another multiplication sentence. ALGEBRA Lesson 7 MA.3.A.1.2 Solve multiplication and division fact problems by using strategies that result from applying number properties. 1. 2. 5 3 2 5 10 2 3 5 5 10 3. 4. Write the missing factor. 5. 7 3 2 5 3 7 6. 9 5 3 9 7. A garden store sells trays of plants. Each tray holds two rows of 8 plants. How many plants are there in all? 8. Jeff collects toy cars. He has them displayed in a case that has 4 rows. There are 6 cars in each row. How many cars does he have? Chapter 3 P73
Lesson Check (MA.3.A.1.2) 1. Which sentence demonstrates the Commutative Property of Multiplication? 2 5 8 A 8 5 32 B 4 3 2 5 8 C 2 3 8 5 16 D 2 1 4 5 6 2. Which is the missing factor? 7 5 3 7 F 2 G 4 H 7 I 28 Review Grade 3 (MA.3.A.6.1) 3. Add. 10,568 1 23,459 A 33,027 B 34,007 C 34,027 D 34,270 4. Estimate the difference. 72,835 2 37,094 F 30,000 G 40,000 H 50,000 I 110,000 Look Back (MA.1.A.1.3, MA.3.A.1.1) 5. What is the missing addend? 3 1 5 4 1 3 A 3 B 4 C 7 D 12 6. What is the missing addend? 1 2 5 2 1 6 F 2 G 4 H 6 I 8 P74
Name Multiply with 1 and 0 ALGEBRA Lesson 8 MA.3.A.1.2 Solve multiplication and division fact problems by using strategies that result from applying number properties. Find the product. 1. 4 3 1 4 2. 8 3 0 3. 4 3 0 4. 6 3 1 5. 0 3 3 6. 9 3 0 7. 8 3 1 8. 2 3 1 9. 0 3 6 = _ 10. 0 = _ 11. 7 3 1 = _ 12. 1 3 5 = _ 13. 3 3 _ = 3 14. _ 3 7 = 0 15. 1 3 9 = _ 16. 5 3 _ = 0 17. Peter is in the school play. His teacher gave one copy of the play to each of six students. How many copies did the teacher hand out? 18. There are only five empty juice boxes on the table. How many full juice boxes are on the table? Chapter 3 P75
Lesson Check (MA.3.A.1.2) 1. What multiplication sentence does the array show? A 1 3 6 5 6 C 2 3 6 5 12 B 1 3 0 5 0 D 0 3 6 5 0 2. What is the missing factor? 1 3 0 5 0 3 F 0 G 1 H 10 I 11 Review Grade 3 (MA.3.A.6.1, MA.3.S.7.1) 3. Estimate the sum. 9,881 1 1,235 A 10,000 B 11,000 C 12,000 D 13,000 4. What number would you put in a frequency table to show a tally of //// ////? F 5 G 7 H 9 I 10 Look Back (MA.1.A.1.3, MA.3.A.1.1) 5. Find the sum. 9 1 0 A 90 B 10 C 9 D 0 6. Find the missing addend. 5 1 5 5 F 0 G 1 H 4 I 5 P76
Name Multiply with 5 Find the product. 1. 5 3 6 30 2. 5 3 7 3. 5 3 3 Lesson 9 MA.3.A.1.1 Model multiplication and division including problems presented in context: repeated addition, multiplicative comparison, array, how many combinations, measurement, and partitioning. 4. 5 5. 5 3 0 6. 5 3 8 7. 5 3 2 8. 5 3 9 9. 3 3 5 5 10. 6 3 5 5 11. 7 3 5 5 12. 8 3 5 5 13. 9 3 5 5 14. 4 3 5 5 15. 5 3 5 5 16. 7 3 5 5 17. Ginger takes 8 nickels to buy some pencils at the school store. How much money does Ginger have to spend? 18. The gym at Evergreen School has three basketball courts. Five players are playing on each of the three courts. How many players are there in all? Chapter 3 P77
Lesson Check (MA.3.A.1.1) 1. Which multiplication sentence does the array show? A 0 3 5 5 0 C 1 3 5 5 5 B 2 3 5 5 10 D 3 3 5 5 15 2. Find the product. 5 3 8 F 8 G 16 H 35 I 40 Review Grade 3 (MA.3.A.6.1) 3. Which is one way to model 2,607? A 2,607 thousands B 2 thousands 607 hundreds C 2 thousands 60 tens 7 ones D 26 hundreds 7 tens 4. How many ten thousands are in 700,000? F 7 G 70 H 700 I 7,000 Look Back (MA.2.A.6.1, MA.3.A.1.1) 5. What is the addition sentence for 6 3 2 5 12? A 2 1 2 5 4 B 6 1 2 5 8 C 2 1 2 1 2 1 2 1 2 1 2 5 12 D 6 1 2 1 6 1 2 5 16 6. What is the addition sentence for 3 3 5 5 15? F 3 1 3 5 6 G 3 1 5 5 8 H 5 1 5 1 5 5 15 I 3 1 5 1 3 1 5 5 16 P78
Name MA.3.A.1.1, MA.3.A.1.2 Chapter 3 Extra Practice Lesson 3.1 (pp. 109 112) Draw equal groups. Skip count to find how many in all. 1. 2 groups of 4 2. 4 groups of 3 3. Starr is feeding 3 cats. She put 2 pouches of cat food in each dish. How many pouches did she use? 4. A pet store owner is arranging pet collars on 3 hooks. He puts 8 collars on each hook. How many collars are there? Draw the jumps on the number line to skip count. 5. 2 groups of 5 6. 8 groups of 2 0 5 10 15 20 25 0 5 10 15 20 25 Lesson 3.2 (pp. 113 116) Use counters to model. Then write related addition and multiplication sentences. 1. 2 groups of 2 2. 4 groups of 5 1 5 1 1 1 5 3 5 3 5 Write a multiplication sentence for each. 3. 4 1 4 1 4 1 4 5 16 4. 5 1 5 1 5 5 15 5. 6 1 6 5 12 3 5 3 5 3 5 Chapter 3 P79
Lesson 3.3 (pp. 117 120) Write the multiplication sentence for the model. 1. 2. 3 5 3 5 3. 4. 3 5 Find the product. 5. 2 3 8 6. 2 3 5 7. 5 3 2 8. 2 3 3 Lesson 3.4 (pp. 121 124) Find the product. 1. 3 2. 7 3. 9 4. 6 5. 5 6. 1 7. 2 8. 4 9. There are 4 rows of 8 boxes of new books in the library. How many boxes are there? 10. Liam s class is painting a mural. There are 4 rows of paint jars on the table. Each row has 6 jars. How many jars in all are on the table? P80
Lesson 3.5 (pp. 127 130) Draw a diagram to solve. 1. There are 3 rows of 4 stars and 2 rows of 9 circles in a pattern. What is the total number of stars and circles? 2. Dan made 18 bird feeders. He sold 12 of them. The rest of the bird feeders were hummingbird feeders. He sold those for $2 each. How much did he earn from the hummingbird feeders? 3. There are 9 boxes of 4 red pens and 2 boxes of 8 blue pens. How many pens are there in all? 4. There are 6 students in a nature club. Two students are absent. The rest each make 4 bird feeders. How many feeders are made in all? Lesson 3.6 (pp. 131 134) Draw an array to find the product. 1. 4 3 5 5 2. 6 3 3 5 3. 2 3 8 5 4. 1 3 9 5 P81
Lesson 3.7 (pp. 135 138) Write the multiplication sentence for the model. Then use the Commutative Property to write another multiplication sentence. 1. 2. 3. 3 5 3 5 3 5 3 5 3 5 3 5 Lesson 3.8 (pp. 139 142) Find the product. 1. 1 5 2. 9 3 1 5 3. 1 3 0 5 4. 7 3 0 5 5. 6 3 0 6. 5 3 1 7. 0 3 9 8. 1 3 8 Lesson 3.9 (pp. 143 146) Find the product. 1. 5 3 6 5 2. 5 9 3 5 3. 3 3 5 5 4. 5 7 3 5 5. 4 3 5 6. 5 3 8 7. 5 3 5 8. 5 3 1 9. Maya helps her aunt get ready for a yard sale. She has 5 boxes. If each box holds 9 plates, how many plates will fit in the boxes? 10. Grandpa Leo bought 5 pairs of gloves for his grandchildren. If each pair cost $3, how much did Grandpa Leo spend? P82