13.5. PROBLEM SOLVING Two-Step Problems. Plan. _ = p. _ out the problem. Unlock the Problem

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? Name 13.5 Essential Question PROBLEM SOLVING Two-Step Problems Number and Operations 3.4.K Algebraic Reasoning 3.5.B Also 3.5.D MATHEMATICAL PROCESSES 3.1.A, 3.1.B How can you use the strategy act it out to solve two-step problems?

1 ? Name 13.5 Essential Question PROBLEM SOLVING Two-Step Problems Number and Operations 3.4.K Algebraic Reasoning 3.5.B Also 3.5.D MATHEMATICAL PROCESSES 3.1.A, 3.1.B How can you use the strategy act it out to solve two-step problems? Unlock the Problem Madilyn bought 2 packs of pens and a notebook for $11. The notebook cost $3. Each pack of pens cost the same amount. What is the price of 1 pack of pens? Read What do I need to find? I need to find the price of 1 pack of _. What information am I given? Madilyn spent _ in all. She bought _ packs of pens and _ notebook. The notebook cost _. Plan Solve Describe how to act out the problem. Start with 11 counters. Take away 3 counters. total cost of p, cost of cost notebook 2 packs of pens _ _ = p _ = p Now I know that 2 packs of pens cost _. Next, make an array with the 8 remaining counters to show the cost of the 2 packs of pens. What is my plan or strategy? I will use the information to _ out the problem. Write an equation. $8 _ = _ So, the price of 1 pack of pens is _. Math Talk Mathematical Processes Why do you need to use two operations to solve the problem? Explain. Module

Try Another Problem Chad bought 4 packs of T-shirts. He gave 5 T-shirts to his brother. Now Chad has 19 shirts. How many T-shirts were in each pack? Read What do I need to find?

2 Try Another Problem Chad bought 4 packs of T-shirts. He gave 5 T-shirts to his brother. Now Chad has 19 shirts. How many T-shirts were in each pack? Read What do I need to find? Solve Describe how to act out the problem. What information am I given? Plan What is my plan or strategy? How can you use multiplication and subtraction to check your answer? 416 Math Talk Mathematical Processes Explain another strategy you could use to solve this problem.

Name Share and Show 1. Mac bought 4 packs of toy cars. Then his friend gave him 9 cars. Now Mac has 21 cars. How many cars were in each pack? First, subtract the cars Mac s friend gave him.

Tips 21 _ = c Problem Solving _ = c Then, divide to find the number of cars in each pack. c, cars in number p, number in 4 packs of packs each pack 12 _ = p _ = p So, there were _ cars in each pack.

3 Name Share and Show 1. Mac bought 4 packs of toy cars. Then his friend gave him 9 cars. Now Mac has 21 cars. How many cars were in each pack? First, subtract the cars Mac s friend gave him. total cars given c, cars in cars to Mac 4 packs Unlock the Problem Circle the question. Underline the important facts. Choose a strategy you know. Tips 21 _ = c Problem Solving _ = c Then, divide to find the number of cars in each pack. c, cars in number p, number in 4 packs of packs each pack 12 _ = p _ = p So, there were _ cars in each pack. 2. What if Mac bought 8 packs of cars and then he gave his friend 3 cars? Mac now has 13 cars. How many cars were in each pack? 3. Evaluate Ryan gave 7 of his model cars to a friend. Then he bought 6 more cars. Now Ryan has 13 cars. How many cars did Ryan start with? 4. Multi-Step Chloe bought 5 sets of books. She donated 9 books. Now she has 26 books. How many books were in each set? What strategy did you use? Module 13 Lesson 5 417

4 Daily Assessment Task Mathematical Processes Fill in the bubble for the correct answer choice. Use a problem-solving model to help you solve. 5. There are 32 girls in the Creekview Camping Club. They invite 17 more girls on a camping trip. If they camp at a site with 7 cots in each cabin, how many cabins will they fill? A 49 C 32 B 17 D 7 6. Evaluate Mr. Robb buys 3 packs of socks and a belt for $20. The belt costs $8. If each pack of socks costs the same amount, what is the price of 1 pack of socks? A $4 C $7 B $2 D $3 7. Multi-Step Teanna has 2 boxes of color pencils. One box has 20 color pencils and the other box has 16 color pencils. She gives her brother 3 of the color pencils. She wants to put the color pencils that she has left into 3 equal groups. How many color pencils can Teanna put in each group? A 3 C 6 B 11 D TEXAS Test Prep 8. Mr. Acosta bought 3 packs of markers. Each pack had the same number of markers. He gave 4 markers to his daughter. Now he has 14 markers. How many markers were in each pack? A 6 C 26 B 11 D 14

Homework and Practice Name Number and Operations 3.4.K Algebraic Reasoning 3.5.B Also 3.5.D MATHEMATICAL PROCESSES 3.1.A, 3.1.B 13.5 PROBLEM SOLVING Two-Step Problems Problem Solving 1. Mr.

5 Homework and Practice Name Number and Operations 3.4.K Algebraic Reasoning 3.5.B Also 3.5.D MATHEMATICAL PROCESSES 3.1.A, 3.1.B 13.5 PROBLEM SOLVING Two-Step Problems Problem Solving 1. Mr. Tran made a list of some items he sells in his store. He has 5 umbrellas, 2 beach balls, 12 beach chairs, and 9 sunglasses. There are some beach towels stacked equally on two shelves. Mr. Tran determined that there are 46 items. How many beach towels are on each shelf? Describe how to solve the problem. 2. Nickolas spends $17 to buy 4 cartons of yogurt and 3 bottles of juice. If each carton of yogurt costs $2, how much does each bottle of juice cost? Explain. 3. Karina has 55 marbles sorted equally into 5 bags. She gives her friend 10 marbles by pulling them equally from each bag. How many marbles does have now in each of her 5 bags? Write equations to solve. 4. Roberto buys 6 snack packages for his dogs. Each package has 4 snacks. He uses all of the snacks to give 3 snacks to each of his dogs. How many dogs does Roberto have? 5. Melinda has a collection of 54 seashells. She find 27 more shells. If Melinda wants to display her shells equally on 9 shelves, how many shells will she put on each shelf? Write equations to solve. Module 13 Lesson 5 419

6 Lesson Check TEXAS Test Prep Fill in the bubble completely to show your answer. 6. Multi-Step There are 22 adults and 41 children at a picnic. They sit at picnic tables in equal groups of 9. How many picnic tables are used? A 8 B 7 C 9 D 6 7. Multi-Step Craig buys 4 bags of dog treats for $3 each. He also buys 6 bags of cat treats for $4 each. How much money does Craig spend? A $7 B $24 C $12 D $36 8. Multi-Step Drew has 2 boxes of oatmeal. Each box has 9 packages of oatmeal in it. Drew cooks 2 packages of oatmeal every day. How many days will the oatmeal last? A 10 B 13 C 18 D 9 9. Multi-Step Mrs. Johnson bought her nephews 30 pairs of socks. The socks are sold with three pairs in a package. If she gives two packages to each nephew, how many nephews is she giving socks to? A 30 B 5 C 10 D Multi-Step Arnie buys 5 cartons of yogurt and 1 gallon of milk for $21. The milk costs $6. How much does each carton of yogurt cost? 420 A $12 B $5 C $3 D $ Multi-Step There are 24 boys and 32 girls at the spelling bee. They are grouped into teams of 8. How many teams are formed? A 3 B 7 C 4 D 9

7 Name Concepts and Skills Module 13 Assessment 1. Explain how to find 30 6 by making equal groups. q TEKS 3.4.H Find the quotient. q TEKS 3.4.F, 3.4.J = _ 3. _ = = _ 5. _ = ) ) ) ) ) ) ) ) 32 Find the unknown factor and quotient. q TEKS 3.4.F, 3.4.J _ = = _ _ = 28 _ = _ 8 = = _ _ = 60 _ = 60 6 Module

8 Fill in the bubble for the correct answer choice. Use strategies to solve. TEXAS Test Prep 18. Maria has 54 flower seeds and 9 pots. If she wants to put an equal number of seeds in each pot, how many seeds will Maria put in each pot? q TEKS 3.4.F, 3.4.J, 3.4.K A 6 B 7 C 8 D There are 56 students at basketball camp. The coaches put 8 players on each team. How many teams did they make? q TEKS 3.4.F, 3.4.K, 3.5.B A 6 B 7 C 48 D Tristan bought 14 tickets when he arrived at the fair. Then he bought an additional 7 tickets to go on his favorite ride. The ride costs 7 tickets. How many times can Tristan go on his favorite ride? q TEKS 3.4.F, 3.4.J, 3.4.K A 24 C 9 B 18 D Liza bought 48 inches of ribbon to make bows. If she uses 8 inches of ribbon for each bow, how many bows can she make? q TEKS 3.4.F, 3.4.J, 3.4.K 422 Record your answer and fill in the bubbles on the grid. Be sure to use the correct place value

Name Unit 2 Assessment Vocabulary Choose the best term from the box. 1. An is a number sentence that uses the equal sign to show that two numbers are equal. (p. 320) 2.

The states that the product of zero and any number is zero. (p. 204) Concepts and Skills Write a division equation for the model. Then write a related multiplication sentence. q TEKS 3.4.F, 3.4.J, 3.

9 Name Unit 2 Assessment Vocabulary Choose the best term from the box. 1. An is a number sentence that uses the equal sign to show that two numbers are equal. (p. 320) 2. have the same number of objects in each group. (p. 173) 3. When you place the same number of tiles in each row, you make an. (p. 191) Vocabulary array equal groups equation Identity Property of Multiplication product Zero Property of Multiplication 4. The states that the product of zero and any number is zero. (p. 204) Concepts and Skills Write a division equation for the model. Then write a related multiplication sentence. q TEKS 3.4.F, 3.4.J, 3.4.K, 3.5.B _ _ = _ = _ = _ = _ = _ = _ Use properties to group the factors another way. Then find the product. q TEKS 3.4.G 8. 3 (3 30) 9. (40 2) (50 1) 11. (60 3) 2 Unit 2 423

10 Fill in the bubble for the correct answer choice. Use strategies you have learned to solve problems. TEXAS Test Prep 12. Vienna buys 6 boxes of crayons. If there are 8 crayons in each box, how many crayons does she have? q TEKS 3.4.E, 3.4.K A 48 B 14 C 32 D The school center prints a newsletter that uses 6 pieces of paper. How many pieces of paper are needed to print 75 copies of the newsletter? q TEKS 3.4.G A 420 B 450 C 285 D Morgan has 6 toy cars. Each car has 4 wheels. How many wheels do the cars have in all? q TEKS 3.4.E, 3.4.K A 2 C 24 B 10 D James made 2 arrays to show the Commutative Property of Multiplication. Which is a multiplication sentence for each array. q TEKS 3.4.E, 3.4.K, 3.5.B 424 A 3 5 = 15; 5 3 = 15 B 15 5 = 10; 15 3 = 12 C 2 3 = 6; 3 2 = 6 D 4 3 = 12; 3 4 = 12

11 Fill in the bubble for the correct answer choice. Use strategies you have learned to solve problems. TEXAS Test Prep 16. Aidan bought 18 goldfish and 3 fish bowls. He put an equal number of fish in each fishbowl. Which equation can be used to find how many goldfish are in each fishbowl? q TEKS 3.4.H, 3.4.K, 3.5.B A 18 3 = B 3 + = 18 C D 18 3 = 3 18 = 17. James made an array with 6 rows of 4 blocks. Which number sentence shows one way to break apart his array to find the product? q TEKS 3.4.K, 3.5.B A 6 4 = (6 4) + (6 4) B 6 4 = (6 2) + (6 2) C 6 4 = (6 + 2) + (6 + 2) D 6 4 = (3 2) + (3 2) 18. Derek has 6 dogs. Each dog gets 3 dog biscuits every day. How many biscuits will Dexter need for all of his dogs for Saturday and Sunday? q TEKS 3.4.K A 18 B 8 C 16 D Which of the following multiplication equations can be used to find 63 7? q TEKS 3.4.F, 3.4.J, 3.4.K, 3.5.B A 7 7 = 49 B 6 7 = 42 C 7 9 = 63 D 7 5 = 35 Unit 2 425

12 Fill in the bubble for the correct answer choice. 20. There are 54 students in the marching band. They form equal rows, so that there are no fewer than 5 rows and no more than 10 students in each row. Which is an array that would show how many rows they form and how many in each row? q TEKS 3.4.F, 3.4.J, 3.4.K, 3.5.B A 6 rows of 9 students C 10 rows of 5 students B 5 rows of 10 students D 6 rows of 8 students TEXAS Test Prep 21. There are 15 boys going camping. They brought 5 tents. An equal number of boys sleep in each tent. How many boys will sleep in each tent? q TEKS 3.4.H, 3.4.K A 2 C 10 B 3 D Cherokee s apartment number is an even product between 30 and 40. One factor is even and one factor is odd. Both factors are 1-digit numbers. What is his apartment number? q TEKS 3.4.I A 37 C 36 B 32 D Ruben is collecting cans for a school contest. He makes two plans to try to collect the most cans. In plan A, he collects 20 cans a week for 9 weeks. In plan B, he collects 30 cans a week for 7 weeks. Which plan should Ruben choose? Explain how you made your choice. q TEKS 3.4.K, 3.4.G 426

10.5 Model with Arrays

? Name 10.5 Model with Arrays Essential Question How can you use arrays to solve division problems? Number and Operations 3.4.H, 3.4.K Algebraic Reasoning 3.5.B MATHEMATICAL PROCESSES 3.1.C, 3.1.E Investigate