Assignment. Money, Money, Who Gets the Money? Introduction to Picture Algebra
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1 Assignment Assignment for Lesson 1.1 Name Money, Money, Who Gets the Money? Introduction to Picture Algebra Date You and your friend Jamal go to lunch. You each order a cheeseburger and a large soft drink. Jamal also orders a small salad, which costs $1.09. The total for both of you is $6.27. How much does each of you owe? 1 1. Draw and label two boards that represent the amounts that you and Jamal owe. 2. Use the picture that you drew to help you solve the problem. What amount does each of you owe? Write your answer using a complete sentence. Jamal and Carla mow a lawn together to earn some more money for the summer. Carla begins mowing 30 minutes before Jamal. Then they mow together for 75 minutes until they finish. How much time did Jamal and Carla each spend mowing? 3. Draw and label two boards that represent the amount of time that Jamal and Carla mowed. 4. Use the picture that you drew to determine the amount of time spent mowing. How much time did Jamal and Carla spend mowing? Write your answer using a complete sentence. 5. What was the total time spent mowing? Write your answer using a complete sentence. 6. Suppose that Jamal and Carla together are paid $ How much were they paid for each hour of work? Remember that 1 hour is equal to 60 minutes. Write your answer using a complete sentence. 7. Because he worked for 75 minutes, Jamal should receive $6.25 of the $ How much should Carla receive? Use complete sentences to explain how you found the answer. Chapter 1 Assignments 1
2 1 2 Chapter 1 Assignments
3 Assignment Assignment for Lesson 1.2 Name Collection Connection Factors and Multiples 1. What factor of 24 is paired with 8? Write all of the factor pairs of 24. Date 1 2. What factor of 42 is paired with 6? Write all of the factors of What factor of 35 is paired with 5? Write all of the factors of A collection of 24 marbles is divided into equal-sized groups. What group sizes are possible? 5. Our number system is based on the number 10. The Babylonians based their number system on the number 60. Write all of the factors of Why do you think the Babylonians chose the number 60 as the base of their system? Write your answer using a complete sentence. 7. Lilly listed 1, 2, 3, 4, 8, 12, 24, 32, 48, and 96 as factors of 96. Is her list complete? 8. Caitlin has a collection of CDs. The number of CDs that she has is divisible by 2, 3, 4, 5, and 6. What is the least number of CDs that Caitlin can have in her collection? 9. Write four number sentences using the numbers 3, 6, and 18. Then complete the statements. The number 3 is a of 18. The number 18 is a of 6. The numbers 3 and 6 are a of 18. Chapter 1 Assignments 3
4 1 4 Chapter 1 Assignments
5 Assignment Assignment for Lesson 1.3 Name Dogs and Buns Least Common Multiple Date Your club is packing bag lunches for an upcoming trip and wants to include at least one hard-boiled egg in each lunch. There are 8 students going on the trip. Eggs are sold in cartons of one dozen, or 12 eggs. The club wants to put an equal number of eggs in each lunch and have no eggs left over. How many dozens of eggs do they need to buy? 1 1. List the first ten multiples of List the first ten multiples of What numbers are in both sets of multiples? 4. Of the numbers that are in both sets, which is the smallest? 5. How many dozens of eggs does the club need to buy? In a video game, a character needs to shine a light through two spinning wheels that have holes in them. The first wheel makes a complete rotation in 7 seconds. The second wheel makes a complete rotation in 9 seconds. The holes are lined up at 0 seconds. How many seconds will pass before they are lined up again? 6. List the first ten multiples of List the first ten multiples of What is the least common multiple of 7 and 9? Write a complete sentence to explain your answer. 9. How many seconds will pass before the holes are again lined up? 10. Find the least common multiple of each pair of numbers. 3 and 5 4 and 6 8 and and 15 Chapter 1 Assignments 5
6 1 6 Chapter 1 Assignments
7 Assignment Assignment for Lesson 1.4 Name Kings and Mathematicians Prime and Composite Numbers Date 1 Use the divisibility rules on page 18 in your text to decide whether each number is prime or composite. Use a complete sentence to explain your reasoning All of the prime numbers up to 50 are listed below. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, List all of the even prime numbers. 7. Explain your answer to Question 6 using divisibility rules. In each list, identify the number that is not prime. Then write a complete sentence that explains why it is not prime , 63, 71, , 103, 105, 107 Name the property that is illustrated Chapter 1 Assignments 7
8 1 8 Chapter 1 Assignments
9 Assignment Assignment for Lesson 1.5 Name I Scream for Ice Cream Prime Factorization Date Desmond s class invents a game that they call Factor It. For each round, the teacher turns over a card with a number on it and the students write a factorization for the number. Students receive 1 point for each factor in their factorization. For example, suppose that the teacher turned over a card with 36 on it. 1 Desmond writes down 3 12 and receives 2 points. Cynthia writes down and receives 3 points. Juan writes down and receives 4 points. Juan wins the round because he has the most points. For each number on the cards that the teacher turns over, write a factorization that will get you the greatest number of points in the game. Construct a factor tree to check your answer Suppose that the teacher turns over a card that has a 60 on it. Desmond writes (2 2) Juan writes 2 2 (5 3) Whose answer is correct? How do you know? Write a complete sentence to explain your reasoning. Chapter 1 Assignments 9
10 1 10 Chapter 1 Assignments
11 Assignment Assignment for Lesson 1.6 Name Powers That Be Powers and Exponents Date 1 1. How can divisibility rules help you to find the prime factorization of 513? Use complete sentences to explain. For each power, identify the base and the exponent. Then evaluate the power Base: Exponent: Base: Exponent: Base: Exponent: Base: Exponent: Use a factor tree to find the prime factorization of each number. Then use exponents to write the prime factorization Prime factorization Prime factorization Prime factorization Prime factorization Chapter 1 Assignments 11
12 1 12 Chapter 1 Assignments
13 Assignment Assignment for Lesson 1.7 Name Beads and Baubles Greatest Common Factor Date 1. Your aunt s club is planning to sell small bags of different types of beads to people who want to make their own bead jewelry. The table below lists the different types of beads and how many they have. 1 Type of Bead Quantity Oval bead 24 Metal bead 18 The club wants to divide these beads into bags so that each bag has exactly the same number of oval beads and metal beads. What is the greatest number of bags that they can make so that all of the beads are used and there is the same number of each bead in each bag? Write your answer using a complete sentence. 2. Complete the table to find the greatest common factor of 100 and 64. Number Unique Factor Pairs Unique Factors Common Factors The greatest common factor of 100 and 64 is. 3. Complete the table to find the greatest common factor of 36 and 48. Number Unique Factor Pairs Unique Factors Common Factors The greatest common factor of 36 and 48 is. Find the greatest common factor of each set of numbers and and and and , 55, and , 48, and 80 Chapter 1 Assignments 13
14 1 14 Chapter 1 Assignments
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