1i) A movie ticket costs $5.25. If you and a friend have $10 and want to see a movie, how much more money do you need? Check the box next to the correct answer.
a. $1.00b. $0.75c. $0.50
1g) Your group wants to buy lunch. A drink costs $0.90, a sandwich costs $2.40, and a cup of frozen yogurt costs $0.75. How much money does your group need to buy lunch? Work with your group to find the answer. Compare answers and methods. Check the box next to the answer you all agree is correct.
a. $5.25 per lunch x number of students in the groupb. $4.05 per lunch x number of students in the groupc. $4.75 per lunch x number of students in the group
1f) Have your child sort some spare change into separate piles of pennies, nickels, dimes, and quarters. Have your child figure out how many dollars and cents there are of each type of coin. Then have him or her determine which pile is worth the most money. Finally, have your child find the difference in value between this pile and each of the others.
2i) Juan went to the store and bought a dozen pieces of candy. If he gave 5 to his little brother and 4 to his little sister, how many pieces of candy did he have left for himself? Check the box next to the correct answer.
a. 3 piecesb. 6 piecesc. 9 pieces
2g) Work with a group. Compare the number of pencils and pens you have with the number of pencils and pens the other students in your group have. How many more or fewer pencils and pens do you have than the other students in your group?
2f) With your child, measure the heights of several family members. Then ask your child the following questions: Which family member is the tallest? the shortest? How much taller is the tallest family member than each of the others?
3i) Find the greatest common factor (GCF) of each of the following sets of numbers. Check the box next to each correct answer.
3g) Work with a friend. Find the GCF of each of the following groups of numbers, and have your friend do the same. Compare answers and methods. Check the box next to each answer you both agree is correct.
3f) Have your child explain what the term greatest common factor means. Then have him or her determine the GCF for each set of numbers.
1. 200, 300, 400 2. 300, 450, 600 3. 555, 666, 777
Note: Factors of a number are whole numbers that divide the number without a remainder. The factors of 20 are 1, 2, 4, 5, 10, and 20 (1 x 20 = 20, 2 x 10 = 20, etc.). The factors of 30 are 1, 3, 5, 6, 10, 15, and 30. The greatest common factor of 20 and 30 is 10.
4i) If you have a cake cut into 8 pieces and you eat two pieces, what fraction of the cake have you eaten? Check the box next to the correct answer.
a. 1/2b. 1/3c. 1/4
4g)Work with a group to solve the following: Suppose you have a dozen apples that are each cut into quarters, and each student in your group takes 3 pieces. What fraction of the apple pieces is left?
4f) Have your child solve the following: Suppose there are two pies for dessert, and each pie is cut into 6 slices. If 2 people have 2 slices each, what fraction of the slices is left? If 3 more people have 1 slice each, what fraction of the slices is now left?
5i) What are the following percents as fractions? Check the box next to each correct answer.
5g) Jessica is in a class of 20 students. Work with a group to answer the following questions about Jessica's class. Compare answers and methods. Check the box next to the answer you all agree is correct.
5f) Ask your child to write the following as fractions and percents:
6i) Over the course of 5 weeks, a family spent $102.41, $152.58, $93.11, $184.32, and $77.23 at the supermarket. What was the average amount they spent at the supermarket each week? Check the box next to the correct answer.
a. $121.93b. $121.80c. $152.50
6g) Work with a group to solve the following: Your group starts the day with 2 boxes that each contain a dozen pencils. If 25% of the pencils break and 12.5% are lost by the end of the day, how many pencils are left? Compare answers and methods. Check the box next to the answer you all agree is correct.
a. 25 pencilsb. 20 pencilsc. 15 pencils
6f) Have your child solve the following: Suppose you spend $30.66 for a six-month subscription to a monthly magazine. How much money do you spend per issue? How much would a twelve-month subscription cost?
7i) Mentally calculate the follwing products. Check the box next to each correct answer.
7g) Work with a friend. Choose one of the following statements and determine whether it is true or false. Explain how you determined your answer. Have your friend do the same.
7f) Have your child mentally calculate each product. Ask your child to explain how he or she found the answer.
1. 0.22 x 1000 2. 0.67 x 10 3. 9.43 x 100
8i) Round the following amounts to the nearest cent. Check the box next to each correct answer.
8g) Work with a group to solve the following: If each student in your group bought a book for $5.95 and paid 6% sales tax, how much would each student spend? If you bought the books as a group, how much would you pay? With your group, figure out whether you can save money by rounding off the tax if you buy the books together.
8f) Have your child solve the following: If Ben puts 10 gallons of gas into his car and pays $1.599 per gallon, how much does Ben pay for gas? How much would Ben pay if the gas cost $1.590 per gallon?
9i) Which number in each of the following groups is a prime number? Check the box next to the correct answer.
9g) Work with a group to determine how many prime numbers there are between 1 and 20. Then determine how many prime numbers there are between 20 and 40. Discuss why there are fewer prime numbers between 20 and 40 than between 1 and 20.
9f) A prime number is any number other than 1 that can be divided by only 1 and itself without a remainder. For example, 3 is a prime number; so is 7. Ask your child to name the prime numbers between 1 and 100.
10i) Determine the prime factorization of the following numerators and denominators. Then reduce the fractions. Check the box next to each correct answer.
10g) Work with a friend. Use prime factorization to reduce the following fractions, and have your friend do the same. Compare answers and methods. If your answers do not agree, discuss them with another pair of students, and then redo the problems using another method.
1. 336/384 2. 315/378 3. 153/204
10f) Have your child explain what prime factorization means. Then have him or her use prime factorization to reduce the following fractions.
1. 320/2560 2. 630/756 3. 408/459
11i) If Anne has a 16-oz container, how many trips will she need to make to fill her 11/2-gal fish tank? Check the box next to the correct answer.
a. 12 tripsb. 16 tripsc. 8 trips
11g) Work with a friend. Suppose you needed to fill some 64-oz paint cans with paint from a full 5-gal bucket. How many paint cans could you fill? Compare answers and methods. Check the box next to the answer you both agree is correct.
a. 14 paint cansb. 12 paint cansc. 10 paint cans
11f) Ask your child to find several liquid containers in your house and express the volume of the containers in cups.
12i) If you could read 10 pages of a book in 20 minutes, how many hours would it take you to read a book that was 100 pages long? Check the box next to the correct answer.
a. 10 hours and 15 minutesb. 5 hours and 10 minutesc. 3 hours and 20 minutes
12g) Work with a group to solve the following: If your group were having a party and it took 3 minutes for one person in the group to call and invite one friend, how many friends could your group invite in 9 minutes?
12f) Ask your child the following: If you could make 12 cookies in 8 minutes, how many cookies could you make in one hour?
13i) Find the area of a parallelogram that has a base of 12 ft and a height of 6 ft. Check the box next to the correct answer.
a. 62 ft2 b. 72 ft2 c. 52 ft2
13g) Work with a group. Together, measure the length and width of your classroom. Find the area and the perimeter of the room.
13f) Ask your child to estimate the area of a room in your home using the formula for the area of a rectangle, area = length x width (A = lw).
14i) What are the following percents as decimals and fractions? Check the box next to each correct answer.
14g) Work with a group. Name either a decimal number, a fraction, or a percent, and have the rest of the group convert it to the two remaining forms. Take turns.
14f) Open a book, such as your child's textbook, at random. Ask your child to write the number of pages up to that point as a fraction of the total number of pages in the book. You can repeat this exercise several times using different books.
15i) Complete this proportion: Three is to eight as twelve is to what number? Check the box next to the correct answer.
a. n= 32 b. n= 24 c. n= 36
15g) Work with a friend. Form a proportion by finding an equivalent ratio for each of the following ratios, and have your friend do the same. Compare answers and methods.
1. 5/6 2. 7/83. 65/70
15f) Have your child explain what a proportion is. Then work with your child to complete each proportion by finding the value for n.
1. n/4 = 9/12 2. n/15 = 6/5 3. n/21 = 1/7
16i) Next week 400 students will go on a trip aboard buses that hold 45 students each. How many buses will need to be used if all but the last bus has 45 students? How many students will ride on the last bus? Check the box next to the correct answer.
a. 7 buses; 45 studentsb. 8 buses; 40 studentsc. 9 buses; 25 students
16g) Work with a group to solve the following: How much money would your group need to go to an amusement park that charged $15.00 per person for admission? If you had $100.00, how much money would you have left over?
16f) Ask your child to determine how many $5.00 movie tickets he or she could buy with $23.00. How much money would be left over? Ask your child how many tickets he or she could buy if each ticket were $1.00 cheaper. How much money would be left over?
17i) The box for a model boat kit says the model boat is built on a scale of 1:20. If the length of the model boat is 12 inches, how long is the life-size boat? Check the box next to the correct answer.
a. 20 feet longb. 24 feet longc. 12 feet long
17g) Work with a group to solve the following: You are planning a hike in a national park. You measure on the map that the hike to the first rest stop is 31/2 inches, and the scale for the map is 3/4 inch per mile. How long is the part of the hike to the first rest stop? The next two parts of the hike measure 27/8 inches and 21/4 inches respectively on the map. How long are these parts of the hike?
17f) Have your child look at a map and measure the distance between your home and several other locations. Ask your child to use the map scale to determine how far away these places are.
18i) Find the following sums. Check the box next to each correct answer.
18g) Work with a friend. Solve the following problems, and have your friend do the same. Compare answers and methods. Check the box next to each answer you both agree is correct.
18f) Ask your child to find each sum. As your child does the computation, have him or her explain each step.
1. (-5) + (-7) + (-9) 2. (-21) + (41) + (-5) 3. (-78) + (-12) + (+20)
19i) What is the probability of rolling two sixes in a row with a single die? Check the box next to the correct answer.
a. 1/6 b. 1/12 c. 1/36
19g) Work with a group. Flip a coin two times, and have each friend do the same. How many in your group flipped 2 heads? 1 head and 1 tail? 2 tails? Calculate the probability of each of these three possible outcomes, and compare each probability with the number who had that outcome.
19f) Ask your child to determine the probability of picking an ace out of a well-shuffled deck of 52 cards. Then have your child determine the probability of picking a second ace from the deck without replacing the first one. What is the probability of picking two aces in a row from a deck of 52 cards?
20i) What are the Arabic numerals for the following Roman numerals? Check the box next to each correct answer.
20g) Work with a friend. Solve the following arithmetic problems in Roman numerals, and have your friend do the same. Compare answers and methods. Check the box next to each answer you both agree is correct.
20f) Ask your child to give the ages of your family members in Roman numerals.