1i) A T-shirt costs $7.50. If you have $14.00 and want to buy 2 T-shirts, how much more money do you need? Check the box next to the correct answer.
a. $1.00 moreb. $7.50 more c. $14.00 more d. $15.00 more
1g) Work with a group. Suppose you want to buy lunch for everyone in the group. A juice drink costs $1.25, a salad costs $2.50, a sandwich costs $4.00, ice cream costs $1.25, and corn chips cost $0.80. Make up an order for your group. How much money do you need to buy lunch for your 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) Karen bought a dozen daisies. If she gave 3 to her sister and 6 to her mother, how many daisies did she have left for herself? Check the box next to the correct answer.
a. 3 daisiesb. 6 daisies c. 4 daisies d. 2 daisies
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. Who has the most pencils and pens? Who has the fewest? How many more or fewer pencils and pens do you have than the student who has the most or the fewest?
2f) With your child, measure the height 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) An apple picker picked 420 apples from 7 trees. What is the average number of apples she picked from each tree? Check the box next to the correct answer.
a. 70 applesb. 60 apples c. 80 apples d. 50 apples
3g) Work with a group. Determine the number of cousins the students in your group have altogether. What is the average number of cousins per student?
3f) Ask your child to write an equivalent fraction for 4/8 and explain why it is equivalent.
4i) Suppose you have a pie cut into 9 pieces, and you and your brother each eat 3 pieces. What fraction of the pie has not been eaten? Check the box next to the correct answer.
a. 1/2b. 1/9c. 1/3 d. 1/6
4g) Work with a group to solve the following: Suppose there are a dozen spice loaves that are each cut into 3 pieces, and each student in your group takes 2 pieces. What fraction of the pieces is left over?
4f) Have your child solve the following (you may want to ask your child to draw pictures to illustrate the solution): Suppose you have 2 pizzas and each pizza is cut into 8 slices. If 3 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) If a box of 20 pencils costs $2.40, what is the cost per pencil? How would you express this as an equivalent division problem? Check the box next to the correct answer.
a. $2.40/20 = $0.24/2 = $0.12 per pencilb. $240/20 = $24/2 = $12 per pencil
5g) Work with a friend. Solve the following and have your friend do the same: A dozen notebooks cost $24.48. Estimate how much 6 notebooks would cost. Compare answers and methods. Then check the box next to the answer you both agree is correct.
a. $14.50 for 6 notebooksb. $18.00 for 6 notebooksc. $12.24 for 6 notebooks
5f) Have your child solve the following (before your child begins solving, you may want to help him or her clarify the problem by asking him or her how many days are in a week and how many weeks are in a year): A commercial laundry does about 35 pounds of sheets each week. About how many pounds of sheets are done in 350 days? Use this number to estimate how many pounds are done in a year. Choose the best estimate and explain your reason.
a. between 100 and 200 poundsb. between 200 and 300 poundsc. between 500 and 1000 pounds d. between 2000 and 3000 pounds
6i) Over the course of 5 weeks, a family spent $115.60, $128.46, $91.78, $156.29, and $188.82 at the supermarket. What is the average amount they spent at the supermarket each week? Check the box next to the correct answer.
a. $130.83b. $120.73 c. $125.91 d. $136.19
6g) Work with a group to solve the following: An artist had 3 boxes of a dozen colored pens each. After a month 25% of the pens dried up and 33.3% broke. How many pens were left? With your group, make a step-by-step plan to solve the problem. Follow the plan and have the other students in your group do the same. Compare answers and methods. Then check the box next to the answer you all agree is correct.
a. 15 pensb. 13 pensc. 11 pensd. 10 pens
6f) Have your child solve the following: Suppose you spend $42.18 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) Use the formula for the area of a triangle, A = 1/2 bh, to find the area of a triangle with b = 5 and h = 6. Check the box next to the correct answer.
a. A = 51/2 b. A = 30c. A = 15
7g) Work with a group to come up with a list of five values for the base (b) and height (h) of a triangle with an area (A) of 24.
7f) Ask your child to measure the length (l) and width (w) of a rectangular-shaped surface, such as the surface of a table or bed, in your home. Then have your child use the formula for the area of a rectangle, A = lw, to find the area of the surface. (This activity will work best if your child rounds the length and width to the nearest foot.)
8i) What is 70% expressed as a decimal and a fraction? Check the box next to the correct answer.
a. 0.70 and 7/100 b. 0.70 and 7/10c. 7.0 and 1/70
8g) Work with a group. Name either a decimal, a fraction, or a percent, and have the other students in the group convert it to the remaining two forms. Take turns naming a decimal, fraction, or percent and having the other students convert it.
8f) 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 may repeat this exercise several times using different books.
9i) The sun is 93 million miles away from Earth. What is this distance in scientific notation? Check the box next to the correct answer.
a. 9.3 x 107 miles b. 93 x 107 milesc. 0.93 x 107 miles d. 0.093 x 107 miles
9g) Work with a group to multiply one thousand by one thousand, one million by one million, and one billion by one billion. Put an in the box next to the scientific notation for one thousand times one thousand, a in the box next to the scientific notation for one million times one million, and a in the box next to the scientific notation for one billion times one billion.
a. 103 x 103 = 106 b. 106 x 106 = 1012 c. 109 x 109 = 1018
9f) Have your child explain how to write a number such as 89 million in scientific notation (8.9 x 107). Then use an almanac or encyclopedia to help your child find the distance from Earth of the planets closest to and farthest from Earth. Work with your child to write the distances in scientific notation.
10i) Patricia got an 85 and a 92 on her first two tests. What score does she need on her third test to have a 90 average? Check the box next to the correct answer.
a. 98 b. 90c. 93 d. 92
10g) Work with a group. Choose a number between 1 and 100, and have each friend do the same. Together, calculate the average of the group's numbers.
10f) Ask your child to find out the age of everyone in your home and calculate the average. Then ask your child to calculate what the average age of everyone will be in ten years.
11i) Find the following sums. Check the box next to each correct answer.
11g) Work with a friend. Solve these two arithmetic problems, and have your friend do the same. Then compare and discuss the solutions.
11f) Ask your child to compute these sums mentally. Have your child explain the method he or she used.
12i) If you could read 15 pages of a book in 30 minutes, how many hours would it take you to read a book that was 300 pages long? Check the box next to the correct answer.
a. 15 hours b. 12 hours c. 5 hours d. 10 hours
12g) Work with a group. Tell how many blocks you think you can walk in 20 minutes, and have each friend do the same. Use your number to figure out how many blocks you can walk in 60 minutes, and have each friend do the same. Who can walk the most blocks in 60 minutes? Who will walk the fewest? What is the difference?
12f) Have your child time how long it takes him or her to walk 3 blocks. Then ask your child to calculate approximately how long it would take him or her to walk 12 blocks. Have your child time how long it takes him or her to walk that distance. If the time was not the same as the calculated answer, discuss why.
13i) Check the box next to each correct answer.
13g) Work with a group. Determine what percent of your group has only brothers, what percent has only sisters, what percent has both brothers and sisters, and what percent has no brothers or sisters.
13f) Ask your child to find the area of your kitchen and the area of your living room. Have your child express the size of your kitchen as a percent of the size of your living room, or vice versa if your kitchen is larger. Ask your child to explain how he or she determined the answer.
14i) What are the following products in scientific notation? Check the box next to each correct answer.
14g) Work with a friend. Create a multiplication problem (with its answer) in scientific notation, and have your friend do the same. Then solve each other's problem. Check the answers. If your friend's answer to your problem is not the same as the answer you gave, or if your answer to your friend's problem is not the same as the answer he or she gave, work together to determine the reason.
14f) Have your child explain how to multiply using scientific notation. Then work together to solve the following:
15i) Find the following products. Check the box next to each correct answer.
15g) Work with a group to determine two terms that when multiplied together equal the following products.
15f) Ask your child to solve the following multiplication problems. Then have your child explain how he or she arrived at the solutions.
16i) Solve the following two-step equations. Check the box next to each correct answer.
16g) Work with a group to plan how you would express the following as a two-step problem: You are told to buy 2 magazines that cost m dollars each. If each of you has $1.00, how much can you afford to pay for each magazine?
16f) Have your child solve these problems. Then ask your child to explain the steps he or she used to solve them.
1. 8a + 8 = 2a - 42. 5/2a + 1/3 = 23. -3/4 + 7/2b = 3
17i) The box for a model car kit says the model car is built on a scale of 1:20. If the length of the model car is 6 inches, how long is the life-size car? Check the box next to the correct answer.
a. 132 inches or 11 feet longb. 120 inches or 10 feet long c. 108 inches or 9 feet longd. 144 inches or 12 feet long
17g) Work with a group of friends to solve the following. You are planning a hike in a national park. You measure on the map that the part of the hike to the first rest stop is 21/4 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 33/8 inches and 11/2 inches respectively on the map. How long are these parts of the hike? Decide how long it will take your group to hike one mile. Decide how long you will rest. Then determine how much time it will take to complete the hike and return to your starting point.
17f) Use a road map of your state to plan a trip. Have your child measure the distance between your home and several other places on the map. Ask your child to use the map scale to determine how far away these places are. Then help your child decide on three places that would be reasonable to visit if you had two weeks to travel by car.
18i) Solve the following equations for x if y= 3 and z= 20. Check the box next to each correct answer.
18g) Work with a friend. Convert the following temperatures from degrees Celsius to degrees Fahrenheit using the formula F = 1.8C + 32, and have your friend do the same. Compare your answers. Then check the box next to each answer you both agree is correct.
18f) Have your child use his or her textbook to locate the formula for converting degrees Fahrenheit to degrees Celsius. Go over the conversion method together. Then work with your child to convert the following temperatures from degrees Fahrenheit to degrees Celsius.
1. 98.6° F2. 32° F 3. the current temperature in degrees Fahrenheit
19i) A rectangular yard is 40 ft long and 30 ft wide. If you were to walk diagonally across it, how far would you have to walk? How much shorter is this distance than the distance around two sides of the yard?
19g) The numbers 3, 4, and 5 form a Pythagorean triplet because 32 + 42 = 52. Work with a group to try to find another Pythagorean triplet. (Hint: The number 5 is in another triplet in which the other two numbers are larger.)
19f) Tell your child that a 12-ft pole makes a shadow 8 ft long. Have your child calculate how far it is from the top of the pole to the end of the shadow and explain how he or she did the calcuation. Then ask, "What if the pole were only 10 ft high with an 8-ft shadow?"
20i) If you had a bucket that weighed 1 kg when empty and 16 kg when full, what would be the capacity of the bucket? Check the box next to the correct answer.
a. 16 kg b. 15 kg c. 17 kg
20g) Work with a group to solve the following: Pretend you are building a stand to hold a 30-gallon fish tank. If 1 gallon is equivalent to 3.8 liters, how many liters of water will the tank hold? What will be the mass of the tank when full if it is 4.5 kilograms when empty?
20f) Ask your child to measure the volume of several glasses or liquid containers with a metric cup measure. Have your child convert these volume measures in liters to mass measures in kilograms.