Math 2 Enrichment Problems

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Answers to problem sets

Activity Involves Skills Covered in Lessons 1–6

1i) Six butterflies were in the garden. Then six more butterflies came to the garden. How many butterflies were in the garden altogether? Check the box next to the correct answer.

a. 6 b. 9 c. 16 d. 12

1g) Play "Doubles Concentration" with some friends. On separate index cards, write 1 + 1, 2 + 2, 3 + 3, 4 + 4, 5 + 5, 6 + 6, 7 + 7, 8 + 8, and 9 + 9. On another set of index cards, write 2, 4, 6, 8, 10, 12, 14, 16, and 18. Shuffle the sets of cards together. Put the cards facedown in six rows, with three cards in each row. Turn over two cards at a time. If you turn over a doubles fact and its sum, keep the cards and take another turn. If you do not turn over a doubles fact and its sum, put the cards facedown in their places and ask the next player to take a turn. The winner is the player who has the most cards at the end of the game.

1f) As you read to your child or talk with your child about his or her day, be alert to the mention of numbers from 1 to 9. When you see or hear one of these numbers, say "Double" and have your child double the number.


Activity Involves Skills Covered in Lessons 7–12

2i) The clock shows the time. What time was it four hours ago?

Check the box next to the correct answer.

a. 10:00 b. 9:00 c. 8:00 d. 11:00

2g) Trace around a can or a cup to make a circle. Number the circle to show a clockface, and draw a time to the hour. Ask a friend to do the same. Ask each other questions about your clocks, such as, "What time is it?" "What time will it be in two hours? five hours?" "What time was it one hour ago? three hours ago?" Write the times.

2f) Ask your child to identify things he or she does on the hour. For example, school may start at 9:00, and a favorite television show may start at 8:00. Ask your child to trace around a can or a cup to make circles, and have your child draw clockfaces on the circles. Have him or her show the times you talked about.


Activity Involves Skills Covered in Lessons 13–18

3i) What is the name of the fourth shape?

Check the box next to the correct answer.

a. hexagon b. circle
c. triangle d. trapezoid

3g) Work with a partner. Use a ruler to draw straight-sided shapes. Trace around a can or a cup to make circles. Color the shapes and cut them out. Take some shapes and paste them on a sheet of paper to make a design. Exchange designs. Name the shapes in each other's designs.

3f) Ask your child to draw or describe a circle, a square, a triangle, and a rectangle. Point out that these shapes can be found in your house or neighborhood. Encourage your child to go on a "shape treasure hunt" to find objects at home or in your neighborhood that have the same shapes. Have your child list the objects and their shapes.


Activity Involves Skills Covered in Lessons 19–25

4i) Write a number sentence for this story: Mrs. Mills bought twelve chocolate chip cookies. Maria ate four of the cookies. How many cookies were left? Check the box next to the correct answer.

a. 12 - 3 = 9 b. 12 - 5 = 7
c. 12 - 4 = 8 d. 12 - 2 = 10

4g) Work with a partner. Tell each other "some, some more" stories. Draw pictures and write number sentences for each other's stories. Do the same with "some, some went away" stories.

4f) Have your child place one to nine pennies on a table. Add two pennies. Ask your child how many pennies there are now. Encourage your child to add rather than count to find the total. Repeat the activity several times, having your child use a different number of pennies each time.


Activity Involves Skills Covered in Lessons 26–32

5i) How many oblique line segments are in this picture?

Check the box next to the correct answer.

a. 4 b. 5 c. 7 d. 6

5g) Print the capital letters from A to M with a pencil. Ask a friend to print the capital letters from N to Z with a pencil. Trace all the vertical line segments with a red crayon. Trace all the horizontal line segments with a blue crayon. Trace all the oblique line segments with a yellow crayon. Show each other your papers and talk about what you notice. Do any letters have all three kinds of line segments? Do any letters have no line segments? Do any letters have only one kind or only two kinds of line segments?

5f) Ask your child to draw or describe horizontal, vertical, and oblique line segments. Encourage him or her to use horizontal, vertical, and oblique line segments to draw pictures of objects around your home. These objects might include windows, doors, stairs, and banisters.


Activity Involves Skills Covered in Lessons 33–38

6i) The animal doctor saw one dog named Duke, one named Lady, one named Rex, and one named Dudley in the morning. She saw 6 more dogs in the afternoon. How many dogs did the animal doctor see altogether? Check the box next to the correct answer.

a. 4 b. 6c. 10 d. 8

6g) Play "Make 10" with a partner. Write the numbers from 0 to 10 on separate index cards. Mix up the cards and scatter them facedown. Take turns picking two cards from the scattered pile. A player earns one point each time the numbers on the two cards add up to 10. Return the cards to the pile and mix them up after each turn. The first player to earn ten points is the winner.

6f) Place one to nine pennies on a table. Ask your child how many more pennies are needed to make a group of ten pennies. After he or she answers, have your child place that number of pennies on the table and count to check. Repeat, starting with a different number of pennies on the table.


Activity Involves Skills Covered in Lessons 39–45

7i) Jason had 4 dimes and 24 pennies. How much money did he have? Check the box next to the correct answer.

a. 28¢ b. 32¢ c. 64¢ d. 54¢

7g) Play a guessing game with a partner. Fill one cup with pennies. Put nine dimes into another cup. Take one or two handfuls of pennies out of the penny cup. Guess how many dimes you can trade the pennies for. Then put the pennies in stacks of ten. Take a dime for each stack. How close was your guess? Return the pennies and dimes to the cups, and let your partner have a turn.

7f) Hide up to ninety-nine pennies around the house. Ask your child to find the pennies and bring them to you each time he or she has found enough to trade for a dime. Give your child a dime for each group of ten pennies he or she finds.


Activity Involves Skills Covered in Lessons 46–52

8i) Refer to the picture below. To the nearest inch, how long is the line segment?

Check the box next to the correct answer.

a. 3 inches b. 4 inches
c. 2 inches d. 5 inches

8g) Use an inch ruler to draw several line segments. Ask a partner to do the same. Exchange papers. Measure each other's line segments to the nearest inch. Record the measurements next to the line segments.

8f) Ask your child to find several objects around the house that are less than twelve inches long. Encourage your child to measure the length or height of the objects to the nearest inch and to record the names and measurements of the objects.


Activity Involves Skills Covered in Lessons 53–59

9i) There are three baskets of flowers in a flower shop. One basket contains 54 white flowers. Another basket contains 45 yellow flowers. A third basket contains 56 pink flowers. What color are the flowers in the basket that contains the most flowers? Check the box next to the correct answer.

a. white b. pink c. yellow d. red

9g) Work with two friends. Write the digits from 0 to 9 on separate index cards. Mix them up and place them facedown in a pile. Take two cards from the pile and use them to make a two-digit number. Have your friends do the same. Then work together to place the numbers in order from least to greatest. Return the cards to the pile and mix them up. Then repeat the activity.

9f) Talk with your child about the ages of family members, including siblings, cousins, aunts, uncles, and grandparents. Have your child list each person's name and age. Challenge your child to write the ages in order from least to greatest and then to write the names in order from oldest to youngest.


Activity Involves Skills Covered in Lessons 60–65

10i) Tasha went to a petting zoo. She petted 5 lambs, 7 goats, 3 rabbits, 1 pony, 5 calves, and 6 kittens. How many animals did Tasha pet altogether? Check the box next to the correct answer.

a. 20 b. 30 c. 25 d. 27

10g) Use index cards to make two sets of 1–9 number cards. Sit in a circle with some friends. Shuffle the sets of cards together and stack them facedown. Turn over a card and say the number on it. Have the friend sitting next to you turn over another card and add the number on it to the first number. Then have the next friend in the circle turn over another card and add the number on it to the previous sum. Keep turning over cards and adding until someone gets stumped. Shuffle the cards and play again.

10f) Help your child look for large numbers (numbers with at least three digits) in newspapers, magazines, and reference books. Challenge your child to add all the digits in each number.


Activity Involves Skills Covered in Lessons 66–72

11i) Bao had 78¢ in his pocket. Then he found 19¢ in a drawer. He wants to buy a toy truck that costs 90¢. Does he have enough money to buy the truck?

a. yes b. no

11g) Work with a friend. Write the digits from 0 to 9 on separate index cards. Pick two cards and make a two-digit number less than 50. Have your friend do the same. (If you cannot make a number that is less than 50 with the cards you picked, use a single-digit number from one of the cards you picked.) Find the sum of the numbers. Have your friend check your addition. Repeat, but this time have your friend find the sum. Check your friend's addition.

11f) With your child, look for items in advertisements that cost less than 49¢. Pick two of the items. Ask your child to find the total cost of the items. Your child may use dimes and pennies to act out the addition.


Activity Involves Skills Covered in Lessons 73–79

12i) What mixed number do the pattern blocks below show?

Check the box next to the correct answer.

a. 3 b. 2 1/2 c. 2 2/3d. 2 1/3

12g) Work with a friend. Cut out several paper squares. Share the squares. Fold some of the squares into halves, thirds, fourths, eighths, and so on. Shade some of the equal parts. Use the unfolded squares and a folded square to model a mixed number. Have your friend name the mixed number. Then have your friend model a mixed number for you to name.

12f) Ask your child to tell you what he or she knows about mixed numbers. Then use an inch ruler to draw several line segments that end at a half-inch mark. Ask your child to measure each line segment and write its measurement using a mixed number.


Activity Involves Skills Covered in Lessons 80–85

13i) It is morning. What time is shown on the clock?

Check the box next to the correct answer.

a. 7:20 a.m.b. 7:25 a.m.
c. 7:20 p.m.d. 7:19 a.m.

13g) Trace around a cup or a can to make circles. Number the circles to show clockfaces, and then draw hands on your clocks to show different times. Have a friend do the same. Read the times on each other's clocks.

13f) Ask your child to show you how to use a clockface to count by 5's. At different times of the day, when the minute hand is at a five-minute mark, ask your child to tell you the time.


Activity Involves Skills Covered in Lessons 86–91

14i) Refer to the bar graph below. How many more students would rather have strawberries than bananas on their cereal?

Check the box next to the correct answer.

a. 8 b. 7 c. 10 d. 6

14g) Take a survey with your friends. Ask family members and friends which flavor of ice cream they like best: vanilla, chocolate, or strawberry. Keep a tally of the answers. Then work together to make a bar graph of the results.

14f) Have your child make a bar graph. Cut different numbers of squares from three different colors of construction paper. Place the squares in a bag. Ask your child to paste the squares on a sheet of paper to make a bar graph. All the squares in the same row or column should be the same color. Ask your child questions about his or her graph, such as "How many yellow squares are there?" "How many more red squares than green squares are there?" and "Of what colors are there the most and fewest squares?"


Activity Involves Skills Covered in Lessons 92–97

15i) Laura had a box of 64 crayons. Then her father bought her a box of 96 crayons. How many crayons does Laura have now? Check the box next to the correct answer.

a. 150 b. 170 c. 160 d. 140

15g) Write four two-digit numbers less than 50. Have a friend write four two-digit numbers greater than 50. Working together, try to pair the numbers you wrote with the numbers your friend wrote so that each pair makes a sum greater than 100. If no pair of numbers makes a sum greater than 100, repeat the activity using greater numbers.

15f) Ask your child to play "Target 100" with you. Name a two-digit number. Have your child find the number that when added to your number will result in a sum of exactly 100.


Activity Involves Skills Covered in Lessons 98–103

16i) What two fact family subtraction facts can you write for 7 + 4? Check the box next to the correct answer.

a. 15 - 11 = 4; 15 - 4 = 11b. 16 - 9 = 7; 16 - 7 = 9
c. 13 - 6 = 7; 13 - 7 = 6 d. 11 - 7 = 4; 11 - 4 = 7

16g) Work with a friend. On separate index cards write 5 + 3, 6 + 3, 8 + 3, 8 + 6, 7 + 4, 8 + 4, 7 + 5, and 8 + 5. Mix up the cards and put them facedown in a pile. Turn over a card. Write one fact family subtraction fact for the addition. Have your friend write the other fact family subtraction fact. Then turn over another card. This time have your friend go first. Keep turning over cards and writing facts until all the cards have been turned over.

16f) Place fourteen pennies on a table. Ask your child to count them and then to cover his or her eyes. Take away six or eight pennies. Ask your child to uncover his or her eyes and tell you how many you took away. Continue the activity using these subtraction facts: 8 - 5 and 8 - 3; 9 - 6 and 9 - 3; 11 - 3, 11 - 8, 11 - 7, and 11 - 4; 12 - 8, 12 - 4, 12 - 7, and 12 - 5; 13 - 8 and 13 - 5.


Activity Involves Skills Covered in Lessons 104–110

17i) On paper, draw a line segment that is 7 1/2 inches long. About how many centimeters long is the line segment? Check the box next to the correct answer.

a. 17 cm b. 19 cmc. 15 cm d. 18 cm

17g) Use a centimeter ruler to draw several line segments. Have some friends do the same. Exchange papers. Measure one another's line segments in centimeters. Label each line segment with the correct measurement.

17f) Ask your child to draw one line segment that is 10 centimeters long and another that is 20 centimeters long. Have your child look around the house for objects that are about 10 and 20 centimeters long, and have him or her list the objects.


Activity Involves Skills Covered in Lessons 111–117

18i) Danny emptied his piggy bank. There were 3 quarters, 2 dimes, 7 nickels, and 8 pennies in the piggy bank. How much money was in the piggy bank? Check the box next to the correct answer.

a. $1.38 b. $1.37 c. $1.28 d. $1.18

18g) Work with a group of friends. Place real or pretend quarters, dimes, nickels, and pennies in a bowl. Take a handful of coins, count how much money is in your hand, and return the coins to the bowl. Have your friends take turns doing the same.

18f) Several times a week, have your child count the coins in your change purse and tell you the total amount.


Activity Involves Skills Covered in Lessons 118–124

19i) How many right angles are in the shape below?

Check the box next to the correct answer.

a. 10 b. 6 c. 5 d. 8

19g) An unfolded sheet of paper contains four right angles (one at each corner). Working with a friend, fold a sheet of paper in half. Unfold it and use a pencil to trace along the fold line. Count the right angles. Predict how many right angles you would find if you folded the paper into fourths. Fold the paper into fourths, unfold it, trace along the new fold line, and count the right angles to see whether your prediction was correct. Do the same with eighths.

19f) Ask your child to draw a right angle and explain what a right angle is. Then, as you go through your home or walk along the street with your child, help him or her look for right angles.


Activity Involves Skills Covered in Lessons 125–132

20i) If Sara used digits to write the date on which her brother was born, she would use only 8's. What is the full date of her brother's birthday? Check the box next to the correct answer.

a. July 8, 1988 b. July 18, 1988
c. August 8, 1998 d. August 8, 1988

20g) Work with a group of friends. Tell the group your birthday, and have each friend tell the group his or her birthday. Then write each birthday using digits, and have your friends do the same.

20f) Talk with your child about important dates in his or her life. Help your child identify several dates. Have him or her write the full dates and then write the dates using digits.