Math K Enrichment Problems

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Answers to problem sets

Activity Involves Skills Covered in Lessons 1–6

1i) Use the graph to answer the questions.

Which pattern block is there the most of? Check the box below that shape. Which pattern block is there the least of? Check the box below that shape.

a. b. c. d.

1g) Work with a group of friends to complete this exercise. Ms. Schroder's class made a graph to show the cookies they like. Do more children like chocolate chip or oatmeal? Check the box below the cookie that more children like.

a. b.

1f) Give your child a handful of game pieces in two different colors. The pieces should be the same shape. Ask your child to sort the game pieces into columns by color. Ask your child which color piece there is more of. Ask your child how many more pieces of one color there are than of the other.


Activity Involves Skills Covered in Lessons 7–11

2i) Use linking cubes to make the following pattern:

Add five more linking cubes to continue the pattern. Explain the pattern.

2g) Work with a friend. Take five linking cubes of one color. Have your friend take five cubes of a different color. Make a tower using three cubes of one color and two cubes of the other color. Ask your friend to continue the pattern.

2f) Ask your child to choose two different colored crayons and to draw a color pattern using one color and then the other. Have your child repeat the pattern at least three times. Then ask your child to describe the pattern. Use two new colors to draw your own color pattern. Ask your child to continue the new pattern.


Activity Involves Skills Covered in Lessons 12–17

3i) Use your pattern blocks to copy this design.

How many pattern blocks did you use? Use the same pattern blocks to make a different design.

3g) Work with a friend. Use pattern blocks to make a design. Have your friend do the same. Use one pattern block to cover each block in your friend’s design. How many blocks did you use? How many blocks did your friend use?

3f) On cardboard or construction paper, draw several of each of the following shapes in different sizes: triangle, square, circle, pentagon, and hexagon. Cut out the shapes. Ask your child to make a pattern block design using as many of the shapes as he or she chooses. Ask your child to count aloud how many pattern blocks he or she used.


Activity Involves Skills Covered in Lessons 18–22

4i) In this pattern, which piece should go in the blank? Check the box below the correct answer.

a. b. c. d.

4g) Work with a friend to find the group of shapes that has a large orange triangle and a small green square. Check the box below the correct answer.

a. b. c.

4f) Draw a small red circle, a large red circle, a small blue square, a large blue square, a small blue circle, a small blue rectangle, and a large blue rectangle. Cut out the shapes. Ask your child to line up the red pieces. Then ask him or her to tell how the pieces are the same and how they are different. Ask your child to do the same with pieces of the same shape and then with pieces of the same size (large or small).


Activity Involves Skills Covered in Lessons 23–27

5i) Put 5 teddy bear counters on your mat. Put 2 more teddy bear counters on your mat. How many teddy bear counters are on your mat? Check the box next to the correct answer.

a. 7 b. 6 c. 8

Tell a story about how the group of 5 teddy bears met the group of 2 teddy bears. Pretend that all of the teddy bears are going someplace. Tell how many teddy bears there are and where they are going.

5g) Work with a friend. Put 7 teddy bear counters on your mat. Have your friend take away some of the teddy bear counters. Make up a story about how many teddy bears went away and where they are going. Then tell how many teddy bears are left.

5f) Draw a picture of a boat. Gather together small objects such as pennies or buttons. Ask your child to pretend that the objects are children. Then have him or her use the objects to act out the following story problem: Three children were on a boat. Two more children got on the boat. How many children are on the boat now?


Activity Involves Skills Covered in Lessons 28–33

6i) The shapes are lining up in a row. In which row is the red circle third? Check the box below the correct answer.

a. b. c.

In which row is the red circle fourth? Check the box below the correct answer.

a. b. c.

6g) Work with a group of friends to complete this exercise. In the O'Brien family, Jim was born first. Catherine was third. Rose was second and Ed was last. List the names of the O'Brien children from oldest to youngest.

6f) Place four household objects in a line on the table. Ask your child to tell which object is first (farthest to his or her left). Ask your child to tell which object is third.


Activity Involves Skills Covered in Lessons 34–40

7i) Which drawing shows seven ice cream cones? Check the box below the correct answer.

 
a.     b.  

c.

Which drawing shows five flowers? Check the box below the correct answer.

a.    

b.

c.

 

7g) Work with a friend. Draw six kittens and three fish, and have your friend do the same. Compare your drawings. Did you both draw the same number of animals?

7f) Ask your child to help you set the dinner table. Ask your child how many plates you will need. Have your child help you count the proper number of plates, forks, knives, spoons, napkins, and glasses.


Activity Involves Skills Covered in Lessons 41–45

8i) Which clock shows 1:00? Check the box below the correct answer.

a. b.
c. d.

8g) Work with a friend to find which clock shows 5:00. Check the box below the correct answer. Tell how you decided it was the right clock.

a. b.
c. d.

Talk to your friend. Decide which of these activities you might do at 5:00 in the afternoon.

a.  have breakfast
b.  set the table for dinner
c.  go to school

8f) Choose an hour of the day when you will do something special with your child. Perhaps you will take a trip to the library, read a book, or take a trip to the park. Tell your child what time (on the hour) you will want to get ready to go. Have your child use the clock to tell you when to start getting ready.


Activity Involves Skills Covered in Lessons 46–51

9i) You have five pennies. Check the box below the price tag of something you can buy.

a.

b.

c.

d.

9g) Work with a friend. Get ten pennies. Give your friend five of your ten pennies. Check the box below the number that shows how many cents you each have.

a.

b.

c.

d.

9f) Give your child ten pennies and a cup. Tell him or her to put two cents in the cup. Then ask your child to count five more pennies and put them in a pile next to the cup. Have your child count the remaining three pennies and put them on the other side of the cup. Then ask your child to tell you how many cents are in each pile and in the cup.


Activity Involves Skills Covered in Lessons 52–56

10i) Which drawing continues the pattern? Check the box below the correct answer.

a.

b.

c.

d.

Is this an ABB pattern or an AB pattern? Why?

10g) Work with a friend. Use linking cubes to make an ABB pattern, and have your friend do the same. Exchange patterns and continue each other's pattern.

10f) Give your child two crayons of different colors. Ask your child to draw an AB pattern on a piece of paper, and have him or her tell you why it is an AB pattern. Then have your child draw and explain an ABB pattern.


Activity Involves Skills Covered in Lessons 57–62

11i) Amy wants a soda that costs 30’. How many dimes does she need? Check the box next to the correct answer.

a. 2 b. 30 c. 3

11g) Work with a friend. Get five dimes and give your friend two of those dimes. Put the rest of the dimes in front of you. Which of you has 20’? Which of you has 30’?

11f) Write each of the following amounts on a separate square of paper: 10’, 20’, 30’, 40’, and 50’. Mix up the squares and place them facedown on a table or another flat surface. Put five dimes in a plastic container or a small purse. Give the container or purse to your child. Have your child turn over a square, place the appropriate number of dimes on the square, and name the amount. Then have your child return the dimes to the container, turn over another square, and repeat the procedure.


Activity Involves Skills Covered in Lessons 63–68

12i) Check the box below the container that is half full.

a.

b.

c.

d.

12g) Work with a friend. Get an empty quart container and a one-cup measuring cup. Guess how many cups of water it will take to fill the quart container, and have your friend do the same. Compare your guess with your friend's. Using a funnel, fill the measuring cup with water and pour the water into the quart container. Repeat, until the quart container is full. How many cups did you need to fill the quart container? How many cups do you think you will need to fill half of the quart container? Check your guess.

12f) Fill an empty one-cup measuring cup with water. Place either a clear quart container or an empty quart-sized milk carton next to the measuring cup. Ask your child to guess how many cups it will take to fill the quart container with water. Then help your child check his or her guess.


Activity Involves Skills Covered in Lessons 69–74

13i) Some children voted on the zoo animal they liked best. Look at the pictograph. Then check the box below the animal that got the most votes.

      X
      X
X   X X
X X X X
X X X X
X X X X

a.

b.

c.

d.

13g) Work with a friend. Look at the pictograph. Decide which animal got the fewest votes. Draw a picture of it. Which animals got the same number of votes? Have your friend write that number and tell the names of the animals.

13f) On a flat surface, lay out four buttons, five spoons, four cups, and one plate. On a piece of paper draw a graph like the following, leaving a lot of space in each box for your child to draw.

button

spoon

plate

cup
       
       
       
       
       
       

Read the title of each column to your child. Then ask him or her to count the items on the table and draw a picture for each one in a box. For example, your child should draw a button in each of four boxes under the word button. Remove the graph from the place where you have laid out the items. Then ask your child to use the graph to tell which item there are the most of, which item there are the fewest of, and which items there are the same amount of.


Activity Involves Skills Covered in Lessons 75–80

14i) Use linking cubes to measure the length of your desk. Use different linking cubes to measure the length of a book in your classroom. Compare the linking cube trains. Which is longer, the book or your desk? Check the box next to the correct answer.

a. desk b. book

14g) Work with a friend. Use linking cubes to measure the length of the bottom of your foot. Then use linking cubes to measure the length of the bottom your friend's foot. Compare the linking cube trains. Whose foot is longer? Compare your foot with your friend's foot. Was your measurement with the linking cubes correct?

14f) Put your sneaker and your child's sneaker side by side. Connect paper clips to measure the length of your child's sneaker. Connect another group of paper clips to measure the length of your sneaker. Put the paper clip chains side by side. Put the sneakers out of sight. Ask your child which paper clip chain is the length of your sneaker.


Activity Involves Skills Covered in Lessons 81–86

15i) Which card shows five? Check the box below the correct answer.

a.

b.

c.

d.

15g) Work with a friend. Get a deck of cards. Take one card, and then give one card to your friend. Repeat, until there are no more cards to share. Put all of your cards that show the same number together in a pile, and have your friend do the same. Take all the piles of cards that show 1, 2, 3, 4, and 5, and have your friend take all the piles of cards that show 6, 7, 8, 9, and 10. For this game, pretend that jacks, queens, and kings show 10. How many cards do you have in each pile? How many does your friend have in each pile? Who has more cards? Why?

15f) Ask your child to explain how to play the card game war. If your child does not know how to play war, explain the game to him or her. Then play it together.


Activity Involves Skills Covered in Lessons 87–92

16i) Use the following tangram pieces to make a design: two squares, three triangles, and one parallelogram.

16g) Work with a friend. Use square, triangle, and parallelogram tangram pieces to make a design, and have your friend do the same. Compare your design with your friend's design. How many squares did your friend use? Did you use more squares, fewer squares, or the same number of squares? How many triangles did your friend use? Did you use more triangles, fewer triangles, or the same number of triangles?

16f) Help your child search for objects at home that are shaped like triangles, squares, and parallelograms. Have your child draw pictures of the objects he or she finds.


Activity Involves Skills Covered in Lessons 93–97

17i) Check the box below the picture that shows 35’ in dimes, nickels, and pennies.

a.

b.

c.

d.

 

17g) Work with a friend. Get a cup with ten pennies, a cup with five nickels, and a cup with five dimes. Have your friend do the same. Make 25’ two different ways, and have your friend do the same. Do not watch how your friend makes 25’, and do not let your friend watch how you make 25’. After you have both completed the activity, count how many different ways you and your friend made 25’ altogether.

17f) Make three piles of coins. Put ten pennies in one pile, ten nickels in another pile, and five dimes in another pile. Ask your child to use the coins to show different ways he or she can make 35’. Once your child has taken money out of a pile, he or she cannot use it again. Allow your child to try to find the most ways he or she can make 35’ from the available coins.


Activity Involves Skills Covered in Lessons 98–102

18i) Copy the following designs on your geoboard:

18g) Work with a friend. Have your friend make a design on his or her geoboard. Copy the design on your geoboard. Now make a design and have your friend copy it.

18f) Have your child copy the following designs on dot paper:

If you do not have dot paper, you can make dot paper using regular paper. Take a plain piece of 8 1/2" x 11" paper. Measure one inch in from the right margin and one inch down from the top margin. Draw a dot where the two measures intersect. Continue in this fashion until you have created an entire sheet of dots separated by one inch from top to bottom.


Activity Involves Skills Covered in Lessons 103–107

19i) Check the box below the picture that shows objects sorted by size.

a.  b.

19g) Work with a friend. Take a handful of playing cards. Decide on a sorting rule and sort the cards into two piles. Have your friend try to guess your sorting rule. Then have your friend make up a sorting rule and sort the cards so you can guess.

19f) Allow your child to help you sort odds and ends in a toolbox (screws and bolts, for instance) or in the kitchen (spoons and forks, for instance).


Activity Involves Skills Covered in Lessons 108–112

20i) Anthony had two cookies. His mother gave him two more cookies. Is this a "some, some went away" story or a "some, some more" story? Draw a picture to show what happened. Check the box next to the correct answer.

a. "some, some went away" story; picture should show two cookies
b. "some, some more" story; picture should show four cookies

20g) With a group of friends, make up a "some, some more" story. Act out your story.

20f) Help your child count the crayons in his or her crayon box. Ask your child how many crayons would be left if two were lost. Ask your child how many crayons there would be if two were added.