Math

1. Discuss the connection between the counting numbers as a list and the counting numbers as they are used to describe how many objects are in sets. Include a discussion of what you will need to attend to if you are teaching young children who are learning to count.

2.For each of the following collections of small objects, write a brief description for how to organize the objects is a way that corresponds to the way we use the base-ten system to write the number for that many objects.

58 beads 243 toothpicks

3. Construct a Take From/Change Unknown that fits naturally with the equation

9 - ? = 5.

4. Identify the type and subtype of the following problem:

5. Trace has 10 blocks, 3 of which are cubes and the rest cylinders. How many blocks are cylinders?

Type:______________________ Subtype:___________________

6. Identify the parts of the following multiplication expression:

7 x 6 = 42

7:_______________

6. _______________

42:______________

7. Construct an Array word problem that can be solved by multiplying 4 x 6. Explain clearly why the problem can be solved by multiplying 4 x 6 by using the definition of multiplication.

8. Identify the type of multiplication word problem and then solve the problem.

A teacher gives her student a prize pencil for good behavior at the end of each week. The teacher has 4 different pencils and 5 different color erasers. How many different combinations can the teacher make with the pencils and erasers?

Type:______________________________

Answer:________

9. What is the best approach to show students how to solve a multiplicative comparison problem?

10. What is the best approach to show students how to solve a multiplicative comparison problem?

11. Rewrite the expression 18 x 20 using the associative property of multiplication to make it easier to calculate mentally.

12. There are 8 cars traveling together. Each car has 2 people in the front and 3 people in the back. Explain how to use this situation to illustrate the distributive property.

13. Identify each of the properties of multiplication.

(3 x 4) x 7 = 3 x (4 x 7) _______________

6x 7 = 7 x 6 ________________

14. For each of the following word problems, write the division expression used to solve it, state which interpretation of division is involved ( the “how many groups?” or the “how many in each group?”) and solve the problem.

If 252 rolls are to be put in packages of 12, then how many packages of rolls can be made?

If you have 506 stickers to give out equally to 23 children, then how many stickers will each child get?

15. Write an array problem that demonstrates 48 divided by 6.