1. Tell whether each of these word problems is a multiplication problem, a partitive division problem or a measurement division problem.
a. Three children can ride in each car. How many cars will we need to take 18 children to the zoo?
b. Each box of crayons has 8 crayons in it. How many crayons are in 3 boxes?
c. Each person left 2 shoes at the door. There are 12 shoes at the door. How many people left shoes?
d. There are 4 colors of cups in the cupboard. There are the same number of each color of cup. There are 20 cups in all. How many cups are there of each color?
e. Erin has 36 Pokemon cards. She can fit 9 cards on each page of her card collecting book. How many pages will she need to hold all of her Pokemon cards?
f. Julia's mom made 24 cookies. She wants to put them on 3 plates, so each plate will have the same number of cookies. How many cookies should she put on each plate?
g. Kyle has 3 bags of marbles. There are 12 marbles in each bag. How many marbles does he have?
h. There are 40 books to put on shelves. Eight books will fit on each shelf. How many shelves do I need to hold the books?
i. I am making 12 cupcakes. I want to put 4 M&M's on each cupcake. How many M&M's do I need.
2. Direct modeling. Tell what kind of problem (multiplication, measurement division or partitive division) fits with the direct modeling strategy.
a. Place 3 counters to represent groups. Count out 18 counters. Put counters 1 at a time next to the counters representing the groups. Count the amount in a group for the answer.
b. Place 5 counters to represent groups. Put 3 counters next to each of the group counters. Count the total amount in all of the groups (not including the 5 that represent the groups) to find the answer.
c. Count out 24 counters. Using the 24 counters, make groups of 4 counters. Count the number of groups for the answer.
d. Count out 30 counters. Put 2 counters into each of 5 groups. Add 2 counters to each group. Add 1 counter to each group. Add another counter to each group. Count the amount in a group to find the answer.
e. Make 5 groups of 4 counters. Count the total number of counters, and add another group of 4 counters. Count the total number of groups for the answer.
3. Rewrite each of these problems so that they stay as close as you can to being the same problem, but there is an action to be acted out that you have introduced (turn each from a harder to an easier problem--without changing the numbers or the type of items):
a. There are 4 pencil holders in the room, and each pencil holder has the same number of pencils. There are 20 pencils total. How many pencils are in each pencil holder?
b. Ms. Cupcake used 6 apples to make each pie. In all, she used 18 apples. How many pies did she make?
c. Janet's collection of 24 rocks is in some small boxes. Each box has 6 rocks in it. How many boxes of rocks does she have?
d. Kyle has 5 boxes of toy animals. There are the same number of animals in each box. In all, he has 30 toy animals. How many animals are in each box?