## Grouping and Grazing

Help the alien spaceship move cows into corrals by counting, adding, and subtracting. This activity helps children learn grouping, tally marks, and place value. As they master counting, they can move on to adding and subtracting two-digit numbers.

A video tutorial is also available to demonstrate the use of this applet.

**General Tools**

**Menu** brings you back to the home screen from any activity.

**Move** allows you to move cows in the workspace.

**Group** corrals cows into groups of 5 or 10, depending on
the activity. Select the tool, select the appropriate number of cows,
and then select the tool again to use.

**Ungroup** removes cows from a corral.

**Check** allows you to input the correct final number of cows. **C** clears the window, and the checkmark submits the answer.

For every correct answer, you will receive a barn at the bottom of the screen.

**Count by 5s**

Count cows by corralling them into groups of 5. To do this, click on the cows until 5 are purple and upside down. Then, click **Group**. Repeat this step until you can no longer group 5 cows together. Loose cows should
be moved into the upper area separately using the **Move **tool.

**Tally** counts cows as you group using tally marks. It may
be hidden at any time using the green arrow at the bottom of the Tally
window.

**New** displays a new problem at any point.

**Check**

Count with Mecounts cows by selecting first all groups of corralled cows and then all loose cows. The count will also be displayed in the Tally window, if shown.

Count Alonelets users input the number of cows into a calculator. The count will also be displayed in the Tally window, if shown.

**Count by 10s**

Count cows by corralling them into groups of 10. To do this, click on the cows until 10 are purple and upside down. Then, click **Group**. Repeat this step until you can no longer group 10 cows together. Loose cows
should be moved into the upper area separately using the **Move** tool.

**New** displays a new problem at any point.

**Check**

Count with Mecounts cows by selecting first all groups of corralled cows and then all loose cows. The count shows tens and units separately to reinforce place value.

Count Alonelets users input the number of cows into a calculator.

**Add**

Begin by moving all cows from the top two areas down to the bottom sum area to combine them. Then, group loose cows by 10s if there are enough loose cows. This is the same as carrying using the traditional addition method.

**Any Numbers** displays a new problem at any point using numbers selected by the computer.

**My Numbers** displays a new problem at any point using numbers you select. Value must be between 0 and 20.

**Subtract**

Begin by moving the subtracted number of cows into the lower left
area. You may need to ungroup cows to move the correct number. This is
the same as borrowing using the traditional subtraction method. Make
sure cows are corralled in both the upper and lower left areas if they
can be. When you click **Check** the remaining cows will be moved to the lower right area.

**Any Numbers** displays a new problem at any point using numbers selected by the computer.

**My Numbers** displays a new problem at any point using
numbers you select. The value in the first box must be between 0 and 40.
The value in the second box must be at least 0 but less than the value
in the first box.

**Count**

- Before starting a problem, can you estimate how many groups you will have? Now, try it. Was your estimate correct? After doing the activity many times, does your estimate get better?
- Is it faster to count the total number of cows before you group them or after you group them?
- When counting by 10s, how does the written number relate to the final grouping of cows?

**Add**

- After trying a few addition problems, can you tell when you will need to group or ungroup cows?
- How is grouping cows in the addition activity similar to how you normally solve addition problems on paper?

**Subtract**

- After trying a few subtraction problems, can you tell when you will need to group or ungroup cows? How is this similar or different from the addition problems?
- How is ungrouping cows in the subtract activity similar to how you normally solve subtraction problems on paper?