# Grouping Objects

This is out last page before we start working on numbers, counting, and the rest of math. We just covered the way you observe and**identify objects**. The concept of

**grouping objects**is part two to the ideas of observation. For example, if a question asks you about the blue balls in a bucket, you will need to mentally separate those balls from the group and start looking at their traits.

# Grouping and Addition

When you study addition,**addition**is about putting groups together. Those groups may be made of one object or millions. In addition, the final group is larger than the two smaller groups.

**Example:**

A group of five pencils is combines with a group of four pencils.

5 + 4 = 9 (The final group has nine pencils.)

# Grouping and Subtraction

**Subtraction**is the opposite of addition. You are taking one group away from another group when you subtract. The final group will be smaller that the first group.

**Example:**

Start with a group of eight candies. Take away a group of three candies.

8 - 3 = 5 (You finish with a smaller group of five candies.)

# Grouping and Multiplication

When you get to the**multiplication**section, it will feel like addition. Instead of combining two groups, you are combining many groups. It's like asking yourself, "What happens if I have three groups of four objects?" You could add them, but that takes too long. You need to multiply to find out how large the final group is.

**Example:**

How many objects are in six groups of three?

Addition: 3 + 3 + 3 + 3 + 3 + 3 = 18

Multiplication: 6 x 3 = 18 (You finish with eighteen objects in the final group.)

# Grouping and Division

Division is not the opposite of multiplication, but it is like a backwards version of multiplication. In**division**, you start with a big group and then your goal is to break it into equal parts. Looking at the previous example, a group of 18 can be broken into six groups of three. Ask yourself, "How many groups of this size can if get from this larger group?"

**Example:**

If I break this big group of twenty-four into three smaller groups, how many will be in each group?

24 ÷ 3 = 8 (You will have eight objects in each smaller group).

## Related Activities

Counting with Dots Memory Challenge
- Play Activity |
Number Flags Memory Challenge
- Play Activity |

# Useful Reference Materials

**Wikipedia:**

*https://en.wikipedia.org/wiki/Pre-algebra*

**Encyclopædia Britannica:**

*http://www.britannica.com/topic/mathematics*

**College of the Redwoods:**

*http://mathrev.redwoods.edu/PreAlgText/*