Adding and Subtracting Integers with Tiles

This video tutorial covers the addition of integers using tiles. It begins with an introduction to representing integers with tiles, where positive tiles are open squares and negative tiles are shaded squares. The tutorial explains how to add integers with the same signs by simply combining the tiles and counting them. It then moves on to adding integers with different signs, using the zero principle to cancel out pairs of positive and negative tiles. The video includes several examples and practice problems, using both standard and color-coded tiles, to reinforce the concepts. The tutorial concludes with an assignment for further practice.

What is the representation of a positive integer using tiles?

• A closed shaded square

• An open square

• A triangle

• A circle

How do you represent a negative integer with tiles?

• An open square

• A closed shaded square

• A triangle

• A circle

What happens when you combine an open square and a shaded square?

• They form a positive integer

• They form a negative integer

• They form zero

• They form a triangle

When adding integers with the same sign, what is the first step?

• Multiply the integers

• Subtract the integers

• Draw the integers using tiles

• Cancel out the tiles

What is the sum of positive 2 and positive 1 using tiles?

• Positive 1

• Positive 4

• Positive 3

• Positive 2

How do you find the sum of negative 2 and negative 3 using tiles?

• Add the tiles and get negative 5

• Subtract the tiles and get negative 1

• Cancel the tiles and get zero

• Add the tiles and get positive 5

What is the result of adding negative 4 and positive 2 using tiles?

• Positive 2

• Negative 2

• Zero

• Positive 6

What is the zero principle in adding integers?

• Adding two positive integers

• Adding two negative integers

• Combining a positive and a negative tile to form zero

• Multiplying two integers

In the color-coded tile example, what color represents negative integers?

• Green

• Red

• Yellow

• Blue

What is the sum of negative 6 and positive 4 using color-coded tiles?

• Positive 10

• Zero

• Positive 2

• Negative 2