Adding Fractions with Rectangle Models

The video tutorial explains how to add fractions using rectangle models. It begins with an introduction to the concept of fractions and how to represent them visually using rectangles. The tutorial then demonstrates how to find a common denominator by overlaying lines on the rectangles, allowing for easy addition of fractions. A practice problem is provided for viewers to apply what they've learned, followed by a step-by-step solution.

What does the denominator in a fraction represent?

• The color of the shaded parts

• The size of each part

• The total number of parts

• The number of shaded parts

How many pieces is the rectangle split into for the fraction 1/3?

• 2

• 5

• 3

• 4

Why is it important that the rectangles are the same size when adding fractions?

• To use less ink

• To ensure the whole is the same for both fractions

• To make the fractions look nicer

• To make it easier to draw

What is the new name for the fraction 1/3 when it is renamed with a common denominator of 15?

• 1/15

• 3/15

• 9/15

• 5/15

What is the new name for the fraction 3/5 when it is renamed with a common denominator of 15?

• 12/15

• 3/15

• 6/15

• 9/15

What is the sum of the fractions 1/3 and 3/5 when added using rectangle models?

• 12/15

• 13/15

• 14/15

• 15/15

What is the first step in solving the practice problem of adding 1/4 and 2/3?

• Shading all parts of the rectangles

• Combining the fractions directly

• Drawing the fractions with the same denominators

• Drawing the fractions with different denominators

What is the common denominator used when adding 1/4 and 2/3?

• 6

• 8

• 12

• 10

How many parts are shaded for the fraction 1/4 when renamed with a common denominator of 12?

• 3

• 4

• 6

• 2

What is the final sum of the fractions 1/4 and 2/3 when added using rectangle models?

• 10/12

• 11/12

• 12/12

• 9/12