Mastering Multiplying Fractions with Rectangles

The lesson explains how to multiply fractions using a unit rectangle model. It demonstrates two examples: 1/2 x 3/8 and 2/3 x 5/6. The process involves dividing a rectangle based on the denominators, shading parts according to the numerators, and identifying the overlapping shaded area as the product. The lesson emphasizes visualizing fraction multiplication and simplifying results.

What is the first step in using the unit rectangle model to multiply fractions?

• Divide the rectangle based on the denominator of the last fraction.

• Shade the entire rectangle.

• Divide the rectangle based on the numerator of the first fraction.

• Draw a circle instead of a rectangle.

How is the rectangle initially divided in the first example?

• Into two parts

• Into three parts

• Into eight parts

• Into sixteen parts

How many parts are shaded when dividing the rectangle into eight parts vertically?

• Three parts

• Four parts

• Two parts

• Eight parts

In the example of 2/3 times 5/6, into how many equal pieces is the rectangle initially divided?

• Five pieces

• Two pieces

• Six pieces

• Three pieces

What method is used to help visualize different parts in the second example?

• Using labels

• Using color

• Using different shapes

• Using numbers

How many total parts does the rectangle have in the second example before shading?

• 9 parts

• 10 parts

• 16 parts

• 18 parts

What fraction represents the overlap of shaded areas in the example of 2/3 times 5/6?

• 3/16

• 10/18

• 5/18

• 5/9

What does the shaded overlap represent in the context of multiplying fractions?

• The quotient of the fractions

• The sum of the fractions

• The difference of the fractions

• The product of the fractions

What is the simplified form of 10/18?

• 5/18

• 2/3

• 1/2

• 5/9

What is the final result of multiplying 2/3 by 5/6 in the second example?

• 2/3

• 3/16

• 5/9

• 10/18