Exploring Fraction Multiplication and Division Models

In this video, Mr. Peterson demonstrates how to model the multiplication and division of fractions. The tutorial begins with modeling multiplication using arrays, where denominators are used to draw grids and shade sections to find the product. The process is verified using an algorithm. The video then transitions to modeling division by creating common denominators and using models to determine how many times one fraction fits into another. This is also verified with an algorithm, ensuring the model's accuracy.

What is the first step in modeling multiplication of fractions?

• Shade the first fraction vertically

• Simplify the fraction

• Draw an array using the denominators

• Multiply the numerators

How do you label the array when modeling one-fourth times two-thirds?

• Label the horizontal line as four and vertical as three

• No labels are necessary

• Label both lines as four

• Label the horizontal line as three and vertical as four

What does the intersection of shaded areas represent in the multiplication model?

• The sum of the fractions

• The product of the fractions

• The difference of the fractions

• None of the above

What is the result of one-fourth times two-thirds using the model?

• 3/12

• 2/12

• 1/12

• 1/6

How do you verify the multiplication model using an algorithm?

• Add the numerators

• Multiply across and simplify

• Subtract the denominators

• Divide the numerators

What is the first step in modeling division of fractions?

• Divide the numerators

• Multiply the fractions

• Create common denominators

• Shade the fractions

How many one-half pieces fit into three-fourths in the division model?

• Two

• Three halves

• One and a half

• One

What does flipping the second fraction accomplish in division?

• It simplifies the fraction

• It converts the division into multiplication

• It increases the fraction size

• It reduces the fraction size

What is the result of three-fourths divided by one-half using the model?

• 1 1/2

• 1/2

• 3/4

• 2/3

How do you verify the division model using an algorithm?

• Add the denominators

• Subtract the numerators

• Multiply the flipped fraction

• Divide the denominators