# Activities to Teach Students to Multiply Two Fractions Using Models: Fill in the Missing Factor

Multiplication is a fundamental mathematical operation that students need to learn as they progress through their education. Among the different types of multiplication that students must master, multiplying two fractions is particularly challenging. It requires an understanding of fractions and how to multiply them, as well as the ability to visualize the process using models. To help students learn how to multiply two fractions using models, teachers can incorporate a range of activities that involve filling in the missing factor.

Activity 1: Fraction Bars

Fraction bars offer an excellent visual representation of fractions, making them an effective tool for teaching students to multiply two fractions using models. For this activity, teachers can photocopy fraction bars at different scales, distribute them to each student, and ask them to fill in the missing factors in the equations provided. For example, if the equation is 1/4 x ___ = 3/8, the student needs to fill in the blank with the correct fraction to make the equation true.

Activity 2: Real-World Scenarios

When teaching students how to multiply two fractions, teachers can use real-world scenarios to make the concept more concrete. For instance, teachers can present a problem where a recipe requires 2/3 cup of flour, and the student needs to scale the recipe to make ten servings, using 3/4 cups of flour per serving. The student needs to multiply 2/3 x ___ = 3/4 and find the missing factor to get the solution.

Activity 3: Fraction Circles

Fraction circles provide another model that students can use to visualize the multiplication of two fractions. Teachers can provide blank fraction circles to students, with different fractions written in segments. The students can then fill in the missing factors in multiplication problems provided by the teacher, such as 2/5 x ___ = 4/15.

Activity 4: Interactive Games

Games can make learning fun and engaging for students. Teachers can incorporate interactive games that require students to solve multiplication problems by filling in the missing factors. Some games may also offer instant feedback to help students learn from their mistakes and improve their problem-solving skills.

In conclusion, activities that involve filling in the missing factor can help students learn to multiply two fractions using models. By using fraction bars, real-world scenarios, fraction circles, and interactive games, teachers can provide an engaging and effective learning experience that helps students develop the conceptual understanding and problem-solving skills needed to master this essential mathematical operation.