Multiplication is one of the most important concepts in mathematics. It is used for a variety of applications in everyday life as well as in advanced mathematics. However, the multiplication of mixed numbers by whole numbers can be one of the most difficult concepts to understand for some students. Therefore, teachers must use effective teaching strategies and activities to explain these concepts to their students.
One effective way to teach students to multiply mixed numbers by whole numbers is by using models. This method utilizes props, such as dice or number lines, to visually represent the multiplication concept. Here are some activities that can be used to teach this concept using models:
Dice Activity:
This activity involves the use of dice to represent mixed numbers and whole numbers. Each student will need a pair of dice, and they will roll the dice to determine the values of the mixed numbers and whole numbers.
For example, if a student rolls a 3 and a 4, they will represent the mixed number 3 and 4/6, or 3 2/3. If they roll a 5, they will represent the whole number. The student will then use a model to multiply the mixed number by the whole number.
Number Line Activity:
For this activity, teachers will provide each student with a number line that is divided into sections to represent mixed numbers. Students will then plot the mixed number using the number line. The teacher will provide a whole number that needs to be multiplied by the mixed number. Students will use the number line to move along the mixed number and count jumps along the way, representing the multiplication of the mixed number by the whole number.
Fraction Manipulatives Activity:
This activity involves the use of fraction manipulatives, such as fraction bars and circles, to represent mixed numbers and whole numbers. Students will use the fraction manipulatives to demonstrate the addition of mixed numbers and whole numbers. This will help students visualize the multiplication of mixed numbers by whole numbers.
These activities are effective ways to teach students the multiplication of mixed numbers by whole numbers using models. Visual representation is essential for students to understand the concept and master the skill. Teachers must continue to use different strategies and methods that cater to the needs of individual students to ensure they understand and perform well in mathematics.
