Visually understanding multiplying fractions and whole numbers

The  exercise appears under the 5th Grade Math Mission. This exercise uses various visual models to help understand the idea of multiplication between fractions and whole numbers.

Types of Problems
There are four types of problems in this exercise:


 * 1) Write the pictured multiplication problem: This problem has a array model that pictures a multiplication problem. The student is expected to write the multiplication problem in the picture.Vumfawn1.png
 * 2) Find the value of the product with the model: This problem uses multiple copies of whole boxes to represent a multiplication problem. The student is asked to find the product and write it in the space provided.Vumfawn2.png
 * 3) Find the value of the pictured product: This problem uses an array model again, but this time the student is asked to evaluate the product and write the final answer in the space provided.Vumfawn3.png
 * 4) Move the dot on the number line: This problem provides a multiplication problem and a number line. The student is asked to move the orange dot to the answer of the associated multiplication problem.Vumfawn4.png

Strategies
Knowledge of fraction multiplications is sufficient to ensure accuracy and efficiency on this exercise.
 * 1) Use the * symbol to represent multiplication.
 * 2) Do not give the answer on Write the pictured multiplication problem, write it as a product.

Real-life Applications

 * 1) Fractions and their connection with ratios and proportions provide many diverse applications in many fields