Subject: Mathematics

Topic: Multiplying Fractions by Fractions

Duration: 1 Hour

• Understand the concept of multiplying a fraction by another fraction.

• Multiply two fractions using models and standard algorithms.

• Solve word problems involving multiplication of fractions.

• Begin with a quick review of what fractions are and how to multiply a fraction by a whole number.

• Ask students: “What do you think happens when you multiply two fractions?”

• Show a simple example:
  "What is ½ of ⅓?"

  • Use fraction grids or draw visuals to demonstrate that the answer is 1/6.

2. Guided Practice (15 minutes)

• Teach the rule: Multiply the numerators together and the denominators together.
  Example:
  23×34=612=1232​×43​=126​=21​

• Use visual aids to model a few problems (e.g., shaded rectangles divided into parts).

• Work through several examples with the class:

  • 12×3521​×53​

  • 23×4732​×74​

3. Activity (15 minutes)

"Fraction Tile Challenge" (Partner Activity):

• Each pair receives a set of fraction tiles or grids.

• They are given fraction multiplication problems and must:

  • Represent each problem with tiles.

  • Write the multiplication sentence.

  • Simplify the answer.

Example:

• Represent 25×3452​×43​ with tiles, then write and solve.

• Multiply:

  1. 23×3532​×53​

  2. 14×2341​×32​

  3. 56×1265​×21​

• Word Problem:
  4. Sarah ate 2332​ of a pizza. Her brother ate 1221​ of what she ate. How much of the pizza did her brother eat?

  
  

• 6 multiplication problems (fractions × fractions)

• 2 word problems involving recipes, e.g.,
  “A recipe calls for ¾ cup of sugar. If you make ⅔ of the recipe, how much sugar do you use?”

Students should draw at least 2 models to support their answers.