aidemia--modules-lessonplan_request	Titles of parts of the lesson must be formatted as headings
What to create	Lesson script
Which subject	Mathematics
What topic	Multiply fractions
What length (min)	30
What age group	Year or Grade 6
Include homework
Include images descriptions
Any other preferences

Lesson Script: Multiplying Fractions for Grade 6

Objective

By the end of this lesson, students will be able to multiply fractions and understand how to simplify the results.

Materials Needed

• Whiteboard and markers
• Fraction manipulatives (optional)
• Worksheets for practice
• Homework assignments

Lesson Duration

30 minutes

Introduction (5 minutes)

Begin the lesson by introducing the concept of fractions. Ask students to recall what a fraction is and give examples (e.g., 1/2, 3/4).

Key Points:

• A fraction consists of a numerator (top number) and a denominator (bottom number).
• Fractions represent parts of a whole.

Direct Instruction (10 minutes)

Step 1: Explain Multiplying Fractions

• When multiplying fractions, you multiply the numerator with the numerator and the denominator with the denominator.

  Formula: [ \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} ]

Step 2: Example Problem

Provide an example for students to follow:

• Example 1: Multiply (\frac{2}{3} \times \frac{3}{4}).

  Solution:

  • Multiply the numerators: (2 \times 3 = 6)
  • Multiply the denominators: (3 \times 4 = 12)
  • Result: (\frac{6}{12})

Step 3: Simplify the Fraction

• Explain that (\frac{6}{12}) can be simplified.
• Divide numerator and denominator by their greatest common divisor (GCD), which is 6.

Solution: [ \frac{6 \div 6}{12 \div 6} = \frac{1}{2} ]

Step 4: Practice Problem

Let’s do another example together:

• Example 2: Multiply (\frac{1}{2} \times \frac{2}{5}).

  Solution:

  • (1 \times 2 = 2)
  • (2 \times 5 = 10)
  • Result: (\frac{2}{10})
  • Simplify to (\frac{1}{5}).

Guided Practice (10 minutes)

Divide the class into small groups and provide each group with practice problems. Walk around to assist where needed.

Practice Problems

1. (\frac{3}{5} \times \frac{4}{6})
2. (\frac{2}{3} \times \frac{1}{4})
3. (\frac{5}{8} \times \frac{2}{3})

Allow Groups to Solve

Ask groups to present their problems after solving. Verify and discuss the solutions as a class.

Independent Practice (5 minutes)

Give students individual practice problems to solve.

Homework Assignment

Task 1: Multiply the following fractions and simplify if necessary:

1. (\frac{4}{5} \times \frac{3}{7})
2. (\frac{7}{8} \times \frac{1}{2})
3. (\frac{2}{3} \times \frac{3}{4})

Task 2: Word problems involving multiplication of fractions:

1. A recipe calls for (\frac{2}{3}) cup of sugar. If you want to make (\frac{1}{4}) of the recipe, how much sugar do you need?
2. A garden plot is (\frac{3}{5}) filled with flowers and (\frac{2}{3}) of that is marigolds. What fraction of the garden plot is filled with marigolds?

Answer Key

Homework Solutions

1. (\frac{4}{5} \times \frac{3}{7} = \frac{12}{35})
2. (\frac{7}{8} \times \frac{1}{2} = \frac{7}{16})
3. (\frac{2}{3} \times \frac{3}{4} = \frac{1}{2})

Word Problem Solutions

1. Calculation: (\frac{2}{3} \times \frac{1}{4} = \frac{2}{12} = \frac{1}{6}) cup of sugar.
2. Calculation: (\frac{3}{5} \times \frac{2}{3} = \frac{6}{15} = \frac{2}{5}) of the garden plot is filled with marigolds.

Conclusion (2 minutes)

Wrap up the lesson by summarizing the steps to multiply fractions. Encourage students to practice these skills at home and remind them to simplify their answers.

Thank you for participating today!