Day 19 of 30
Multiply mixed numbers
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Learning Objective
Students will be able to multiply mixed numbers.
In this lesson, we'll explore how to multiply mixed numbers. Mathematical thinking develops logical reasoning and problem-solving abilities.
A mixed number has a whole number and a fraction (like 2 1/3). An improper fraction has a numerator larger than or equal to its denominator (like 7/3). To convert: Mixed to improper: multiply the whole number by the denominator, add the numerator (2 1/3 = 7/3). Improper to mixed: divide the numerator by the denominator; the quotient is the whole number, remainder is the new numerator (7/3 = 2 1/3). Both forms are useful in different situations!
As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.
Take notes on key points and make connections to what you've already learned in previous lessons.
A mathematical question requiring analysis and solution
The result obtained by solving a problem
Instructions
Materials Needed
- Notebook
- Calculator (if needed)
- Graph paper
Convert 2 1/4 to an improper fraction.
Convert 11/3 to a mixed number.
Which is larger: 5/2 or 2?
Teaching Tip
For this age group: Balance direct instruction with collaborative activities. Allow students to explain their thinking and make connections to prior knowledge when exploring multiply mixed numbers.