Open sentence

Lesson Note: Understanding Open Sentences with Factors (BASIC 3, Hybrid Curriculum)

Introduction (5 minutes)

Hello, class! Today, we're going to explore open sentences involving factors. An open sentence is a statement that contains a variable, and we need to find the value of the variable to make the sentence true. In this lesson, we'll learn how to find missing numbers and determine factors of a number.

Direct Instruction (10 minutes)

Let's start with an example: 3 × ? = 12. To find the missing number, we need to think about what number multiplied by 3 gives us 12. The answer is 4, because 3 × 4 = 12.

Now, let's talk about factors. A factor is a number that divides another number exactly without leaving a remainder. For example, the factors of 6 are 1, 2, 3, and 6, because each of these numbers can divide 6 exactly.

Here are a few more examples:

• 2 × ? = 8 (missing number: 4)
• 5 × ? = 15 (missing number: 3)
• Factors of 9: 1, 3, 9
• Factors of 12: 1, 2, 3, 4, 6, 12

Guided Practice (10 minutes)

Now it's your turn to try! Please work in pairs to complete the following exercises:

1. 4 × ? = 20 (find the missing number)
2. Factors of 8: _______
3. 6 × ? = 24 (find the missing number)

Independent Practice (Class Work, 15 minutes)

Complete the following exercises on your own:

1. 2 × ? = 16 (find the missing number)
2. Factors of 10: _______
3. 9 × ? = 36 (find the missing number)
4. Factors of 15: _______

Assignment (Homework, 10 minutes)

For tonight's homework, please complete the following exercises:

1. 7 × ? = 42 (find the missing number)
2. Factors of 12: _______
3. 3 × ? = 21 (find the missing number)

Assessment

Your class work and assignment will be reviewed to assess your understanding of open sentences involving factors.

Conclusion (5 minutes)

That's all for today's lesson! Remember, open sentences involving factors are statements that contain a variable, and we need to find the value of the variable to make the sentence true. Keep practicing, and you'll become experts in finding missing numbers and determining factors of a number!