1. Splash Screen

2. Lesson Menu Five-Minute Check (over Lesson 9–6) Main Idea and Vocabulary Example 1:Find Common Multiples Example 2:Find and Use the LCM

3. Main Idea/Vocabulary I will identify common multiples of a set of whole numbers. multiple common multiple least common multiple (LCM)

4. Example 1 Find Common Multiples List multiples to find the first two common multiples of 6 and 10. Answer: The first two common multiples of 6 and 10 are 30 and 60. multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, … 6 × 1, 6 × 2, 6 × 3, 6 × 4, 6 × 5, 6 × 6, 6 × 7, 6 × 8, 6 × 9, 6 × 10 … 10 × 1, 10 × 2, 10 × 3, 10 × 4, 10 × 5, 10 × 6, 10 × 7, 10 × 8, 10 × 9, 10 × 10, … multiples of 6:6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

5. 1.A 2.B 3.C 4.D Example 1 Which are the first two common multiples of 6 and 8? A.12, 16 B.12, 24 C.24, 56 D.24, 48

6. Example 2 Find and Use the LCM Aaron has film studies every 4 days and math class every 5 days. If he had both classes today, in how many days will Aaron have both classes again? To solve, find the LCM of 4 and 5. multiples of 4: 4, 8, 12, 16, 20, … multiples of 5: 5, 10, 15, 20, 25, … 4 × 1, 4 × 2, 4 × 3, 4 × 4, 4 × 5, … 5 × 1, 5 × 2, 5 × 3, 5 × 4, 5 × 5, …

7. Example 2 Find and Use the LCM Notice that 20 is the least common multiple of 4 and 5. Answer: So, Aaron will have both classes again in 20 days.

8. Example 2 Find and Use the LCM Draw a number line to check your answer. Use F for film studies and M for math class. You can see the first days that Aaron has both classes again, after today, is day 20. So, the answer is correct.

9. 1.A 2.B 3.C 4.D Example 2 Selma has piano practice every 3 days and baby-sits every 4 days. If she had to do both of those things today, in how many days will she have to do both again? A.7 days B.12 days C.16 days D.24 days

10. End of the Lesson End Lesson

11. Resources Five-Minute Check (over Lesson 9–6) Image Bank Math Tool Chest Compare Fractions

12. 1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 9–6) Solve. Use the look for a pattern strategy. Azibo starts with $22 in a savings account. He makes the same deposit every week. After the first week, his account has $24.50. After the second, $27.00. After the third, $29.50, and after the fourth week, he has $32.00 in his account. How much does he have after 5 weeks? A.$33.00 B.$34.50 C.$35.00 D.$36.50

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