1. PRE-ALGEBRA

2. Lesson 1-8 Warm-Up

3. PRE-ALGEBRA Lesson 1-8 Warm-Up

4. PRE-ALGEBRA Reasoning Stategies: Look For a Pattern (1-8) How do you solve a problem involving a pattern? To find a pattern: 1. understand what the problem is asking, 2. make a plan to solve the problem, and 3. carry out your plan Example: News spreads quickly at Luiseno. Each student who hears a story repeats it 15 minutes later to two students who have not yet heard it and then tells no one else. If the first student hears the news at 8:00 a.m., how many students will know the news by 9:00 a.m. Step 1: Understand what the problem is asking 1 st person hears news at 8 a.m. Every 15 minutes a person who heard news tells 2 more people and no more How many people know story by 9 a.m. Step 2: Make a table or a tree diagram to organize the numbers and use it to find a pattern.

5. PRE-ALGEBRA Reasoning Stategies: Look For a Pattern (1-8) Step 3: Carry out your plan. Make a table. To find the next number in the pattern, add the new students to the number you had from before. As we can see, the pattern is to double the number every fifteen minutes. Make a tree diagram. By 9:00, 31 students will know the news.

6. PRE-ALGEBRA Each student on a committee of five students shakes hands with every other committee member. How many handshakes will there be in all? The pattern is to add the number of new handshakes to the number of handshakes already made. 4the number of handshakes by 1 student 4 + 3 = 7the number of handshakes by 2 students Reasoning Strategy: Look for a Pattern LESSON 1-8 Additional Examples

7. PRE-ALGEBRA (continued) There will be 10 handshakes in all. Make a table to extend the pattern to 5 students. Student Number of original handshakes Total number of handshakes 1 4 4 2 3 4 + 3 3 2 7 + 2 4 1 9 + 1 5 0 10 + 0 = 7= 9= 10 Reasoning Strategy: Look for a Pattern LESSON 1-8 Additional Examples

8. PRE-ALGEBRA Solve using any strategy. 1.You have a penny, a nickel, a dime, and a quarter. You give away three coins. How many different amounts of money can you give away? Name the values. 4; 16¢, 31¢, 36¢, 40¢ Lesson Quiz Reasoning Strategy: Look for a Pattern LESSON 1-8