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Understanding and Comparing Integers: Course 1 Lesson Overview

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sawyer-spencer
16 diapositives · 377 Views · Oct 25, 2014

This lesson focuses on comparing and ordering integers, providing students with the skills to analyze numbers on a number line. Through engaging activities, students will learn how to express relationships between integers using symbols such as , and =. Real-world applications are included, such as determining the winner of a golf match based on scores. Various examples and practice problems foster the development of essential number sense and problem-solving skills. Participants will also explore how negative integers relate to positive ones.

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  1. 9-2 Comparing and Ordering Integers Course 1 Warm Up Problem of the Day Lesson Presentation

  2. 9-2 Comparing and Ordering Integers Course 1 Warm Up Compare. Write <, >, or =. 1.8,426 8,246 2. 9,625 6,852 3. 2,071 2,171 4. 2,250 2,250 > > < =

  3. 9-2 Comparing and Ordering Integers Course 1 Problem of the Day Four friends are waiting in line at the amusement park. Jenna is in front of Kyle. Kyle is behind Gary and in front of Maggie. Gary is first. In what order are they waiting? Gary, Jenna, Kyle, Maggie

  4. 9-2 Comparing and Ordering Integers Course 1 Learn to compare and order integers.

  5. 9-2 Comparing and Ordering Integers Remember! Numbers on a number line increase in value as you move from left to right. Course 1

  6. 9-2 Comparing and Ordering Integers –5 –4 –3 –2 –1 0 1 2 3 4 5 Course 1 Additional Example 1: Comparing IntegersUse the number line to compare each pair of integers. Write < or >. A. –2 2 B. 3 –5 C. –1 –4 –2 < 2 –2 is to the left of 2 on the number line. 3 > –5 3 is to the right of –5 on the number line. –1 > –4 –1 is to the right of –4 on the number line.

  7. 9-2 Comparing and Ordering Integers –5 –4 –3 –2 –1 0 1 2 3 4 5 Course 1 Try This: Example 1 Use the number line to compare each pair of integers. Write < or >. A. –2 1 B. 2 –3 C. –3 –4 –2 < 1 –2 is to the left of 1 on the number line. 2 > –3 2 is to the right of –3 on the number line. –3 > –4 –3 is to the right of –4 on the number line.

  8. 9-2 Comparing and Ordering Integers –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –3 –2 –1 0 1 2 3 Course 1 Additional Example 2: Ordering Integers Order the integers in each set from least to greatest. A. –2, 3, –1 B. 4, –3, –5, 2 Graph the integers on the same number line. Then read the numbers from left to right: –2, –1, 3. Graph the integers on the same number line. Then read the numbers from left to right: –5, –3, 2, 4.

  9. 9-2 Comparing and Ordering Integers –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –3 –2 –1 0 1 2 3 Course 1 Try This: Example 2 Order the integers in each set from least to greatest. A. –2, 2, –3 B. 6, –2, 5, –3 Graph the integers on the same number line. Then read the numbers from left to right: –3, –2, 2. Graph the integers on the same number line. Then read the numbers from left to right: –3, –2, 5, 6.

  10. 9-2 Comparing and Ordering Integers 1 Understand the Problem Course 1 Additional Example 3: Problem Solving Application In a golf match, Craig scored +2, Cameron scored +3, and Rob scored –1. Who won the golf match? • The answer will be the player with the lowest score. List the important information: • Craig scored +2. • Cameron scored +3. • Rob scored –1.

  11. 9-2 Comparing and Ordering Integers 3 Solve Make a Plan –3 –2 –1 0 1 2 3 2 Course 1 Additional Example 3 Continued You can draw a diagram to order the scores from least to greatest. Draw a number line and graph each player’s score on it. • • • Rob’s score, –1, is farthest to the left, so it is the lowest score. Rob won the golf match.

  12. 9-2 Comparing and Ordering Integers 4 Course 1 Additional Example 3 Continued Look Back Negative integers are always less than positive integers, so neither Craig nor Cameron won the golf match.

  13. 9-2 Comparing and Ordering Integers 1 Understand the Problem Course 1 Try This: Example 3 In a golf match, Melissa scored +6, Trista scored –3, and Alyssa scored –1. Who won the golf match? • The answer will be the player with the lowest score. List the important information: • Melissa scored +6. • Trista scored –3. • Alyssa scored –1.

  14. 9-2 Comparing and Ordering Integers 3 Solve Make a Plan –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 2 Course 1 Try This: Example 3 Continued You can draw a diagram to order the scores from least to greatest. Draw a number line and graph each player’s score on it. • • • Trista’s score, –3, is farthest to the left, so it is the lowest score. Trista won the golf match.

  15. 9-2 Comparing and Ordering Integers 4 Course 1 Try This: Example 3 Continued Look Back Negative integers are always less positive integers, so Melissa cannot be the winner. Since Trista’s score of -3 is less than Alyssa’s score of -1, Trista won.

  16. 9-2 Comparing and Ordering Integers Course 1 Insert Lesson Title Here Lesson Quiz Order the integers in each set from least to greatest. 1. –3, 7, 4 2. –11, 2, 5, –15 Compare. Write <, >, or =. 3. –3 4 4. –12 –10 5. A location in Carlsbad Caverns is 752 ft below sea level, and another location is 910 ft below sea level. Which location is closer to sea level? –3, 4, 7 –15, –11, 2, 5 < < the location at –752 feet