© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1 Note: These first 4 lessons are the same as in 6th grade. They are to be used as a review. Number Lines Contexts © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Number Lines Here are three vertical number lines that each represent a different situation: temperature, profit/loss (in money) and sea level. 1. Place zero at the center of each number line. Make sure it is the same for each number line. 2. Place each of the following statements as a point on the appropriate number line. Students should draw their own number lines or this page can be printed for them. a. $5 e. –11 feet b. 7 feet below sea level f. No Money c. Owe $8 g. 4⁰ below zero d. 9 degrees h. The ocean’s surface Temperature (C°) Profit/Loss Sea Level © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Number Lines Here are three vertical number lines that each represent a different situation: temperature, profit/loss (in money) and sea level. 1. Place zero at the center of each number line. Make sure it is the same for each number line. 2. Place each of the following statements as a point on the appropriate number line. Students should draw their own number lines or this page can be printed for them. a. $5 e. –11 feet b. 7 feet below sea level f. No Money c. Owe $8 g. 4⁰ below zero d. 9 degrees h. The ocean’s surface Temperature (C°) Profit/Loss Sea Level © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Number Lines 3. Write one new statement for each situation (temperature, profit or loss, and sea level) and label it on each number line. a. b. c. Temperature (C°) Profit/Loss Sea Level © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Number Lines 3. Write one new statement for each situation (temperature, profit or loss, and sea level) and label it on each number line. a. b. c. Temperature (C°) Profit/Loss Sea Level © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Number Lines Profit/Loss Sea Level 10 $500 10,000 –10 –$500 –10,000 Temperature (C°) a b c Write a statement for each of the points on the number lines. (Use worksheet 1.1) 4. Temperature 5. Profit and Loss 6. Sea Level © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Number Lines 10 $500 10,000 7. What does 0 mean for each of the following situations: Temperature, Profit/Loss, and Sea Level? –10 –$500 –10,000 Temperature (C°) Profit/Loss Sea Level © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Number Lines 10 $500 10,000 Zero is a starting point. You must define what it means and then you can describe the positive numbers (above or to the right of zero) and negative numbers (below or to the left of zero). For Celsius, 0° is where water freezes. Above zero, water gets warmer and below zero it gets colder. For money, 0 means you have none. A positive number means you have money and a negative number means you owe money. And the ocean’s surface is the starting point or zero for calculating the height of geographical features. Land and mountains are positive numbers and valleys in the ocean are negative numbers. –10 –$500 –10,000 Temperature (C°) Profit/Loss Sea Level © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Number Lines Here is an example of zero as a starting point. Stand up where you are. That is your zero point. Follow the directions and use the number line to mark each point you stop. 8. Move 7 steps to the right and stop. Now move 12 steps to the left and stop. What are the two places (points) on the number line you stopped? 9. Start at 0. Move 15 steps to the left. Now move 10 steps to the right. Now move 10 more steps to the right. What are all these points on the number line? 10. Every time you stop, what is your location compared to 0? Use this idea to define a point on the number line. Have one student demonstrate this in front of the room. Students should draw their own version of the number line presented. –5 5 –10 10 –15 –20 15 20 © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Number Lines Each number has a specific location on the number line. And, it represents a specific distance from 0. 11. If 0 represents sea level on the number line below, describe what the following points mean in feet. a. b. c. Have students take notes. a b c –5 5 –10 10 –15 –20 15 20 © DMTI (2017) | Resource Materials | www.dmtinstitute.com

© DMTI (2017) | Resource Materials | www.dmtinstitute.com Lesson 4a.1: Review 12. Place the following numbers on the number line: –21, 14, –7, 0, 7. 13. Describe the pattern in the problem above. What would be the next two numbers? 14. If the numbers represent sea level, write a statement for each number. Have students take notes. –5 5 –10 10 –15 –20 15 20 © DMTI (2017) | Resource Materials | www.dmtinstitute.com