L 16a 6.ns.7c intro to absolute value sml
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1) Absolute value is a number's distance from zero, which is always a positive value. Absolute value symbols indicate one is calculating distance from zero, regardless of the number's positive or negative value. 2) The document provides examples of using absolute values to determine the magnitudes of quantities. It explains that -5 has a greater magnitude than 4, even though 4 is a larger number, because the distance of -5 from zero is greater. 3) Absolute values are used to write equations representing the distances traveled by a student between classrooms, with the starting point as zero. This allows determining distances regardless of traveling left or right within the school.
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L 16a 6.ns.7c intro to absolute value sml
- 1. 21st Century Lessons Intro to Absolute Value 6.NS.7 (c) 1
- 2. Warm Up OBJECTIVE: SWBAT use absolute values to determine the magnitudes of quantities. 7 At left is a compass with the 4 primary directions. If someone travels 100 miles to the west, do we say they have traveled -100 miles? Explain why or why not. Agend a
- 3. Lesson Vocabulary and Language Objectives 9 Word Definition Example/Symbol Absolute Value a numbers distance from zero, distance is always measured in positive values Absolute Value Symbol bracket-like lines that inform one is calculating distance from zero Magnitude The size of distance in any given direction 0 3- 3 3 3 3 3 3 Agend a
- 4. 10 Launch 1 Intro to Absolute Value Agend a Joseph lives in the green house. Alexa Dan Dennis Nick 1) Explain how far away Josephs friends live. 2 1 1-1-2 -1 -2 2 2) Nick and Dennis are at -2. Explain how they are positive 2 away from Joseph. When we want to know distance from 0, we use Absolute Value. 2 2 2 2 2 2 2 2 Absolute values are always positive.
- 5. 11 Explore 1 Magnitude of Quantities -5 -4 -3 -2 -1 0 1 2 3 4 5 3) Create an inequality statement (>, <) that relates the values represented by the green and red dots. 4) What are the absolute values of the quantities represented by the red and green dots? 5) Create an inequality statement that relates the absolute values of the dots. Even though 4 is much larger than -5, -5 has a greater magnitude than 4. Absolute value proves this. Magnitude is the size of the distance in any given direction. 5 4 4 4 and 5 5 4 5 6) Which number, 4 or -5, do you think has the greater magnitude? Explain. Agend a
- 6. 12 Explore 2 Hallway at Jessies School Library Health Spanish Physics Caf辿 Gym Math ELA Biology The Caf辿 is in the middle of the schools hallway. Jessie just ate lunch in the Caf辿. After lunch, she attended class 2 rooms to the right of the caf辿 (Math). She then went 5 rooms to the left of Math. After this class she traveled 3 rooms to the right. 7) In what room does Jessie finish her day? 8) After leaving the caf辿, how many total rooms did Jessie either pass by or enter? *Hint - if she passes or enters a room more than once, it should be counted again. 9) Assuming the Caf辿 is the number 0, write an equation that represents the answer to #7? 10) Assuming the Caf辿 is the number 0, write an equation that represents the answer to #7? *Hint you will need to use absolute value symbols. Agend a
- 7. 13 Explore 2 Hallway at Jessies School Library Health Spanish Physics Cafe Gym Mat h ELA Biology 7) Jessie finishes in the caf辿. 8) Jessie passes or enters 10 rooms. 9) 0 + 2 5 + 3 = 0 (Distance from starting point) 10) (Absolute distance traveled)0 2 5 3 10 2 3 -5 Agend a
- 8. Summary 14 7 and 7 Explain the similarities and differences of the numbers above. You must use the terms absolute value and magnitude in your summary. *Challenge - Explain whether you want a high or low magnitude of debt. Agend a
- 9. Assessment 15 Name:__________ Key to Leave Solve the following. 1) 4 2) 10 3) 3 6 2 A diver is 15 feet below the surface of the water. 4) What number would represent his position on a number line? 5) What number would represent the distance/magnitude of his dive? Agend a