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Jodie Rasmussen

Integers - 1 views

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  • blem: The highest elevation in North America is Mt. McKinley, which is 20,320 feet above sea level. The lowest elevation is Death Valley, which is 282 feet below sea level. What is the distance from the top of Mt. McKinley to the bottom of Death Valley? Solution: The distance from the top of Mt. McKinley to sea level is 20,320 feet and the distance from sea level to the bottom of Death Valley is 282 feet. The total distance is the sum of 20,320 and 282, which is 20,602 feet.
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  • Integers Integers Unit 5 [1] > Lesson 1 of 11 Problem: The highest elevation in North America is Mt. McKinley, which is 20,320 feet above sea level. The lowest elevation is Death Valley, which is 282 feet below sea level. What is the distance from the top of Mt. McKinley to the bottom of Death Valley? Solution: The distance from the top of Mt. McKinley to sea level is 20,320 feet and the distance from sea level to the bottom of Death Valley is 282 feet. The total distance is the sum of 20,320 and 282, which is 20,602 feet. The problem above uses the notion of opposites: Above sea level is the opposite of below sea level. Here are some more examples of opposites: top, bottom increase, decrease forward, backward positive, negative We could solve the problem above using integers. Integers are the set of whole numbers and their opposites. The number line is used to represent integers. This is shown below. Definitions The number line goes on forever in both directions. This is indicated by the arrows. Whole numbers greater than zero are called positive integers. These numbers are to the right of zero on the number line. Whole numbers less than zero are called negative integers. These numbers are to the left of zero on the number line. The integer zero is neutral. It is neither positive nor negative. The sign of an integer is either positive (+) or negative (-), except zero, which has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. One will have a positive sign, the other a negative sign. In the number line above, +3 and -3 are labeled as opposites. Let's revisit the problem from the top of this page using integers to solve it. Problem: The highest elevation in North America is Mt. McKinley, which is 20,320 feet above sea level. The lowest elevation is Death Valley, which is 282 feet below sea level. What is the distance from the top of Mt. McKinley to the bottom of Death Valley? Solution: We can represent the elevation as an integers:   Elevation Integer 20,320 feet above sea level +20,320 sea level 0 282 feet below sea level -282   The distance from the top of Mt. McKinley to the bottom of Death Valley is the same as the distance from +20,320 to -282 on the number line. We add the distance from +20,320 to 0, and the distance from 0 to -282, for a total of 20,602 feet. Example 1: Write an integer to represent each situation:   10 degrees above zero +10 a loss of 16 dollars -16 a gain of 5 points +5 8 steps backward -8 Example 2: Name the opposite of each integer. -12 +12 +21 -21 -17 +17 +9 -9 Example 3: Name 4 real life situations in which integers can be used. Spending and earning money. Rising and falling temperatures. Stock market gains and losses. Gaining and losing yards in a football game. Note: A positive integer does not have to have a + sign in it. For example, +3 and 3 are interchangeable. Summary: Integers are the set of whole numbers and their opposites. Whole numbers greater than zero are called positive integers. Whole numbers less than zero are called negative integers. The integer zero is neither positive nor negative, and has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. Positive integers can be written with or without a sign. Exercises Directions: Read each question below. Click once in an ANSWER BOX and type in your answer; then click ENTER. Do not enter commas in your answers. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. Use the + key to write a positive integer, and the - key to write a negative integer. Omit words and labels from your answers. 1. Write an integer to represent the following situation: Earnings of 15 dollars ANSWER BOX: RESULTS BOX: 2. Write an integer to represent the following situation: A loss of 20 yards ANSWER BOX: RESULTS BOX: 3. What is the opposite of -231? ANSWER BOX: RESULTS BOX: 4. What is the opposite of +1096? ANSWER BOX: RESULTS BOX: 5. Solve the following problem using integers. Jenny has $2. She earns $5, spends $10, earns $4, then spends $3. How many dollars does she have or owe? (Enter an integer in the space below.) ANSWER BOX: $ RESULTS BOX: http://www.mathgoodies.com/lessons/toc_vol5.html
  • egers Integers Unit 5 [1] > Lesson 1 of 11 Problem: The highest elevation in North America is Mt. McKinley, which is 20,320 feet above sea level. The lowest elevation is Death Valley, which is 282 feet below sea level. What is the distance from the top of Mt. McKinley to the bottom of Death Valley? Solution: The distance from the top of Mt. McKinley to sea level is 20,320 feet and the distance from sea level to the bottom of Death Valley is 282 feet. The total distance is the sum of 20,320 and 282, which is 20,602 feet. The problem above uses the notion of opposites: Above sea level is the opposite of below sea level. Here are some more examples of opposites: top, bottom increase, decrease forward, backward positive, negative We could solve the problem above using integers. Integers are the set of whole numbers and their opposites. The number line is used to represent integers. This is shown below. Definitions The number line goes on forever in both directions. This is indicated by the arrows. Whole numbers greater than zero are called positive integers. These numbers are to the right of zero on the number line. Whole numbers less than zero are called negative integers. These numbers are to the left of zero on the number line. The integer zero is neutral. It is neither positive nor negative. The sign of an integer is either positive (+) or negative (-), except zero, which has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. One will have a positive sign, the other a negative sign. In the number line above, +3 and -3 are labeled as opposites. Let's revisit the problem from the top of this page using integers to solve it. Problem: The highest elevation in North America is Mt. McKinley, which is 20,320 feet above sea level. The lowest elevation is Death Valley, which is 282 feet below sea level. What is the distance from the top of Mt. McKinley to the bottom of Death Valley? Solution: We can represent the elevation as an integers:   Elevation Integer 20,320 feet above sea level +20,320 sea level 0 282 feet below sea level -282   The distance from the top of Mt. McKinley to the bottom of Death Valley is the same as the distance from +20,320 to -282 on the number line. We add the distance from +20,320 to 0, and the distance from 0 to -282, for a total of 20,602 feet. Example 1: Write an integer to represent each situation:   10 degrees above zero +10 a loss of 16 dollars -16 a gain of 5 points +5 8 steps backward -8 Example 2: Name the opposite of each integer. -12 +12 +21 -21 -17 +17 +9 -9 Example 3: Name 4 real life situations in which integers can be used. Spending and earning money. Rising and falling temperatures. Stock market gains and losses. Gaining and losing yards in a football game. Note: A positive integer does not have to have a + sign in it. For example, +3 and 3 are interchangeable. Summary: Integers are the set of whole numbers and their opposites. Whole numbers greater than zero are called positive integers. Whole numbers less than zero are called negative integers. The integer zero is neither positive nor negative, and has no sign. Two integers are opposites if they are each the same distance away from zero, but on opposite sides of the number line. Positive integers can be written with or without a sign. Exercises Directions: Read each question below. Click once in an ANSWER BOX and type in your answer; then click ENTER. Do not enter commas in your answers. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. Use the + key to write a positive integer, and the - key to write a negative integer. Omit words and labels from your answers. 1. Write an integer to represent the following situation: Earnings of 15 dollars ANSWER BOX: RESULTS BOX: 2. Write an integer to represent the following situation: A loss of 20 yards ANSWER BOX: RESULTS BOX: 3. What is the opposite of -231? ANSWER BOX: RESULTS BOX: 4. What is the opposite of +1096? ANSWER BOX: RESULTS BOX: 5. Solve the following problem using integers. Jenny has $2. She earns $5, spends $10, earns $4, then spends $3. How many dollars does she have or owe? (Enter an integer in the space below.) ANSWER BOX: $ RESULTS BOX: http://www.mathgoodies.com/lessons/toc_vol5.html
Jennifer Swartz

Home | TV411 - 9 views

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    Reading, Writing, Math, Vocab and What's Cooking
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    I did the summarizing lesson from this site in class today. It had a fun, short video and then several activities the students did together on the interwrite board. They loved it and were very into trying summaries on their own after the lesson.
Renee Bentham

Google World Wonders Project - 1 views

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    You can choose locations and see pictures, read about famous things that happened their and watch videos about why it is important in history. Independence Hall is one of the locations.
Renee Bentham

Purdue OWL Engagement - 2 views

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    Info and instruction for GED writing test
Renee Bentham

GeoGebra - 1 views

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    Free interactive graphics, algebra and spreadsheet for use from elementary school to university level
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    From the TV 411 conversation today
Renee Bentham

Adult Career Pathways Training and Support Center | Instruction | Page 4 - 0 views

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    ABE and ESL contextualized instruction materials for things like skill building for CNA, nursing, construction jobs, etc.
Jennifer Swartz

Algebra.Help -- Calculators, Lessons, and Worksheets - 1 views

shared by Jennifer Swartz on 16 May 13 - Cached
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    Algebra website with practice pages and an equation calculator
Shelley Barrett

BBC - Adult Learning: online courses, guides and advice - 3 views

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    BBC has some fun videos and games
Jennifer Swartz

Thousands of Free Lesson Plans and Educational Resources for Teachers | Verizon Thinkfi... - 2 views

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    Contains some interactive exercises and focuses mainly on literacy. Also provides links at the bottom of the home page for other sites.
Shelley Barrett

Periodic Table Video-cooking and science - 1 views

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    uses cooking to start talking about elements and compounds.
Renee Bentham

Numberphile - Videos about Numbers and Stuff - 0 views

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    Videos about numbers. I watched the one on 60 and it gave the history of why the number 60 was chosen to denote an hour, minutes, etc.
Shelley Barrett

Social Studies Skills Tutor - 8 views

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    geographic literacy, visual analysis, critical thinking and reading, communication
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    I thought this looked great! and is written for adults, but not too hard.
Renee Bentham

Online Resources for Math - Algebra, Trigonometric, Geometry, Calculus, Boolean Algebra... - 0 views

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    Math problems for elementary, middle and high school math topics.
Renee Bentham

48 Ultra-Cool Summer Sites for Kids and Teachers « Ed Tech Ideas - 5 views

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    Variety of interactive sites on a variety of subjects.
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    This one looks like a keeper. Some good looking material for Science and Social studies
Renee Bentham

Crash Course! - YouTube - 0 views

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    Great videos on History and Biology topics!
Renee Bentham

Search, Collect, and Share | SMILE - 1 views

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    Website suggested by TV 411
Shelley Barrett

NewsHour Extra: Lesson Plan | Elasticity of Demand | PBS - 3 views

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    a fun lesson using tummy tucker jeans to explain econ theory and vocab
Renee Bentham

Immigration: Stories of Yesterday and Today and Ellis Island | Scholastic.com - 1 views

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    Great history/social studies resource
Renee Bentham

BBC - Skillswise - English Games - 0 views

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    This is further into a site Shelley showed us yesterday. It is a number of games to reinforce punctuation, grammar, capitalization, homophones, and compound sentences.
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