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Pre-Algebra

Pre-Algebra. August 15, 2011 Please find your seat and get ready for class by getting your agenda and class materials out. Write the following in your agenda: Topic: Compare and Order Integers

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Pre-Algebra

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  1. Pre-Algebra August 15, 2011 Please find your seat and get ready for class by getting your agenda and class materials out. Write the following in your agenda: Topic: Compare and Order Integers Learning Objective: Students will discover absolute value by comparing and ordering integers on a number line.

  2. Warm Up Which symbols + or – have to be inserted so that each of the equations below is correct? • 2 9 3 5 7 1 = 9 • 4 4 5 7 2 8 = 8 • 3 6 5 2 4 4 = 0 • 8 4 3 5 2 1 = 7

  3. Warm Up Which symbols + or – have to be inserted so that each of the equations below is correct? • 2 + 9 – 3 – 5 + 7 – 1 = 9 • 4 – 4 + 5 – 7 + 2 + 8 = 8 • 3 – 6 + 5 – 2 – 4 + 4 = 0 • 8 + 4 – 3 – 5 + 2 + 1 = 7

  4. Compare and Order Integers Essential Question: Explain the relationship between integers and absolute value? How are integers used in real life?

  5. Compare and Order Integers Vocabulary Negative numbers like -86, positive numbers like 125, and zero are members of the set of integers Put your own definition for integers Integers Examples: -3, 0, 2, 56, -89 Non-examples: ½ ,3¾, 0.5, -1.8

  6. Compare and Order Integers Number Line NegativePositive -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Negative numbers, positive numbers, and zero are members of the set of integers. Integers can be represented as points on a number line. Zero is neither positive nor negative Numbers to the right of zero are greater than zero. Numbers to the left of zero are less than zero.

  7. Compare and Order Integers Examples of integers in real situations: WordsInteger 76 feet below sea level -76 5°F below zero -5 20 yards gain in 20 football game $350 deposit 350

  8. Compare and Order Integers To graph integers, locate the point named by the integer on a number line. The number that corresponds to a point is called the coordinateof that point. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 graph of a point with coordinate 4 graph of a point with coordinate -5

  9. Compare and Order Integers Notice that -5 is to the left of 4 on the number line. This means that -5 is less than 4. A sentence that compares two different numbers or quantities is called an inequality. They contain symbols like < and >. Words -5 is less than 4 4 is greater than -5 Symbols -5 < 4 4 > -5 Words -4 is less than -2 4 is greater than 2 Symbols -4 < -2 4 > 2

  10. Compare and Order Integers Circle the correct term and symbol. Words -3 is (less, greater) than -1 1 is (less, greater) than 3 Symbols-3 (<,>) -11 (<,>) 3 Words -11 is (less, greater) than -6 15 is (less, greater) than 8 Symbols-11 (<,>) -615 (<,>) 8 Words -24 is (less, greater) than -12 13 is (less, greater) than 34 Symbols-24 (<,>) -1213 (<,>) 34

  11. Compare and Order Integers -50 -48 -46 -44 -42 -40 -38 -36 -34 -32 -30 -28 -26 -24 -22 -20 -18 -16 -14 -12 -10 Write the numbers as they appear from left to right. The temperatures -45°, -37°, -36°, -34°, -32°, -30°, -27°, -23°, -17° are in order from least to greatest.

  12. Compare and Order Integers Sports The table below shows the number of yards rushing for several players on a football team during their last game. When complete, compare your graph and list with your partner.

  13. Compare and Order Integers 4 units 4 units -4 -3 -2 -1 0 1 2 3 4 On a number line, notice that-4 and 4 are on oppositesides of zero. What does opposite mean?

  14. Compare and Order Integers Also notice that -4 is four units from zero as well as 4 is four units from zero. Look at the number line below and answer the following questions. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 How many units is -10 from zero? The number 5 is how many units from zero? What is the number of units that -8 is from zero?

  15. Compare and Order Integers What do you notice about the number of units that each integer is from zero? What do the number of units from zero for each integer represent? The mathematical term for distance from zero on a number line is absolute value. Since absolute value represents distance, it can never be negative.

  16. Compare and Order Integers The mathematical symbol for absolute value is two vertical bars on sides of the number. Symbol |4| = 4 |-4| = 4 Words the absolute value of the absolute value of 4 is 4 -4 is 4

  17. Compare and Order Integers Practice: |14| = |-9| = |-3| = |-9| + |3| = |-8| - |-2| =

  18. Compare and Order Integers Closure: Explain the relationship between integers and absolute value?

  19. Compare and Order Integers Ticket out the door: Explain why -|-4| does not have the same value as 4. Please be prepared to show your answer as you leave class. Great job!!!!!!

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