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5 Minute Check Write an integer for the following. Complete in your notes. 1. 17˚ below zero 2. Spending $25 On your number line, graph the following.

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Presentation on theme: "5 Minute Check Write an integer for the following. Complete in your notes. 1. 17˚ below zero 2. Spending $25 On your number line, graph the following."— Presentation transcript:

1 5 Minute Check Write an integer for the following. Complete in your notes ˚ below zero 2. Spending $25 On your number line, graph the following {0, -3, 1, -1}

2 5 Minute Check Write an integer for the following. Complete in your notes ˚ below zero

3 5 Minute Check Write an integer for the following. Complete in your notes. ˚ below zero -17

4 5 Minute Check Write an integer for the following. Complete in your notes. 2. Spending $25

5 5 Minute Check Write an integer for the following. Complete in your notes. 2. Spending $25 -25

6 5 Minute Check On your number line, graph the following

7 5 Minute Check On your number line, graph the following

8 5 Minute Check On your number line, graph the following. 4. {0, -3, 1, -1}

9 5 Minute Check On your number line, graph the following. 4. {0, -3, 1, -1}

10 Essential Question A seagull is flying 20 feet above sea level. Dan is diving 15 feet below sea level. On a number line show this situation and determine the distance between Dan and the sea gull.

11 Essential Question A seagull is flying 20 feet above sea level. Dan is diving 15 feet below sea level. On a number line show this situation and determine the distance between Dan and the sea gull. 35 feet

12 Wednesday, Sept 28 Lesson 5.2 Absolute Value

13 Absolute Value Objective: To find the absolute value of an integer.

14 Wednesday, Sept 28 Lesson 5.2 Absolute Value

15 Absolute Value Opposites are numbers that are the same distance from zero in opposite directions on the number line.

16 Absolute Value Opposites are numbers that are the same distance from zero in opposite directions on the number line. The sum of a number and it’s opposite will always equal what?

17 Absolute Value Opposites are numbers that are the same distance from zero in opposite directions on the number line. The sum of a number and it’s opposite will always equal what? Zero

18 Absolute Value Two integers that are opposites are also called additive inverses. The Additive Inverse Property states that the sum of any number and its opposite will always be zero = 0

19 Absolute Value What is the opposite of 4?

20 What is the opposite of 4? -4 is the opposite of 4
Absolute Value What is the opposite of 4? -4 is the opposite of 4 4 units 4 units

21 Absolute Value What is the opposite of -9?

22 What is the opposite of -9? 9 is the opposite of -9
Absolute Value What is the opposite of -9? 9 is the opposite of -9 9 units 9 units

23 Absolute Value What is the opposite of the opposite -14?

24 Absolute Value What is the opposite of the opposite -14? 14 is the opposite of -14, and -14 is the opposite of 14. So the opposite of the opposite of -14 is -14.

25 Can a distance measurement ever be a negative number?
Absolute Value Can a distance measurement ever be a negative number?

26 Absolute Value The absolute value is the distance a number is from zero on the number line. The absolute value will always be a positive number. InI = the absolute value of n.

27 Absolute Value I5I = 5 5 is 5 places from zero on the number line.

28 Absolute Value I-2I = 2 -2 is 2 places from zero on the number line.

29 Absolute Value I-7I = Do this on your own.

30 Absolute Value I-7I = 7

31 Absolute Value I8I = Do this on your own.

32 Absolute Value I8I = 8

33 Absolute Value I5I + I-6I = Do this on your own.

34 Absolute Value I5I + I-6I = = 11 On today’s assignment, rewrite the equation after solving the absolute value before performing the operation.

35 Absolute Value I-7I – I3I = Do this on your own.

36 Absolute Value I-7I – I3I = = 4

37 Absolute Value I-9I + I3I = Do this on your own.

38 Absolute Value I-9I + I3I = = 12

39 Absolute Value I-8I – I-2I = Do this on your own.

40 Absolute Value I-8I – I-2I = = 6

41 Absolute Value I9-2I= Do this on your own.

42 Absolute Value I9-2I = I7I = 7 When the operation is inside the absolute value sign, perform the operation first, then determine the absolute value.

43 Absolute Value I15-6I = Do this on your own.

44 Absolute Value I15-6I = I9I = 9

45 Absolute Value A game show contestant answered a question incorrectly and lost 10 points. He answered another question incorrectly and lost another 10 points. How many total points has he lost?

46 Absolute Value I-10I + I-10I = 10 + 10 = 20 points lost
A game show contestant answered a question incorrectly and lost 10 points. He answered another question incorrectly and lost another 10 points. How many total points has he lost? I-10I + I-10I = = 20 points lost

47 Absolute Value Jayson spent $8 on a shirt. Then he spent $4 on socks. How much money has he spent?

48 Absolute Value Jayson spent $8 on a shirt. Then he spent $4 on socks. How much money has he spent? I-8I + I-4I = = $12 spent

49 Absolute Value Lilly saw a jelly fish at 6 feet below sea level. She saw a bright blue fish at 10 feet below sea level. What is the distance between the two fish?

50 Absolute Value Lilly saw a jelly fish at 6 feet below sea level. She saw a bright blue fish at 10 feet below sea level. What is the distance between the two fish? I-10I - I-6I = = 4 feet

51 Absolute Value At the football game last Friday in the first series, the first plays was a +6 yards, the second play was a -4 yards and the 3rd play was a - 7 yards. How many total yards were covered?

52 Absolute Value At the football game last Friday in the first series, the first plays was a +6 yards, the second play was a -4 yards and the 3rd play was a - 7 yards. How many total yards were covered? I6I + I-4I + I-7I = 17 yards

53 Absolute Value At the football game last Friday in the first series, the first plays was a +6 yards, the second play was a -4 yards and the 3rd play was a - 7 yards. Where is the ball located in relation to the original line of scrimmage?

54 Absolute Value At the football game last Friday in the first series, the first plays was a +6 yards, the second play was a -4 yards and the 3rd play was a - 7 yards. How many total yards were covered? Where is the ball located in relation to the original line of scrimmage? 5 yards behind the line of scrimmage.

55 Absolute Value At the football game last Friday in the first series, Identify the phrase that cannot be described by the same absolute value as the other three. Explain your reasoning.

56 Absolute Value At the football game last Friday in the first series, Identify the phrase that cannot be described by the same absolute value as the other three. Explain your reasoning. 18 ° below normal, the others have an absolute value of 8.

57 Absolute Value At the football game last Friday in the first series, Is the following statement always, sometimes or never true. If a and b are integers and a > b, then IaI > IbI.

58 Absolute Value At the football game last Friday in the first series, Is the following statement always, sometimes or never true. If a and b are integers and a > b, then IaI > IbI. Sometimes; if a = 4 and b = -6, the I4I < I-6I

59 Absolute Value At the football game last Friday in the first series, Why is the absolute value of a number never negative?

60 Absolute Value At the football game last Friday in the first series, Why is the absolute value of a number never negative? The absolute value represents a distance and a distance can never be negative.

61 Absolute Value Agenda Notes Skills Practice 5.2 Due by the end of class Mid Chapter 5 Quiz Friday, Sept 30 Retakes Thursday after school


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