5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 1. 4.8 4.80 2. 7.7 7.5 8 9 3. 11 10 3 1 4. 5 4

5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 1. 4.8 4.80 2. 7.7 7.5 8 9 3. 11 10 3 1 4. 5 4

5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 1. 4.8 4.80

5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 1. 4.8 4.80 =

5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 2. 7.7 7.5

5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 2. 7.7 > 7.5 >

5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 8 9 3. 11 10

5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 8 9 3. 11 10 80 99 110 110 < <

5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 3 1 4. 5 4

5 Minute Check Replace the with a <, >, or = to make true. Complete in your notebook. 3 1 4. 5 4 12 5 20 20 > >

OST Test Prep During back-to-school week, all school supplies are tax-free. Ray took advantage of this sale and bought a ruler for $0.79, three pens for $1.49 each and two notebooks for $2.25 each. 1. What was the total cost of Ray’s purchases? 2. Ray paid using a $10 bill. How much change did he receive?

OST Test Prep During back-to-school week, all school supplies are tax-free. Ray took advantage of this sale and bought a ruler for $0.79, three pens for $1.49 each and two notebooks for $2.25 each. 1. What was the total cost of Ray’s purchases?

OST Test Prep During back-to-school week, all school supplies are tax-free. Ray took advantage of this sale and bought a ruler for $0.79, three pens for $1.49 each and two notebooks for $2.25 each. 1. What was the total cost of Ray’s purchases? 0.79 1.49 2.25 $7.51

OST Test Prep During back-to-school week, all school supplies are tax-free. Ray took advantage of this sale and bought a ruler for $0.79, three pens for $1.49 each and two notebooks for $2.25 each. 2. Ray paid using a $10 bill. How much change did he receive?

OST Test Prep During back-to-school week, all school supplies are tax-free. Ray took advantage of this sale and bought a ruler for $0.79, three pens for $1.49 each and two notebooks for $2.25 each. 2. Ray paid using a $10 bill. How much change did he receive? 10.00 - $7.51 $2.49

How much does the Death Star cost?

How much does the Death Star cost? Questions to be answered: What do we know? What is a prediction that is too low? is too high? Can we make an accurate prediction or is there additional information that is needed to make a prediction?

Integers, Absolute Value and Compare/Order Integers Wednesday, Dec 7 Integers, Absolute Value and Compare/Order Integers

Integers, Absolute Value and Compare/Order Integers Objective: To review integers, absolute value and compare/order integers

Integers, Absolute Value and Compare/Order Integers Integers are all positive whole numbers and their opposites and zero.

Integers, Absolute Value and Compare/Order Integers To graph an integer on the number line, start at zero. Move to the left for a negative integer and right for a positive integer.

Integers, Absolute Value and Compare/Order Integers A 10 yard loss would be written as what integer?

Integers, Absolute Value and Compare/Order Integers A 10 yard loss would be written as what integer? -10

Integers, Absolute Value and Compare/Order Integers A 10 yard loss would be written as what integer? -10 What would zero represent in this situation?

Integers, Absolute Value and Compare/Order Integers A 10 yard loss would be written as what integer? -10 What would zero represent in this situation? No loss, no gain

Integers, Absolute Value and Compare/Order Integers 6 inches of snow above normal would be written as what integer?

Integers, Absolute Value and Compare/Order Integers 6 inches of snow above normal would be written as what integer? 6 Reminder – if there is no sign in front of the number it is assumed to be positive.

Integers, Absolute Value and Compare/Order Integers 6 inches of snow above normal would be written as what integer? 6 What would zero represent in this situation?

Integers, Absolute Value and Compare/Order Integers 6 inches of snow above normal would be written as what integer? 6 What would zero represent in this situation? Normal

Integers, Absolute Value and Compare/Order Integers A $18 deposit into a saving account would be written as what integer?

Integers, Absolute Value and Compare/Order Integers A $18 deposit into a saving account would be written as what integer? 18

Integers, Absolute Value and Compare/Order Integers A $18 deposit into a saving account would be written as what integer? 18 What would zero represent in this situation?

Integers, Absolute Value and Compare/Order Integers A $18 deposit into a saving account would be written as what integer? 18 What would zero represent in this situation? No deposit

Integers, Absolute Value and Compare/Order Integers The data set {+5, 0, -15, +20} shows the number of points Delaney scored on each hand of a card game. Graph the scores and explain what the meaning of zero would be.

Integers, Absolute Value and Compare/Order Integers The data set {+5, 0, -15, +20} shows the number of points Delaney scored on each hand of a card game. Graph the scores and explain what the meaning of zero would be. Zero would mean no points scored.

Integers, Absolute Value and Compare/Order Integers The temperature outside is 3˚. If the temperature drops 14˚, what will the temperature be?

Integers, Absolute Value and Compare/Order Integers The temperature outside is 3˚. If the temperature drops 14˚, what will the temperature be? - 11˚

Integers, Absolute Value and Compare/Order Integers Opposites are numbers that are the same distance from zero in opposite directions on the number line.

Integers, Absolute Value and Compare/Order Integers What is the opposite of 4?

Integers, Absolute Value and Compare/Order Integers What is the opposite of 4? - 4 4 units 4 units

Integers, Absolute Value and Compare/Order Integers 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.

Integers, Absolute Value and Compare/Order Integers I-7I =

Integers, Absolute Value and Compare/Order Integers I-7I = 7 7 units

Integers, Absolute Value and Compare/Order Integers I 8 I =

Integers, Absolute Value and Compare/Order Integers I 8 I = 8 8 units

Integers, Absolute Value and Compare/Order Integers I5I + I-6I

Integers, Absolute Value and Compare/Order Integers I5I + I-6I 5 + 6 = 11

Integers, Absolute Value and Compare/Order Integers I-7I – I3I

Integers, Absolute Value and Compare/Order Integers I-7I – I3I 7 - 3 = 4

Integers, Absolute Value and Compare/Order Integers I9-2I

Integers, Absolute Value and Compare/Order Integers I9-2I

Integers, Absolute Value and Compare/Order Integers An inequality is an expression that shows two values are not equal. A “greater than” or “less than” sign shows an inequality. e.g. 6 > 3

Integers, Absolute Value and Compare/Order Integers Replace with < or > to make the statement true. -6 5

Integers, Absolute Value and Compare/Order Integers Replace with < or > to make the statement true. -6 5 On a number line, the number to the left is always less than the number to the right. <

Integers, Absolute Value and Compare/Order Integers Replace with < or > to make the statement true. -1 0

Integers, Absolute Value and Compare/Order Integers Replace with < or > to make the statement true. -1 0 On a number line, the number to the left is always less than the number to the right. <

Integers, Absolute Value and Compare/Order Integers Replace with < or > to make the statement true. -2 -5

Integers, Absolute Value and Compare/Order Integers Replace with < or > to make the statement true. -2 -5 On a number line, the number to the left is always less than the number to the right. >

Integers, Absolute Value and Compare/Order Integers Order 4, 8, 0, -5 from least to greatest

Integers, Absolute Value and Compare/Order Integers Order 4, 8, 0, -5 from least to greatest -5, 0, 4, 8

Integers, Absolute Value and Compare/Order Integers Order 1, -3.5, 4, -1.5 from least to greatest

Integers, Absolute Value and Compare/Order Integers Order 1, -3.5, 4, -1.5 from least to greatest -3.5, -1.5, 1, 4

Integers, Absolute Value and Compare/Order Integers 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?

Integers, Absolute Value and Compare/Order Integers 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 = 10 - 6 = 4 feet

Integers, Absolute Value and Compare/Order Integers The elevation of Driskill Mountain, LA is 163 meters above sea level. Death Valley has an elevation of -86 meters. What is the distance from the top of Driskill Mountain to the bottom of Death Valley?

Integers, Absolute Value and Compare/Order Integers The elevation of Driskill Mountain, LA is 163 meters above sea level. Death Valley has an elevation of -86 meters. What is the distance from the top of Driskill Mountain to the bottom of Death Valley? 163m Driskill Mt 163 + 86 = 249m 86 m Death Valley

Integers, Absolute Value and Compare/Order Integers Melanie, Byron, and Chin are all waiting at the bus stop. Melanie’s bus leaves at 10 minutes after noon. Byron’s bus leaves at 15 minutes before noon. Chin’s bus leaves at 5 after noon. Arrange the three according to who will leave the bus stop first.

Integers, Absolute Value and Compare/Order Integers Melanie, Byron, and Chin are all waiting at the bus stop. Melanie’s bus leaves at 10 minutes after noon. Byron’s bus leaves at 15 minutes before noon. Chin’s bus leaves at 5 after noon. Arrange the three according to who will leave the bus stop first. Bryon, Chin, Melanie Chin Noon Byron Melanie

Integers, Absolute Value and Compare/Order Integers 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?

Integers, Absolute Value and Compare/Order Integers 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 = 10 + 10 = 20 points lost

Integers, Absolute Value and Compare/Order Integers In a golf match, Jesse scored 5 over par, Neil scored 3 under par, Felipo scored 2 over par, and Dawson scored an even par. Order the players from least to greatest score.

Integers, Absolute Value and Compare/Order Integers In a golf match, Jesse scored 5 over par, Neil scored 3 under par, Felipo scored 2 over par, and Dawson scored an even par. Order the players from least to greatest score. Neil, Dawson, Felipo, Jesse Felipo Dawson Par Jesse Neil

Terminating Decimals, Repeating Decimals and Graphing A Rational Number is any number that can be written as a fraction. That means it can be written as a fraction, in which both the numerator and the denominator are whole numbers.

Terminating Decimals, Repeating Decimals and Graphing Every rational number can be written as either a terminating decimal or repeating decimal. Terminate means to end.

Terminating Decimals, Repeating Decimals and Graphing There are two methods to convert a fraction to a decimal. The Proportion Method – which is easier, but only works sometimes. Long Division Method - More difficult, but works all the time.

Terminating Decimals, Repeating Decimals and Graphing With the Proportion Method the goal is convert the denominator to 10,or 100. Reminder – what you do to the denominator you must do to the numerator.

Terminating Decimals, Repeating Decimals and Graphing Write 3 25 as a decimal.

Terminating Decimals, Repeating Decimals and Graphing Write 3 25 as a decimal. 3 25 = 12 100 = 0.12 X 4 X 4

Terminating Decimals, Repeating Decimals and Graphing Write 7 20 as a decimal.

Terminating Decimals, Repeating Decimals and Graphing Write 7 20 as a decimal. 7 20 = 35 100 = 0.35 X 5 X 5

Terminating Decimals, Repeating Decimals and Graphing Write 3 8 as a decimal.

Terminating Decimals, Repeating Decimals and Graphing Write 3 8 as a decimal. 3 8 = 45 100 If the Proportion Method does not work, you must long divide. X ?

Terminating Decimals, Repeating Decimals and Graphing Write 3 8 as a decimal. 0.375 8)3.000 -0 30 -24 60 -56 40 -40

Terminating Decimals, Repeating Decimals and Graphing Write - 2 3 5 as a decimal

Terminating Decimals, Repeating Decimals and Graphing Write - 2 3 5 as a decimal -2.6 We can remove the negative sign and/or whole number to divide and re-attach it at the end. 3 5 = 60 100 = 0.60 = 0.6

Terminating Decimals, Repeating Decimals and Graphing Write 27 24 as a decimal

Terminating Decimals, Repeating Decimals and Graphing Write 27 24 as a decimal 01.125 24)27.000 -0 27 -24 30 60 -48 120

Integers, Absolute Value and Compare/Order Integers Will the absolute value of a negative integer be positive or negative?

Integers, Absolute Value and Compare/Order Integers Will the absolute value of a negative integer be positive or negative? Absolute values are always positive.

Integers, Absolute Value and Compare/Order Integers The integers −10 and 10 are called what?

Integers, Absolute Value and Compare/Order Integers The integers −10 and 10 are called what? Opposites Opposites are the same distance from zero on the number line.

Multiplying Fractions Agenda Notes Semester Review CH5a Due Thursday, Dec 8 Chapter 5 Semester Quiz Friday, Dec 9