Accentuate the Negative

Show me the money Kamauri decided to start a coffee shop. He spent: $20 on coffee. $15 on cups $10 on sugar and cream On the first day he was open, he made $75. On the second day he made $50. Did Kamauri’s stand make money? How much money did it make?

Temperature Problem Using a thermometer, Find the temperature in Farenheit that it would be on a hot summer day. Find the temperature that it would be on the coldest day of the year. What is the difference between these two temperatures?

Getting Colder One day it was 60 degrees Farenheit outside. Mark this temperature on the thermometer.

Getting Colder One day it was 60 degrees Fahrenheit outside. Mark this temperature on the thermometer. If the temperature decreased 15 degrees, what temperature would it be?

Getting Colder One day it was 60 degrees Fahrenheit outside. Mark this temperature on the thermometer. If the temperature decreased 15 degrees, what temperature would it be? If the temperature decreased 40 more degrees, what would the new temperature be?

Getting Colder One day it was 60 degrees Fahrenheit outside. Mark this temperature on the thermometer. If the temperature decreased 15 degrees, what temperature would it be? If the temperature decreased 40 more degrees, what would the new temperature be? If the temperature decreased 20 more degrees, what would the temperature be?

Getting Colder One day it was 60 degrees Fahrenheit outside. Mark this temperature on the thermometer. If the temperature decreased 15 degrees, what temperature would it be? If the temperature decreased 40 more degrees, what would the new temperature be? If the temperature decreased 20 more degrees, what would the temperature be? What is the difference between the highest and the lowest temperature that day in degrees Fahrenheit?

Sauna to Ice Bath In the arctic, Nordic people have a tradition. They sit in saunas (hot houses) where the temperature can be as hot as 40 C (105 F.) Then, they run out into ice cold water where the temperature can be as cold as -10 C (20 F.) What is the difference in temperature between the sauna and the ice water?

Your Turn Think of a situation where the temperature changes from below zero to above zero or from above zero to below zero. Write a problem for other students to solve using a thermometer number line.

Challenge: Elevation Changes in the U.S.A. The highest point in the United States is the summit of Mount McKinley (Denali) in Alaska. This mountain is 20,320 feet above sea level. The lowest point in the United States is in Death Valley California. Here, it is 282 feet below sea level. What is the difference in elevation between the summit of McKinley and Death Valley?

Temperature Extremes Temperature can change quickly in the mountains. One day in the Alps, it was 55 degrees Farenheit at 3 in the afternoon. By 2 in the morning, it was -15 degrees Farenheit. What was the change in temperature?

Warm it Up This special furnace is used for heating and cooling chemicals. Did you know that oxygen is a liquid when it’s cold? If oxygen is heated up from the temperature at which it is a liquid about 1150 degrees Kelvin it ionizes and glows. If oxygen ionizes at 1000 degrees Kelvin, at what temperature is it a liquid?

Integer Puzzle: Use a number line to solve This morning, Jaheim decided to bike to school. After biking for 3 miles, Jaheim realized that he left his homework at his house. He turned around and went back to his house to get his homework. Jaheim biked back to school but realized that he was early (biking takes way less time than the bus.) So Jaheim biked an extra ½ mile to get breakfast at the landmark center. Then Jaheim biked to school in time for class. How far did Jaheim ride this morning?

Does the person who wrote this need an education or not?

1.2 Sauna to Snowbank Make a Number Line Numbered -15 to 15 Independently Work on page 11 A-F, skip C7 Review with “multiple choice skills practice 1” at http://www.phschool.com/webcodes10/index.cfm?fusea ction=home.gotoWebCode&wcprefix=ank&wcsuffix=00 99H Homework Page 16-17, 11-29

-10 to 10 number line

Integer Resources http://www.mathgoodies.com/games/integer_game/footbal l.html -Practice adding integers with a number line http://espn.go.com/nfl/playbyplay?gameId=311224017 -Play by play football yardage gains and losses NLVM- Chip board manipulative

Distance of Two Points from an Origin If you are at 6th avenue and 51st street in New York City, you are 5 blocks south of 56th street and 1 block north of 50th street. How many blocks is it between 50th street and 56th street?

Distance between 2 points across an origin. Someone is at an intersection. If they turn to the right, there is a town 8 miles away. If they turn to the left, there is a town 9 miles away. How far apart are the 2 towns?

Find distances on the coordinate grid Find the distance between the following points: (-4,0) and (5,0) (7,0) and (-6,0) (0,2) and (0,-9) (0,-3) and (0,6) How does knowing the absolute value of numbers help you to find the distance between them?

Subtraction with Negative Integers If you are subtracting a positive number from a negative number, move to the left like a normal subtraction problem. Ex: -4 – 5 = -9 (The absolute value of -9 is 9) If you are subtracting a negative number from a positive number, add the absolute value of the number. Ex: 7 - -6 = 7 + [-6] = 13 If you are subtracting a negative number from a negative number, begin at the negative number on the number line and add the absolute value of the second number Ex: -6 - -8 = -6 + [-8] = 2

Tiger Woods had the best all time pro golf score- Guess what it was.

Tiger Woods had one of the best all time golf scores- it was -18.

Classwork: Try “connections” on page 19, #s 39-43 (remember that in golf “par” means zero) and 48-54

Agenda Review Classwork/Homework, 19, 39-43. 20, 48-53 Word problems Homework, rewriting number sentences (the +/-)

2.3 The +/- connection Rewrite addition/subtraction sentences Page 29 A, 1-2 C, 1 and 3

Apply Your Knowledge Addition and Subtraction of Integers word problems. http://www.mathgoodies.com/lessons/vol5/challenge_vol5 .html

3.2 Multiplication Patterns Look at the fives multiplication facts Page 46 Guided Classwork A, 1 and 2 B, 1-3 C, 1a Independent, page 51 4-6 all

3.4 Integer Product Game http://www.phschool.com/atschool/cmp2/active_math/site/ Grade7/IntProdGame/

3.3 Division of Integers Remind students that division problems can be written as fractions.

Rules for Multiplying Integers A negative multiplied/divided by a negative is positive A positive multiplied/divided by a negative is negative A positive multiplied/divided by a positive is positive

Geography The highest point in Asia is Mount Everest at 8850 meters. The shore of the Dead Sea, the lowest point in Asia, is about 410 meters below sea level. What is the difference between these elevations?

Weather In Fairfield, Montana, on December 24, 1924, the air temperature dropped a record amount. At noon, the temperature was 63F. Twelve hours later, the temperature was
-21F. What was the change in temperature?

Math Puzzle Warm-Up The air temperature in the atmosphere decreases at the rate of 9 ºC every 300 meters. What height would a plane have to fly to experience a temperature of −81 ºC? The temperature is 0º C at sea level.

Math Puzzle Warm-Up In a well there is 800 liters of water. At the top there is a pipe that deposits 25L per minute into the well, and at the bottom there is another pipe which withdraws 30L per minute from the same well. How many liters of water will there be in the well after 15 minutes of the pipes functioning?

Plan for Dividing Integers Review rules for sign in multiplication/division of integers Connections between fractions and division: Divide a snack into three parts. How much does each person get? Practice dividing integers with AAA math

Math Puzzle Warm-Up Sam spent one-fourth of his life as a boy, one eighth as a young man, and one-half as an old man. If Sam spent 12 years as a boy, then how many years did he spend as an old man?

Order of Operations Review exponents. Solve number sentences with all operations, up to 5 operations.

Agenda: Day 1 Review integers with all operations. Introduce order of operations w problem 4.1- Page 61 Guided Practice: p. 63, B & D HW: p. 69, 1 & 2, all.

Agenda: Day 2 Warm-Up Puzzle PEMDAS card game example PEMDAS Cards

Puzzle Put parenthesis into this expression to make it have as large of a sum/product as possible. 6 – 2 * 2 + 42

PEMDAS cards rules Pick 4 integer number cards. Use any operations to make an expression Put the numbers in order to get the biggest product Get points for your product If your opponent can think of an expression using the same numbers that yields a bigger product, they steal your turn and get that many points. First person to 500 wins.

Order of Operations Resources http://www.math-drills.com/orderofoperations.shtml http://www.phschool.com/webcodes10/index.cfm?fusea ction=home.gotoWebCode&wcprefix=ank&wcsuffix=00 99

4.3 The Distributive Property Distribute negative integers across expressions. Distribute multiplication over addition expressions.

Agenda: Day 1 Vocabulary: Distributive Property Class examples Guided work: Expanded and factored forms p. 67, A 1, 2, & 6, B 1 & 6, C 1 & 3 Independent Work/HW: A 3-5, B 3-5, C 3-6

Vocabulary Distributive Property- Muliplication distributes over division.

Example: Solve the expression 2 * 5 + 2 * 4 = 2 * (5 + 4) =

Example: Solve the expression 2 * 5 + 2 * 4 = 2 * (5 + 4) = Why do these expressions yield the same product? Can you think of another way to use these numbers in an equation that would give the same product?

Example: Solve the expression Expanded Form: 2 * 5 + 2 * 4 = Factored Form: 2 * (5 + 4) = Why do these expressions yield the same product? Can you think of another way to use these numbers in an equation that would give the same product?

Algebraic Distributive Property Expanded Form: a * b + a * c = Factored Form: a * (b + c) = What if a = 3, b = 5, and c = 7?

Day 2 Agenda Warm-up word problem Guided Practice: P. 69, 1b & c, 2 d, 13, 15,

Warm-Up Problem Lisa and 3 of her friends are going hiking. Lisa buys 2 bottles of water and 3 packs of trail mix for them. Can she go through the “15 items or less” express check- out?