Accentuate the Negative

Show me the moneyKamauri 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 ProblemUsing 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 ColderOne day it was 60 degrees Farenheit outside.

Mark this temperature on the thermometer.

Getting ColderOne 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 ColderOne 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 ColderOne 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 ColderOne 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 BathIn 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 TurnThink 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 ExtremesTemperature 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 UpThis 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 PuzzleThis morning, Niberson decided to bike to

school. After biking for 1 mile, Niberson realized that he left his homework at his house. He turned around and went 1 mile back to his house to get his homework. Niberson biked back to school but realized that he was early (biking takes way less time than the bus.) So Niberson biked an extra ½ mile to get breakfast at the landmark center. After breakfast, Niberson biked to the school. If it is 3 miles from Niberson’s house to the school- how far did he ride?

1.2 Sauna to SnowbankMake 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?fuseaction=home.gotoWebCode&wcprefix=ank&wcsuffix=0099H

Homework Page 16-17, 11-29

Integer Resourceshttp://www.mathgoodies.com/games/

integer_game/football.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

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

AgendaReview Classwork/Homework, 19, 39-43. 20, 48-

53

Word problems

Homework, rewriting number sentences (the +/-)

2.3 The +/- connectionRewrite addition/subtraction sentences

Page 29

A, 1-2

C, 1 and 3

Apply Your KnowledgeAddition and Subtraction of Integers word

problems.

http://www.mathgoodies.com/lessons/vol5/challenge_vol5.html

3.2 Multiplication PatternsLook 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 Gamehttp://www.phschool.com/atschool/cmp2/

active_math/site/Grade7/IntProdGame/

3.3 Division of IntegersRemind 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-UpIn 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 IntegersReview 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-UpSam 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 OperationsReview exponents. Solve number sentences with all

operations, up to 5 operations.

Agenda: Day 1Review 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 2Warm-Up Puzzle

PEMDAS card game example

PEMDAS Cards

PuzzlePut parenthesis into this expression to make it

have as large of a sum/product as possible.

6 – 2 * 2 + 42

PEMDAS cards rulesPick 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?fuseaction=home.gotoWebCode&wcprefix=ank&wcsuffix=0099

4.3 The Distributive Property

Distribute negative integers across expressions. Distribute multiplication over addition expressions.

Agenda: Day 1Vocabulary: 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

VocabularyDistributive 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 AgendaWarm-up word problem

Guided Practice: P. 69, 1b & c, 2 d, 13, 15,

Warm-Up ProblemLisa 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?