Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day One What is the value of the expression below? 4 × [(8 + 7) × 5] + 9 ÷ 3 2 A.68 B. 80 C. 173 D. 301 Answer: Why? Show Your Work:

Word of the Week Rational Number: Any number that can be made by dividing one integer by another. The word comes from "ratio".

Shoe Shopping You are shopping for some new shoes. You want to buy a pair of Nike Jordan tennis shoes. A commercial for footlocker says that they taking ¾ off the original price of all Nike shoes. An advertisement for Shoe Department says their Nike shoes are 70% off the original price. Which is the better buy? How would you solve this problem?

Objective I will be able to convert fractions, decimals, and percents.

Number Line -∞ ∞ ∞ is a math symbol that means “without limits”. List numbers between 1 and 2 on the number line List numbers between 1.3 and 1.4 List Numbers between 3/5 and 4/5 (Fractions, Decimals, and Percents) What can we concluded?

Rational Numbers What are Rational Numbers? Any number that can be converted to a fraction Examples of Rational numbers: 2, ¾,.333, Why are -2, 3.4 considered rational numbers? Let’s practice Directions: Convert all decimals and whole numbers to decimals to fractions (whiteboards).5 = 57= 5 ¾= -3=.25= 7 1/3=

What do they have in common?

Percents Percent is That means 50% is 50 per (or out of) 100 2% is 2 per % is 100 per 100 ( or one whole or 1) 312% is 312 per 100 (Percents can be more than 100. This means that they are more than one whole) Since each percent means per 100 it can be written as a fraction Ex. 17%= 17/ %= ____________= (Can this be simplified?) 200%= ___________= (why is the denominator 100?)

You Try Change the percent to fraction You try 315%= 25%= Are these rational numbers? Why? Change percent to decimal Example 15%= You Try 125%= 25.34%=

How to change fractions to percents? Use proportions. Proportion is two equivalent fractions Example What percent is equivalent to the fraction ¾ ? ¾ =x/100 What percent is equivalent to the fraction 5/12? Work it out % (Stand up) - 4.6% (Clap Once) Repeating% (Stomp Once)

Last Problem Last Problem: A paint store gives a discount to 60 of every 100 customers. What percent of the customers did not receive a discount?

Matching Cards

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Two Which of the following explanations gives a logical argument to demonstrate the denseness of rational numbers? A.Between any two rational numbers there is one and only one rational number. B.Between any two rational numbers there are infinitely many rational numbers. C.All points on the number line represent rational numbers only. D.Some points on the number line represent rational numbers. Answer: Why? Show Your Work:

Word of the Week Rational Number: Any number that can be made by dividing one integer by another. The word comes from "ratio".

Football Video Clip to Introduce Integers Q__c Q__c Football Activity Out of book and worksheets from Common Core Textbook

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Three Measurements showed that the water level of the river was feet on the first day of August. On the first day of September, the level had risen feet. What was the measurement of the water level on the first day of September? A feet B feet C feet D feet Answer: Why? Show Your Work:

Word of the Week Rational Number: Any number that can be made by dividing one integer by another. The word comes from "ratio".

Translate Hola azul blanco uno

Objective I can translate and solve equation. I can represent equations on a number line.

Phrase and Symbols that suggest adding and subtracting AdditionSubtraction Sum-Difference Total- Subtracted from Added to- Decreased by Increased by-Less than More than

Translating Words into Numbers The sum of eight and 9 The sum of seven and a number 7 more than -9 5 decreased by 2 number that is 10 less than 6 83 less than a number

You Try 6 added to 7 The sum of a+b 5 more than 2 7 minus 3 The difference between 4 and 2 10 less than 20

Representing Addition with the Number Line A number line can be used to model integer addition. When adding a positive integer, move to the right on a number line. When adding a negative integer, move to the left on a number line.

Representing Addition with the Number Line The number line shows how to determine Step One: Place point on 0. Step 2: Identify the direction of the arrow Positive:___________________Negative:___________________ Step 3: Extend arrow to the number Step 4: Place another point on the last arrows end point. Step 5:Identify the direction & count the points. Example: 5+4=9

Representing Addition with the Number Line 5 + (-8) 1 st : Start at 0 and extend arrow 5 units to the right 2 nd : Start endpoint at 5 and count 8 units to the left You Try 3 + 7= _____

Representing Addition with the Number Line 5 + (-8) 1 st : Start at 0 and extend arrow 5 units to the right 2 nd : Start endpoint at 5 and count 8 units to the left You Try -3 +7=______

Butcher Paper Write the problems on butcher paper. Use a marker. Use a ruler to create a number line. Use arrows to show a visual representation of the problem. We will review in class.

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Four A Guadeloupe bass was swimming underwater at a depth of 12 feet. It rose 3 feet, dropped 5 feet, rose 10 feet, and dropped 1 foot. What is the current depth of the fish? A. -7 ft B. 7 ft C. -5 ft D. -3 ft Answer: Why? Show Your Work:

Word of the Week Rational Number: Any number that can be made by dividing one integer by another. The word comes from "ratio".

Review Translate: the sum of 5 and 6 Translate: x more than 12,000 What is “additive inverse”?

Science: Name that object

Atom Proton-positive Electrons-negative A gold atom contains 7 protons and 9 electrons. What is the atom’s charge?

Objective I can use counters to create equations. I can solve word problems with integers.

Adding With Counting Additive Inverse: When a number an its opposite are added, it yields zero = 4+ (-4)=

Adding with Positive Numbers 5+8

Adding with Negative Numbers -6+(-10)

Adding with Numbers with Unlike Signs =

Create the Equation from the Picture

=________ 100+ (-25)=______ -80+ (-2)= What are the rules of addition -adding positives -adding negatives -adding numbers with unlike signs

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day Five Susan is working on her checking account balance. According to the diagram, which answer justifies Susan’s current balances? Deposit+700 Check Check Check Balance ? F.She still has $525 in her checking account. G.She has $0 in her account. H.She is $175 in the negative or overdrawn. J.She has $1575 in her checking account. Answer: Why? Show Your Work:

Word of the Week Rational Number: Any number that can be made by dividing one integer by another. The word comes from "ratio".

Social Studies: Name that Picture

Elevators & Maps Elevation Map: map which shows the different elevations (heights) of an area.

Elevations A student used the following elevations in a calculation: -Airplane height: 25,319 feet -Submarine depth: 874 feet below sea level What is the distance between the two elevations?

Subtraction and Distance Distance between mountains and sea depth Difference between temperatures. Example: South Carolina’s maximum temperature is 90 degrees Fahrenheit. Their minimum temperature is 10 degrees Fahrenheit. What is the difference between the temperatures? Example: North Carolina’s maximum temperature is 101 degrees Fahrenheit. Their minimum temperature is -4 degrees Fahrenheit. What is the difference between the temperatures?

Activity The chart describes the minimum and maximum temperatures in various states. You must find the difference for each state’s temperatures. You will work in pairs to complete the chart. Write your answers on sticky notes and insert it in the appropriate area. Work with your neighbor quickly and quietly. You can use your calculator to solve the problems. The first and second group to complete the chart correctly receive a prize.

Subtracting with Positive Numbers 8-5 First you start with 8 counters.

Subtracting with Positive Numbers 8-5=_____ Then take away 5 positive counters. How many are left?

Subtracting with Negative Numbers (-4) Start with 10 negative counters.

Subtracting with Negative Numbers (-4)=____ Take 4 negative counters away.

Subtracting with Unlike Signs 8- (-5) First you start with 8 positive counters. The sign tells us to take 5 negative counters away. Do you see any negative counters?

Subtracting with Unlike Signs 8- (-5) So we don’t change the value, we must put the same amount of positive charges Since there are no negative counters, we must place 5 negative counters. What is this value?

Subtracting with Unlike Signs 8- (-5)=___ Now Subtract. What is your answer?

Subtracting with Unlike Signs You Try! -4 – 6=____

Representing Subtraction with the Number Line -5 – 4=-9 \ 1 st : Start at 0 and extend arrow 5 units to the left 2 nd : Start endpoint at -5. Instead of moving to the right move to the left. 6-(-4)=____

Representing Subtraction with the Number Line -5 – 4=-9 \ 1 st : Start at 0 and extend arrow 5 units to the left 2 nd : Start endpoint at -5. Instead of moving to the right move to the left. You Try -7 – 2=____

Exit Ticket A student used the following elevations in a calculation: -Airplane height: 25,319 -Submarine depth: 874 feet below sea level The student said the distance between the two elevations was 24,445 feet. Why is the student’s calculation NOT correct? F. The student added a positive 25,319 and a positive 874 instead of subtracting a positive 874 from a 25,319. G.The student subtracted a positive 874 from a positive 25,319 instead of subtracting a negative 874 from a positive 25,319. H.The student added a positive 25,319 and a negative 874 instead of subtracting a positive 874 from a 25,319. J.The student subtracted a positive 874 from a negative 25,319 instead of subtracting a negative 874 from a positive 25,319.

Homeroom Instruction Come in quickly & quietly Go to your desk. Take out your AR book and read Raise your hand to ask to sharpen your pencil. Put your backpack underneath your desk. No talking.

Bellwork Day One A student used the following elevations in a calculation. Airplane height: 27, 128 feet above sea level Submarine depth: 956 feet below sea level The student said the distance between the two elevations was 26,172 feet. Why is the student’s calculation NOT correct? A.The student added a positive 27,128 and a positive 956 instead of subtracting a positive 956 from a 27,128. B.The student subtracted a positive 956 from a positive 27,128 instead of subtracting a negative 956 from a positive 27,128. C.The student added a positive 27,128 and a negative 956 instead of subtracting a positive 956 from a 27,128. D.The student subtracted a positive 956 from a negative 27,128 instead of subtracting a negative 956 from a positive 27,128. Answer: Why? Show Your Work:

Word of the Week Distributive property of addition: states that the product of a number and a sum is equal to the sum of the individual products of addends and the number. 3 ( 4 + 2)= 3(4) + 3(2)= 18 distributive property of multiplication over subtraction