Unit 1Number Sense and Operations

Ms. Desmarais

DO NOW…You meet a Genie who grants you three wishes. Your first wish is to get all A’s on your math tests. Your 2nd wish is never to get homework again and finally your third wish is to receive money. The Genie offers you two choices. Which choice will you make and explain? .125 or 125

Learning Target: I can write numbers in different forms.

•

Read the article about the Great Pyramids in Egyptand fill in the blankson your guided notes.

Whole Numbers to Trillions

Whole Numbers are counting numbers and zero.

0,1,2,3,4,5 and so on……………

“No Fractions”

Counting Numbers

• Counting Numbers are Whole Numbers, but without the zero. Because you can't "count" zero.

So they are 1, 2, 3, 4, 5, …(and so on).

Place Value• Our Number System is based on ten.

Using only ten symbols (called Digits) we can write any number.

• A place-value table shows each digit’s value.

What’s Your Number?Materials:3 diceRecording sheet

1. Roll the 3 dice.2. Arrange all three in order to make 6 different numbers.

e.g. 326, 263, 632, 362, 236, 623.3. Record your numbers as in the example above.4. Order your numbers from least to greatest.5. Show your numbers using· pictures· standard notation· expanded form

Number Line

This basket has balloons and weights tied to it:

The balloons pull up ____________

And the weights drag down __________

Number Line

USING THE NUMBER LINE TO ADD5 + 3 =

Number Line

USING THE NUMBER LINE TO SUBTRACT6 – 5 =

Number Line

THE NUMBER LINE IS GREAT TO ADDNEGATIVE NUMBERS -3 + 2 =

Number Line

THE NUMBER LINE IS GREAT TO SUBTRACT NEGATIVE NUMBERS

-3 - 2 =

Rational Numbers

• A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio).

1.5 is a rational number because 1.5 = 3/2 (it can be written as a fraction)

Irrational Numbers

• An Irrational Number is a real number that cannot be written as a simple fraction.

• Irrational means not Rational

Absolute Value

Absolute Value means how far a number is from zero:

"6" is 6 away from zero,and "−6" is also 6 away from zero.

So the absolute value of 6 is 6,and the absolute value of −6 is also 6

Absolute Value

No Negatives!So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).

Absolute Value SymbolTo show that we want the absolute value of something, we put "|" marks either side (they are called "bars" and are found on the right side of a keyboard), like these examples:

|−5| = 5 |7| = 7

Level One CheckingI consider a "level one check" to be the lowest level of checking your work (but better than nothing). After completing your test or assignment, you return to the beginning and check to be sure that you have answered every question. Basically, you are checking to see if you skipped anything. It is quick and takes little thought, but might be the right choice in certain situations, like if you are running out of time.

Level Two CheckingWhen you check your work at level two, you return to the beginning of your test or assignment and you reread the first question. You then look at your answer and see if it makes sense. If it does, you move on and do the same for the rest of the questions. If it doesn't, you work the problem again to try to find your error. With level two, you really keep your brain turned on. It helps eliminate those "silly" mistakes.

Level Three CheckingChecking your work at level three is like a full attack. This is when you read each question again and rework the problem. You then compare your answer to your first attempt to see if you got the same thing. This takes a lot of time and mental stamina, but might be appropriate for certain sections, like a problem with multi-digit addition or subtraction.

Managing a Checking Account

• Objective:Students will learn how to manage a checking account which is a skill that can be tremendously important in everyday life. • Learning Target:I can write:

– checks, – deposit slips,– withdrawal slips and a– check register (ledger)Using Rational numbers and Integers

LEARNING TARGET: I CAN ADD AND SUBTRACT INTEGERS

• How is money produced originally?

• What are some of the reasons that people use banks?

• What are some examples of how money changes hands in our

society?

BANKS AND YOU

TASK 1

ANSWER THE FOLLOWING QUESITONS IN COMPLETE SENTENCES. THIS WILL BE IN DRAFT FORM.

1.) EXPLAIN WHAT A BANK DOES AND HOW A BANK IS HELPUFUL TO PEOPLE?

2.) EXPLAIN THE DIFFERNECE BETWEEN CREDIT AND DEBIT ON A CHECK REGISTER.

CREDIT VS. DEBIT

DEPOSIT MONEYPOSITIVE (+)

WITHDRAWL MONEYNEGATIVE (-)

THE CYCLE OF MONEY

INTEGERS AND CHECK REGISTERS IN EVERY DAY LIFE

• CHECK REGISTERS ALLOW YOU TO TRACK YOUR DEPOSITS AND WITHDRAWALS.

• IT IS IMPORTANT TO REGISTER YOUR ACIVITY AND MAKE ACCURATE CALCULATIONS.

TASK 2

YOU OPENED A CHECKING ACCOUNT. USE THE CHECK REGISTER TO RECORD YOUR BANKING ACTIVITY. BE SURE TO CHECK YOUR WORK CAREFULLY.

Adding and Subtracting Decimals

Step 1: Line up the decimal points in the numbers.

Step 2: Add zeros to the right of any placeholder as needed.

Step 3: Beginning in the lowest place value beginadding or subtracting from right to left.

Step 4: Bring down the decimal.

Reteach Comparing and Ordering Integers