Transcript Unit 2: Number Sense

Unit 2: Number Sense
Adding, Subtracting, Multiplying, and Dividing Integers
Number Sense Pretest
 Do not write on the test
 Bring out a sheet a paper. Label your name, period, and
date
 Fold paper in half. Show all your work on left side
 Write letter of multiple choice answer on right side
 Box your answers on the left side of the paper!!!
Do Now
Copy This!!!
1. Identify the following using the number line provided.
Positive Integers (PI)
Negative Integers (NI)
A number that is not considered a positive or negative number
2. Indicate if the example represents positive or negative integers (Write PI for positive integers and NI for negative
integers
Increase
Backwards
Decrease
Forward
3. Write an integer to represent each situation
10 degrees below zero
A loss of 16 dollars
A gain of 5 points
8 steps backwards
7NS1.2: Add, subtract, multiply, and divide rational numbers
(integers, fractions, and terminating decimals) and take positive
rational numbers to whole-number powers.
Objective: Huskies will be able to demonstrate how to add,
subtract, multiply, and divide positive/integers.
Vocabulary Terms
Integer: A _____________________ or, the
_______________________ of a whole number; zero is also an
____________________ and is neither positive nor negative.
Negative Integer: An integer that is _____________ than zero.
Positive Integer: An integer that is ______________ than zero.
Number Line: A straight line with a “__________” point in the
middle, with _______________and _________________ numbers
that are listed on either side of zero. This line goes on
__________________________.
Vocabulary Terms
Product: The result of _________________________.
Dividend: The amount to be ______________________.
Divisor: The amount by which a number is divided.
Quotient: The __________________of division.
**Helpful Hint: Remember the “+” or “-“ in front of a number
is attached to the number and acts as its sign.
Adding Integers with Different Signs
With integers, having more positives than negatives will
yield a positive answer; having more negative numbers than
positive will result in a negative answer.
+
+
+
+
+
+
+
+
+
=
+
+
+
+
+
+
+
+
Adding Integers with the Same Sign
When you add 2 numbers with the same sign, you get more
of what you have.
For example: Adding positives with more positives gives you
more positives. Adding negatives with negatives gives you
more negatives.
+
+
+
+
+
+
-
-
=
+
+
Steps for adding numbers with different signs:
Step 1: Find the sign of your final answer by identifying the
sign of the larger number.
Step 2: Subtract the smaller integer from the larger integer, and
apply the sign you found in step 1.
Lets Try!
*See worksheet Adding Positive and Negative Numbers
(pg.12)*(Section A: #3, 8) and (Section B: # 14, 27, 38)
Subtracting Positive Integers
When we subtract a smaller positive integer from a larger
positive integer, our answer is positive. (see above diagram)
large pos. #-small pos #=positive
When we subtract a larger positive integer from a smaller
positive integer, our answer is negative small pos. #-large pos
#=negative
+
Lets Try!
+
-
+
+
=
-
+
*See worksheet Adding Positive and Negative Numbers
(pg.13)* (Section A: #2, 4, 8, 20)
Subtracting Negative Integers
When we subtract a positive number from a negative integer,
our answer is negative
a. -10-1=-11
b. -17-5=-22
When we subtract a negative integer (-3) from a negative
integer (-7), we really add the integer’s opposite (+3). For
example -7-(-3)= -4
When we subtract a negative integer (-3) from a positive
integer (12), we really add the integer’s opposite (+3). For
example
12-(-3) =15
Lets Try!*See worksheet Adding Positive and Negative
Numbers (pg.13)* (Section B: #2, 5, 10, 11)
Multiplying Positive and Negative Numbers
The product of a negative and positive number is always a
______________________number.
-1*7=-7
The product of two positive numbers is always a
_________________________ number.
The product of two negative numbers is always a
____________________ number.
-1*-3=3
Lets Try!*See worksheet Adding Positive and Negative
Numbers (pg.14)* (Section A: #2, 10, 26, 67, 60)
Dividing Positive and Negative Numbers
To divide integers with different signs:
Step1: Ignore signs when you divide
Step2: Look at signs of dividend and divisor to
determine sign of quotient.
Step3: If one is positive and one is negative, the
quotient is negative.
-12÷4=
To divide 2 negative integers:
Step1: Ignore signs when you divide
Step2: Look at signs of dividend and divisor to
determine sign of quotient.
Step3: If both integers are negative, the quotient is
positive.
-90÷-9=
Lets Try! *See worksheet Adding Positive and Negative
Numbers (pg.15)* (Section a: #4, 14, 23, 39)
Station Time!!!
Stations
30 mins each
 Direct Station

Integers Jeopardy Game
 Collaborative Station

Integers Packet
http://www.mathplay.com/IntegersJeopardy/Integers-Jeopardy.html

Answer the questions in your
notes. I will call on you to check
on the answer. Keep track of your
$$$
Pg. 14 Section A: 15-60 odd
Pg. 12 Section B: odd #s
Section C: even #s
Pg. 13 Section A: odd #s
Section B: all
Pg. 15 Section A: even #s
Section B: all
Homework
 Moving Words Worksheet
 Show all your work
 Make sure you do the puzzle on the bottom of
the page