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Adding and Subtracting basic Integers. Grade 3. The layout. 3 rd grade Arizona State Standards 3.OA.8 3.MP.1, 3.MP.2, 3.MP.4, 3.MP.5 3.NBT.2 Part 1: The Intro Part 2: Do it together Part 3 : Bringing it back Question of the Day: - PowerPoint PPT Presentation
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Adding and Subtracting basic
Integers
Grade 3
The layout3rd grade Arizona State Standards
3.OA.83.MP.1, 3.MP.2, 3.MP.4, 3.MP.5
3.NBT.2
Part 1: The IntroPart 2: Do it together
Part 3: Bringing it back
Question of the Day: How can you use integers and number lines to solve equations?
Part 1:The Intro
What is an integer?
• Integers are any whole number named on a number line. (0,1,2,3).
• They also include numbers that are less than zero called Negative numbers which look like; -1, -2, -3.
• Integers do not include fractions or decimals.• Negative numbers are numbers that we will discuss
at another time but are important to acknowledge.
Using a number line
• To help understand integers we have used a variety of tools in the past, counting cubes, fingers, dots cards, hundred charts and number lines.
• Today we will use the number line to help solve our equations.
Number linesUsing a number line helps show how positive and
negative integers interact in order to solve an equation. For example: the equation 465- 33= x
465 is where we would start on the number line-33 is the integer we are taking away
X is the integer we are solving for
• Seeing this equation on a number line helps us to understand that by taking away 33, the difference is closer to the 0 point on the number line.
So what does that all mean?
http://www.slimber.com/index.php?image=integers-subtraction.g66435
(Hit play to watch)
When subtracting positive integers on a
number line, we move from the larger number
(minuend) and count back the number given
(subtrahend) to arrive at the difference.
Here is an example using subtraction an open number
line.
When adding positive integers on a number
line, we move from one number (addend) and
count forward the other number given (addend)
to arrive at the sum.
Here is an example using addition an open number
line.http://www.slimber.com/index.php?image=adding-integers.g66474
(Hit play to watch)
Moving closer to zeroWhen we subtract positive
integers from one another we are moving closer to zero on the
number line.Think of using a thermometer to
find the temperature:As the weather gets cooler the reading on the thermometer
becomes lower, closer to zero. As it gets warmer the reading moves up, away from zero. Just like integers
on a number line.
Part 2:Do it together
Try these….
Create an open number line to solve the following
equations:
a. 829 - 56= ____b. 1,125 - 251= ____c. 73 + 320= _____
d. 2,332 + 171= _____
How did you do?
a. 773b. 874c. 393
d. 2,503
Work it out
773 803 823 829
- 6-20- 30
1,1251,025900 925875874-100-100-25-25-1
73+20
93+100 +100+100
193 293 393
2,332+100
2,432+70
2,502+1
2,503
Part 3:Bringing it Back
What do you know about integers?
• Integers are whole numbers• They can be positive or
negative numbers• Integers can be used on a
number line• Adding moves the sum away
from zero• Subtracting moves the
difference closer to zero• Integers are not fractions or
decimals
Fun with IntegersCan you figure out
their mistakes?
http://teachertube.com/viewVideo.php?title=Abbot_and_Costello_Maths_Problem&video_id=3963
Finally!
Can you answer the Question of the day?
Question of the Day: How can you use integers and number lines to
solve equations?