Transcript video tornado

Lesson 5.1.1
Modeling Addition with Number Lines and Integer Tiles
Today’s Lesson
• When working math problems, it is important
to understand the meaning behind the math.
In other words… why does it work?
• Today, we will solve addition and subtraction
problems and will learn how to justify our
answers using a number line and integer tiles.
Why Learn?
• Before we start our lesson, let’s take a look at
how storm chasing can lead to an
understanding of modeling addition on a
number line!
Storm Chasing…
Storm chasing is broadly defined as
the pursuit of any severe weather
condition, regardless of motive, which
can be curiosity, adventure, scientific
investigation, or for news or media
coverage. A person who chases storms
is known as a storm chaser.
The single most biggest objective for most
storm chasers is to witness a tornado!
Meteorology major Reed Timmer and his team are by far some of the biggest storm
chaser dare devils out there. They were a part of the hit show on the Discovery Channel
called, “Storm Chasers”. They have documented hundreds of tornados!
Besides hurricanes, tornadoes are the most dangerous storms nature can throw at us.
They can destroy entire buildings and cause thousands of injuries or deaths. Most people
who live in areas susceptible to these storms keep a close eye on weather reports and
take cover or evacuate when one is on the way. Storm chasers keep an even closer eye
on weather data, but for a different reason. When a tornado happens, they want to be
there to observe and record it!
There are some really good reasons for
chasing storms – mainly, scientific
research, though a few people make a
living selling photographs or footage of
storms.
There are also several reasons
why amateurs shouldn't go
storm chasing, no matter how
fun it looks. For one thing, the
eight to 12 hours spent driving
around with no guarantee of
actually seeing a tornado is
anything but exciting. But also,
storms are very dangerous.
Professional storm chasers have
meteorological training that
allows them to understand the
storms they're chasing. They
know when conditions are safe
and when it's time to back off.
They also learn by chasing with
other experienced storm chasers.
Amateurs should never chase
storms. Ever.
Even experienced
storm chasers like Reed
Timmer can get hurt.
or killed!
Most of us would be heading in the opposite direction……
Not true for storm chasers!
More images!
Meteorologist and extreme storm chaser, Reed
Timmer, captured this stunning tornado in
Oklahoma in 2007 on a low-precipitation storm.
Their vehicle is called “The Dominator” . It can
withstand a direct hit from up to a level 3 tornado!
More images!
Their website
Reed’s fiancée, Maria Molina is a weather
reporter and likes to chase in her spare time!
Real World Application
Most storm chasers don’t like to chase in Mississippi
because the trees make tornados hard to spot. However,
Reed Timmer goes where the tornados are!
Storm chaser Reed Timmer and his team are in the middle
of a tornado outbreak near Tupelo, Mississippi. A weather
radar has lead them down a country road. After stopping at
a stop sign, they drive 2 miles down the road when they
come across some debris in the road. They backup ¼ mile
stop and begin to clear the debris. They then travel 3 more
miles when they see a tornado straight in their path! They
put their vehicle in reverse and travel ¾ of a mile to escape
the tornado, yet still continue to film the event. When all is
safe they drive another 2 miles to a local gas station where
they stop and view their video footage. Use the number
line to describe their adventure!
A rough 6 miles ahead!
Previously we learned that …
 INTEGERS are the set of whole numbers
and their negatives.
(…-3, -2, -1, 0, 1, 2, 3…)
 Positive integers are to the right of zero on the number
line and negative integers are to the left of zero.
 Integers DO NOT include fractions or decimals!
Today, we are going to explore what happens when
integers are added or subtracted.
We will use modeling in our exploration.
 Number Lines
 Integer Tiles
Your Task…
We will work 10 problems. Each
problem will include modeling with a
number line and modeling with
integer tiles.
These 10 problems are on your
student notes. Follow along and
get ready to model!
Modeling
Addition and Subtraction
Number Line
10
1) Solve: 7 + 3 = ____
7 + 3
7 moves
forward
7
+ 3
3 moves
forward
Let’s stack these up and look for patterns!
Do the two numbers (7 and 3) have the same signs or different signs?
What do you notice about the direction of the two arrows on the
number line?
Modeling
Addition and Subtraction
Integer Tiles
We will now work the same problem, but this time we will
use integer tiles to represent our numbers.
Something to remember:
Opposite quantities combine
to make 0. Let’s take a look!
10
1) Solve: 7 + 3 = ____
7
7 positives
+
3
3 positives
2) Solve: ─7 + 3 = ____
─4
─7 + 3
7 moves
backward
3 moves
forward
− 7
+ 3
Let’s stack these up and look for patterns!
Do the two numbers (7 and 3) have the same signs or different signs?
What do you notice about the direction of the two arrows on the number line?
2) Solve: ─7 + 3 = ____
─4
─7
7 negatives
Opposite quantities
combine to make zero!
+
3
3 positives
─8
3) Solve: ─ 6 ─ 2 = ____
Still having trouble?
Imagine your pencil is
the car! Always start at zero with
your pencil facing the positives.
SAME SIGNS = SAME DIRECTION
─6
─2
─6 ─ 2
6 moves
backward
2 moves
backward
3) Solve: ─ 6 ─ 2 = ____
─8
─6 ─ 2
6 negatives
2 negatives
Your turn to practice…
• Take sixty seconds to try problem #4 on your own.
1 Minute
4) Solve: 3 ─ 7 = ____
─4
DIFFERENT SIGNS = DIFFERENT DIRECTIONS
3
─ 7
3 ─ 7
3 moves
forward
7 moves
backward
─4
4) Solve: 3 ─ 7 = ____
3 ─ 7
3 positives
Opposite quantities
combine to make zero!
7 negatives
You got this…
• Take sixty seconds to try problem #5 on your own.
Face your
pencil
towards the
positives!
1 Minute
5) Solve: 8 ─ 5 = ____
3
DIFFERENT SIGNS = DIFFERENT DIRECTIONS
8
─ 5
8
8 moves
forward
─ 5
5 moves
backward
3
5) Solve: 8 ─ 5 = ____
8 ─
8 positives
Opposite quantities
combine to make zero!
5
5 negatives
Try the rest of the problems on your own!
• There are five so I will give you 5 minutes.
We will go over them together.
5 Minutes
─1
6) Solve: ─ 6 + 5 = ____
DIFFERENT SIGNS = DIFFERENT DIRECTIONS
─ 6
+ 5
─6 + 5
6 moves
backward
5 moves
forward
-1
6) Solve: ─ 6 + 5 = ____
─6
6 negatives
Opposite quantities
combine to make zero!
+ 5
5 positives
5
7) Solve: ─ 4 + 9 = ____
DIFFERENT SIGNS = DIFFERENT DIRECTIONS
─ 4
+ 9
─4 + 9
4 moves
backward
9 moves
forward
5
7) Solve: ─ 4 + 9 = ____
─4
4 negatives
Opposite quantities
combine to make zero!
+
9
9 positives
7
8) Solve: ─ 1 + 8 = ____
DIFFERENT SIGNS = DIFFERENT DIRECTIONS
─ 1
+ 8
─1
1 move
backward
+ 8
8 moves
forward
8) Solve: ─ 1 + 8 = ____
7
─1 +
1 negative
Opposite quantities
combine to make zero!
8
8 positives
10
9) Solve: ─ 9 ─ 1 = ─
____
SAME SIGNS = SAME DIRECTION
─ 9
─ 1
─9 ─ 1
9 moves
backward
1 moves
backward
9) Solve: ─ 9 ─ 1 = ____
─ 10
─9
9 negatives
─ 1
1 negative
2
10) Solve: 4 ─ 2 = ____
DIFFERENT SIGNS = DIFFERENT DIRECTIONS
4
─ 2
4 ─ 2
4 moves
forward
2 moves
backward
2
10) Solve: 4 ─ 2 = ____
4 ─ 2
4 positives
Opposite quantities
combine to make zero!
2 negatives
End of PowerPoint