Transcript File

Time
 Brother
Gerbert – 966 A.D.
 Invented a simple mechanism that rang
bells at regular intervals throughout the
day to call his brethren to prayer.
 Simple
Clocks that rang every hour (with
no hands or minutes) – 13th century
 The
hour glass – 14th century
 How
do we keep time?
Watch (digital and analog)
Stop watch
The sun
T.V. shows
Timer on the oven
 Time
• Hour (hr. or h) - a measurement of time
that contains 60 minutes. There are 24
hours in a day.
• Minute (min.) - contained within an hour.
There are 60 minutes in an hour.
 Elapsed
Time
• Elapsed time is the time it takes for an event to
occur.
Example: While you brush your teeth, time elapses
so that when you are done it is not the same time it
was when you started.
(Unless you have a time stopper watch!)
 Sir
Alweighs Lait from the castle of Early
Risers has over slept again. He was supposed
to wake up at 6:00 A.M. Instead he woke up at
7:15 A.M. He must take a shower (20 min.), get
dressed (5 min.), brush his teeth (3 min.),
comb his hair (20 min.), and travel to the
breakfast banquet (15 min.). Does he have
enough time to make it to breakfast, if
breakfast begins at 7:30 A.M. and ends at 8:00
A.M.?
-White Board-
Beginning time:
Shower
Dress
Brush teeth
Hair
Travel
1 hr and 3 min.
7:15 A.M.
20 min.
5 min.
3 min.
20 min.
+15 min.
63 min.
-White Board-
7 :
1 hr.
8 :
15 A.M.
3 min.
18 A.M.
 A.M. (Ante
Meridiem- “before midday”)
 P.M. (Post Meridiem – “after midday”)
• 12:00 A.M. (dark or light outside?)
 12:00 A.M. is the one before midday (lunch time) and is
therefore the one in the middle of the night!
 If
it is 11:00 A.M. and Lady Takesalongtime
Togetready is going to bathe (40 min.), try on
three dresses before deciding on one (30
min.), brush her hair (1hr.), and brush her
teeth (1 min.), when will she leave for the ball?
-White Board-
Beginning time:
Shower
Dress
Hair
1 hr
Brush Teeth
11:00 A.M.
40 min.
30 min.
=
60 min.
+ 1 min.
131 min
131÷60 = 2 hr.
11 min.
-White Board-
11 :
2 hr.
13 :
00 A.M.
11 min.
11 A.M.
1
11
:
(Fantastic!)
P.M.
 After
discussion on elapsed time,
students in groups of 4-5 will determine
the best route for Sir Pathun Known to
take on a journey based on a diagram of
the different routes and how long each
route will take him. They will also give
destination time of the different routes
after being given that he leaves at 5:00
A.M. in each scenario. (V, A) (Obj. 1)
Angles
What
How
is a catapult?
was it used in the
Middle Ages?
What
is an angle?
• An angle is a shape, formed by two
lines or rays diverging from a
common point (the vertex).
• How do we tell different angles
apart?
- White Board -
- White Board -
- White Board -
Angle
Angle
oDegree
A measure of an angle.
There are 360 degrees in a circle.
One degree is one 360th part of a full
circle.
- White Board -
30
100
 Types
of Angles:
• Right – exactly 90 degrees.
90
 Types
of Angles:
• Acute – less than 90 degrees.
0 < Acute Angle < 90
30
 Types
of Angles:
• Obtuse – more than 90 degrees.
90 < Obtuse Angle < 180
100
 Types
of Angles:
• Straight – exactly 180 degrees.
 Types
of Angles:
• Reflex – more than 180 degrees.
180 < Reflex < 360
 Types
of Angles:
• What is an angle with 360 degrees?

So What!?
Use of Angles in the real world:
Pilots
Carpenter
Use of Angles in the Middle Ages:
Catapults!
Catapults in the Middle Ages
At
what angle should the
catapult be launched to
achieve the greatest
distance and power?
 http://www.officegamespot.com/flashga
mes/crush-the-castle.htm
Create your own catapult.
Congruent and Similar Shapes
What
did castles look like in the
Middle Ages?
 Shapes
can be
Congruent OR
Similar
 The
problem King Trustany Won faced.
• King Trustany Won decided that it was time to build a new
castle in his kingdom. Immediately he brought in the
best castle designers from all over and came up with a
design. All that was left was to buy the material. The King
brought in a cunning brick salesmen who asked the King
whether he wanted to buy bricks “Congruent” with the
bricks in the designs or “Similar” to the bricks in the
design. The King being confused with the words ordered
Congruent bricks… was this a good or bad decision?
Congruent:
• The same exact shape, size, and/or
angle.
• Congruent shapes are exactly the same. They
may not be facing the same direction, but
every measurement of the sides is the same,
and every angle is the same.
Similar:
• The same shape or angle, but
smaller or larger in size.
Guided Practice:
After discussion on congruent and similar
shapes, students will work in groups of 45 to make miniature castles from
congruent and similar shapes (each
group will be given a shape such as
square, triangle, rectangle, and be
required to make a model castle with
only that shape.) (A, V, T/K) (Obj. 3)
Independent Practice:
After completing discussion and inclass activity, students will construct a
castle as a group or individual using
congruent and similar shapes to be
presented in class six school days
following assignment being presented.
(A, V, T/K) (Obj. 3)