Download jan20-24 geometry Unit week 1

Wednesday, January 22, 2014
“There comes a time when one must take a position that is
neither safe, nor politic, nor popular, but he must take it
because conscience tells him it is right.”-Martin Luther King Jr.
POTD
You have 56 objects in a jar.
•If your objects were pennies what would be the value of your
collection?
•If your objects were dimes what would be the value of your
collection?
•If your objects were one dollar bills what would be the value
of your collection?
•If your objects were ten dollar bills what would be the value
of your collection?
What do you notice about the value of your collections?
What pattern do you notice about the value of your
collections?
Geometry Vocabulary
Where do we see Geometry in the
real world? What jobs require the
use of Geometry?
Line
A line goes on and on in both directions. A
line is drawn with an arrow on each end
This is called a point!
When it’s at the end of a
line it is called an
endpoint!
Line Segment
A line segment is a part of a line. It is
drawn with two endpoints
VERTEX
• A VERTEX is a fancy name for “angle”
• Two rays or lines that have the same
endpoint make a VERTEX/angle
• VERTEX/angles are measured in “degrees”
When two lines
cross, they
make
vertex/angles
The Corners of a
square are its
vertex/angles
Ray
A ray goes on and on in one direction.
It is drawn with an arrow on one end
and an endpoint on the other.
Parallel Lines
Parallel lines are always the same
distance apart. They will never touch.
“Enemy Lines”
Can you find the parallel lines?
Intersecting Lines
Intersecting lines are two lines that
cross each other
“Friends”
Can you find the intersecting lines?
Perpendicular Lines
90
Perpendicular lines are
two lines that
intersect to form right
angles.
“Married”
Can you find the perpendicular
lines?
Perpendicular lines are also intersecting lines
because they cross each other.
Perpendicular lines are a
special kind of intersecting
lines because they always form
“perfect” right angles.
90
Name each figure
Point
Line
Ray
Line Segment
Perpendicular
Intersecting
Parallel
Types of Angles
Right angle
- an angle with 90 degrees
Types of Angles
Acute angle
- an angle between 0 – 90 degrees
Types of Angles
Obtuse angle
- an angle between 90 – 180 degrees
Types of Angles
Straight angle
- an angle with 180 degrees in it.
ANGLES
When you “name” an angle. The vertex letter
goes in the center of the label.
B
A
C
Angle ABC
Guided/Independent
What different ways can
we sort these shapes?
Math Club/ Fish Fraction Cards
• Put your Fish Fraction Cards in order from least to greatest on a
number line. Use a sentence strip and the benchmarks 0, ½, and 1 to
help you.
• Early finishers: Some fish are marked with a star…turn those fractions
to decimals 
Thursday, January 23, 2014
POTD
• There are 359 fourth graders in Smithville and
952 fourth graders in Wilson. Round to the
nearest hundred to answer how many
students are there total?
• How close was your answer to the actual
total?
• If you rounded to the nearest ten how close
would that estimate be to the actual total?
Homework Review
Draw a road map that includes at least 2 rays, 2
lines, and 2 line segments. Points- towns labeled by
letters
• Line segments- roads between towns with 2 end
points
• Rays- roads between towns with one end point
and one arrow
• Lines- roads between two towns with two arrows
• Angles- A figure formed by two rays, lines, or line
segments.
Angles
• Let’s practice making angles with our feet.
– Make a 90o angle with your ankle.
– Acute angle: by pulling your toes up toward your shin.
– Obtuse angle: by pointing your toes and stretching
them away from your shin.
• In the real world angles are embedded within
objects. Look around the room and find angles.
Making Angles/Guided
• Get into groups of 3.
• Using a piece of string, you will make various angles.
– 1st start with an angle of 180 degrees (a straight angle), in which 1 student
holds each end, and the middle student holds the string and is the vertex of
the angle.
– ONE STUDENT MOVES GRADUALLY to decrease the size of the angle, stopping
when they feel like they have an obtuse angle, a right angle, an acute angle,
and an angle of 0 degrees.
• As you work, record in your math notebook:
–
–
–
–
–
–
A drawing of an angle that has 0 degrees
A drawing of three different acute angles
A drawing of a right angle
A drawing of three different obtuse angles
A drawing of a straight angle
A sentence explaining about how moving the string changed the measure of
the angle.
– What do you notice as you move the string?
– Why does the angle change when we just move one piece of the string?
Sorting Angles/Independent
Determine the types of angles that make up each shape.
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Right ____
Obtuse ___
Acute ____
Independent
Cont’d
Determine if the angle listed is
Obtuse, Acute, Right or Straight.
**Use for homework or morning work tomorrow if you don’t get to this. 
Math Club/ Decimal War
• Divide the deck of cards between you and your partner. Leave the
decks face down.
• Each player will turn over a card and record their decimal on the
“Decimals to Fractions” recording sheet. (shade/decimal/fraction
form/simplified* if necessary)
• Compare which partner has the greatest decimal…that person will
keep both cards.
• You can record your partner’s decimal on top of the grid for each
round.
Friday, January 24, 2014
POTD
Find 3 examples of right, acute, obtuse and
straight angles around the room. Take a “right
angle” edge of paper to help you measure.
Homework
Review
Using Protractors
• Video: Measuring Angles Less than 180°
–
http://go.WebVideoPlayer.com/view/0jZSV2TBNpkdweY96IKW
• Protractor Notes:
–
http://www.studyzone.org/testprep/math4/d/protractorl.cfm
Friday Guided
Remember
to use
reasoning
when
determining
whether to
look at the
inner scale or
outer scale…
Determine if
the angle is
acute, obtuse,
right or
straight.
Use a
protractor to
get the exact
measurement.
Math Club/Chocolate Bar Fractions
Part 1
John is giving out chocolate to his friends. If he wants to
give each friend 2/3 of a chocolate bar and he has 13
friends, how many chocolate bars will he need to buy? Use
words, a model AND an equation to JUSTIFY your answer.
Part 2
William buys 4 chocolate bars and each bar weighs ¼
pound. Mary buys 2 chocolate bars and each one weighs ½
pound. William claims that the chocolate weighs the same
amount. Mary disagrees. Who is correct? Use words, a
model AND an equation to JUSTIFY your answer.