wednesday, january 22, 2014 “there comes a time when one must take a position that is neither...
TRANSCRIPT
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.
POTDYou 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”
The Corners of a square are its vertex/angles
When two lines cross, they make 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 are always the same distance apart. They will never touch.
“Enemy Lines”
Parallel Lines
Can you find the parallel lines?
Intersecting Lines
Intersecting lines are two lines that cross each other
“Friends”
Perpendicular Lines
Perpendicular lines are two lines that intersect to form right angles.
90
“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
PointLine
RayLine Segment
Perpendicular
IntersectingParallel
Types of AnglesRight angle - an angle with 90 degrees
Types of AnglesAcute angle - an angle between 0 – 90 degrees
Types of AnglesObtuse angle - an angle between 90 – 180 degrees
Types of AnglesStraight angle - an angle with 180 degrees in it.
ANGLES
When you “name” an angle. The vertex letter goes in the center of the label.
A
B
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
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 ____
Determine the types of angles that make up each shape.
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 FractionsPart 1John 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 2William 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.