Monday, April 21, 2014
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Transcript Monday, April 21, 2014
Monday, April 21, 2014
POTD
At the grocery store, Mr. West bought 3 types of cheese. He
bought ½ a pound of Swiss cheese, ¼ a pound of American
cheese, and ¼ a pound of Pepperjack cheese.
What best describes the amount of cheese Mr. West bought?
A. Less than a pound
B. More than 2 pounds
C. Exactly one pound
D. Between one pound and two pounds
4.G.1
Drawing and identifying points, lines,
angles, and rays
Point
C
Point C
‘C’
Line
Continues in 2 opposite directions without end
Z
Y
Line YZ
YZ
Line Segment
A line with 2 end points
Ray
A line with one endpoint
C
B
Ray BC
BC
Intersect:
When lines cross over one another
Perpendicular Lines
f
g
Lines that make a 90° angle.
Line g⊥ Line f
Perpendicular lines:
Can make a t or x shape!
Parallel lines:
-Two lines, equal distance apart that
will never intersect
- non-intersecting lines
Acute Angle
Angles that measure less than 90°
Right Angle
Angles that measure exactly 90°
2 perpendicular lines form a 90 angle
Obtuse Angle
Angles that measure more than 90° but less
than 180°
Straight Angle
Angles that measure exactly 180°
A Reflex Angle
Angles that measure more than 180° but less than
360°
• How many acute, obtuse and right angles are
in this shape?
This picture is made mostly of which of the following
a. obtuse angles and diagonal line segments
b. right angles and circles
c. acute angles and intersecting line segments
d. right angles and straight line segments
• Which of the following triangles has only
acute angles?
Which line is parallel to AC ?
Which part of this picture shows
parallel lines?
Bird’s beak
Train tracks
Wheels of the train cars
Worm
• Which of the following times on the face of a
clock show an hour hand and a minute hand
that are perpendicular?
• 10:00 and 2:00
• 3:00 and 6:00
• 3:00 and 9:00
• 4:00 and 8:00
Which two straws appear to be
perpendicular to each other?
Name the angle:
Name a street perpendicular and
parallel to Wilmington Street
What is the relationship between
Wilmington and Hartford Streets?
What line is perpendicular to DF?
• Oliver drew the figure below to show light
traveling from the Sun to Earth. Name the
figure he drew
• The time on Evan’s watch reads 6:00. What is the
measure of the angle made by the hour and minute
hand?
• The hands on a clock show the time as 3:00. How can
you classify the angle formed by the hands?
• Marcus drew a straight line. How can he classify the
angle?
• The hands of a clock show 12:25. What best describes
the angle between the hands of a clock.
GUIDED
• What series of commands would produce a square?
How many degrees are the angles? What is the
measure of the resulting angle?
• What would be the commands for an equilateral
triangle? How many degrees are the angles? What is
the measure of the resulting angle?
• Draw two different types of quadrilaterals that have
two pairs of parallel sides?
• Is it possible to have an acute right triangle? Justify
your reasoning using pictures and words.
• How many acute, obtuse and right angles are in this
shape?
GUIDED
• Draw and list the properties of a
parallelogram.
• Draw and list the properties of a rectangle.
– How are your drawings and lists alike?
– How are they different?
• Cara drew three line segments. Two line
segments share the same endpoint. The third
line segment is parallel to the first line
segment and intersects the second line
segment.
– Make a drawing similar to the one Cara drew.
CORE/WORKSHOP
4TH Grade Wiki
Assignments
Tuesday, April 22, 2014
POTD
Solve for J
¾x4=J
A.
B.
C.
D.
12/16
4
3
3/16
4.G.2
Sorting and Classifying
Shape Properties
• Parallelogram-Four-sided shape with two sets of parallel sides and
opposite sides congruent
• Square-Four sided shape with all sides equal and opposite sides parallel
• Rectangle-four-sided shape with opposite side’s equal lengths and
parallel
• Rhombus- Four Sided shape with all sides equal length and opposite
sides are parallel; no right angles
• Kite is a quadrilateral whose four sides can be grouped into two pairs of
equal-length sides that are beside (adjacent to) each other
• Trapezoid- A quadrilateral with exactly one pair of parallel sides.
• Equilateral Triangle-Three sided shape with 3 equal length sides and
equal angles inside
• Isosceles Triangle- Three sided shape with two equal length sides
• Right Angle Triangle- three sided shape with a right angle
• Scalene Triangle-A three sided shape with all sides different lengths
Discussion Topics
• According to the definition of a trapezoid, a
parallelogram cannot be a trapezoid. Explain why.
• Explain why a rectangle is ALWAYS a parallelogram.
• Explain why all squares are quadrilaterals.
• Explain why a trapezoid may not be a
parallelogram.
• Explain why all squares are rectangles, but not all
rectangles are squares.
Which shape is in the wrong
place? Explain!
• Of these shapes, which have parallel sides?
• Of these shapes, which have perpendicular
sides?
Sort the Following Shapes into the Venn
Diagram
One set of
perpendicular
lines
A
E
D
C
B
F
Two Sets of
Parallel Sides
G
H
I
Classify the following shapes:
Parallel Lines
Perpendicular
Lines
A
D
I
B
C
H
E
G
J
Test Prep
• If Joey is asked to name a quadrilateral that is also a rhombus,
what should be his answer?
a.
b.
c.
d.
Square
Rectangle
Parallelogram
Trapezoid
• Which capital letter appears to have parallel line segments?
a.
b.
c.
d.
D
L
N
T
• Which quadrilateral has exactly one pair of parallel sides?
a.
b.
c.
d.
Square
Rhombus
Parallelogram
Trapezoid
• Stephen drew this triangle. How many obtuse
angles does the triangle have?
• Joan was asked to draw a right triangle. How
many right angles are in a right triangle?
• Which capital letter appears to have
perpendicular line segments?
A.
B.
C.
D.
N
O
T
V
• Nolan drew a right triangle. How many acute
angles did he draw?
Triangle Sorting
Acute
Equilateral
Acute
Isosceles
Acute
Scalene
Obtuse
Equilateral
Obtuse
Isosceles
Obtuse
Scalene
Right
Equilateral
Right
Isosceles
C
D
B
F
Right
Scalene
Core/Workshop
4TH Grade Wiki
Assignments
Wednesday, April 23, 2014
POTD
Inchantis has 20/100 blue marbles and 6/10 red
marbles. How many blue and red marbles does
Inchantis have?
A. 26/10
B. 26/100
C. 4/5
D. 8/100
4.G.3
Symmetry
• Symmetric figures are figures that can be
folded to make two halves that are congruent
(same) to each other
• The lines that divide a symmetric figure into
congruent halves are called lines of symmetry
• This square has 4 lines of symmetry. If you
fold the square, the two halves will lie on top
of each other.
Triangles
Triangles can have 3, 1, or 0 lines of symmetry
Quadrilaterals
Trapezoid
1 Line of Symmetry
Trapezoid
No Lines of Symmetry
Parallelogram
No Lines of Symmetry
• Regular Polygon- a shape with 2 or more
EQUAL sides (square, pentagon, hexagon)
• The number of lines of symmetry of a regular
polygon is always the same as the number of
edges.
An Equilateral triangle
Would have how many
lines of symmetry?
A regular octagon would
have how many lines of
symmetry?
A regular hexagon would
have how many lines of
symmetry?
• Irregular Polygon- a shape with 2 or more
sides that are not equal (rectangle, isosceles
triangle)
A rectangle would have how
many lines of symmetry?
An isosceles triangle
would have how many
lines of symmetry?
DID YOU KNOW???
Polygons with an odd number of sides (triangle,
pentagon) have lines of symmetry that goes
from midpoint of a side through a vertex.
Lines of Symmetry in Letters
• Which letters have a line of symmetry? If there is
a line of symmetry, how many can you find?
ABCDEFGHIJKLMNOPQR
STUVWXYZ
Tell how many lines of symmetry each
figure has
CORE/WORKSHOP
4TH Grade Wiki Assignments
Thursday, April 24, 2014
POTD
Kaitlyn and Austin went swimming. Austin swam
3/8 of a mile, but Kaitlyn swam a greater distance.
What is one possibility of Kaitlyn’s swimming
distance?
A. 1/3
B. 3/10
C. 6/16
D. ½
CORE/WORKSHOP
Complete TenMarks Assignment
http://www.tenmarks.com/
CORE/WORKSHOP
Friday, April 25, 2014
POTD
The West Virginia University attendance for
2011 Homecoming game was 32,191 people. In
2012, the attendance was 9,291 greater than
the attendance in 2012.
What is the combined attendance for the 2011
and 2012 Homecoming games?
What is the combined total rounded to the
nearest thousand?
Quiz Time
Today you will complete your Geometry quiz.
Take your time. If you feel good about this quiz,
then you know you are ready to accurately
complete this portion of the EOG
As always, CHECK YOUR WORK!!!