Monday, April 21, 2014
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Transcript of Monday, April 21, 2014
Monday, April 21, 2014
POTDAt 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 poundB. More than 2 poundsC. Exactly one poundD. Between one pound and two pounds
4.G.1
Drawing and identifying points, lines, angles, and rays
Point
Point C
‘C’
C
Line
Line YZ
YZ
Y
Z
Continues in 2 opposite directions without end
Line SegmentA line with 2 end points
Ray
Ray BC
BC
B
C
A line with one endpoint
Intersect:When lines cross over one another
Perpendicular Lines
Lines that make a 90° angle.
Line g⊥ Line f
g
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 segmentsd. 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 beakTrain tracksWheels of the train carsWorm
• 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
POTDSolve for J ¾ x 4 = J
A. 12/16B. 4C. 3D. 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!
At Least one Set of Parallel
Sides
At Least one Right Angle
• 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
Two Sets of Parallel Sides
A B C
EF
D
G H I
Classify the following shapes:
Parallel Lines Perpendicular Lines
BH
DF
C E G
A
I
J
Test Prep• If Joey is asked to name a quadrilateral that is also a rhombus, what
should be his answer?a. Squareb. Rectanglec. Parallelogramd. Trapezoid
• Which capital letter appears to have parallel line segments?a. Db. Lc. Nd. T
• Which quadrilateral has exactly one pair of parallel sides?a. Squareb. Rhombusc. Parallelogramd. 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. NB. OC. TD. V
• Nolan drew a right triangle. How many acute angles did he draw?
Triangle SortingAcute Equilateral
Acute Isosceles
Acute Scalene
Obtuse Equilateral
Obtuse Isosceles
Obtuse Scalene
Right Equilateral
Right Isosceles
Right Scalene
D
F
E
B
A
C
Core/Workshop
4TH Grade Wiki Assignments
Wednesday, April 23, 2014
POTDInchantis has 20/100 blue marbles and 6/10 red marbles. How many blue and red marbles does Inchantis have?A. 26/10B. 26/100C. 4/5D. 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
Trapezoid1 Line of Symmetry
TrapezoidNo Lines of Symmetry
ParallelogramNo 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 triangleWould 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?
ABCDEFGHIJKLMNOPQRSTUVWXYZ
Tell how many lines of symmetry each figure has
CORE/WORKSHOP
4TH Grade Wiki Assignments
Thursday, April 24, 2014
POTDKaitlyn 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. 1/3B. 3/10C. 6/16D. ½
CORE/WORKSHOPComplete TenMarks Assignment http://www.tenmarks.com/
CORE/WORKSHOP
Friday, April 25, 2014
POTDThe 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!!!