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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

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,

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Page 1: 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,

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

Page 2: 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,

4.G.1

Drawing and identifying points, lines, angles, and rays

Page 3: 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,

Point

Point C

‘C’

C

Page 4: 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,

Line

Line YZ

YZ

Y

Z

Continues in 2 opposite directions without end

Page 5: 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,

Line SegmentA line with 2 end points

Page 6: 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,

Ray

Ray BC

BC

B

C

A line with one endpoint

Page 7: 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,

Intersect:When lines cross over one another

Page 8: 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,

Perpendicular Lines

Lines that make a 90° angle.

Line g⊥ Line f

g

f

Page 9: 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,

Perpendicular lines:

Can make a t or x shape!

Page 10: 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,

Parallel lines: -Two lines, equal distance apart that will never intersect- non-intersecting lines

Page 11: 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,

Acute Angle

Angles that measure less than 90°

Page 12: 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,

Right Angle

Angles that measure exactly 90°

2 perpendicular lines form a 90 angle

Page 13: 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,

Obtuse Angle

Angles that measure more than 90° but less than 180°

Page 14: 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,

Straight Angle

Angles that measure exactly 180°

Page 15: 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,

A Reflex Angle

Angles that measure more than 180° but less than 360°

Page 16: 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,

• How many acute, obtuse and right angles are in this shape?

Page 17: 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,

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

Page 18: 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,

• Which of the following triangles has only acute angles?

Page 19: 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,

Which line is parallel to AC ?

Page 20: 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,

Which part of this picture shows parallel lines?

Bird’s beakTrain tracksWheels of the train carsWorm

Page 21: 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,

• 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

Page 22: 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,

Which two straws appear to be perpendicular to each other?

Page 23: 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,

Name the angle:

Page 24: 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,

Name a street perpendicular and parallel to Wilmington Street

Page 25: 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,

What is the relationship between Wilmington and Hartford Streets?

Page 26: 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,

What line is perpendicular to DF?

Page 27: 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,

• Oliver drew the figure below to show light traveling from the Sun to Earth. Name the figure he drew

Page 28: 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,

• 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.

Page 29: 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,

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?

Page 30: 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,

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.

Page 31: 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,

CORE/WORKSHOP

4TH Grade Wiki Assignments

Page 32: 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,

Tuesday, April 22, 2014

POTDSolve for J ¾ x 4 = J

A. 12/16B. 4C. 3D. 3/16

Page 33: 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,

4.G.2

Sorting and Classifying

Page 34: 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,

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

Page 35: 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,

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.

Page 36: 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,

Which shape is in the wrong place? Explain!

At Least one Set of Parallel

Sides

At Least one Right Angle

Page 37: 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,

• Of these shapes, which have parallel sides?• Of these shapes, which have perpendicular

sides?

Page 38: 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,

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

Page 39: 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,

Classify the following shapes:

Parallel Lines Perpendicular Lines

BH

DF

C E G

A

I

J

Page 40: 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,

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

Page 41: 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,

• 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

Page 42: 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,

• Nolan drew a right triangle. How many acute angles did he draw?

Page 43: 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,

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

Page 44: 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,

Core/Workshop

4TH Grade Wiki Assignments

Page 45: 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,

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

Page 46: 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,

4.G.3

Symmetry

Page 47: 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,

• 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.

Page 48: 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,

Triangles

Triangles can have 3, 1, or 0 lines of symmetry

Page 49: 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,

Quadrilaterals

Trapezoid1 Line of Symmetry

TrapezoidNo Lines of Symmetry

ParallelogramNo Lines of Symmetry

Page 50: 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,

• 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?

Page 51: 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,

• 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?

Page 53: 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,

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

Page 54: 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,

Tell how many lines of symmetry each figure has

Page 55: 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,

CORE/WORKSHOP

4TH Grade Wiki Assignments

Page 56: 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,

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

Page 57: 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,

CORE/WORKSHOPComplete TenMarks Assignment http://www.tenmarks.com/

Page 58: 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,

CORE/WORKSHOP

Page 59: 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,

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?

Page 60: 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,

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!!!