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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? Less than a pound More than 2 pounds
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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? • Less than a pound • More than 2 pounds • Exactly one pound • 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
Perpendicular Lines f g Lines that make a 90° angle. Line g⊥ Line f
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°
This picture is made mostly of which of the followinga. 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 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
Name a street perpendicular and parallel to Wilmington Street
What is the relationship between Wilmington and Hartford Streets?
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 ¾ x 4 = J • 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! At Least one Right Angle At Least one Set of Parallel Sides
Of these shapes, which have parallel sides? • Of these shapes, which have perpendicular sides?
Sort the Following Shapes into the Venn Diagram B A C D E F I H G
Classify the following shapes: A I D F H B G E J C
Test Prep • If Joey is asked to name a quadrilateral that is also a rhombus, what should be his answer? • Square • Rectangle • Parallelogram • Trapezoid • Which capital letter appears to have parallel line segments? • D • L • N • T • Which quadrilateral has exactly one pair of parallel sides? • 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? • N • O • T • V
Nolan drew a right triangle. How many acute angles did he draw?
Triangle Sorting C E A D B F
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? • 26/10 • 26/100 • 4/5 • 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 hexagon would have how many lines of symmetry? A regular octagon would have how many lines of symmetry?