Slide 1 / 112 Slide 2 / 112 5th Grade Geometry 2015-11-23 www.njctl.org Slide 3 / 112 Geometry Unit Topics · Coordinate Plane · First Quadrant · Polygons Click on the topic to go to that section · Classifying Triangles & Quadrilaterals Slide 4 / 112 Polygons Click to return to the table of contents Slide 5 / 112 Examples of polygons and figures that are not polygons These are polygons These are not polygons Polygons Slide 6 / 112 This is not a polygon. It is open, not closed. This is not a polygon. The sides cross over. This is not a polygon Not all sides are straight. click to reveal click to reveal click to reveal Shapes That Are Not Polygons
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Slide 1 / 112 Slide 2 / 112
5th Grade
Geometry
2015-11-23
www.njctl.org
Slide 3 / 112
Geometry Unit Topics
· Coordinate Plane
· First Quadrant
· Polygons
Click on the topic to go to that section
· Classifying Triangles & Quadrilaterals
Slide 4 / 112
Polygons
Click to return to the table of contents
Slide 5 / 112
Examples of polygons and figures that are not polygons
29 Which of the statements does NOT describe the figure?
A trapezoidB parallelogramC rectangleD rhombusE square
Slide 62 / 112
30 Which of the statement(s) does NOT describe the figure?
A trapezoidB parallelogramC rectangleD rhombusE square
Slide 63 / 112
31 Which of the following statements is true?
A A square is not a rectangle.
B A rectangle is a square.
C A square is not a parallelogram.
D A square is a rectangle.
Slide 64 / 112
32 Which shape has exactly one pair of // sides?
A square
B rhombus
C triangle
D trapezoid
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33 Which shape has two sets of congruent angles and adjacent sides congruent?
A square
B rectangle
C rhombus
D kite
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34 Describe the figure. Choose all answers that apply.
A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above
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35 Describe the figure. Choose all answers that apply.
A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above
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36 Describe the figure. Choose all answers that apply.
A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above
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37 Describe the figure. Choose all answers that apply.
A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above
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38 Describe the shape of the top of the desk. Choose all answers that apply.
A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above
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39 Describe the shape for the face of the clock. Choose all answers that apply.
A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above
Slide 72 / 112
40 Describe the shape of the mouth of the shark. Choose all answers that apply.
A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above
Slide 73 / 112
41 Describe the shape of this marker. Choose all answers that apply.
A QuadrilateralB TrapezoidC ParallelogramD RectangleE RhombusF SquareG None of the Above
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42 Which of the following shapes could never have perpendicular sides?
A rectangleB triangleC circleD square
Slide 75 / 112
43 Which of these shapes could never have parallel opposite sides?
A trapezoidB triangleC rectangleD rhombus
Slide 76 / 112
44 Which explanation about figures is correct? A All rhombuses are parallelograms. Parallelograms
have 2 pair of parallel sides. Therefore, all rhombuses have 2 pairs of parallel sides.
B All rhombuses are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, all rhombuses have exactly 1 pair of parallel sides.
C Only some rhombuses are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, only some rhombuses have 2 pair of parallel sides.
D Only some rhombuses are parallelograms. Parallelograms have exactly 1 pair of parallel sides. Therefore, only some rhombuses have exactly 1 pair of parallel sides.
From PARCC EOY sample test #7
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45 Select an answer for each blank.
Because a ________ is a ________, it must have 4 A square B rectangle C trapezoid
The coordinate plane is formed by two intersecting number lines called axes.
The horizontal line is the x-axis. The vertical line is the y-axis.
Coordinate PlaneSlide 80 / 112
The point at which the x and y axes intersect is called the origin. The coordinates of the origin are (0, 0).
Origin(0, 0)
Coordinate Plane
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(x,y)
x
yCoordinate Plane
Points can be plotted on the plane using one coordinate from each of the axes. These sets are called ordered pairs. The x coordinate always appears first in these pairs. The y coordinate appears second.
Slide 82 / 112
(4,3)
To graph an ordered pair, such as (4,3):· Start at the origin (0,0).· Move right on the x-axis, since the first number is positive.· Then, move up since the second number is positive. · Plot the point.
Coordinate Plane
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(x,y)
x
y
This point is (3,2).To plot the point, go over 3, then up 2.
Coordinate Plane
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(x,y)
x
y
This point is (1,4).To plot the point, go over 1, then up 4.
Coordinate Plane
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(x,y)
x
y
This point is (5,0).To plot the point, go over 5, then up 0.
Coordinate Plane
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x
y46 Which point is at the origin?
A B
CD
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x
y47 Which point is at (1,3)?
A B
CD
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x
y48 Which point is at (3,3)?
A B
CD
Slide 89 / 112
x
y49 Which point is at (0,5)?
A B
CD
Slide 90 / 112
50 Which ordered pair is the origin?
A (4,0)
B (0,0)
C (0,4)
D (4,4)
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51 Which number in the ordered pair (7,3) is the x-coordinate?
A 7
B 3
C 0
D x
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52 Which number in the ordered pair (5,9) is the y-coordinate?
A 0
B 5
C 9
D y
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53 Which number in the ordered pair (7,12) is the y-coordinate?
A 7
B 12
C 0
D y
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54 Which number in the ordered pair (7,12) is the x-coordinate?
A 7
B 12
C 0
D x
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55 Select three statements that correctly describe the coordinate system.
A The x- and y-axes intersect at 10.
B The x- and y-axes intersect at the origin.
C The x- and y-axes are parallel number lines.
D The x- and y-axes are perpendicular number lines.
E The x- and y-axes are used to locate points on a coordinate plane.
From PARCC EOY sample test #32
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From PARCC EOY sample test #26
Mia is playing several rounds of a word game. Each coordinate pair shows the number of the round and Mia's score fore that round. She is keeping track of these coordinate pairs on a graph.· Round 1: (1, 3)· Round 2: (2, 6)· Round 3: (3, 3)Part A
Graph Mia's scores for the first three rounds of play. Move the 3 points to their location on the graph.
Slide 103 / 11258 Which point will create a square?
A (3,2)
B (5,1)
C (2,1)
D (1,2)
Slide 104 / 11259 Which point will create a right triangle?
A (1,4)
B (4,1)
C (3,4)
D (2,1)
Slide 105 / 11260 Which point will create a parallelogram?
A (4, 8)B (8, 4)
C (9, 5)
D (7, 4)
Slide 106 / 11261 Which point will create a trapezoid?
A (1, 3)
B (1, 1)C (3, 3)D (3, 1)
Slide 107 / 11262 Emily drew a figure on a coordinate grid.
The figure has one pair of opposite sides that are parallel, but not equal. Which of the following figures could Emily have drawn?
A
B
C
D
Slide 108 / 112
63 Chose an answer to fill in each blank.Point A is _____ units ____________ to the x-axis
and _____ units ______ to the y-axis than point C.
A 2 B 5 C 7
D closer to E further from
F 2 G 5 H 7
I closer to J further from
123456
89
10
02 3 4 5 6 7 8 9 101
7
A
B
C
D
E
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64 Chose an answer to fill in each blank.Point D is _____ units ____________ to the x-axis
and _____ units ______ to the y-axis than point B.
A 2 B 3 C 4
D closer to E further from
F 2 G 3 H 4
I closer to J further from
123456
89
10
02 3 4 5 6 7 8 9 101
7
A
B
C
D
E
Slide 110 / 112
12345
02 3 41
# of
cus
tom
ers
(in te
ns.)
65 The coordinate plane shows the number of customers the Ice Cream Shoppe had in the first 3 weeks of June. If the pattern continues, how many customers will they have during the 4th week of June?
A 5
B 6
C 55
D 60
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12345
02 3 41
# of
cus
tom
ers
(in te
ns.)
66 The coordinate plane shows the number of customers the Ice Cream Shoppe had in the first 3 weeks of September. If the pattern continues, how many customers will they have during the 5th week of September?
A 15
B 20
C 25
D 30
Slide 112 / 112
Click above to practice using theNational Library of Virtual Manipulatives web site.
This example, the vertices are:(1,3)(4,1)(4,3)
· Work in partners.· One partner creates a polygon on the geoboard and writes down the vertices.· Other partner plots the points, and connects them with line segments.· Compare the polygons, then switch roles.