5th Grade Geometry
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1 Slide 1 / 112
2 Slide 2 / 112 5th Grade Geometry
3 Slide 3 / 112 Geometry Unit Topics Click on the topic to go to that section Polygons Classifying Triangles & Quadrilaterals Coordinate Plane First Quadrant
4 Slide 4 / 112 Polygons Click to return to the table of contents
5 Slide 5 / 112 Polygons Examples of polygons and figures that are not polygons These are polygons These are not polygons
6 Slide 6 / 112 Shapes That Are Not Polygons This is not a polygon. It is open, click to reveal not closed. This is not a polygon. The sides cross over. click to reveal This is not a polygon Not all sides click are to reveal straight.
7 Slide 7 / 112 Polygons A polygon is a simple, closed plane figure made up of 3 or more line segments. Simple - line segments do not intersect (remember, line segments are straight, not curved) Closed - When you trace the figure, it ends at the starting point. Plane figure - a two-dimensional (flat) shape
8 Slide 8 / 112
9 Slide 9 / Is this figure a polygon? Yes No
10 Slide 10 / Is this figure a polygon? Yes No
11 Slide 11 / Is this figure a polygon? Yes No
12 Slide 12 / Is this figure a polygon? Yes No
13 Slide 13 / Is this figure a polygon? Yes No
14 Slide 14 / 112 Polygons Polygons are named by their number of sides. Name Triangle 3 Quadrilateral 4 Number of Sides Pentagon 5 Hexagon 6 Heptagon 7 Octagon 8 Nonagon 9 Decagon 10
15 Slide 15 / 112 Polygons Interesting fact: A polygon's number of sides and number of angles are always the same. 3 sides 3 angles 10 sides 10 angles
16 Slide 16 / How many sides does a heptagon have?
17 Slide 17 / How many angles does a nonagon have?
18 Slide 18 / Name the figure. A B C D Quadrilateral Hexagon Decagon Octagon
19 Slide 19 / Name the figure. A B C D Decagon Hexagon Nonagon Octagon
20 Slide 20 / 112 Regular vs. Irregular Polygons If the figure's sides and angles are congruent, it is called a regular polygon.
21 Slide 21 / 112 Regular vs. Irregular Polygons If either the figure's sides or angles are not congruent, it is called an irregular polygon.
22 Slide 22 / 112
23 Slide 23 / What kind of polygon is this? A B C regular irregular not a polygon
24 Slide 24 / What kind of polygon is this? A B C regular irregular not a polygon
25 Slide 25 / What kind of polygon is this? A B C regular irregular not a polygon
26 Slide 26 / What kind of polygon is this? A B C regular irregular not a polygon
27 Slide 27 / What kind of polygon is this? A B C regular irregular not a polygon
28 Slide 28 / What kind of polygon is this? A B C regular irregular not a polygon
29 Slide 29 / 112 Classifying Triangles & Quadrilaterals Click to return to the table of contents
30 By Sides Equilateral Triangle All sides are congruent. Slide 30 / 112 Triangles Classifying Triangles- Triangles can be classified by their angles or their sides. Isosceles Triangle At least two sides are congruent. Match the picture to the definition Scalene Triangle No sides are congruent.
31 Slide 31 / Classify the triangle by its sides A B C equilateral scalene isosceles
32 Slide 32 / Classify the triangle by its sides A B C equilateral scalene isosceles
33 Slide 33 / 112 Triangles By Angles Match the picture to the definition Acute Triangle All three angles are less than 90 degrees. Right Triangle One angle is 90 degrees. Obtuse Triangle One angle is more than 90 degrees.
34 Slide 34 / Classify the triangle by its angles A B C acute obtuse right
35 Slide 35 / Classify the triangle by its angles A B C acute obtuse right
36 Slide 36 / Classify the triangle by its angles A B C acute obtuse right
37 Slide 37 / 112 Click to go to web site then choose Triangle Sort.
38 Slide 38 / Classify the triangle. A equilateral B isosceles C scalene D acute E F right obtuse Remember: Classify by sides and angles (put in two answers)
39 Slide 39 / Classify the triangle. A B C D E F equilateral isosceles scalene acute right obtuse Remember: Classify by sides and angles (put in two answers)
40 Slide 40 / If each of the angles in a triangle measures 60 º, what is the triangle? A B C D E F equilateral isosceles scalene acute right obtuse Remember: Classify by sides and angles (put in two answers)
41 Slide 41 / Classify the triangle. A B C D E F equilateral isosceles scalene acute right obtuse Remember: Classify by sides and angles (put in two answers)
42 Slide 42 / Classify the triangle in the yield sign. A B C D E F equilateral isosceles scalene acute right obtuse Remember: Classify by sides and angles (put in two answers)
43 Slide 43 / Classify the triangle this bridge makes. A B C D E F equilateral isosceles scalene acute right obtuse Remember: Classify by sides and angles (put in two answers)
44 Slide 44 / 112 Quadrilaterals Classifying Quadrilaterals You must use the properties of quadrilaterals to identify and classify them. Trapezoids - Exactly one pair of parallel sides.
45 Slide 45 / 112 Quadrilaterals Classifying Quadrilaterals You must use the properties of quadrilaterals to identify and classify them. Parallelogram - Opposite sides are congruent & parallel. Interesting fact: The opposite angles of a parallelogram are also congruent.
46 Slide 46 / 112 Quadrilaterals Classifying Quadrilaterals You must use the properties of quadrilaterals to identify and classify them. Similar to triangles, quadrilaterals are classified by the relationships between their sides and angles. Rectangle - Special parallelogram with four right angles
47 Slide 47 / 112 Quadrilaterals Classifying Quadrilaterals You must use the properties of quadrilaterals to identify and classify them. Rhombus - Parallelogram with four congruent sides and opposite angles congruent
48 Slide 48 / 112 Quadrilaterals Classifying Quadrilaterals You must use the properties of quadrilaterals to identify and classify them. Square - Rhombus with four right angles or a Rectangle with four congruent sides.
49 Slide 49 / 112 Match the shape with the description.
50 Slide 50 / 112 Quadrilaterals Quadrilateral 4-sided polygon Parallelogram 4-sided polygon two pairs of // sides Trapezoid 4-sided polygon one pair of // sides Rectangle Square Rhombus 4-sided polygon 4-sided polygon two pairs of // sides two pairs of // sides all sides ~ all angles ~ = = 4-sided polygon two pairs of // sides all angles ~ = all sides ~ =
51 Slide 51 / 112 Polygon Quadilateral
52 Slide 52 / 112 Polygon Quadilateral Trapezoid
53 Slide 53 / 112 Polygon Quadilateral Parallelogram Trapezoid
54 Slide 54 / 112 Polygon Quadilateral Parallelogram Trapezoid Rectangle
55 Slide 55 / 112 Polygon Trapezoid Quadilateral Parallelogram Rectangle Rhombus
56 Slide 56 / 112 Polygon Quadilateral Parallelogram Trapezoid Rectangle Square Rhombus
57 Slide 57 / 112 Click for web site and then choose polygon sort.
58 Slide 58 / 112 Drag and drop the names to complete the diagram that shows the relationship among the figures listed. Each category will be used only once. rhombuses parallelograms rectangles quadrilaterals From PARCC EOY sample test #13
59 Slide 59 / Which of the following shapes is a trapezoid? A B C D
60 Slide 60 / Which of statement(s) do NOT describe the figure? A trapezoid B parallelogram C rectangle D rhombus E square
61 Slide 61 / Which of the statements does NOT describe the figure? A B C D E trapezoid parallelogram rectangle rhombus square
62 Slide 62 / Which of the statement(s) does NOT describe the figure? A trapezoid B parallelogram C rectangle D rhombus E square
63 Slide 63 / Which of the following statements is true? A B C D A square is not a rectangle. A rectangle is a square. A square is not a parallelogram. A square is a rectangle.
64 Slide 64 / Which shape has exactly one pair of // sides? A square B rhombus C triangle D trapezoid
65 Slide 65 / Which shape has two sets of congruent angles and adjacent sides congruent? A square B rectangle C rhombus D kite
66 Slide 66 / Describe the figure. Choose all answers that apply. A B C D E F G Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square None of the Above
67 Slide 67 / Describe the figure. Choose all answers that apply. A B C D E F G Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square None of the Above
68 Slide 68 / Describe the figure. Choose all answers that apply. A B C D E F G Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square None of the Above
69 Slide 69 / Describe the figure. Choose all answers that apply. A B C D E F G Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square None of the Above
70 Slide 70 / Describe the shape of the top of the desk. Choose all answers that apply. A B C D E F G Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square None of the Above
71 Slide 71 / Describe the shape for the face of the clock. Choose all answers that apply. A B C D E F G Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square None of the Above
72 Slide 72 / Describe the shape of the mouth of the shark. Choose all answers that apply. A B C D E F G Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square None of the Above
73 Slide 73 / Describe the shape of this marker. Choose all answers that apply. A B C D E F G Quadrilateral Trapezoid Parallelogram Rectangle Rhombus Square None of the Above
74 Slide 74 / Which of the following shapes could never have perpendicular sides? A rectangle B triangle C circle D square
75 Slide 75 / Which of these shapes could never have parallel opposite sides? A trapezoid B triangle C rectangle D rhombus
76 Slide 76 / 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
77 Slide 77 / Select an answer for each blank. Because a is a, it must have 4 A square D square B rectangle E rectangle C trapezoid F rhombus opposite angles and all four sides.
78 Slide 78 / 112 Coordinate Plane Click to return to the table of contents
79 Slide 79 / 112 Coordinate Plane 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.
80 Slide 80 / 112 Coordinate Plane Origin (0, 0) The point at which the x and y axes intersect is called the origin. The coordinates of the origin are (0, 0).
81 Slide 81 / 112 Coordinate Plane y x 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. (x,y)
82 Slide 82 / 112 Coordinate Plane 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. (4,3)
83 Slide 83 / 112 Coordinate Plane y x (x,y) This point is (3,2). To plot the point, go over 3, then up 2.
84 Slide 84 / 112 Coordinate Plane y x (x,y) This point is (1,4). To plot the point, go over 1, then up 4.
85 Slide 85 / 112 Coordinate Plane y x (x,y) This point is (5,0). To plot the point, go over 5, then up 0.
86 46 Which point is at the origin? y Slide 86 / 112 A B D C x
87 47 Which point is at (1,3)? Slide 87 / 112 y A B D C x
88 48 Which point is at (3,3)? Slide 88 / 112 y A B D C x
89 49 Which point is at (0,5)? A Slide 89 / 112 y B D C x
90 Slide 90 / Which ordered pair is the origin? A (4,0) B (0,0) C (0,4) D (4,4)
91 Slide 91 / Which number in the ordered pair (7,3) is the x-coordinate? A 7 B 3 C 0 D x
92 Slide 92 / Which number in the ordered pair (5,9) is the y-coordinate? A 0 B 5 C 9 D y
93 Slide 93 / Which number in the ordered pair (7,12) is the y-coordinate? A 7 B 12 C 0 D y
94 Slide 94 / Which number in the ordered pair (7,12) is the x-coordinate? A 7 B 12 C 0 D x
95 Slide 95 / 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
96 Slide 96 / 112 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. A B C From PARCC EOY sample test #26
97 Slide 97 / Part B In round 4, Mia scores the same number of points as in rounds 2 and 3 combined. What is the coordinate pair that represents Mia's score for round 4? A (4, 5) B (9, 4) C (5, 4) D (4, 9) From PARCC EOY sample test #26
98 Slide 98 / The following points were graphed on the coordinate plane. Select the correct letter that corresponds with each point on the graph. 1. (4,6) (A or B) A 2. (6,4) (B or C) B C A C B 3. (3,0) (D or E) D D E F E From PARCC EOY sample test #2
99 Slide 99 / 112 First Quadrant Click to return to the table of contents
100 Slide 100 / 112 First Quadrant First Quadrant When the x and y coordinates are both positive, points are plotted in the first quadrant.
101 Slide 101 / 112 Play Billy Bug and His Quest for Grub Game Click for web site.
102 Slide 102 / 112 First Quadrant Sometimes we are asked to create a shape in the first Quadrant by finding the missing point... Try these examples.
103 Slide 103 / Which point will create a square? A (3,2) B (5,1) C (2,1) D (1,2)
104 Slide 104 / Which point will create a right triangle? A (1,4) B (4,1) C (3,4) D (2,1)
105 Slide 105 / Which point will create a parallelogram? A (4, 8) B (8, 4) C (9, 5) D (7, 4)
106 Slide 106 / Which point will create a trapezoid? A (1, 3) B (1, 1) C (3, 3) D (3, 1)
107 Slide 107 / 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 C B D
108 Slide 108 / Chose an answer to fill in each blank. Point A is units to the x-axis A 2 D closer to B 5 E further from C 7 and units to the y-axis than point C. F 2 I closer to 10 G 5 E 9 J further from H A B C D
109 Slide 109 / Chose an answer to fill in each blank. Point D is units to the x-axis A 2 D closer to B 3 E further from C 4 and units to the y-axis than point B. F 2 I closer to 10 G 3 E 9 J further from H A B C D
110 Slide 110 / 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 # of customers (in tens.)
111 Slide 111 / 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 # of customers (in tens.)
112 Slide 112 / 112 Coordinate Grid Geoboards Activity 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. This example, the vertices are: (1,3) (4,1) (4,3) Click above to practice using the National Library of Virtual Manipulatives web site.
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