Download Name: Test Date: 10/16 Class:_____ E#67 Math 5

Name:____________________ Test Date: 10/16 Class:_____
E#67
Math 5
9 Weeks Benchmark
GOLDEN TICKET
Date
Amount of
Student Signature
time I studied
Parent Signature
10/14
10/15
5.9- Identify and describe the diameter, radius, chord, and circumference of a circle
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Circle: a set of points on a flat surface (plane) with every point equidistant from a given point called
the center
Chord: a line segment connecting any two points on a circle.
o Diameter is a special chord that goes through the center of the circle
Diameter: is a chord that goes through the center of a circle
o Diameter = 2 radius
o 1/3 the circumference
o A special chord
Radius: a line segment from the center of a circle to any point on the circle
o Radius = ½ diameter
o 2 radii end-to-end form a diameter
o 1/6 the circumference
Circumference: the distance around a circle (perimeter of a circle)
o Circumference is about 3 times the diameter
o Circumference is about 6 times the radius
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Circumference
Radius
Diameter (a special chord)
Center or Center Point
Chord
5.11- Measure right, acute, obtuse, and straight angles
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Angles are measured in degrees
There are up to 360o in an angle
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A degree is 360 of a complete rotation of a circle
There are 360o in a circle
Before measuring an angle, students should first compare it to a right angle to determine whether the
measure of the angle is less than or greater than 90°
Angle measure can be additive, example: 90o + 35o = 145o
Right Angle: an angle that measures exactly 90o
Acute Angle: an angle that measures greater than 0o and less than 90o
Obtuse Angle: an angle that measures greater than 90o and less than 180o
Straight Angle: an angle that measures exactly 180o
5.12- Classify
a) angles as right, acute, obtuse, or straight; and
b) triangles as right, acute, obtuse, equilateral, scalene, or isosceles
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Right Angle: an angle that measures exactly 90o
Acute Angle: an angle that measures greater than 0o and less than 90o
Obtuse Angle: an angle that measures greater than 90o and less than 180o
Straight Angle: an angle that measures exactly 180o
Classify a triangle based on its:
o Angles:
 Right Triangle – has one right angle
 Acute Triangle – has 3 acute angles
 Obtuse Triangle – has one obtuse angle
o Sides:
 Equilateral Triangle – all sides are the same (equal) in length
 Scalene Triangle – no congruent sides (all sides have a different length)
 Isosceles Triangle – has 2 congruent sides
5.13- Using plane figures (square, rectangle, triangle, parallelogram, rhombus, and trapezoid), will
a) develop definitions of these plane figures; and
b) investigate and describe the results of combining and subdividing plane figures
 Triangle: a polygon with 3 sides
 Quadrilateral: a polygon with 4 sides
 Parallelogram: has 2 pair of parallel sides
o A diagonal (a segment that connects two vertices of a polygon but is not a side) divides the
parallelogram into two congruent triangles.
o The opposite sides of a parallelogram are congruent.
o The opposite angles of a parallelogram are congruent.
o The diagonals of a parallelogram bisect each other. To bisect means to cut a geometric figure into
two congruent halves. A bisector is a line segment, line, or plane that divides a geometric figure
into two congruent halves. A sample of a bisected parallelogram is below.
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o Rectangle: a parallelogram with 4 right angles
o Rhombus: a parallelogram with 4 congruent sides
o Square: a parallelogram with 4 right angles and 4 congruent sides
o Trapezoid: a quadrilateral with exactly one pair of parallel sides
Plane Figures may be combined or subdivided to create new figures
5.3- Identify and describe the characteristics of
a) prime and composite numbers; and
b) even and odd numbers
Prime & Composite Numbers
 Natural number that has exactly two different factors, 1 and itself
 Natural number that has more than two different factors.
 The number 1 is neither prime nor composite because it has only one factor, itself.
 The prime factorization of a number is a representation of the number as the product of its prime factors.
For example, the prime factorization of 18 is 2  3  3.
 Prime factorization concepts can be developed by using factor trees.
 Prime or composite numbers can be represented by rectangular models or rectangular arrays on grid paper.
o A prime number can be represented by only one rectangular array (e.g., 7 can be represented by a 7
 1 and a 1 x 7).
o A composite number can always be represented by more than two rectangular arrays (e.g., 9 can be
represented by a 9  1, a 1 x 9, or a 3  3).
 Divisibility rules are useful tools in identifying prime and composite numbers.
o A whole number is divisible by:
 2 if the ones digit is divisible by 2
 3 if the sum of the digits is divisible by 3
 4 if the number formed by the last two digits is divisible by 4
 5 if the ones digit is 0 or 5
 6 if the number is divisible by both 2 & 3
 9 if the sum of the digits is divisible by 9
 10 if the ones digit is a 0
Even & Odd Numbers
 An even number has 2 as a factor or is divisible by 2.
o 4÷2=2
 An odd number does not have 2 as a factor or is not divisible by 2.
1
o 5 ÷ 2 = 2.5 or 2 2
 The sum of two even numbers is even.
o 2+2=4
 The sum of two odd numbers is even.
o 1+1=2
 The sum of an even and an odd is odd.
o 1+2=3
 Even numbers have an even number or zero in the ones place.
o 0, 2, 4, 6, or 8
 Odd numbers have an odd number in the ones place.
o 1, 3, 5, 7, or 9