A triangle that has three acute angles Example:

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1 1. acute angle : An angle that measures less than a right angle (90 ). 2. acute triangle : A triangle that has three acute angles 3. angle : A figure formed by two rays that meet at a common endpoint 4. associative property of multiplication : The property which states that when multiplying three or more factors, any two of the factors can be multiplied, and the remaining factors may then be multiplied without changing the total product (3 X 4) X 5 = 3 X (4 X 5) 12 X 5 = 3 X = bar graph : A graph that compares facts about groups 6. base : A number used as a repeated factor

2 base 8 3 The number 8 is the base. 7. benchmark : Numbers like 10, 25, 50, or 100 that are used to help make estimates 8. benchmark percent : A commonly used percent that is close to the amount you are estimating 25% is a good benchmark for amounts close to. 50% is a good benchmark for amounts close to. 10%, 75%, and 100% are other common benchmark percents. 9. cardinal : A number that tells how many 4 puppies 10. chord : 93 cents A line segment with endpoints on a circle 11. circle : A closed figure with all points on the figure the same distance from the center point 12. circle graph : A graph in the shape of a circle that shows fractions, percents, or decimals as parts of a whole

3 13. circumference : The perimeter of a circle 14. common factor : A number that is a factor of two or more numbers factors of 6: 1, 2, 3, 6 factors of 12: 1, 2, 3, 4, 6, 12 The common factors of 6 and 12 are 1, 2, 3, and common multiple : multiples of 4: multiples of 6: 4, 8, 12, 16, 24 6, 12, 18, 24 A number that is a multiple of two or more numbers A common multiple of 4 and 6 is commutative property of addition : The property which states that addends can be added in any order. The sum is always the same = = commutative property of multiplication : The property which states that factors can be multiplied in any order. The product is always the same. 5 7 = = compatible numbers : Pairs of numbers that are easy to compute mentally So, the sum of is about 200.

4 Estimate the quotient composite numbers : Composite Numbers Numbers that have more than two factors Not Composite Numbers Number Factors Number Factors 4 1, 2, , 2, 3, 6 2 1, 2 8 1, 2, 4, 8 3 1, 3 9 1, 3, 9 5 1, cone : A solid figure with a circular base and one vertex 21. congruent : Having the same size and shape 22. congruent figures : Figures that have the same size and shape The triangles are congruent 23. coordinate plane : A plane formed by two intersecting and perpendicular number lines

5 24. coordinates : An ordered pair of integers that name a point on a coordinate plane 25. cube : A solid figure with six congruent square faces 26. cubic units : The number of cubes with dimensions of 1 unit X 1 unit X 1 unit that can fit inside of a solid figure, that gives the volume 4 cubic units

6 27. cylinder : A solid figure with two parallel bases that are congruent circles 28. decimal : A number that uses place value and a decimal point to show values less than one, such as tenths and hundredths decimal number system : A place value number system based on grouping by tens; each place has a value 10 times the value of the place at its right. 30. degree : A unit for measuring angles and for measuring temperature 31. degrees Celsius : A standard unit for measuring temperature in the metric system 32. degrees Fahrenheit : A standard unit for measuring temperature in the customary system

7 33. diameter : A line segment that passes through the center of a circle and has its endpoints on the circle 34. distributive property of multiplication : The property which states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products 3 X (4 + = (3 X 4) + (3 X 2) 2) 3 X 6 = = dividend : 36. divisible : The number that is being divided in a division problem 35 5 = 7 The dividend is 35. A number is divisible by another number if the result of the division is a whole number and the remainder is zero 18 is divisible by 3.

8 37. divisor : 38. equation : The number that divides the dividend 18 3 = 6 The divisor is 3. A number sentence that uses the equals sign to show that two amounts are equal = = n = equilateral triangle : A triangle with three congruent sides 40. equivalent decimals : 41. equivalent fractions : Decimals that name the same number or amount 0.5 = 0.50 = Fractions that name the same amount or part 42. equivalent ratios : Ratios that name the same comparisons 43. estimate : To find an answer that is close to the exact answer

9 44. expanded form : A way to write numbers by showing the value of each digit 635 = ,479 = 1, exponent : The number that shows how many times a base is used as a factor The exponent is 3, indicating that 8 is used as a factor 3 times 46. expression : A part of a number sentence that combines numbers and operation signs face : 3 X (2 + 6) 4 + n A flat surface of a solid figure 48. factor : A number multiplied by another number to find a product 49. factor tree : A diagram that shows the prime factors of a composite number 50. formula : A set of symbols that expresses a mathematical rule formula for area of a rectangle: Area = length X width or A = l X w

10 51. fraction : A number that names part of a whole or part of a group 52. frequency table : A table that organizes the total for each category or group 53. greater than ( > ) : A symbol used to compare two numbers, with the greater number given first 8 > 6 8 is greater than greatest common factor ( GCF ) : 55. height : The greatest factor that two or more numbers have in common 18: 1, 2, 3, 6, 9, 18 30: 1, 2, 3, 5, 6, 10, 15, 30 6 is the GCF of 18 and 30. In a polygon, the length of a line segment that goes from a vertex to the opposite side, and is perpendicular to the opposite side 56. hexagon : A polygon with 6 sides and 6 angles

11 57. histogram : A bar graph that shows the number of times data occur within certain ranges or intervals 58. inequality : A mathematical sentence that shows that two expressions do not represent the same quantity 59. integer : Any one of the numbers..., 3, 2, 1, 0, 1, 2, 3, intersecting lines : Two or more lines that cross at exactly one point 61. interval : The distance between the numbers on the scale of a graph

12 62. inverse operations : Opposite operations that undo each other; addition and subtraction are inverse operations; multiplication and division are inverse operations. 63. isosceles triangle : A triangle with two congruent sides and two congruent angles 64. least common denominator (LCD) : The least common multiple of two or more denominators 65. least common multiple (LCM) : The least number other than zero, that is a multiple of two or more given numbers multiples of 6: 6, 12, 18, 24, 30, 36 multiples of 9: 9, 18, 27, 36, 45, 54 The LCM of 6 and 9 is less than ( < ) : A symbol used to compare two numbers, with the lesser number given first 6 < 8 6 is less than line graph : A graph that uses line segments to show how data change over a period of time

13 68. line of symmetry : A line that divides a figure so that the two parts of the figure are congruent 69. line plot : A diagram that shows the frequency of data as they are collected 70. line segment : Part of a line with two endpoints 71. map scale : A ratio that compares the distance on a map with the actual distance 72. mean (average ) : The scale is 1 cm to 100 mi. One way to find a number that best represents all the numbers in a set Step 1 Use unit cubes. Make 6 stacks of cubes to model the number of tickets sold each day. Step 2 Arrange the stacks in order from the shortest to the tallest.

14 Step 3 To find the mean, move the cubes so the 6 stacks are equal in height. The number of cubes in each stack is the mean. Find the mean: 2, 3, 5, 5, 6, = = 5 The mean is median : The middle number in an ordered list of numbers 74. mixed number : 75. mode : The median of 1, 3, 4, 6, and 7 is 4. A number that is made up of a whole number and a fraction 21 2 The number that occurs most often in a list of data 76. multiple : The mode of 1, 3, 4, 4, and 6 is 4. A number that is the product of a given number and a whole number 77. negative integers : Integers less than zero

15 78. nominal : A number that names a thing 79. numerator : The top part of a fraction 80. obtuse angle : An angle whose measure is greater than 90 and less than obtuse triangle : A triangle that has one obtuse angle 82. one dimensional : A measure in only one direction, such as length 83. ordered pair : A pair of numbers used to locate a point on a grid (1,2) represents 1 space to the right of zero and 2 spaces up.

16 84. order of operations : The correct order in which the operations are done within an expression Do the operations inside parentheses. Multiply and divide from left to right. 3. Add and subtract from left to right. 6 + (4 X 2) ordinal : 86. origin : Multiply inside parentheses. Divide. Add. Subtract. A number that tells position or order Jon won first place. Jean is 4th in line. The point on a coordinate plane where the x-axis and the y-axis intersect 87. parallel lines : Lines in a plane that stay exactly the same distance apart

17 88. parallelogram : A quadrilateral whose opposite sides are parallel and congruent 89. percent : A ratio of some number to 100; The symbol for percent is %. 40% of the squares are shaded. 90. perimeter : The distance around a figure 2 cm + 3 cm + 3 cm = 8 cm The perimeter of this figure is 8 centimeters 91. period : Each group of three digits in a number PERIODS 92. perpendicular lines : Two lines that intersect to form four right angles 93. pi : The ratio of the circumference of a circle to the length of its diameter 94. place value :

18 The value of a digit as determined by its position in a number 95. plane : A flat surface that extends without end in all directions 96. point symmetry : Planes are named by three points in the plane. When a figure can be turned about a central point and still look the same 97. polygon : A closed plane figure with straight sides 98. positive integers : Integers greater than zero 99. possible outcome :

19 Something that has a chance of happening in an experiment The possible outcomes for the spinner are red, blue, green, and yellow precise : Finding a unit that measures nearest to the actual length of an object 101. prime factorization : When a composite number is written as a product of prime factors 102. prime numbers : Prime Number Factors Numbers that have only two factors, 1 and the number itself Not Prime Number Factors 2 1, 2 4 1, 2, 4 3 1, 3 6 1, 2, 3, 6 5 1, 5 9 1, 3, prism : A solid figure whose ends are congruent, parallel polygons, and whose sides are rectangles 104. probability : rectangular prism The chance that a given event will occur

20 105. product : The answer in a multiplication problem 6 6 X 2 = The product is property of one for multiplication : 107. protractor : The property which states that the product of any number and 1 is that number 5 X 1 = 5 16 X 1 = 16 A tool for measuring the size of the opening of an angle 108. pyramid : A solid figure with a base that is a polygon and three or more faces that are triangles with a common vertex triangular pyramid square pyramid pentagonal pyramid 109. quadrilateral : A polygon with four angles and four sides 110. quotient : The answer in a division problem

21 111. radius : 35 5 = 7 The quotient is 7. A line segment with one endpoint at the center of a circle and the other endpoint on the circle 112. ratio : A comparison of two numbers Compare: red counters to all counters all counters to red counters red counters to yellow counters Ratio: Type of Ratio: 2 to 5 part to whole 5 to 2 whole to part 2 to 3 part to part 113. ray : A part of a line that begins at one endpoint and extends forever in only one direction 114. rectangle : A polygon with 4 sides and 4 right angles 115. rhombus : A parallelogram whose four sides are congruent and whose opposite angles are congruent

22 116. right angle : An angle that forms a square corner and measures right triangle : A triangle with exactly one right angle 118. scale : A series of numbers placed at fixed distances on a graph to help label the graph 119. scalene triangle : A triangle with three unequal angles and sides that are not congruent 120. scientific notation : A method of writing very large or very small numbers by using powers of 10 1,200,000 = 1.2 X similar figures : Figures that have the same shape but may not have the same size

23 122. simplest form : A fraction that has 1 as the greatest common factor of the numerator and denominator 123. solid figure : A three-dimensional figure cube cube sphere sphere triangular prism square pyramid rectangular prism triangular pyramid cylinder cone 124. standard form : 125. surface area : A way to write numbers using the digits 0-9, with each digit having a place value 12,543 The sum of the areas of the faces of a solid figure 126. tessellation : Surface Area = A + B + C + D + E + F = = 52, or 52 units 2 A repeating pattern of closed figures that covers a surface with no gaps and no overlaps

24 127. three-dimensional : A measure in three directions, such as length, width, and height 128. transformation : 129. trapezoid : The movement of a figure, either a translation, rotation, or reflection A quadrilateral with only two parallel sides 130. tree diagram : An organized list that shows all possible outcomes of an event 131. two-dimensional : So, there are 6 possible outcomes A measure in two directions, such as length and width 132. unlike fractions : Fractions that have different denominators 133. variable : 134. venn diagram : A letter or symbol that stands for one or more numbers 5 + n k 3 A diagram that uses geometric shapes to show relationships

25 135. vertex : The point where two rays of an angle, two sides of a polygon, or three or more edges of a solid figure meet 136. volume : The measure of the occupies space a solid figure The volume of the cube is 8 cubic units x-axis : The horizontal axis on the coordinate plane 138. y-axis : The vertical axis on the coordinate plane

26 139. zero property for multiplication : The property which states that the product of zero and any number is zero 13 X 0 = 0 0 X 7 = 0

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