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even number A number divisible by 2. Numbers ending in 0, 2, 4, 6, or 8. odd number A number NOT divisible by 2. Numbers ending in 1, 3, 5, 7, 9. associative property of multiplication When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. (2 x 3) x 4 = 24 2 x (3 x 4) = 24 (2 x 4) x 3 = 24 also called the Grouping Property addend The numbers added together to form a sum. 7 + 8 = 15 sum factors The numbers that are multiplied in a multiplication problem. 3 x 5 = 15 product sum the answer to an addition problem difference the answer to a subtraction problem product the answer to a multiplication problem quotient the answer to a division problem commutative property of multiplication The property that states that changing the order of the factors does not affect the product. Example: 3 x 5 = 15 and 5 x 3 = 15 line A straight path that extends in both directions without end; marked with an arrowhead at each end. line segment A piece of a line that has two endpoints. parallel lines Two (or more) lines that run the same distance apart at every point and will never intersect. ray A line with one end point that extends non-stop in the opposite direction. angle A shape formed by two rays that share an endpoint. vertex plural: vertices The point where: • two or more rays share an endpoint. • the edges of a solid figure meet. The point at the top of a cone. intersecting lines Two or more lines that meet or cross at a point. perpendicular lines Two lines that intersect and form right angles. protractor Tool used to measure angles. A full circle rotation is equal to 360° (degrees) When divided into four equal sections, each section is worth 90° 360° 90° 90 90°° 270° 90° 90° 90 90 90°°° 180° 90° 1 rotation = 2 rotations = 180° 3 rotations = 270° 4 rotations = 360° right angle An angle measuring 90 degrees. acute angle An angle that measures LESS than 90 degrees. obtuse angle An angle that measures MORE than 90 degrees. straight angle An angle that measures 180 degrees. four criteria for a polygon A polygon is made up of all straight line segments is closed (has no breaks in the line segments) is 2-dimensitional, plane shape has no lines that cross over each other a polygon has line segments, vertices, and angles regular polygon A polygon with all equal sides and all equal angles. irregular polygon A polygon that does NOT have all equal sides and equal angles. four criteria of a rectangle A rectangle: is a quadrilateral. is made up of four line segments. has four 90° angles. is a parallelogram – a four sided polygon with two pairs of parallel sides. parallelogram A quadrilateral (four sided polygon) with two pairs of parallel sides. trapezoid A quadrilateral (four sided polygon) with one pair of parallel sides. congruent • Figures that have the same size AND same shape. • The figures do not have be in the same position. •If you placed the two shapes directly on top of each other they would match up perfectly. similar Figures that have the same shape, but are not the same size. line of symmetry The line that divides a figure in half so that both halves are exactly the same. equilateral triangle A triangle with all three sides of equal length. 3 in. 3 in. 3 in. isosceles triangle A triangle with two sides that are equal and one that is not. 5 in. 5 in. 3 in. scalene triangle A triangle with all sides that are a different length. 8 in. 4 in. 9 in. right triangle A triangle with at least one right angle. triangle A polygon with 3 sides. quadrilateral A polygon with 4 sides. quadrilateral A polygon with 4 sides. parallelograms trapezoids rhombus rhombus A quadrilateral with two pairs of parallel sides and four equal sides. pentagon A polygon with 5 sides. hexagon A polygon with 6 sides. octagon A polygon with 8 sides. decagon A polygon with 10 sides. obtuse triangle A triangle having an obtuse angle. One of the angles of the triangle measures more than 90 degrees. acute triangle A triangle having three acute angles. Which months have 30 days? April June September November Which months have 31 days? January March May July August October December area The number of square units that can fit inside of a shape. To find the _______ , count the square units. area = 9 square units perimeter The distance around the outside of a shape. To find the __________ , add the length of all the sides. 2 cm + 3 cm + 3 cm = 8 cm The perimeter of this figure is 8 centimeters. bar graph vertex vertices (plural) A corner where two or more straight lines meet on a 3-dimenstional shape. vertex denominator The number below the bar in a fraction. It tells the total number of equal parts or groups into which the whole or group has been divided. numerator The number above the bar in a fraction. It tells how many of the equal parts of the whole or group are being considered. Celsius The metric unit for measuring temperature. Fahrenheit Customary or standard unit for measuring temperature. standard form 2,394 A way to write numbers by using the digits 0-9. expanded form 241 = 200 + 40 + 1 word form A way to write numbers by using words. two-hundred fifty-seven key Used on a pictograph to tell how many each picture stands for. line plot line graph A graph that uses a line to show how something changes over time. mixed number Number represented by a whole number and a fraction. 3 5 8 fraction greater than one A fraction in which the numerator is larger than the denominator. 5 3 gram and kilogram A metric unit for measuring mass. 1,000 grams = 1 kilogram The prefix kilois equal to 1,000 kilometer = 1,000 meters kilogram = 1,000 grams centiThe prefix is equal to 100 century = 100 years 100 centimeters = 1 meter liter and milliliter Metric units for measuring capacity. 1,000 milliliters = 1 liter The prefix milli- is equal to 1,000 decimeter A metric unit for measuring length. 10 centimeters = 1 decimeter A decimeter (dm) is about the width of an adult's hand. ante meridiem a.m. The time of day starting at midnight and ending at noon. In Latin, ante meridiem means “before the midday.” post meridiem p.m. The time of day starting at noon and ending at midnight. In Latin, post meridiem means “after midday.” analog clock digital clock colon : The symbol used to separate the hour from the minutes on a digital clock. array A model of multiplication that arranges objects in rows and columns. capacity The amount a container can hold. Customary cups pints quarts gallons capacity The amount a container can hold. Metric milliliters liters kiloliters temperature Freezing Point of Water 32 degrees Fahrenheit 0 degrees Celsius Boiling Point of Water 212 degrees Fahrenheit 100 degrees Celsius Normal Body Temperature 98.6 degrees Fahrenheit 37 degrees Celsius decimals thousandths hundredths , tenths ones tens , hundreds thousands ten thousands hundred thousands millions ten millions hundred millions Place Value Chart ● Example: 634,822 •Standard Form: 634,822 •Word Form: six hundred thirty-four thousand, eight hundred twenty-two •Expanded Form: 600,000 + 30,000 + 4,000 + 800 + 20 + 2 = 634,822 •What is the value of the underlined digit in the number 634,822 = 600,000 •What place value does the underlined digit hold? = hundred thousands Distributive Property of Multiplication The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. break down the 8 into 5 + 3 break down the 16 into 10 + 6 7 x 8 5 x 16 5+3 (7 x 5) + (7 x 3) 35 + 21 = 56 10 + 6 (5 x 10) + (5 x 6) 50 + 30 = 80 Identity Property of Multiplication The property that states that the product of any number and 1 is that number. Examples: 5×1=5 248 x 1 = 248 1×8=8 data Another word for information. Information collected about people or things and can be represented in graph form. diagonal A line segment that connects two vertices of a polygon that are not next to each other. inverse operations opposite operations Operations that undo and check one another. addition and subtraction are inverse operations multiplication and division are inverse operations. even number A number divisible by 2. Numbers ending in 0, 2, 4, 6, or 8. odd number A number NOT divisible by 2. Numbers ending in 1, 3, 5, 7, 9. associative property of multiplication When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. (2 x 3) x 4 = 24 2 x (3 x 4) = 24 (2 x 4) x 3 = 24 also called the Grouping Property addend The numbers added together to form a sum. 7 + 8 = 15 sum factors The numbers that are multiplied in a multiplication problem. 3 x 5 = 15 product sum the answer to an addition problem difference the answer to a subtraction problem product the answer to a multiplication problem quotient the answer to a division problem commutative property of multiplication The property that states that changing the order of the factors does not affect the product. Example: 3 x 5 = 15 and 5 x 3 = 15 line A straight path that extends in both directions without end; marked with an arrowhead at each end. line segment A piece of a line that has two endpoints. parallel lines Two (or more) lines that run the same distance apart at every point and will never intersect. ray A line with one end point that extends non-stop in the opposite direction. angle A shape formed by two rays that share an endpoint. vertex plural: vertices The point where: • two or more rays share an endpoint. • the edges of a solid figure meet. The point at the top of a cone. intersecting lines Two or more lines that meet or cross at a point. perpendicular lines Two lines that intersect and form right angles. protractor Tool used to measure angles. A full circle rotation is equal to 360° (degrees) When divided into four equal sections, each section is worth 90° 360° 90° 90 90°° 270° 90° 90° 90 90 90°°° 180° 90° 1 rotation = 2 rotations = 180° 3 rotations = 270° 4 rotations = 360° right angle An angle measuring 90 degrees. acute angle An angle that measures LESS than 90 degrees. obtuse angle An angle that measures MORE than 90 degrees. straight angle An angle that measures 180 degrees. four criteria for a polygon A polygon is made up of all straight line segments is closed (has no breaks in the line segments) is 2-dimensitional, plane shape has no lines that cross over each other a polygon has line segments, vertices, and angles regular polygon A polygon with all equal sides and all equal angles. irregular polygon A polygon that does NOT have all equal sides and equal angles. four criteria of a rectangle A rectangle: is a quadrilateral. is made up of four line segments. has four 90° angles. is a parallelogram – a four sided polygon with two pairs of parallel sides. parallelogram A quadrilateral (four sided polygon) with two pairs of parallel sides. trapezoid A quadrilateral (four sided polygon) with one pair of parallel sides. congruent • Figures that have the same size AND same shape. • The figures do not have be in the same position. •If you placed the two shapes directly on top of each other they would match up perfectly. similar Figures that have the same shape, but are not the same size. line of symmetry The line that divides a figure in half so that both halves are exactly the same. equilateral triangle A triangle with all three sides of equal length. 3 in. 3 in. 3 in. isosceles triangle A triangle with two sides that are equal and one that is not. 5 in. 5 in. 3 in. scalene triangle A triangle with all sides that are a different length. 8 in. 4 in. 9 in. right triangle A triangle with at least one right angle. triangle A polygon with 3 sides. quadrilateral A polygon with 4 sides. quadrilateral A polygon with 4 sides. parallelograms trapezoids rhombus rhombus A quadrilateral with two pairs of parallel sides and four equal sides. pentagon A polygon with 5 sides. hexagon A polygon with 6 sides. octagon A polygon with 8 sides. decagon A polygon with 10 sides. obtuse triangle A triangle having an obtuse angle. One of the angles of the triangle measures more than 90 degrees. acute triangle A triangle having three acute angles. Which months have 30 days? April June September November Which months have 31 days? January March May July August October December area The number of square units that can fit inside of a shape. To find the _______ , count the square units. area = 9 square units perimeter The distance around the outside of a shape. To find the __________ , add the length of all the sides. 2 cm + 3 cm + 3 cm = 8 cm The perimeter of this figure is 8 centimeters. bar graph vertex vertices (plural) A corner where two or more straight lines meet on a 3-dimenstional shape. vertex denominator The number below the bar in a fraction. It tells the total number of equal parts or groups into which the whole or group has been divided. numerator The number above the bar in a fraction. It tells how many of the equal parts of the whole or group are being considered. Celsius The metric unit for measuring temperature. Fahrenheit Customary or standard unit for measuring temperature. standard form 2,394 A way to write numbers by using the digits 0-9. expanded form 241 = 200 + 40 + 1 word form A way to write numbers by using words. two-hundred fifty-seven key Used on a pictograph to tell how many each picture stands for. line plot line graph A graph that uses a line to show how something changes over time. mixed number Number represented by a whole number and a fraction. 3 5 8 fraction greater than one A fraction in which the numerator is larger than the denominator. 5 3 gram and kilogram A metric unit for measuring mass. 1,000 grams = 1 kilogram The prefix kilois equal to 1,000 kilometer = 1,000 meters kilogram = 1,000 grams centiThe prefix is equal to 100 century = 100 years 100 centimeters = 1 meter liter and milliliter Metric units for measuring capacity. 1,000 milliliters = 1 liter The prefix milli- is equal to 1,000 decimeter A metric unit for measuring length. 10 centimeters = 1 decimeter A decimeter (dm) is about the width of an adult's hand. ante meridiem a.m. The time of day starting at midnight and ending at noon. In Latin, ante meridiem means “before the midday.” post meridiem p.m. The time of day starting at noon and ending at midnight. In Latin, post meridiem means “after midday.” analog clock digital clock colon : The symbol used to separate the hour from the minutes on a digital clock. array A model of multiplication that arranges objects in rows and columns. capacity The amount a container can hold. Customary cups pints quarts gallons capacity The amount a container can hold. Metric milliliters liters kiloliters temperature Freezing Point of Water 32 degrees Fahrenheit 0 degrees Celsius Boiling Point of Water 212 degrees Fahrenheit 100 degrees Celsius Normal Body Temperature 98.6 degrees Fahrenheit 37 degrees Celsius decimals thousandths hundredths , tenths ones tens , hundreds thousands ten thousands hundred thousands millions ten millions hundred millions Place Value Chart ● Example: 634,822 •Standard Form: 634,822 •Word Form: six hundred thirty-four thousand, eight hundred twenty-two •Expanded Form: 600,000 + 30,000 + 4,000 + 800 + 20 + 2 = 634,822 •What is the value of the underlined digit in the number 634,822 = 600,000 •What place value does the underlined digit hold? = hundred thousands Distributive Property of Multiplication The property that states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. break down the 8 into 5 + 3 break down the 16 into 10 + 6 7 x 8 5 x 16 5+3 (7 x 5) + (7 x 3) 35 + 21 = 56 10 + 6 (5 x 10) + (5 x 6) 50 + 30 = 80 Identity Property of Multiplication The property that states that the product of any number and 1 is that number. Examples: 5×1=5 248 x 1 = 248 1×8=8 data Another word for information. Information collected about people or things and can be represented in graph form. diagonal A line segment that connects two vertices of a polygon that are not next to each other. inverse operations opposite operations Operations that undo and check one another. addition and subtraction are inverse operations multiplication and division are inverse operations.