Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
History of trigonometry wikipedia , lookup
Line (geometry) wikipedia , lookup
Positional notation wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Approximations of π wikipedia , lookup
Location arithmetic wikipedia , lookup
Elementary arithmetic wikipedia , lookup
Word Problem Clue Words Addition add raise sum gain total all plus successive both altogether also perimeter together combined in all how much how many additional increased by more than more (before question) and (between 2 #s) Multiplication times twice of area at double triple factor total multiple product of altogether multiplied by how many how much multiply in all combinations at this rate percent of fraction of groups of how many ways per (before question) how many different one (before question) how many outfits each (before question) every (before question) apiece (before question) apiece (before question) When do I add? *When comparing things that are the same (cars & cars) *When your answer needs to be bigger When do I multiply? *When comparing different things (cars & money) *When your answer needs to be bigger *When given price for 1 item, but need price of many items *When given size of 1 item, but need size of many *When given length of 1 item, but need length of many items Subtraction subtract then rest remain take away decreased by more (in question) difference than less are not less than change not (in question) Division half separated pairs distribute equal divide needed dividend cut up same number divided into quotient of find the average each (in question) one (in question) per (in question) split parts share ratio evenly groups divisor out of equal parts shared equally divided by as much part of every (in question) apiece (in question) When do I subtract? *When there are opposites in a problem (empty & full) *When comparing things that are the same (cars & cars) *When the numbers need to be smaller When do I divide? *When comparing different things (cars & money) *When putting things into equal groups *When you need to know how many groups *When your answer needs to be smaller *When given price of many items, but need price of 1 *When given size of many items, but need size of 1 *When given length of many items, but need length of 1 item Multiplication Facts 1x0=0 1x1=1 1x2=2 1x3=3 1x4=4 1x5=5 1x6=6 1x7=7 1x8=8 1x9=9 1 x 10 = 10 1 x 11 = 11 1 x 12 = 12 2x0=0 2x2=4 2x3=6 2x4=8 2 x 5 = 10 2 x 6 = 12 2 x 7 = 14 2 x 8 = 16 2 x 9 = 18 2 x 10 = 20 2 x 11 = 22 2 x 12 = 24 3x0=0 3x3=9 3 x 4 = 12 3 x 5 = 15 3 x 6 = 18 3 x 7 = 21 3 x 8 = 24 3 x 9 = 27 3 x 10 = 30 3 x 11 = 33 3 x 12 = 36 8x0=0 8 x 8 = 64 8 x 9 = 72 8 x 10 = 80 8 x 11 = 88 8 x 12 = 96 9x0=0 9 x 9 = 81 9 x 10 = 90 9 x 11 = 99 9 x 12 = 108 10 x 0 = 0 10 x 10 = 100 10 x 11 = 110 10 x 12 = 120 4x0=0 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24 4 x 7 = 28 4 x 8 = 32 4 x 9 = 36 4 x 10 = 40 4 x 11 = 44 4 x 12 = 48 5x0=0 5 x 5 = 25 5 x 6 =30 5 x 7 = 35 5 x 8 = 40 5 x 9 = 45 5 x 10 = 50 5 x 11 = 55 5 x 12 = 60 11 x 0 = 0 11 x 11 = 121 11 x 12 = 132 6x0=0 6 x 6 = 36 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54 6 x 10 = 60 6 x 11 = 66 6 x 12 = 72 7x0=0 7 x 7 = 49 7 x 8 = 56 7 x 9 = 63 7 x 10 = 70 7 x 11 = 77 7 x 12 = 84 12 x 0 = 0 12 x 12 = 144 Number Sense Vocabulary 1) prime number - # that can only be divided evenly by 1 & itself 2) composite number - # that can be divided evenly by more than just 1 & itself 3) factor - # that will divide evenly into another # (Ex: 12 = 1, 2, 3, 4, 6, 12) or the #s that are multiplied together (Ex: 3 x 6 = 18) 4) multiple - # that is multiplied by other whole numbers (Ex: 5 = 5, 10, 15, 20, 25 …) (Skip Counting) 5) fraction – part of a whole # (Ex: ¾) 6) mixed number – a whole number and part of a whole # (Ex: 1 ¾) 7) numerator – top # of a fraction or # of shaded parts in a picture of a whole 8) denominator – bottom # of a fraction or the total # of parts that make up a whole 9) row – across 10) column – up & down 11) diagonal – one corner to its opposite corner Time 60 seconds = 1 minute 7 days = 1 week 365 days = 1 year 100 years = 1 century 60 minutes = 1 hour 52 weeks = 1 year 366 days = a leap year 1,000 years = 1 millennium 24 hours = 1 day 28 – 31 days = 1 month 10 years = 1 decade Measurement Abbreviations mm = millimeter cm = centimeter m = meter L = liter kL = kiloliter c = cup pt = pint oz = ounce lb = pound doz = dozen in. = inch km = kilometer mL = milliliter qt = quart gal = gallon ft = foot yd = yard Number Sense Vocabulary 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) expanded form – one way to write a number (Ex: 2,000 + 300 + 40 + 6) standard form – one way to write a number (Ex: 2,346) word/ written form - one way to write a number (Ex: two thousand, three hundred forty-six) digit – symbols used to write numbers (Ex: 0, 1, 2, 3, 4, 5, 6, 7, 8, & 9) value – amount that a digit stands for (Ex: 2,346 – value of 3 = 300) place – the position of a # on the place value chart (Ex: 2,346 – 3 is in the hundreds place) period – a group of 3 #s that are separated by commas on a place value chart (Ex: 345, 876,123) rounding – replacing one # with another # that tells about how many or how much (Ex: 1,456 = 1,500) sum – answer to an addition problem (5 + 6 = 11) addends – #s added together to find a sum (Ex: 5 + 6 = 11) difference – answer to a subtraction problem fact family – group of related facts using the same set of #s (Ex: 3 + 4 = 7; 4 + 3 = 7; 7 – 3 = 4; 7 – 4 = 3 or 4 x 5 = 20, 5 x 4 = 20; 20 /4 = 5; 20 / 5 = 4) front-end estimation – way to estimate a sum by adding the 1st digit of each addend (Ex: 1,234 + 4,567 = 1,000 + 4,000 = 5,000) dividend – the # that is to be divided (Ex: 48 / 6 = 8 divisor - # by which another # is divided (Ex: 48 / 6 = 8) quotient – answer to a division problem (Ex: 48 / 6 = 8) product – answer to a multiplication problem (Ex: 8 x 6 = 48) Distributive Property – breaking apart problems into 2 simpler problems (Ex: 3 x 21 = 3 x 20 + 3 x 1 = 63 19) penny = 1 or $0.01 nickel = 5 or $0.05 20) tenth – one part out of the ten equal parts #### dime = 10 or $0.10 quarter = 25 or $0.25 21) hundredth – one part out of 100 equal parts Place Value Chart billions hundred millions ten millions millions hundred ten thousands thousands thousands hundreds Divisibility Rules 1) 2) 3) 4) 5) 6) 7) 8) 9) A # is divisible by 2 if it ends in an even #. A # is divisible by 3 if the sum of the digits can be divided evenly by 3. A # is divisible by 4 if the last two digits can be divided evenly by 4. A # is divisible by 5 if the # ends in a 0 or 5. A # is divisible by 6 if it can be divided evenly by both 2 and 3. A # is divisible by 8 if the last three digits can be divided evenly by 8. A # is divisible by 9 if sum of the digits can be divided evenly by 9. A # is divisible by 10 if the # ends in 0. A # is divisible by 12 if it can be divided evenly by both 3 and 4. tens ones . de ci m al Geometry Vocabulary 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 39) 40) 41) 42) 43) acute angle – angle smaller than a right angle (Smaller than 90 degrees) obtuse angle – angle that is greater than a right angle (Bigger than 90 degrees) right angle – angle that forms a square corner (90 degrees) equilateral triangle – triangle where all sides are same length face – the flat side of a solid figure triangle – polygon with 3 sides quadrilateral – polygon with 4 sides pentagon – polygon with 5 sides hexagon – polygon with 6 sides heptagon – polygon with 7 sides octagon – polygon with 8 sides polygon – closed plane figure with straight sides intersecting lines – lines that cross at one point congruent – same size & same shape cube – cylinder – line – straight path of points that goes on & on in 2 directions net – pattern used to make a solid parallel lines – lines that never intersect or touch parallelogram – quadrilateral in which opposite sides are parallel perpendicular lines – 2 intersecting lines that form right angles pyramid – ray – a part of a line that has one endpoint & endlessly goes in one direction rectangular prism – rectangular pyramid – rhombus – quadrilateral where opposite sides are parallel & all sides same length side – each of the line segments of a polygon similar – same shape, but may/may not be same size solid – figure that has length, width, & height sphere – square pyramid – rectangle – quadrilateral with 4 right angles square – quadrilateral with 4 right angles & all sides have same length trapezoid – quadrilateral with 1 pair of parallel sides vertex (vertices) – point where 2 rays meet cone – diameter – line segment that connects 2 points on a circle & passes through the center line of symmetry – line on which a figure can be folded so that both halves are congruent line segment – part of a line that has 2 endpoints radius – any line segment that connects the center to a point on the circle translation (slide) – moves a figure up, down, or sideways rotation (turn) – moves a figure around a point reflection (flip) – to turn a figure over (Ex: looking at object in mirror)