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Math Study Guides Notes

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Published in: Mathematics
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I have many different study guides and resources for High/Middle School math.

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  1. 7th Grade Vocabulary Cards and Word Walls Revised: August 29, 2011 Important Notes for Teachers: The vocabulary cards in this file match the Common Core, the math curriculum adopted by the Utah State Board of Education, August 2010. The cards are arranged alphabetically. Each card has three sections. o Section I is only the word. This is to be used as a visual aid in spelling and pronunciation. It is also used when students are writing their own "kid-friendly" definition and drawing their own graphic. o Section 2 has the word and a graphic. This graphic is available to be used as a model by the teacher. o Section 3 has the word, a graphic, and a definition. This is to be used for the Word Wall in the classroom. For more information on using a Word Wall for Daily Review see "Vocabulary Word Wall Ideas" on this website. These cards are designed to help all students with math content vocabulary, including ELL, Gifted and Talented, Special Education, and Regular Education students. For possible additions or corrections to the vocabulary cards, please contact the Granite School District Math Department at 385-646-4239. Bibliography of Definition Sources: Algebra to Go, Great Source, 2000. ISBN 0-669-46151-8 Math on call, Great Source, 2004. ISBN-13: 978-0-669-50819-2 Math at Hand, Great Source, 1999. ISBN 0-669-46922 Math to Know, Great Source, 2000. ISBN 0-669-47153-4 Illustrated Dictionary of Math, Usborne Publishing Ltd., 2003. ISBN 0-7945-0662-3 Math Dictionary, Eula Ewing Monroe, Boyds Mills Press, 2006. ISBN-13: 978-1-59078-413-6 Everyday Mathematics, 2007. Houghton-Mifflin eGlossary, http://www.eduplace.com Interactive Math Dictionary, http://www.amathsdictionaryforkids.com
  2. absolute value absolute value absolute value 51=5 The distance of a number from zero on the number line. Always positive.
  3. acute triangle acute triangle acute A triangle with no angle measuring 900 or more. triangle
  4. additive inverse additive inverse 3 additive 3 is the additive inverse, or opposite, of -3 3 is the additive inverse, or opposite, of 3 inverse 3 is the additive inverse, or opposite, of -3 3 is the additive inverse, or opposite, of 3 A number that is the same distance from 0 on the number line, but in the opposite direction
  5. adjacent angle adjacent angle adjacent B D ZABC is adjacent to ZCBD. angle B Z ABC is adjacent to Z CBD. Two angles in a plane that have a common vertex and a common side. They do not have any common interior points. In other words, they do not share any "inside space.'
  6. area 2 rows of 5 = 10 square units or 2 x 5 = 10 square units area area 2 rows of 5 = 10 square units or 2 x 5 = 10 square units The measure, in square units, of the interior region of a 2-dimensional figure or the surface of a 3-dimensional figure.
  7. area area (circle) area (circle) 7tr 7tr The measure, in square units, of the interior region of a 2- dimensional figure. The formula for the area of a circle, A =
  8. area (regular polygon) area (regular polygon) area (regular polygon) A = —ap or A — 2 2 A = —ap or A — 2 2 a = apothem s = side length P — perimeter n = number of sides a = apothem s — side length P — perimeter n = number of sides The area of a polygon is the measurement of the 2-dimensional region enclosed by the polygon.
  9. area (quadrilateral) area (quadrilateral) rectangle: A rectangle : A = bh b 2 square: A = s rhombus or kite : trapezoid : A b2 dld2 2 area (quadrilateral) b square: A 2 = — (bl + b2)h rhombus or kite : A = —did2 2 d2 trapezoid: A = —(bl -kb2)h Area is the measurement of the 2-dimensional region enclosed by the quadrilateral.
  10. area (triangle) area (triangle) area (triangle) b The area of a triangle is A -bh, 2 where b = the base and h = the vertical height. b
  11. axis axis y-axis axis y-axis x-axis x-axis A reference line from which distances or angles are measured in a coordinate grid. (plural — axes)
  12. circumference circumference circumference C = rd or C = 2nr The distance around a circle, which equals a little more than three times its diameter. C = rd or C = 27tr
  13. coefficient coefficient coefficient / coefficient coefficient A numerical factor in a term of an algebraic expression.
  14. commissions commissions commissions Mr. Bennie receives a 30% commission on each car that he sells. A fee charged by a broker or agent for his/her service in facilitating a transaction. Mr. Bennie receives a 300 0 commission on each car that he sells.
  15. complementary angles 300 s complementary mZQRS + mZSRT - 90 600 angles complementary angles mz—J + — 90 450 450 Two angles are 300 s mZQRS + mZSRT = 90 complementary if they 600 add up to 900 (right angle). They don't have to be next to each other. 90 450 mz-J -k 450
  16. compound event compound event compound event What is the probability of tossing a head on a quarter and rolling a '3' on a die? Two or more independent events considered together. What is the probability of tossing a head on a quarter and rolling a '3' on a die?
  17. coordinate plane coordinate plane coordinate plane A 2-dimensional system in which the coordinates of a point are its distances from two intersecting, usually perpendicular, straight lines called axes. (Also called coordinate grid or coordinate system.)
  18. coordinate system coordinate system coordinate system x x Also known as a coordinate grid. A 2-dimensional system in which the coordinates of a point are its distances from two intersecting, usually perpendicular, straight lines called axes.
  19. coordinates coordinates (x y) coordinates An ordered pair of numbers that identify a point on a coordinate plane. (x y)
  20. cube cube cube A three-dimensional shape with six square faces.
  21. data Number of School Carnival Tickets Sold data data Kindergarten I Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th Grade Number of School Carnival Tickets Sold Kindergarten I Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th Grade 22 15 34 9 16 29 11 22 15 34 9 16 29 11 Information, especially numerical information. Usually organized for analysis.
  22. degree of visual overlap degree of visual overlap degree of visual overlap x Describes the separation (or lack of separation) between two distributions.
  23. diagram diagram A car travels 300 miles on 12 gallons of gas. 300 miles 300 miles diagram A car travels 300 miles on 12 gallons of gas. 300 miles 300 miles A drawing that represents a mathematical situation.
  24. Distributive Property Distributive Property Distributive Property Example: Example: 5 a • (b + c) = (a • b) + (a • c) and where a, b, and c stand for any real numbers.
  25. equation equation equation A statement that shows two mathematical expressions are equal.
  26. equilateral triangle equilateral triangle equilateral triangle A triangle whose sides are all the same length.
  27. estimate estimate estimate How many jelly beans are in the jar? To find a number close to an exact amount; an estimate tells about How many jelly how much or about beans are in the jar? how many.
  28. evaluate 42 — 13 n evaluate 42 — 13 n evaluate n = 29 To find the value of a mathematical expression.
  29. event event What is the probability of drawing a five of diamonds out of a set of playing cards? 1 P(5 of diamonds) — 52 5 event What is the probability of drawing a five of diamonds out of a set of playing cards? 1 P(5 of diamonds) — 52 5 A set of outcomes to which a probability is assigned.
  30. expression expression 5x+3 expression A variable or combination of variables, numbers, and symbols that represents a mathematical relationship.
  31. factor factor factor factors An integer that divides evenly into another. factors
  32. frequency Tally frequency frequency bicycL P 1 1 i n g T e S t Frequency 1 1 3 1 4 5 6 5 3 1 Score 1 2 3 4 5 6 7 8 9 10 Frequency 1 1 3 1 4 5 6 5 3 1 P i n g S t Score 1 2 3 4 5 6 7 8 9 10 Tall The number of times an event occurs within a specific time period.
  33. geometric figure geometric figure geometric figure Any combination of points, lines, planes, or curves in two or three dimensions.
  34. graph graph Students Taking Bus graph 120 100 80 60 40 20 0 5th Grade 6th Grade 7th Grade Students Taking Bus 120 100 80 60 40 20 0 5th Grade 6th Grade 7th Grade 8th Grade A pictorial device used to show a numerical relationship. 8th Grade
  35. gratuities gratuities gratuities Samantha paid the waiter a $7.50 tip for the delicious dinner he served. Samantha paid the waiter a $7.50 tip for the delicious dinner he served. Something given voluntarily or beyond obligation usually for some service: tip.
  36. inequality 5x+6
  37. inferences Every 10 years, the United States Census Bureau surveys the entire United States and organizes all the data they collect. The inferences government then uses statistics to organize and analyze the data to make logical conclusions about what kind of things may happen to us in the future. inferences Every 10 years, the United States Census Bureau surveys the entire United States and organizes all the data they collect. The government then uses statistics to organize and analyze the data to make logical conclusions about what kind of things may happen to us in the future. IT'S IN OUR HANDS United States' Census 2010 IT'S IN OUR HANDS United States Census 2010 The act or process of deriving logical conclusions from premises known or assumed to be true.
  38. integers START integers -10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 8 9 10 START The set of whole numbers and their opposites.
  39. isosceles triangle isosceles triangle isosceles A triangle that has at least two congruent sides. triangle
  40. likely event P(number < 5) likely An event that is most likely to happen. 2 3 likely event event 4 P(number < 5) — 6
  41. long division long division long division 332 23 7636 -69 73 -69 46 -46 332 R O 23 7636 -69 73 -69 46 -46 A standard procedure suitable for dividing simple or complex multi-digit numbers.
  42. markdowns markdowns An item originally priced at $55 is marked 2500 off What is the sale price? First, I'll find the markdown. The markdown is 25% of the original price of $55, so: 13.75 By subtracting this markdown from the original price, I can find the sale price: 55 - 13.75 = 41.25 The sale price is $41.25. markdowns An item originally priced at $55 is marked 2500 off What is the sale price? First, I'll find the markdown. The markdown is 25% of the original price of $55, so: 13.75 07} By subtracting this markdown from the original price, I can find the sale price: 55 - 13.75 = 41.25 The sale price is $41.25. The amount by which a price is reduced.
  43. markups A computer software retailer used a markup rate of 4000. Find the selling price of a computer game that cost the retailer $25. The markup is 40% of the $25 cost, so markups the markup is: 10 Then the selling price, being the cost plus markup, is: 25+10-35 The item sold for $35. A $10 profit. markups A computer software retailer used a markup rate of 4000. Find the selling price of a computer game that cost the retailer $25. The markup is 40% of the $25 cost, so the markup is: 10 Then the selling price, being the cost plus markup, is: 25+10-35 The item sold for $35. A $10 profit. An amount added to the cost price to determine the selling price; broadly: profit
  44. mean absolute deviation mean absolute deviation mean absolute deviation The weights of the three people are 56 kgs, 78 kgs, and 88 kgs. The weights of the three people are 56 kgs, 78 kgs, and 88 kgs. step 1: Find the mean. (56+78+88)/3 = 74 Step 2: Determine the deviation of each variable from the mean. 56 74=-18 78-74=4 90-74=16 Step 3: Make the deviation 'absolute' by taking the absolute value of each deviation. (eliminate the negative) Step 4: (18 +4 + 16)/3 = 12.67 is the mean absolute deviation. step 1: Find the mean. (56+78+88)/3 = 74 Step 2: Determine the deviation of each variable from the mean. 56 - 74 = -18 78-74=4 90-74=16 Step 3: Make the deviation 'absolute' by taking the absolute value of each deviation. (eliminate the negative) Step 4: (18 +4 + 16)/ 3 = 12.67 is the mean absolute deviation. In statistics, the absolute deviation of an element of a data set is the absolute difference between that element and a given point.
  45. measure measure of center of center 1 2 3 4 Number of Pets 5 measure of center 1 Examples: Mode = 1 Median = 2 Mean 2.3 2 3 4 Number of Pets 5 Examples: Mode = 1 Median = 2 Mean = 2.3 An average; a single value that is used to represent a collection of data. Three commonly used types of averages are mode, median, and mean. (Also called measures of central tendency or measures of average.)
  46. measure of variation measure of variation measure of variation Range 1 2 3 4 5 4 1 Number of Pets Range = 4 5 A measure of how much a collection of data is spread out. Commonly used types include range and quartiles. (Also known as spread or dispersion.) 2 3 4 Number of Pets
  47. N/A
  48. N/A

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