Line of symmetry.. 21 Point. 31 Line plot.. 22 Pound.. 31 Line segment 22 Prime number 32 Long division. 23 Protractor. 32 Mass 23 Quart 33 Metric

Transcription

1 Table of Contents Acute angle.. 1 Denominator 11 Acute triangle. 1 Diagonal.. 12 Adjacent angle 2 Distributive property. 12 Angle. 2 Divisible.. 13 Arc.. 3 Divisor.. 13 Associative Property.. 3 Equilateral triangle. 14 Benchmark 4 Figure 14 Collinear. 4 Formula.. 15 Common denominator. 5 Fraction expanded form. 15 Complementary angles 5 Fraction greater than 1 16 Composite number. 6 Gallon 16 Convert 6 Hundred millions.. 17 Cup. 7 Hundred thousands 17 Customary system.. 8 Hundredth. 18 Customary unit.. 8 Interior of an angle. 18 Decimal expanded form... 9 Intersecting lines.. 19 Decimal fraction 9 Isosceles triangle.. 19 Decimal number 10 Kilometer 20 Decimal point. 10 Length of an arc 20 Degree/Degree of measure.. 11 Line. 21

2 Line of symmetry.. 21 Point. 31 Line plot.. 22 Pound.. 31 Line segment 22 Prime number 32 Long division. 23 Protractor. 32 Mass 23 Quart 33 Metric system.. 24 Ray. 33 Metric unit. 24 Remainder 34 Milliliter 25 Right angle 34 Millions. 25 Right triangle.. 35 Mixed number. 26 Scalene triangle. 35 Mixed units 26 Straight angle. 36 Numerator. 27 Supplementary angles. 36 Obtuse angle 27 Ten millions. 37 Obtuse triangle 28 Ten thousands 37 Ounce 28 Tenth 38 Parallel.. 29 Triangle.. 38 Partial products.. 29 Variable.. 39 Perpendicular.. 30 Vertex.. 39 Pint.. 30 Vertical angles 40

3 Acute angle: angle of less than 90 degrees. Acute angle angle measures less than 90 degrees Acute triangle: triangle with all interior angles measuring less than 90 degrees. Acute triangle triangle all interior (inside) angles measure less than 90 degrees E. Fischer & N. Robson Page 1

4 Adjacent angles: two angles <AOC and <COB, with a common side, ray OC, are adjacent angles if C is in the interior of <AOB. Adjacent angles two angles common side next to each other Angle: union of two different rays sharing a common vertex, e.g. <ABC. Angle joining of rays shares a common vertex Page 2

5 Arc: connected portion of a circle. Arc part of a circumference of a circle part of any curve Associative property: states that you can add or multiply regardless of how the numbers are grouped. Associative property grouping factors product/sum remains the same Example, Illustration, Chart, or Table Module(s): 3 M. Henry Page 3

6 Benchmark: standard or reference point by which something is measured. Benchmark specific point by which something is measured Module(s): 5 Collinear: three or more points are collinear if there is a line containing all of the points; otherwise, the points are non-collinear. J. Fudella Collinear straight line containing 3 or more points A. Jaworski Page 4

7 Common denominator: when two or more fractions have the same denominator. Common denominator Module(s): 5 2 or more fractions same number on the bottom to add/ subtract fractions if they have a common denominator Complementary angles: two angles with the sum of 90 degrees. 20 single bags (total) is the common denominator! Complementary angles angles add up to 90 degrees Page 5

8 Composite number: positive integer having 3 or more whole number factors. Composite number positive integer (whole number) 3 or more whole number factors Module(s): 3 Convert: express a measurement in a different unit; rename units. E. Fischer & N. Robson Convert change express a measurement different unit rename units Module(s): 2, 7 J. Cheney Page 6

9 Cup: customary unit of measure for liquid volume. Cup (c) a unit of capacity or volu me 16 cups equals 1 gallon 4 cups equals 1 quart Module(s): 7 Customary system of measurement: measurement system commonly used in the United States that includes such units as yards, pounds, and gallons. Customary system of measurement Module(s): 7 system of measurement used in the United States LENGTH: inches, feet, yards WEIGHT: ounces, pounds, tons CAPACITY: cups, quarts, liters, gallons TEMPERATURE: Fahrenheit D. Fercher-Licht Page 7

10 Customary unit: the units of measurement in use in the United States. Customary unit units of measurement Module(s): 7 A. Jaworski Decimal expanded form: writing a number in a way that shows each digit as a decimal. Decimal expanded form number sum of decimals each digit being added to create number Module(s): 6 Khan Academy video R. Fischer & P. Guinan Page 8

11 Decimal fraction: fraction with a denominator of 10, 100, 1000, etc. Decimal fraction fraction denominator of 10, 100, 1,000, etc. Module(s): 6 R. Fischer & P. Guinan Decimal number: number written using place value units that are powers of 10. Decimal number Module(s): 6 based on place value contains a decimal point can have 1 or more digits to the right of the decimal point R. Fischer & P. Guinan Page 9

12 Decimal point: period used to separate the whole number part from the fractional part of a decimal number. Decimal point symbol separates the ones from the tenths Module(s): 6 R. Fischer & P. Guinan Degree, degree measure of an angle: subdivide the length around a circle into 360 arcs of equal length. A central angle for any of these arcs is called a one-degree angle and is said to have an angle measurement of 1. Degree, degree measure of an angle measurement for arcs and angles 360 degrees in a circle Page 10

13 Denominator: the part of a fraction that is below the line and that functions as the divisor of the numerator. Denominator Module(s): 5 the bottom number in a fraction shows how many equal parts the item is divided into represents the whole Diagonal: straight lines joining two opposite corners of a straight sided shape. Diagonal straight lines slanted Page 11

14 Distributive property: allows you to multiply a sum by multiplying each addend separately and then add the products. Distributive property Module(s): 3 multiply a sum multiply each addend add the products form equivalent expression Divisible: a number is said to be divisible by another number if the remainder is 0 after dividing. D. Grover Divisible when one number can be divided by another and the result is an exact whole Module(s): Page 12

15 Divisor: the number by which another number is divided. Divisor number divide by Module(s): 3 Equilateral triangle: triangle with three equal sides. J. Lane Equilateral triangle triangle all three sides equal all angles measure 60 degrees Page 13

16 Figure: set of points in the plane. Figure a thing that can be seen only as a shape or outline Formula: a mathematical rule expressed as an equation with numbers and/or variables. Formula Module(s): 3 rule expressed as an equation uses numbers, signs and/or variables Area = length width A = l w Perimeter = side + side + side + side P = s + s + s + s P = 2l + 2w J. Cheney Page 14

17 Fraction expanded form: writing a number in a way that shows each digit as a fraction. Fraction expanded form Module(s): 6 number sum of fractions each digit being added to create number Fraction greater than 1: a fraction with a numerator that is greater than the denominator. Khan Academy Video 1 Khan Academy Video 2 R. Fischer & P. Guinan Fraction greater than 1 numerator (top digit) is greater than the denominator (bottom digit) Module(s): 5 M. Clark Page 15

18 Gallon: customary unit of measure for liquid volume. Gallon (gal) liquid unit equal to four quarts equal to 16 cups equal to 8 pints Module(s): 7 Hundred millions: place value representing the product of ten thousand and ten thousand. Hundred millions number 100,000,000 10,000 x 10,000 Module(s): Page 16

19 Hundred thousands: place value that is the product of one hundred and one thousand. Hundred thousands number 100, x 1,000 Module(s): 1 K. Connolly Hundredth: place value unit such that 100 hundredths equals 1 one. Hundredth 100 equal parts when a whole is divided one part Module(s): 6 J. Cooke Page 17

20 Interior of an angle: the convex region defined by the angle. Interior of an angle an angle inside a shape Intersecting lines: lines that contain at least one point in common. K. Page Intersecting lines lines cross at least one common point Page 18

21 Isosceles triangle: triangle with at least two equal sides. Isosceles triangle triangle two equal sides angles opposite the equal sides are also equal Kilometer: a unit of measure for length. J. Lane Kilometer (km) measurement km 1,000 meters Module(s): 2 Walk around twice! Page 19

22 Length of an arc: circular distance around the arc. Length of an arc how long the arc is does not affect the size of the angle Line: straight path that extends in both directions without end. J. Fudella Line straight goes in both directions no ending arrows on each end makes a 180 degree angle Page 20

23 Line of symmetry: line through a figure such that when the figure is folded along the line, two halves are created that match up exactly. Line of symmetry line through a figure when the figure is folded along the line, two halves are created match up exactly Line plot: display of data on a number line, using an x or another mark to show frequency. E. Fischer & N. Robson Line plot displays information has points above a number line that show frequency Module(s): Page 21

24 Line segment: two points, A and B, together with the set of points on the line AB between A and B. Line segment part of a line two points connected with a line Long division: process of dividing a large dividend using several recorded steps. Long division Module(s): 3 skip count by the divisor to see how many times it goes into the dividend multiply by that number subtract the answer bring down next number repeat the steps M. Clark Page 22

25 Mass: the measure of the amount of matter in an object. Mass measurement amount of matter measured by scales Module(s): 2 Metric system of measurement: base ten system of measurement used internationally that includes such units as meters, kilograms, and liters. Metric system of measurement Module(s): 2, 7 system of measurement used by most of the world based on units of 10 LENGTH: centimeters, meters, kilometers WEIGHT/MASS: grams, kilograms CAPACITY: milliliters, liters TEMPERATURE: Celsius D. Fercher-Licht Page 23

26 Metric unit: units of measure based on the metric system (a system used by most of the world that is based on units of 10). units of measure Metric unit LENGTH: centimeters, meters, kilometers WEIGHT/MASS: grams, kilograms CAPACITY: milliliters, liters Module(s): 2, 7 Milliliter: unit of measure for liquid volume. D. Fercher-Licht Milliliter (ml) Module(s): 7 measures the amount of liquid used for small amounts of liquid 1,000 ml = 1L the abbreviation is ml metric system J. Fudella Page 24

27 Millions: place value representing the product of a thousand and a thousand. Millions Module(s): 1 number 1,000,000 1,000 x 1,000 number between 1,000,000 and 999,999,999 Mixed number: number made up of a whole number and a fraction. Representation of 1 million Mixed number number whole number fraction Module(s): 5, 6 D. Fercher-Licht Page 25

28 Mixed units: a set or a pair of units from the same customary measurement family each having a different unit of measurement. Mixed units Module(s): 2 two units different from each other same family unit 2 thousands 437 ones = 2,437 ones 2 kilometers 437 meters = 2,437 meters 2 kilograms 437 grams = 2,437 grams 2 liters 437 milliliters = 2,437 milliliters Numerator: how many equal parts you have from the total number of equal parts (denominator). M. Clark Numerator Module(s): 5 number equal parts from total parts A pizza is cut in four pieces. 3 pieces remain. That represents our numerator. M. Henry Page 26

29 Obtuse angle: angle with more than 90 degrees but less than 180 degrees. Obtuse angle angle measures greater than 90 degrees and less than 180 degrees Obtuse triangle: triangle with an interior obtuse angle. triangle obtuse angle Obtuse triangle Page 27

30 Ounce: customary unit of measure for weight. Ounce (oz) unit of measure weight a small amount Module(s): 2, 7 Parallel: lines that are always the same distance apart. They do not intersect. J. Lane Parallel lines are the same distance apart lines DO NOT intersect J. Cooke Page 28

31 Partial products: a method of multiplying in which the value of each digit in one factor is multiplied by the value of each digit in the other factor. The final product is the sum of the partial products. Partial products Module(s): 3 method of multiplication value of each digit sum of partial products Perpendicular: two lines are perpendicular if they interest, and any of the angles formed between the lines is a 90 o angle, e.g., line segment AB _ _ line segment CD. M. Henry Perpendicular two (2) intersecting lines must form right angles J. Cooke Page 29

32 Pint: customary unit of measure for a liquid volume. Pint (pt) half of a quart two cups equal a pint Module(s): 7 Point: the precise location on a plane. A. Tuzzalo Point exact location no size only position usually has a name like A or B Page 30

33 Pound: customary unit of measure for weight. Pound (lb) a measure of weight 16 ounces Module(s): 7 Prime number: positive integer greater than 1 having whole number factors of only 1 and itself. A. Jaworski Prime number Module(s): 3 positive integer (whole number) greater than 1 whole number factors of 1 and itself E. Fischer & N. Robson Page 31

34 Protractor: instrument used in measuring or sketching angles. Protractor tool measuring angles sketching angles Quart: customary unit of measure for liquid volume. J. Cheney Quart (qt) a way to measure liquid a quarter of a gallon U.S customary system Module(s): 7 J. Fudella Page 32

35 Ray: the ray OA is the point O and the set of all points on the line OA that are on the same side of O as the point A. Ray line with a start point but no end point one side goes to infinity Remainder: the number left over when one integer is divided by another. an amount left over after dividing Remainder Module(s): Page 33

36 Right angle: angle formed by perpendicular lines, measuring 90 degrees. Right angle angle 90 degrees perpendicular lines when they intersect Right triangle: triangle that contains one 90 degree angle. Right triangle triangle one 90 degree angle D. Fercher-Licht Page 34

37 Scalene triangle: a triangle with no sides or angles equal. Scalene triangle triangle all sides have different lengths all angle measurements are different J. Cooke Straight angle: angles that measure 180 degrees. Straight angle angle 180 degrees straight Page 35

38 Supplementary angles: two angles with a sum of 180 degrees. Supplementary angles angles add up to 180 degrees Ten millions: place value representing the product of ten thousand and a thousand. D. Fercher-Licht Ten millions number 10,000,000 10,000 x 1,000 Module(s): Page 36

39 Ten thousands: place value that is the product of ten and one thousand. Ten thousands number 10, x 1,000 Module(s): 1 Tenth: place value unit such that 10 tenths equals 1 one. K. Connolly Tenth 10 equal parts when a whole is divided one part Module(s): 6 J. Cooke Page 37

40 Triangle: a triangle consists of three non-collinear points and three line segments between them. The three segments are called the sides of the triangle, and the three points are called the vertices. Triangle polygon three angles three sides Variable: letters that stand for numbers and can be added, subtracted, multiplied, and divided, as numbers are. Variable Module(s): 1 letters stand for numbers can be added, subtracted, multiplied, and divided A. Jaworski Page 38

41 Vertex: a point, often used to refer to the point where two lines meet, such as in an angle or the corner of a triangle. Vertex a point two or more straight lines or rays meet a corner A. Jaworski Vertical angles: when two lines intersect, any two non-adjacent angles formed by those lines are called vertical angles or vertically opposite angles. Vertical angles angles opposite of each other always equal measure Page 39