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Math Glossary: the letter S

56 terms from elementary arithmetic to high-school geometry, algebra and statistics, each with a drawing.

56 terms main ideawhat the term names
$40 $30 sale price

Sale price

The price of an item after a discount is taken off the regular price.

$20 + 8% tax 8% of $20 = $1.60 $21.60

Sales tax

A tax added to the price of goods when they are bought, usually a percent of the price.

sample

Sample

A part of a population chosen to collect data from, so you can draw conclusions about the whole population.

H/TH/T {HH, HT, TH, TT} 4 outcomes

Sample space

The set of all possible outcomes of a probability experiment.

SSA

SAS congruence

Side-Angle-Side: two triangles are congruent if two sides and the angle between them are equal.

01020 km 1 cm : 5 km

Scale

The ratio of a length on a map or drawing to the actual length it represents, such as 1 cm : 5 km.

1 : 3 same shape

Scale drawing

A drawing of an object with all lengths reduced or enlarged by the same scale.

2 × 16 × 3 k = 3

Scale factor

The number every length is multiplied by to enlarge or reduce a figure.

all sides different

Scalene triangle

A triangle with no equal sides and no equal angles.

xy

Scatter plot

A graph of points that shows the relationship between two sets of data; also called a scattergram.

45,000 = 4.5 × 10⁴

Scientific notation

A way to write a number as a number from 1 up to (but not including) 10, multiplied by a power of ten.

Secant (of a circle)

A line that crosses a circle at exactly two points.

Sector

The part of a circle bounded by two radii and the arc between them, shaped like a slice of pie.

AB

Segment

Part of a line with two endpoints; also called a line segment.

diameter

Semicircle

Half of a circle, cut off by a diameter. Its arc measures 180°.

25811 … terms in order

Sequence

An ordered list of numbers, called terms, that often follow a rule.

2 + 5 + 8 + 11 = 26

Series

The sum of the terms of a sequence.

{ 2, 4, 6 } 3 elements

Set

A collection of distinct objects, called elements, usually listed inside braces.

side

Side

One of the line segments that make up a polygon, or one of the rays that form an angle.

123456789101112131415161718192021222324252627282930

Sieve of Eratosthenes

A method of finding prime numbers by listing numbers and crossing out the multiples of each prime in turn.

Σ 4i = 1 i = 10 1 + 2 + 3 + 4

Sigma notation

A short way to write a sum using the Greek letter Σ, with the starting and ending values below and above it.

0.00450 3 significant figures

Significant figures

The digits in a number that carry meaning about its precision, starting from the first nonzero digit.

~

Similar figures

Figures with the same shape but not necessarily the same size. Their angles are equal and their sides are proportional.

I = P·r·t $500 × 0.04 × 3 years = $60

Simple interest

Interest paid only on the original principal, found with I = Prt.

8/12 ÷ 4 2/3

Simplest form

A fraction is in simplest form when its numerator and denominator have no common factor greater than 1.

3x + 2x − 4 5x − 4

Simplify

To rewrite an expression in its simplest form, for example by combining like terms or reducing a fraction.

θ sin θ = opp ÷ hyp

Sine

In a right triangle, the ratio of the side opposite an angle to the hypotenuse: sin θ = opposite / hypotenuse.

never meet

Skew lines

Lines in space that are not in the same plane, so they never meet and are not parallel.

05101520

Skip counting

Counting forward by a number other than 1, such as by 2s, 5s or 10s.

slant

Slant height

The distance from the apex of a pyramid or cone down the middle of a side face to the base edge.

run 3rise 2 m = 2/3

Slope

A number that measures the steepness of a line: the rise divided by the run, m = (y₂ − y₁)/(x₂ − x₁).

b y = mx + b

Slope-intercept form

The equation of a line written as y = mx + b, where m is the slope and b is the y-intercept.

x + 3 = 7 x = 4 check: 4 + 3 = 7 ✓

Solution

A value that makes an equation or inequality true.

11√2 √312 45-45-9030-60-90

Special right triangles

Right triangles with angles 45°-45°-90° or 30°-60°-90°, whose sides are in fixed ratios.

distance ÷ time 150 km ÷ 2 h 75 km/h

Speed

How fast something moves: the distance traveled divided by the time taken.

r

Sphere

A solid figure in which every point on the surface is the same distance from the center, like a ball or a globe.

12 teeth

Sprocket

A wheel with teeth that fit into the links of a chain, as on a bicycle. Its gear ratios use ratio and rate.

Square

A rectangle with four equal sides, or a rhombus with four right angles.

14916…

Square number

A number that is the product of a whole number and itself, such as 1, 4, 9 and 16.

497 √49 = 7

Square root

A number that, multiplied by itself, gives the original number. The square root of 49 is 7.

1 unit² area = 20

Square unit

A square with sides 1 unit long, used to measure area, such as 1 cm² or 1 ft².

S S S

SSS congruence

Side-Side-Side: two triangles are congruent if all three pairs of sides are equal.

σ mean

Standard deviation

A measure of how spread out data are from the mean. A small standard deviation means the data are close to the mean.

three thousand four hundred five 3,405 Ax + By = C

Standard form

A conventional way to write something: a number written with digits (3,405), a linear equation as Ax + By = C, or a polynomial with powers in decreasing order.

123 2 5 80 31 4 4 9 key: 2 | 3 = 23

Stem-and-leaf plot

A display that splits each data value into a stem (leading digits) and a leaf (last digit) to show the distribution.

180°

Straight angle

An angle that measures exactly 180°. Its two sides form a straight line.

AB B ⊆ A

Subset

A set whose elements all belong to another set. B is a subset of A, written B ⊆ A.

y = 2x, x + y = 9 x + 2x = 9 x = 3

Substitution

Replacing a variable with a value or an equivalent expression. The substitution method solves a system by doing this.

7 − 3 = 4

Subtraction

Taking one amount away from another to find the difference, or finding how much greater one number is than another.

9 − 4 = 5 subtrahend

Subtrahend

The number being subtracted in a subtraction problem.

3 + 5 = 8 sum

Sum

The result of adding two or more numbers.

117°63° 117° + 63° = 180°

Supplementary angles

Two angles whose measures add up to 180°.

add allfaces

Surface area

The total area of all the outer surfaces of a solid figure.

Survey

A way of collecting data by asking people questions.

Symmetry

A figure has symmetry when one part matches another after a reflection, rotation or other move. Line symmetry means it can be folded into matching halves.

solution

System of equations

Two or more equations with the same variables, solved together. The solution makes all of them true; on a graph, it is where the lines cross.