TAKS Mathematics Review. When you use scientific notation, remember these words: power of 10 a number having 10 as scientific notation a way of its.

TAKS MathematicsReview

When you use scientific notation, remember these words:

power of 10 a number having 10 as scientific notation a way of

its base writing very large or very small

numbers as the product of a factor two or more numbers number ≥ 1 and < 10 and

a powermultiplied together of 10

6 X 3 X 8 = 144 4.3 X 10 ⁴ is in scientific notation.

When you estimate square roots, remember these words:

perfect square the product of an radical sign root symbol

integer and itself

radicand number under a radical

square root one of two equal factors signof a number

√5

49 = 7 x 7

When you work with the irrational numbers ∏ and √2, remember these words:

irrational number a number that cannot radius half the diameterbe written as a fraction using integers

right angle an angle that measures 90 °

circumference, C the distance around a circle right triangle a triangle with a

rightangle

C = ∏dhypotenuse the side of a right

trianglediameter the length of a segment through that is opposite the right

anglethe center of a circle with endpoints onthe circle legs the two shorter sides of a right

trianglepi (∏) the ratio of the circumference of acircle to its diameter

When you work with proportional and non-proportional relationships, remember these words:

ratio a comparison of two numbers cross product in a proportion,the product of the denominator

proportion an equation setting two of one fraction and the ratios equal numerator of the other fraction

If 3 = 12 , then the 4 16 cross products

are 3 X 16 and

4 X 12

When you multiply and divide fractions and mixed numbers, remember these words:

mixed number a whole number and reciprocal two numbers with

a fraction a product of 1

2 ⅓ is a mixed number that 3/8 and 8/3 are reciprocals

equals 2 + ⅓. because 3/8 X 8/3 = 1.

improper fraction a fraction wherethe numerator is greater than or equal to the denominator

5/5 and 7/5 are improper fractions.

When you want to know whether solutions to problems are reasonable, remember these words:

front-end estimation a way to compatible numbers two

estimate sums by using the first numbers that are easy to divide

digits of the numbers mentally

To understand a problem, ask:

What do you know?

What do you want to find out?

Is information missing?

When you use ordered pairs in linear equations, remember these words:

ordered pair numbers that can be equation a math sentence

graphed as a point on a coordinate with an equal (=) signplane

When you apply percents, remember these words:

regular price original price rate of discount percent off the

regular pricediscount amount off the regularprice sale price amount paid

aftersubtracting the discount

When you solve equations, remember these words:

variable a letter that represents a number

-6acoefficient a number that ismultiplied by a variable

To work a simpler problem, you can use estimation.

When you locate points on a coordinate plane, remember these words:

(3, -5)x-coordinate first number of anordered pair

y-coordinate second number of an ordered pair

quadrant one of four parts of the coordinate plane formed by the x-axisand the y-axis

When you reflect a figure, remember these words:

transformation a change in a figure’s image the figure formed by

position or size a transformation

reflection a flip of a figure over a line

When you translate a figure, remember this word:

translation a slide that moves a figure across the plane

A translation is a type of transformation.

When you use dilations, remember these words:

dilation a transformation that scale factor the factor used

expands or shrinks a figure to to multiply coordinates in

form a similar figure a dilation

similar having the same shape but not necessarily the same size

When you use the Pythagorean Theorem, remember these words:

Pythagorean Theorem a² + b² = c², where a and b are legs of a right triangle and c is the hypotenuse

When you solve word problems, look for key words.

When you work with surface area and volume of solids, remember these words:

total surface area the sum of the volume the amount of space

areas of all the faces a figure occupies

lateral surface area the area of allfaces that are not bases

To find the perimeter of a dilation, multiply the original perimeter by the scale factor.

To find the area of a dilation, multiply the original area by the square of the scale factor.

Two figures are similar if their corresponding angles are congruent (equal in measure) and their corresponding sides in proportion.

When you work with mean, median, mode, and range, remember these words:

measures of central tendency mean, mode value that occurs themedian, and mode most

mean average, sum divided by the range the difference between

number of terms the greatest and the least value

median middle value or average of two middle values when numbersare arranged in order from leastto greatest

When you work with scatterplot diagrams, remember these words:

scatterplot a graph of points that positive correlation where the

show a relationship between two line of best fit slopes upsets of data

line of best fit a line on a scatterplotthat most of the points are close to

negative correlation where the

no correlation line of best fit slopes down

When you work with bar graphs and line graphs, remember these words:

bar graph a graph that uses bars line graph a graph that uses

to show data points and line segments or

lines to show data

When you work with histograms, remember these words:

histogram a graph with bars frequency the number of items

that show intervals in an interval

When you work with circle graphs, remember this word:

circle graph a circle whose parts represent all the data

When you work with box and whisker plots, remember these words:

box and whisker plot a graph that lower quartile median of the

shows the least number, greatest lower half of a set of numbers

number, median, and quartiles of a set of numbers upper quartile median

of the upper half of a set of

numbersmaximum greatest number

minimum least number

Line Plot

Stem and Leaf Plot

When you solve problems, remember these words:

deductive reasoning making a probability a ratio that measures

conclusion based on rules and the chance that an event will

facts happen

inductive reasoning using a pattern P(event)=Number of Favorable Outcomes

to predict future outcomes and events Number of Possible Outcomes

When you work with sampling, remember these words:

sample a smaller group that random sample a sample in

represents the whole group which everyone has an equal

chance of being chosenbiased sample a sample that favorsa group or outcome