1. TAKS Mathematics
Review

2. 1. Comparing and Ordering Rational Numbers

3. 2. Comparing Fractions

4. 3. Scientific Notation
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 power
multiplied together of 10
6 X 3 X 8 = X 10 ⁴ is in scientific notation.

5. 4. Estimating Square Roots
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 sign
of a number √5
49 = 7 x 7

6. 5. The Irrational Numbers ∏ and √2
When you work with the irrational numbers ∏ and √2, remember these words:
irrational number a number that cannot radius half the diameter
be 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 right
angle
C = ∏d
hypotenuse the side of a right triangle
diameter the length of a segment through that is opposite the right angle
the center of a circle with endpoints on
the circle legs the two shorter sides of a right
triangle
pi (∏) the ratio of the circumference of a
circle to its diameter

7. 6. Proportional and Non-Proportional Relationships
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
cross products
are
3 X 16 and 4 X 12

8. 7. Multiplying and Dividing Fractions and Mixed Numbers
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 /8 and 8/3 are reciprocals
equals 2 + ⅓. because
3/8 X 8/3 = 1.
improper fraction a fraction where
the numerator is greater than or equal
to the denominator
5/5 and 7/5 are improper fractions.

9. 8. Reasonable Solutions to Problems
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

10. 9. Problem Solving with Objective 1 TEKS
To understand a problem, ask:
What do you know?
What do you want to find out?
Is information missing?

11. 10. Ordered Pairs in Linear Equations
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 (=) sign
plane

12. 11. Applications of Percent Increase and Decrease
When you apply percents, remember these words:
regular price original price rate of discount percent off the
regular price
discount amount off the regular
price sale price amount paid after
subtracting the discount

13. 12. Solving Equations When you solve equations, remember these words:
variable a letter that represents
a number
-6a
coefficient a number that is
multiplied by a variable

14. 13. Problem Solving with Objective 2 TEKS
To work a simpler problem, you can use estimation.

15. 14. Solving Problems on a Coordinate Plane
When you locate points on a coordinate plane, remember these words:
(3, -5)
x-coordinate first number of an
ordered pair
y-coordinate second number of
an ordered pair
quadrant one of four parts of the
coordinate plane formed by the x-axis
and the y-axis

16. 15. Reflections 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

17. 16. Translations 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.

18. 17. Dilations 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

19. 18. Pythagorean Theorem
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

20. 19. Problem Solving with Objective 3 TEKS
When you solve word problems, look for key words.

21. 20. Surface Area and Volume of Solids
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 all
faces that are not bases

22. 21. Effects of Changing Dimensions
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.

23. 22. Problem Solving with Objective 4 TEKS
Two figures are similar if their corresponding angles are congruent (equal in measure) and their corresponding sides in proportion.

24. 23. Mean, Median, Mode, and Range
When you work with mean, median, mode, and range, remember these words:
measures of central tendency mean, mode value that occurs the
median, 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 numbers
are arranged in order from least
to greatest

25. 24. Scatterplot Diagrams
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 up
sets of data
line of best fit a line on a scatterplot
that most of the points are close to
negative correlation where the
no correlation line of best fit slopes down

26. 25. Bar Graphs and Line Graphs
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

27. 26. Histograms and Venn Diagrams
When you work with histograms, remember these words:
histogram a graph with bars frequency the number of items
that show intervals in an interval

28. 27. Circle Graphs
When you work with circle graphs, remember this word:
circle graph a circle whose parts represent all the data

29. 28. Line Plots, Stem and Leaf Plots, and Box and Whisker Plots
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 numbers
maximum greatest number
minimum least number

30. Line Plot
Stem and Leaf Plot

31. 29. Problem Solving with Objective 5 TEKS
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

32. 30. Sampling 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 chosen
biased sample a sample that favors
a group or outcome