Study Guide
Test____________________________________
6.5 positive exponents and perfect squares (Notes)
Power of 10 (Notes)
IXL: E 1, 2, 3, 9
10 is the base, the exponent will be the number of zeros
104 = 10,000
103 = 1000
102 = 100
101 = 10
10 0 =1.
1. 106 = ______________________
2. 102 = ______________________
3. The numbers 1, 4, 9, and 16 are called “perfect squares”
Find the next three numbers in the sequence.
________, _________, __________
4. Fill in the missing perfect squares
4, 9, ________, 25, ________, _________, 64, 81, ____________, 121, 144
5. Which is a model of 4²? Explain.
Explain: ____________________________________________________________

Numerator is 1, the bigger
Example: ½, 1/3, ¼, 1/5, 1/6

Denominator is the same, then the bigger the numerator, the greater the
the Denominator the smaller the fraction.
fraction.
1 2 3 4 5
, , , ,

5 5 5 5 5
Compare fractions to



𝟏
𝟐
2/4 2 is half of 4
3/6 3 is half of 6
4/8 4 is half of 8
6. Which of the following does NOT contain equivalent fractions, decimals, and percents?
2
a. 5 , 0.4, 40%
1
b.
, 0.25, 25%
4
3
c.
, 0.375, 37.5%
8
1
d.
, 0.05, 50%
20
7.
Which of the following is NOT in order from least to greatest?
1 1 1
, ,
4 3 2
1 3 2
b. , ,
3 4 5
3 6 9
c. , ,
6 8 10
1 4 6
d. , ,
2 5 5
a.
8. Which of the following statements is true?
a. 0.16 < 0.016
b. 5.065 < 5.65
c. 2.804 < 2.408
d. 5.83 < 0.583
9. What percent is equivalent to 9/15?
10. Write the following in descending order.
16%, 1/6, .167
________, _________, __________
11. What fraction could you place in the blank to make a true statement?
0.15 < ___< 85%
9
e. 10
7
f.
8
5
g.
6
6
h.
7
6.14 Graphs Circle Graphs, Bar Graphs, Line Graphs
IXL: R 11, 16
Bar graphs use categorical (discrete) data (e.g., months or eye color).
Line graphs use continuous data (e.g., temperature and time).
Circle graphs show a relationship of the parts to a whole.
Circle graphs can be represented with fractions, decimals, or a percent, because you are comparing
parts to a whole
1. The sixth graders at Kelly Middle school voted for their favorite sport.
Favorite Sports of Sixth Graders
Baseball
1
4
Golf
Basketball
1
2
3
20
1
10
Football
a. If the 180 students in sixth grade get to choose a sport to play for a special reward, about how
many of these students may choose Basketball?
b. If the 200 students in sixth grade get to choose a sport to play for a special reward, about how
many of these students may choose Football?
c. If the 100 students in sixth grade get to choose a sport to play for a special reward, about how
many of these students may choose Baseball?
d. What percent choose football?
e. What percent choose Golf?
Favorite Sports
100
90
80
70
Number
of Votes
60
50
40
30
20
10
0
baseball
football
soccer
Create a circle graph to compare the data in the bar graph.
basketball
6.15 Central Tendency
IXL: S 1, 2
a) describe mean as a balance point and fair share.(graph on a number line)
When do you use:
– Mean works well for sets of data with no very high or low numbers.
– Median is a good choice when data sets have a couple of values much higher or lower than most of the
others.
– Mode is a good descriptor to use when the set of data has some identical values or when data are not
conducive to computation of other measures of central tendency, as when working with data in a yes or
no survey.
1.
Justin collected data on how many miles he drove for each day for a week. This data is displayed
on this line plot.
Miles Driven This Week
x
x
21
22
x
x
23
x
24
25
26
x
27
x
28
29
What is the balance point for this set of data?
2.
The list below shows the number of large bags of popcorn sold each day at a movie theater over
five days.
18 19 22 18 23
a. What is the mean (average) number of large bags of popcorn sold over the five days?
b. What is the mode?
c. What is the median?
3.
The list below shows the heights, in meters, of five different buildings.
180, 170, 120, 180, 160
What is the median height, in meters, of the buildings?