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Math Fourth Period 2.015 1 Colegio Gimnasio Campestre San Sebastián NOMBRE:_______________________________________________ GRADO: 6TH GRADE PERIODO: FOURTH AREA: MATH MISS SOPHIE CORZO PÉREZ HOW TO CHOOSE WHICH TYPE OF GRAPH TO USE? When to Use… a Line graph. Line graphs are used to track changes over short and long periods of time. When smaller changes exist, line graphs are better to use than bar graphs. Line graphs can also be used to compare changes over the same period of time for more than one group. a Pie Chart. Pie charts are best to use when you are trying to compare parts of a whole. They do not show changes over time. a Bar Graph. Bar graphs are used to compare things between different groups or to track changes over time. However, when trying to measure change over time, bar graphs are best when the changes are larger. an Area Graph. Area graphs are very similar to line graphs. They can be used to track changes over time for one or more groups. Area graphs are good to use when you are tracking the changes in two or more related groups that make up one whole category (for example public and private groups).

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Page 1: MATH 6TH GRADE - 4TH PERIOD.pdf

Math Fourth Period 2.015

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Colegio Gimnasio Campestre San Sebastián

NOMBRE:_______________________________________________ GRADO: 6TH GRADE

PERIODO: FOURTH AREA: MATH MISS SOPHIE CORZO PÉREZ

HOW TO CHOOSE WHICH TYPE OF GRAPH TO USE?

When to Use…

…a Line graph.

Line graphs are used to track changes over short and long periods of time.

When smaller changes exist, line graphs are better to use than bar graphs.

Line graphs can also be used to compare changes over the same period

of time for more than one group.

…a Pie Chart.

Pie charts are best to use when you are trying to compare parts of a

whole. They do not show changes over time.

…a Bar Graph.

Bar graphs are used to compare things between different

groups or to track changes over time. However, when trying to

measure change over time, bar graphs are best when the

changes are larger.

…an Area Graph.

Area graphs are very similar to line graphs. They can be

used to track changes over time for one or more groups.

Area graphs are good to use when you are tracking the

changes in two or more related groups that make up one

whole category (for example public and private groups).

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…an X-Y Plot.

X-Y plots are used to determine relationships between the

two different things. The x-axis is used to measure one event

(or variable) and the y-axis is used to measure the other. If

both variables increase at the same time, they have a

positive relationship. If one variable decreases while the other

increases, they have a negative relationship. Sometimes the

variables don't follow any pattern and have no relationship.

Answer some questions

a. What is a graph?

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__________________________________________________________________________________

b. What is the mayor difference amongst graph?

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c. When do you would use a line graph?

__________________________________________________________________________________

__________________________________________________________________________________

d. When do you would use an area graph?

__________________________________________________________________________________

__________________________________________________________________________________

e. When do you would use a X-Y plot graph?

__________________________________________________________________________________

__________________________________________________________________________________

2. Draw images about these kinds of graphs

Pie Graphs Bar Graph Line Graph

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3. Write these numbers in letters.

a) 318,203,748: _________________________________________________________________

____________________________________________________________________________

b) 243, 734,302: ________________________________________________________________

____________________________________________________________________________

c) 945,912, 002: ________________________________________________________________

____________________________________________________________________________

d) 394,982, 920: ________________________________________________________________

____________________________________________________________________________

e) 242,894,918: _________________________________________________________________

____________________________________________________________________________

f) 391,683,802: _________________________________________________________________

____________________________________________________________________________

g) 784,084,731: _________________________________________________________________

____________________________________________________________________________

4. Write these number

a. Nine hundred and eighty-three million, seven hundred and twenty-one thousand and thirty-four:

___________________________________

b. Nine hundred and eighteen million, two hundred and seventy-three thousand, six hundred and

forty-five: ___________________________

c. Nine hundred and eighty-seven million, six hundred and fifty-four thousand, three hundred and

twenty-one: _________________________

d. Seven hundred and eighty-nine million, four hundred and fifty-six thousand, one hundred and

twenty-three: ________________________

e. Nine hundred and eighty-seven million, four hundred and fifty-six thousand, three hundred and

twenty-one: _________________________

f. Four hundred and thirty-two million, one hundred and fifty-six thousand, nine hundred and eighty-

seven: _____________________________

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5. Decrypt the message using the numbers and letters

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

____________________________________________________________________________________

Key:

Statistics

Statistics is the study of the collection, organization, analysis, interpretation and presentation of data. It

deals with all aspects of data, including the planning of data collection in terms of the design

of surveys and experiments. Statistics is alternately described as a mathematical body of science that

pertains to the collection, analysis, interpretation or explanation, and presentation of data, or as a branch

of mathematics concerned with collecting and interpreting data. Because of its empirical roots and its

focus on applications, statistics is typically considered a distinct mathematical science rather than as a

branch of mathematics. Some tasks a statistician may involve are less mathematical; for example,

ensuring that data collection is undertaken in a way that produces valid conclusions, coding data, or

reporting results in ways comprehensible to those who must use them.

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Raw data

These are the numbers that have been actually collected, measured and recorded by statisticians.

Suppose you wanted to find out if children who had cereal for breakfast tended to skip lunch than children

who had a doughnut. In the experiment, 10 children would have cereal for breakfast and 10 would have a

doughnut each. You would then note how many of them skipped lunch at 1:00 pm and how many didn’t.

These numbers are your raw data.

The mean

This is the sum of all the scores divided by the total number of scores, also known as the ‘average.’

The median

This is the number that falls precisely midway in the set of numbers and is another way to describe it. You

can easily arrive at the median by arranging the numbers in order.

The mode

This is the number that occurs most frequently in a set of numbers but it does not tell us anything more

about the data.

The range

This is the difference between the highest and lowest values in the set of numbers, but, like the mode, it

does not tell anything much about the data.

The standard deviation

This is a number that tells you how closely the various scores are clustered around the mean in a set of

raw data.

KIND OF GRAPHS

A diagram displaying data; in particular one showing the relationship between two or more quantities,

measurements or indicative numbers that may or may not have a specific mathematical formula relating

them to each other. Graphs are pictures that help us understand amounts. These amounts are called

data. There are many kinds of graphs, each having special parts.

Circle Graph

A circle graph is shaped like a circle. It is divided into fractions

that look like pieces of pie, so sometimes a circle graph is

called a pie graph. Many times the fractional parts are

different colors and a key explains the colors. A pie chart (or a

circle graph) is a circular chart divided into sectors, illustrating

relative magnitudes or frequencies. In a pie chart, the arc

length of each sector and consequently its central angle and

area, is proportional to the quantity it represents.

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Bar Graph

A bar graph uses bars to show data. The bars can be

vertical (up and down), or horizontal (across). The data can

be in words or numbers. Also known as bar chart is a chart

with rectangular bars with lengths proportional to the values

that they represent. The bars can be horizontally oriented or

vertically oriented (also called column chart).Sometimes a

stretched graphic is used instead of a solid bar. It is a visual

display used to compare the amount or frequency of

occurrence of different characteristics of data and it is used

to compare groups of data.

Picture Graph

A picture graph uses pictures or symbols to show data. One

picture often stands for more than one vote so a key is

necessary to understand the symbols.

Histogram

A histogram is a special kind of bar graph. The data must be

shown as numbers in order. A line graph shows points plotted

on a graph. The points are then connected to form a line.

1. Answer these questions according to the text of kinds of graphs.

a. What is the main function to the graphs? ________________________________________________

_________________________________________________________________________________

b. What is the difference between bar charts and histograms? ___________________________________

____________________________________________________________________________________

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c. Can we make a bar chart vertically oriented? ______________________________________________

d. Can we draw a picture graph without information (data)? _____________________________________

e. Can we show information through a bar o pie chart? ________________________________________

f. How can we get information to draw a graph? ______________________________________________

____________________________________________________________________________________

2. Solve these situations using the given information

a. Create a pie chart using this information.

>Survey. What is your favorite kind of food?

a. 30 people chose Colombian food

b. 15 people chose Chinese food

c. 10 people chose Italian food

d. 5 people chose Mexican food

b. Create a bar chart using this information.

>Survey. What do you think is the best president around the world?

a. 60 people chose Álvaro Uribe

b. 30 people chose Barack Obama

c. 15 people chose Luiz Inacio da Silva

d. 10 people chose Gordon Brown

e. 5 people chose Hugo Chavez

f. 0 people chose Rafael Correa.

c. Write the numbers for each option in the pie chart.

> Survey. What is your favorite color?

a. ______ people chose black

b. ______ people chose red

c. ______ people chose green

d. ______ people chose yellow

e. ______ people chose other.

Black

Red

Green

Yellow Other

Favourite Color

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d. Write the numbers for each option in the bar chart.

>Survey. What is your favorite English soccer player?

a. 60__ people voted Steven Gerard is the best English soccer player.

b. _____ _____________________________________________________

c. _____ _____________________________________________________

d. _____ _____________________________________________________

e. _____ _____________________________________________________

f. _____ _____________________________________________________

g. _____ _____________________________________________________

In the last school soccer championship the best forwards have scored many goals and these are the

records: Andrew, 5; Carl, 15; Fernand, 10; Stephan, 15; Dave, 25, Henry, 20; Camille, 15; and Charles,

10.

Each ɸ stands for _______ goals.

Number of goals scored in the tournament

Steven Gerrard

David Beckham

Wayne Rooney

Peter Chech

Michael Owen

Sol Campbell

Other

0

10

20

30

40

50

60

70

80

90

Steven GerrardDavid BeckhamWayne Rooney Peter Chech Michael Owen Sol Campbell Other

Favorite English soccer player

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1. Consult the biography about these recognized mathematicians

a. Newton

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b. Euler

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ASPECTS TO EVALUATE

YES

NO

I didn’t have any difficulty along the development of the worksheet.

I developed all the activities in order and dedication.

I felt myself comfortable doing all the activities.

I reinforced and acquired new knowledge to the activities planned in the

worksheet.