· Web viewCan be using the water displacement method if it’s an irregular object How to find...

39
Measurements and Graphing 1

Transcript of  · Web viewCan be using the water displacement method if it’s an irregular object How to find...

Page 1:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Measurements and Graphing

Name: ____________________________________

Period: ________

Teacher: Ms. Hidalgo

1

Page 2:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

2

Page 3:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

__________________ _________________________________________________________________________________________________ Date Title

Questions/Main Ideas Notes

________________________________________

________________________________________

________________________________________

________________________________________

Distance from one point to another

To measure length

The basic unit of length

The one we will be using in class is

How to measure to the nearest tenth:

Start at the zero on the cm side

The numbers represent centimeters; write them to the left

of the decimal

The lines in between are tenths of a cm; write them to the

right of the decimal.

What is the length from 0 to B? __________________

Summary of most important ideas:

3

Page 4:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Data Table:

OBJECT MEASUREMENT (CM)Check with teacher or

elbow buddyUnsharpened pencil

Index card (long way)

Paperclip

Calculator

Manila Folder

Other

Other

4

Page 5:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

__________________ _________________________________________________________________________________________________ Date Title

Questions/Main Ideas Notes

_________________________________________

_

Used to organize and look at data measurements

The X-axis goes left to right (horizontal) (independent variable)

The Y-axis goes up and down (vertical) (dependent variable)

How to determine the interval of a line graph:

Find the range of the data (max – min = range)

Divide range by number of lines provided

Round quotient up

Start numbering!

Summary of most important ideas:

Height of Ms. Hidalgo

Hei

ght (

feet

)Ag

eHeight (feet)

0 1.2

5 2.3

10 5.0 Age (Years)

15 5.1 X-Axis Interval:

20 5.1 Y-Axis Interval:

5

Page 6:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Making a Line Graph

Before plotting points every graph must have 5 things:

1. Title: A graph must be titled. A title goes at the top.

2. Axis: Decide how to set up your data. The dependent variable goes on the Y-axis and

the independent variable goes on the X-axis.

3. Interval: How are you going to best fit your data on the graph? The interval between

the lines must be the same.

4. Label: Both the x- and y-axis must be labeled. Labels must have the correct units in

parentheses.

5. Scale: The x-axis and the y-axis must be numbered. Decide on appropriate numbers

for you graph.

Remember TAILS for every graph.

Use the data table to help you plot your graph.

How Temperature Affects Students’ Trips to the Water FountainTemperature (Celsius) Trips to the Water Fountain per day

0 412 524 736 10

6

Page 7:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

7

Page 8:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

8

Page 9:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Homework: Drawing a line graph

A science class is studying frogs. They counted the number of times that the frogs croaked at different temperatures. The results are in the table.

Temperature °C Croaks per Minute

22 1223 1424 1526 1628 1731 2132 26

Please create a line graph using the data table.

9

Page 10:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Interpolation and Extrapolation

A graph can be used to predict the results of observations or the existence of other data.

There are two types of predictions that can be made. One is called extrapolation and the other is called interpolation.

Extrapolated predictions are those that are made outside of the known data points. .

Trends in the known data can often be used to make accurate extrapolated predictions; however, this is not always the case. A young man’s parents kept track of his height through the years, as shown in the graph below. Extrapolation shows that Bryan will be about 10 feet tall when he’s 30 years old. What faulty assumption was made in this extrapolation?

Interpolated predictions are those that are made between known data points. An interpolation of this data would lead one to the prediction that Bryan was about 4.5 feet tall at the age of 14. Is this a reasonable prediction?

Was your interpolated prediction more or less accurate than your extrapolated prediction? Typically, interpolated predictions are more accurate. Why do you think this is so?

10

Page 11:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

__________________ _________________________________________________________________________________________________ Date Title

Questions/Main Ideas Notes

________________________________________

_

________________________________________

_

________________________________________

_

________________________________________

_

________________________________________

_

________________________________________

_

Objects that take up _________________ and have _______________.

The amount of __________________ in an object; does not change.

The effect of __________________ on an object.

The instrument used to measure mass.

The basic unit of measurement.

The unit of measurement used in this class.

Using a triple beam balance

Make sure the arrow is point at 0 when the riders are all

to the left. (If not, ask for help.)

Place the object on the pan.

Move the 100 g. rider over first.

Move the 10 g. rider.

Move the 1 g. rider.

Add all the masses together.

Summary of most important ideas:

Instructions: Please circle the bold face vocabulary words and underline their meaning. 11

Page 12:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Matter vs. Mass

All objects take up space. Your computer is taking up space on the desk. You are taking up space on the chair. In science, we say all objects are made of matter. Your computer is made of matter. Your chair is made of matter. The air is made of matter.

Objects have mass.

Mass is the amount of matter in an object. Mass is related to how much something weights. However, mass and weight are two different things. The mass of an object is constant. The mass does not change unless you add or remove material from the object (if you were on a diet and lost weight, then you lost mass). The mass does not change when you move an object from one place to another. Therefore, you have the same mass even if you were walking on the surface of the moon.

Weight is the effect of gravity on an object. The unit for mass is a gram. We use a triple beam balance to measure the amount of mass of an object. All objects exert gravitational force on other objects. You are attracted to books, papers, and chairs. Why then, are you not attracted to these objects, as you are attracted to the Earth? You are! But, the attraction between you and those objects is too weak for you to notice. The gravity of the Earth, however, is more powerful as the Earth is larger. The greater the mass of object, the greater the gravitational force. The gravitational force between objects is weaker, the larger the distance between them. Therefore, you weigh less on the top of a mountain then you do at sea level.

Objects that take up space and have mass are called matter. Everything around you is made of matter. Even chocolate cake is made of matter. Matter is large and matter is small.

Questions:

1. What is MATTER? ________________________________________________________________________________

2. What is MASS? ___________________________________________________________________________________

3. The unit used for mass is called ____________________.

4. What instrument is used to measure the mass of an object? _________________________________

Do Now: Use the word bank to label the parts on the triple beam balance. 12

Page 13:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Mass is _______________________________________________________________________________________________

________________________________________________________________________________________________________

The tool used to measure mass is ________________________________________________

The basic unit of mass is the ____________________________ but we use ____________________ in science class.

Practice: Measuring Mass

Object Mass (g) Check

Homework: Complete the following questions.

Pan Notches Beam

Arrow Rider

13

Page 14:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

1. How many grams are in a kilogram? _______________________________________________________

2. Label the parts on the diagram.

Measuring Mass14

Page 15:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Besides the digital scales, mass can be measured using the triple beam balance. This type of manual balance (or scale) is made of three riders. When an object is placed on the pan of the scale, the weights are moved along the riders until the pointer is balanced. Then the masses of all the riders are added together to equal the mass of the item on the pan of the scale.

The following balances measure mass in grams. What masses are shown on each of the following balances?

Answer: ______________________________

Answer: ______________________________

Answer: ______________________________

Name: ___________________________________________________ Date: __________________ Period: _________

15

Page 16:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Homework: TAILS Practice Sheet

Instructions: Please describe each part of TAILS

T ___________________________________________________________________________________________________

A ___________________________________________________________________________________________________

I ___________________________________________________________________________________________________

L ___________________________________________________________________________________________________

S ___________________________________________________________________________________________________

Instructions: Please respond to the following questions.

1. The independent variable is always placed on the _____________ axis.

2. The dependent variable is always placed on the _____________ axis.

3. How do we decide what the scale should be? ________________________________________________

___________________________________________________________________________________________________

___________________________________________________________________________________________________

4. How do we decide what the interval should be? ____________________________________________

___________________________________________________________________________________________________

___________________________________________________________________________________________________

Instructions: Please make a line graph using the data table below. Remember TAILS. 16

Page 17:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

What is the scale on the y-axis? _________________________

What is the interval on the x-axis? ______________________

17

Minutes spent studying

Test Scores

5 6015 7060 80

120 90130 100

Page 18:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Name: ___________________________________________________ Date: __________________ Period: _________

Gum Graph

A student measures the mass of a piece of gum every minute while he is chewing it to see how it changes over the course of 10 minutes. His data is below:

Minute Weight of Gum0 6.5 g1 5.5 g2 4.7 g3 4.0 g4 3.5 g5 3.3 g6 3.0 g7 3.0 g8 3.0 g9 2.8 g

10 2.8 g

Make a graph of the data and answer the questions on the next page.

_________________________________________________________________

18

Page 19:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Questions:

1. What is happening to the weight of the gum while the student is chewing it during

the ten minutes? ____________________________________________________________________________

________________________________________________________________________________________________

________________________________________________________________________________________________

2. During which minutes is the gum changing at the fastest rate? ________________________

3. During which minutes is the gum staying the same? ____________________________

4. Interpolation: Based on your graph, what would the weight of the gum be after the

student chewed it for 2 ½ minutes? ____________________________________________

19

Page 20:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

5. Interpolation: Based on your graph, what would the weight of the gum be after the

student chewed it for 7 ½ minutes? ____________________________________________

6. Extrapolation: Based on your graph, what would the weight of the gum be after the

student chewed it for 12 minutes? ____________________________________________

7. Extrapolation: Based on your graph, what would the weight of the gum be after the

student chewed it for 30 seconds? ____________________________________________

__________________ _________________________________________________________________________________________________ Date Title

Questions/Main Ideas Notes

________________________________________

________________________________________

________________________________________

________________________________________

How hot or cold something is

The instrument used to measure temperature

The units of measurement

The unit of measurement used in this classroom.

How to measure temperature:

Read the Celsius side

Each small line represents 1° C

Count from zero up if the red line is above

Count from zero down if the red line is below

20

Page 21:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Summary of most important ideas:

Reading a Thermometer

Instructions: Find the temperature indicated on each of the twelve thermometers. Remember to write down the correct units!

21

Page 22:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

22

Page 23:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

__________________ _________________________________________________________________________________________________ Date Title

Questions/Main Ideas Notes

________________________________________ The amount of space occupied by an object

Can be found mathematically if it’s a known shape

Can be using the water displacement method if it’s an

irregular object

How to find the volume via water displacement:

Use a graduated cylinder and partially fill it with water.

Record the initial volume

Place irregular object in the graduated cylinder

Record the final volume

23

Page 24:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Subtract the initial

volume from the final

volume

Summary of most important ideas:

Do Now: Using what you know about reading a ruler, can you guess what these liquids measure?

Notes: 24

Page 25:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Volume is _____________________________________________________________________________________

_________________________________________________________________________________________________

The tool we use to measure volume is a ___________________________________________________

The basic unit of volume is the _______________________________ and its abbreviation is

_____________. But we use ____________________________________ in class, which is

abbreviated as ______________.

In this space, write three hints you want to remember about how to measure using a graduated cylinder.

1.

2.

3.

Practice: Measuring Volume

Graduated Cylinder Volume (ml) Check

Graduated Cylinder #1

25

Page 26:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Graduated Cylinder #2

Graduated Cylinder #3

Graduated Cylinder #4

Graduated Cylinder #5

Graduated Cylinder #6

Measurement Study Guide

Use your notes to fill in the graphic organizer (2 pages). The first one has been done for you.

Hin

ts t

o re

mem

ber

w

hen

m

easu

rin

g

1.

Star

t at z

ero

2.

Rem

embe

r U

nits

3.

Mea

sure

to te

nth

of c

m –

one

de

cim

al p

lace

(1

.5 c

m)

Oth

er U

nit

s to

k

now

Mill

imet

er10

00m

m=1

m

Kilo

met

er10

00m

=1km

26

Page 27:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Un

it w

e u

se in

cl

ass

Cent

imet

er

(hun

dred

th o

f a

met

er)

100c

m=1

m

Bas

ic U

nit

of

Mea

sure

men

t (a

bb

revi

atio

n)

Met

er (

m)

Too

l Use

d

Rul

er o

r m

eter

st

ick

Def

init

ion

of

Pro

per

ty

Leng

th fr

om o

ne

end

to a

noth

er

Pro

per

ty

Mea

sure

d

Dis

tan

ce

Mas

s

Vol

um

e

Tem

per

atu

re

27

Page 28:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Glossary

Word Definition

28

Page 29:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

Word Definition

29

Page 30:  · Web viewCan be using the water displacement method if it’s an irregular object How to find the volume via water displacement: Use a graduated cylinder and partially fill it

30