Math_lesson_1_2_and_3

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Learning Cycle Lesson Plan
Teacher’s Name Carolyn L. Carter Grade 6th
Subject Area Math
Date October 8, 2008
Lesson Topic (Lesson Title): Measurement (Systems of Measurement)
State Standards: 13 Systems of Measurement
Students shall identify and use units, systems and processes of measurement
M.13.6.5
Find the distance between two points on a number line.
M.13.6.6
Use estimation to check the reasonableness of measurements obtained from use of various instruments.
Objectives: Students will demonstrate their ability to use tools of measurement.
Materials: ruler, measuring tape, pencil, paper, conversion charts, and worksheet
Procedure:
Motivate (Set) Students will be asked to line up from tallest to shortest. Each student will be
asked how tall they are. Students will measure their foot, arm length, waist, math book, and height.
Comprehend (C2)
Teacher: What do you think we are going to be learning? Teacher will talk about measurement.
Measurement is the act or process of obtaining dimensions, quantity, or capacity. We can measure
time, volume, weight, length, and temperature to mention a few. We can find the height of each
student by measurement. Measurement uses different tools and systems. There are scales for weight,
rulers and tapes for length, hours, minutes, and seconds for time, thermometers for temperature. The
systems for measurement are customary and metric. We will measure in customary then use
conversion table to convert to metric. Students will be given ruler and asked how it is used. What is a
½ inch, inch, and foot? How many inches are in a foot? How many feet in a yard? How many yards in
a mile? Compare customary and metric systems of measurement in the linear unit – inches, feet, yards,
miles, millimeters, centimeters, meters, and kilometers.
Practice (Independent Activity) Students in small groups will measure objects at their tables.
They will make five measurements (foot, arm length, waist, math book, height), take measurements
and convert to metric system.
Apply (Lesson Extension) Worksheet lists several objects to measure and use conversion table
for customary system. The team topic is on the planet Pluto. Which tool or system of measurement is
used to measure distance from Earth to Pluto?
MCED 3303
Questioning Strategy Assignment
1.
Topic of lesson is tools of measurement.
a. To find out what is not known or find out whether someone knows
To motivate
To provide drill and practice
To interpret meaning
b. Convergent questions have one correct answer and require reasoning.
Divergent questions have several answers and help to promote possibility thinking and
creativity.
2. a. I will ask questions of the Evaluate Level. Students will use knowledge to compare use of tools
and systems of measurement.
b. I will assess prior knowledge, motivate to attain new knowledge, apply knowledge with
examples of problems, evaluate through comparison.
3.
Blooms Level
Convergent or Divergent
Questions
Knowledge
C
1 Ask students how tall they
are?
Comprehension
D
2 Explain what is
measurement?
Comprehension
D
3 Classify objects to be
measured?
Comprehension
D
4 Can students describe tools
of measurement?
Application
C
5 How many inches can
students predict are in 4yards?
Application
C
6 Can students identify which
tool is best used to measure
for a cake?
Analyze
C
7 What is best way to simply
9ft 15in.?
Analyze
C
8 To build a snowman which
temperature is best 32 degrees
Farenheight or 32 degrees
Celsius?
Synthesis
D
9 Which profession
incorporates measurement into
their skill?
Evaluate
D
10 Which system or tools of
measurement will students
predict for use in measuring
distance from Earth to Pluto?
Conversions from metric to standard measurements
SYMBOL
WHEN YOU KNOW
MULTIPLY BY
TO FIND
SYMBOL
LENGTH
in
inches
25.4
millimeters
mm
ft
feet
0.305
meters
m
yd
yards
0.914
meters
m
mi
miles
1.61
kilometers
km
AREA
in
square inches
645.2
square millimeters
mm2
ft2
square feet
0.093
square meters
m2
yd2
square yard
0.836
square meters
m2
ac
acres
0.405
hectares
ha
square miles
2.59
square kilometers
km2
2
mi
2
VOLUME
fl oz
fluid ounces
29.57
milliliters
mL
gal
gallons
3.785
liters
L
cubic feet
0.028
cubic meters
m3
cubic yards
0.765
cubic meters
m3
ft
3
yd3
MASS
oz
ounces
28.35
grams
g
lb
pounds
0.454
kilograms
kg
T
short tons (2000 lb)
0.907
megagrams (or "metric Mg (or "t")
ton")
TEMPERATURE
o
F
Fahrenheit
(F-32) x 5 / 9
or
(F-32) / 1.8
Celsius
o
C
APPROXIMATE CONVERSIONS
FROM
SI / METRIC UNITS
TO
STANDARD / US CUSTOMARY UNITS
SYMBOL
WHEN YOU KNOW
MULTIPLY BY
LENGTH
0.039
TO FIND
SYMBOL
inches
in
mm
millimeters
m
meters
3.28
feet
ft
m
meters
1.09
yards
yd
km
kilometers
0.621
miles
mi
mm2
millimeters
AREA
0.0016
square inches
in2
m2
square meters
10.764
square feet
ft2
m2
square meters
1.195
square yards
yd2
ha
hectares
2.47
acres
ac
km2
square kilometers
0.386
square miles
mi2
VOLUME
0.034
fluid ounces
fl oz
mL
milliliters
L
liters
0.264
gallons
gal
m3
cubic meters
35.314
cubic feet
ft3
m3
cubic meters
1.307
cubic yards
yd3
MASS
g
grams
0.035
ounces
oz
kg
kilograms
2.202
pounds
lb
Mg (or "t")
megagrams
(or "metric ton")
1.103
short tons (2000 lb)
T
TEMPERATURE
oC
Celsius
1.8C + 32
Fahrenheit
o
F
Object to Measure
Foot
Arm Length
Waist
Math Book
Height
Customary
Metric
LESSON PLAN
1. Descriptive Data
Teacher: Carolyn L. Carter Subject Area: Mathematics Date November 4, 2008 Grade Level: 6th
Unit Title: Pluto, Planet or Not Lesson Title: Which Measurement is Right? Lesson Number 2
Unit Concept: Pluto
Lesson Topic or Overview: Measurement tools and units will equip user to select appropriate choice for situation.
2.
Standards, Goals, and Objectives
Standards (list local, state, or national standards which will be met upon completion of this lesson):
12: Physical Attributes
M.12.6.2: Make conversions within the same measurement system in real world problems; hours to minutes, meters to
centimeters, feet to inches, liters to milliliters, quarts to gallons.
Lesson Goal(s): Students shall use attributes and tools of measurement to describe and compare mathematical and realworld objects.
Lesson Objective(s): Compare such attributes as length, area, weight, volume, size of an angle, and select the appropriate
type of unit for measuring each attribute.
3.
Connections
Curriculum (identify which interdisciplinary subject areas relate to this lesson): Science
How does this lesson relate to previous learning and future learning of students? It will broaden the concept of
measurement toward superior systems and tools used to enhance knowledge.
4.
Procedure
Grouping for the lesson: X whole group
X small group
X individual
(5 minutes) Set (List specific statements or activities you will use to focus students on the lesson for the day.):
-After students are seated, divide into groups of four. Assign duties of recorder, calculate and check, reporter,
material handler.
(5 minutes) Making the Content Comprehensible (C2 ):
-Ask the following questions:
How long is this pencil?
How many cups does it take to fill this jar?
How heavy is this rock?
Is the weight of this rock more or less than 10 grams?
(15 minutes) Guided Activity (GA):
Come on Down! Which Measurement is Right? Each group will be presented with an object and asked a question
about the size of object and its higher/lower unit of measurement. They will proceed by selecting a tool and
completing the measurement to determine the actual size of item.
-Ask the following questions:
Which unit is identified with this object?
Which tool is best used to measure object?
(5 minutes) Independent Activity (IA):
Each student will fill in chart of items measured listing units and tools.
(5 minutes) Closure: On index card write a unit and tool of measurement learned today. Write one profession that
uses measurement unit and tools daily. Write name and place card on teacher’s desk.
5. Lesson extension: The system and tools of measurement can be used in real world activities. Students in groups
will apply this knowledge in creating a gallon man using strips of paper in different lengths and sizes. A gallon
man is made of one gallon, 4 quarts, 8 pints, 16 cups.
6. Modifications for special needs and gifted: SN- Student will use measurement of inches only and customary system.
They will be required to complete only half of problems on worksheet. GT: Student will be given measurements
to convert from customary system to metric system. Worksheet will be completed and short essay written on the
history of measurement.
7. Materials and Equipment needed: Items to estimate length, volume, weight, area, time. Tape measure, tools to
measure items, stop watch, construction paper of various lengths, and glue.
8. Assessment of Student Learning: Students share, listen, learn from problem-solving strategies of peers.
9. Reflection and Revision
Reflective thoughts about lesson:
Revisions of the lesson:
Item to Measure
Unit of Measurement
Tool of Measurement
Worksheet = Liquid Measurements
Directions: Fill in the blanks in the following questions.
1.
6 pints = _____ quarts
11.
2 cups = _____ pints
2.
8 cups = _____ quarts
12.
2 pints = _____ quarts
3.
8 quarts = _____ gallons
13.
4 quarts = _____ gallons
4.
16 pints = _____ gallons
14.
4 pints = _____ quarts
5.
6 cups = _____ pints
15.
8 quarts = _____ gallons
6.
1 cup = _____ pints
16.
8 pints = _____ quarts
7.
1 pint = _____ quarts
17.
12 quarts = _____ gallons
8.
2 quarts = _____ gallons
18.
12 pints = ______quarts
9.
1 gallon = _____ cups
19.
8 cups = _____ pints
20.
3 cups = _____ pints
10. 1 quart = _____ cups
LESSON PLAN
1. Descriptive Data
Teacher: Carolyn L. Carter Subject Area: Mathematics Date: November 17, 2008 Grade Level: 6
Unit Title: Pluto, Planet or Not Lesson Title: How much is a gallon? Lesson Number: 3
Unit Concept: _Pluto
Lesson Topic or Overview: The lesser price in a smaller unit is not always a bargain.
Standards, Goals, and Objectives
Standards (list local, state, or national standards which will be met upon completion of this lesson):
12: Physical Attributes
M.12.7.2: Understand relationships among units within the same system.
M.12.8.2: Describe and apply equivalent measures using a variety of units within the same system of
measurement.
Lesson Goal(s): Students shall use attributes and tools of measurement to describe and compare
mathematical and real-world objects.
Lesson Objective(s): Students create charts comparing the cost of a gallon of gasoline to gallons of
other liquids – mouthwash, juice, glass cleaner, and soda.
3.
Connections
Curriculum (identify which interdisciplinary subject areas relate to this lesson): Science
How does this lesson relate to previous learning and future learning of students? Use measurement
units and tools to determine best quantity for cost.
4.
Procedure
Grouping for the lesson: X whole group
X small group X individual
(5 minutes) Set (List specific statements or activities you will use to focus students on the lesson
for the day.):
Students will have groups of four. There are roles for each student – recorder, material handler, reader,
calculate and check.
List the cost of a gallon of gasoline.
Calculate the costs of gallons of a variety of liquids.
Create charts showing data collected.
Use online tool to create graph comparing cost of gasoline to other liquids.
(5 minutes) Making the Content Comprehensible (C2 ):
Have students consider that gasoline might be a bargain when compared with the price of other liquids
they consume. A bottle of water costing $1.09 works out to $8.72 a gallon. That makes gasoline look
like a real bargain.
(40 minutes) Guided Activity (GA):
Students will have set time to complete lesson, they will depend on each other to do assigned tasks and
achieve goal.
Students in groups will pour a gallon of water into quarts, pints, and cups to understand relationships
among units. Use Gallon Man picture to assist. Complete Gallons, Cups, and Pints worksheet.
Provide students with newspaper ads from food, drug, auto parts, and home supply stores so they can
price a gallon of a variety of liquids, such as soda, paint, mouthwash, oil, perfume, glass cleaner.
Have students make chart with four columns: Liquid Product, Cost of Item, Size (Volume) of Item,
Price per Unit/Gallon
Have students calculate unit cost to gallon cost.
Have student’s complete worksheet: You think gas is expensive?
(5 minutes) Independent Activity (IA): Complete worksheet: How much does it cost to go to Pluto?
(5 minutes) Closure: Students should share the information they collected and discuss the cost of a
gallon of gasoline relative to the cost of some other things they may purchase.
Lesson extension: Students can use the data they collected to create graphs providing a visual
representation of data.
Modifications for special needs and gifted: SN: Students use fewer items to calculate unit to gallon.
Work half problems on worksheet. Work close with peers. GT: Students will calculate items to
several gallons per unit of liquids. Will complete worksheet and convert to metric system.
Materials and Equipment needed: Newspaper ads, calculator, and paper for graphs, pencil or marker,
worksheets, Each group will have 1 gallon of water, either/or 4 quart containers, 8- 16oz. cups for
pints, and 16- 8oz. cups
Assessment of Student Learning: Grade students’ chart calculations on mathematical accuracy.
Reflection and Revision
Reflective thoughts about lesson:
Revisions of the lesson:
Cooperative Learning Lesson Plan
Teacher’s Name Carolyn L. Carter Grade Sixth Date November 17, 2008
Subject Area Mathematics
Type of cooperation (Check one):
___X__ Sink or Swim, _____Competition, ______Individualistic
Select two of the elements of cooperative learning that apply the most (Check two):
_____Positive interdependence, _____Face to face promotive interaction,
_____Individual accountability, ___X__Interpersonal and small group skills,
___X__Group processing
Type of cooperative learning groups used:
Outcomes desired and/or cooperative learning objectives
Learners will: Create charts comparing the cost of a gallon of gasoline to gallons of other
Liquids – mouthwash, paint, fruit juice, soda, milk.
Cooperative Learning Lesson Plan and Procedure
Students will have groups of four. There are roles for each student – recorder,
material handler, reader, and calculate and check.
Students will have set time to complete lesson, they will depend on each other to do assigned
tasks to achieve goal. They will communicate, use decision making to further working
relationships. Teacher will monitor and provide feedback on how well groups work together.
Grade student’s chart calculations on mathematical accuracy.
Lesson procedure – Have students consider that gasoline might be a bargain when compared with the
price of other liquids they consume. A bottle of water costing $1.09 works out to $8.72 a gallon. That
makes gasoline look like a real bargain! Students will look at newspaper ads from food, drug, or home
supplies so they can price a variety of liquids, such as fruit juice, soda, paint, mouthwash and gasoline.
Create charts with four columns: Liquid Product, Cost of Item, Size (Volume) of Item, Price per
Gallon. Record cost of gasoline then other liquids. Students will use the cost of each of the other
products on the chart to calculate the cost for a gallon of the product. Groups will discuss and compare
data.
Materials: Newspaper ads, calculator, paper for graphs, pencils or markers, worksheets, conversion
charts.
You Think a Gallon of Gas Is Expensive?
Just look at a few of these items you probably use. Using the cost given, compute the cost per
gallon. Now is a gallon of gas expensive?
Common Price
Price Per Gallon
$2.00
Regular gasoline, $2.00 for one gallon
Diet Snapple®, $1.29 for 16 ounces
Lipton® Iced Tea, $1.19 for 16 ounces
Gatorade®, $1.59 for 20 ounces
Ocean Spray®, $1.25 for 16 ounces
Milk, $3.19 per gallon
Brake fluid, $3.15 for 12 ounces
Vick's Nyquil®, $8.35 for 6 ounces
Scope® Mouthwash, $0.99 for 1.5 ounces
White-Out, $1.39 for 7 ounces
Evian® water. $1.49 for 9 ounces
Coke® at movie, $3.00 for 20 ounces
What item was most expensive per gallon?
Did that surprise you?
What items could you add to the list?
Which is the most expensive when you figure price per gallon?
Homework Sheet
How much does it cost to go to Pluto?
How much does a gallon of gasoline cost today?
______________
How many miles per gallon does a car get?
______________
How many miles per gallon does a large SUV get?
______________
How many miles per gallon does a rocket get?
______________
What is the fuel cost per mile to drive
______________?
Car
______________
Large SUV
______________
Rocket
______________
How many miles is Earth from Pluto?
______2.1 Billion
How much does it cost to launch a shuttle?
______________
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