math unit one table of contents - city university of...
TRANSCRIPT
Math Unit 1 Bridges to Academic Success August 2013 Draft
Accelerating language, literacy and content learning for emergent
bilinguals with limited home language literacy
MATH UNIT ONE
TABLE OF CONTENTS
Section Document
1 Unit Plan
2 Activity Guides
3 Assessments
4 Worksheets
5
6
7
Word Bank
Word Wall
Sample Lesson Plans
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Math Unit 1 Plan Bridges to Academic Success August 2013 Draft
Math Unit 1 Plan
2
Math Unit 1 Plan Bridges to Academic Success August 2013 Draft
Math Unit 1
Introduction
Math Unit 1 is scheduled to begin on September 16th. It begins with the phrasing and translation of the essential
question: “How and why do we measure our world?”
During Math Unit 1 warm-up time (10 minutes maximum), students measure outside temperature and plot it on
a x/y- axis graph. They do this throughout the unit and exhibit their graphs during the last week of the unit. They
set up the graph during Week 2 and will need a lot of practice on how to record the temperature on the y-axis
and the days of the month on the x-axis. In week 3, they will get quicker with the process so that it eventually
becomes a three-minute routine at the beginning of each class. In week 3, the warm-up for each class thus
consists of recording the temperature, followed by a five-minute vocabulary activity.
In Unit 1 the words fall into the following categories:
- measurement tools
- what do we measure?
- measurement unit
- verbs
Language objectives in Math Unit 1also aim to increase awareness about language patterns. For example,
students spend at least two weeks on practicing:
- long, longer, longest
- fast, faster, fastest
- heavy, heavier, heaviest
- hot, hotter, hottest
- short, shorter, shortest
etc..
Lesson Activities Common Core Standards
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Math Unit 1 Plan Bridges to Academic Success August 2013 Draft
Number Sense, Measurement and Operations
Essential Question: How and why do we measure the world?
Week 1: Engage & Build Background
Week 2: Temperature, Length, x/y Graph, Operations (+, -)
1
Warm-Up View video clips that show people measuring things PK.OA: Understand addition as
adding to and subtraction as
taking from
K.OA: Understand addition as
putting together and subtraction as
taking apart
1.OA: Represent and solve
problems involving addition and
subtraction; Work with addition and
subtraction equations
1.MD: Measure lengths indirectly
and by iterating length units
2.MD: Measure and estimate
lengths in standard units; relate
addition and subtraction to length
Lesson Let students draw pictures about what they saw.
Translanguage Essential Question:
How and why do we measure the world?
HW addition/ subtraction worksheets
2
Warm-Up Read home-work out loud; pronunciation drill
Lesson Introduce measurement tool: ruler
Introduce measurement unit: centimeter
HW addition/ subtraction worksheets
3
Warm-Up Draw a line that is 10 cm long
Lesson Use different colors to draw lines according to specific
instructions; then practice adding two lengths
Practice sentence frame “How long is this line?” + “This
line is 10cm long.”
HW addition/ subtraction worksheets
4
Warm-Up Matching colors with names of colors
Lesson Introduce Cuisenaire Rods; use ruler to measure length of
rods (introduce decimal value); learn names of Rods
colors; use Rods to practice adding and taking away
HW addition/ subtraction worksheets
5
Lesson Review of week : - review Week 1 word bank; complete
word wall
create drawings of some addition/ subtraction problems
measure length of paper, binder, pen in cm
Week 1
Assessment
- Spelling/ Vocab quiz
- feedback to home-work
Lesson Activities Common Core Standards
Math Unit 1 Plan
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Math Unit 1 Plan Bridges to Academic Success August 2013 Draft
6
Warm-Up Match pictures to warm, hot, cold - 7.RP.2.d: Explain what a point (x,y) on
the graph of a proportional
relationship means in terms of the
situation, with special attention to the
points (0,0) and (1,r) where r is the unit
rate.
- 2.MD.1: Measure length of an object
by selecting & using appropriate tools.
- 2.MD.3: Estimate lengths using units of
inches, feet, centimeters and meters.
- 2.MD.5: Use addition and subtraction
to solve word problems involving
lengths that are given in the same
units.
Lesson Teach student how to draw an X/Y axis graph, showing
temperature on Y and time on X. Mount model on wall.
Introduce measurement tool: thermometer
unit: degrees Fahrenheit; measure temperature, record.
HW Practice reading temperature on work-sheet
7
Warm-Up Measure and record temperature in graph
Lesson Students make a x/y-axis bar-chart graph and measure
the height of 5 students in class
Introduce measurement tools: Measuring tape, meter
stick, yardstick; Introduce unit: meter
HW Practice reading bar-chart
8
Warm-Up Measure and record temperature in graph
Lesson - Read out loud home-work + pronunciation drill
- Introduce units: foot, inch
- Measure various objects in class
HW Work-sheet that adds/ subtracts various units
9
Warm-Up Measure and record temperature in graph
Lesson - review Week 1 and 2 vocab
- review How long/ tall/ high? – questions
- review, compare and discuss home-work
HW More addition/ subtraction problems
10
Lesson Review of week + Assessment:
- Test on adding/subtracting lengths
- reading a thermometer
- reading a bar-chart
- vocabulary cloze
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Math Unit 1 Plan Bridges to Academic Success August 2013 Draft
Week 3: Temperature, Length, Weight, x/y Graph, Operations (+,-, x)
Lesson Activities Common Core Standards
11
Warm-Up Record temperature; Make groups (of students,
paperclips, chips etc.)
- 2.OA.3: Determine whether a group of
objects has an odd or even number of
members, e.g. by pairing objects or
counting them by 2s; write an
equation to express an even number
as a sum of two equal addends.
- 3.OA.1: Interpret products of whole
numbers, e.g., interpret 5x7 as the
total number of objects in 5 groups of
7 objects each.
Lesson
Use chips to show students how multiplication is repeated
addition; practice turning multiplication problems into
addition-only problems
HW Multiplication work-sheets (turn into addition-only)
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Warm-Up Record temperature; match pictures to various
measurement tools
Lesson Introduce measurement tool: scale; unit: pound
Weigh various objects/ people in class, using subtraction
by letting one student stand on scale and lift object
HW Estimate “how heavy” work-sheet
13
Warm-Up Record temperature
Lesson Experiential Learning Activity: Set up stations where
students measure length, weight, etc.. (work-sheet 3.13)
HW Multiplication problems (making groups/ addition only)
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Warm-Up Record temperature;
Lesson Complete measuring project from yesterday
HW Mixed addition/ subtraction/ multiplication problems
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Lesson - Vocab. Review of Word Banks 1-3
- Review multiplication as repeated addition
- Make table for tool / what we
measure/ unit of measurement
Week 3
Assessment
- grade students’ measurement worksheets and homework
- vocabulary quiz (especially on measurement tools)
- assess how many problems students can solve in 15 minutes
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Math Unit 1 Plan Bridges to Academic Success August 2013 Draft
Week 4: Number Sense, Time, Operations (+, -, x)
Lesson Activities Common Core Standards
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Warm-Up Record temperature ; Review Cuisenaire Rods colors - K.MD.1: Describe measurable attributes
of objects, such as length or weight.
Describe several measurable attributes
of a single object.
- K.MD.2: Directly compare two objects
with a measurable attribute in
common, to see which object has
“more of”/ “less of” the attribute, and
describe the difference.
- 2.MD.6: Represent whole numbers as
lengths from 0 on a number line
diagram.
- 2.MD.7: Tell and write time from analog
and digital clocks to the nearest five
minutes, using a.m. and p.m.
-
Lesson Use Cuisenaire Rods to teach < , >, bigger than, smaller
than, shorter than, longer than
HW < & > problem sets
17
Warm-Up Record temperature; Vocab warm-up on bigger than,
smaller than etc.
Lesson How do we measure time? make paper-clocks with
students and teach students how to read time;
Units: century decade, year, month, week, day, hour,
minute, second
HW Practice reading time work-sheets
18
Warm-Up Record temperature; Review the word “time” and “line”
Lesson Teach students how to make a time-line; start with a
time-line of their day in school, eventually expand to
time-line of their life.
HW addition, subtraction and multiplication work-sheets
19
Warm-Up Record temperature; read time
Lesson Calculate lapse of time between 2 events using time-
lines; “How long does it take?” work-sheet
HW add/ subtract/ multiply time-units
20
Lesson Quiz on reading time and making time-line
Week 4
Assessment
Grading of HW + Quiz
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Math Unit 1 Plan Bridges to Academic Success August 2013 Draft
Week 5: Speed, Distance, Dividing by 2 and 4
Lesson Activities Common Core Standards
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Warm-Up Record temperature; How long does it take to walk/
bike/ drive from your house to school?
- 6.RP.3.b: Solve unit rate problems
including those involving unit
pricing and constant speed.
- 6.RP.3.d: Use ratio reasoning to
convert measurement units;
manipulate and transform units
appropriately when multiplying or
dividing quantities.
- 4.MD.1-3: Solve problems involving
measurement and conversion of
measurements from a larger unit to
a smaller unit.
Lesson What is distance & what is speed? Discuss speed limits.
Introduce Measurement Tool: stopwatch
Unit: meters per hour/sec
Use stopwatch to measure how many problem-sets
students can solve in 5 minutes.
HW Time-line exercise
22
Warm-Up Record temperature; How many minutes are in a
quarter hour? How many minutes are in half hour?
Lesson ELA: Using a stopwatch to measure speed + recording
data in table
HW How many minutes are in half hour, 1.5, 2.5, 3.5 hours…
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Warm-Up Record temperature; practice dividing by 2 and 4.
Lesson Make table about length of flight time to NYC (or
school location), distance in miles; discuss time zones &
calculate what time it is in students’ home countries
HW Identify major cities and distance to capital on home
country map
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Warm-Up Complete temperature graphs and display/ exhibit
Lesson Discuss coldest/ hottest day; have students work with
country maps to determine distances between major
cities/towns and hometowns
HW List distance results into table; identify longest/ shortest
distance
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Lesson Review of tools, unit 1 vocab bank and unit 1 language
objectives
Week 5
Assessment
- End of Unit Exam
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Math Unit 1 Plan Bridges to Academic Success August 2013 Draft
Week 6: Final Project – Distances on a Map
Lesson Activities Common Core Standards
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Warm-Up Introduce Project: Labeled map of home country +
distance between places; introduce google skills
- 3.NBT.1-3: Use place value
understanding and properties of
operations to perform multi-digit
arithmetic.
- 4.OA. 1-3: Use the four operations
with whole numbers to solve
problems.
Lesson Computer Room: Google Maps lesson, how to find out
directions and distance between places
HW Trace country map
27
Warm-Up Turn in traced country maps; review and build on
google skills
Lesson Complete research in computer room; print any
images to enhance country map
HW Operations worksheet
28
Warm-Up Sentence frames for map presentations
Lesson Students receive enlarged copies of traced country
maps, prepare for presentation, practice language
frames
HW Operations worksheet
29
Warm-Up Review sentence frames for presentation
Lesson Begin presentations and exhibit
Emphasize audience skills as much as presentation skills
HW Complete all unfinished homework
30 Lesson Complete Final Presentations
Have students give feedback and ask questions to
presenter
Week 6
Assessment
- Presentation of maps,
- temperature graphs,
- submission of all completed and corrected homework.
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Math Unit 1 Bridges to Academic Success August 2013 Draft
Activity Guide
Math Unit 1 Activity Guide: Temperature Graph
Unit 1 introduces students to various measurement tools while also training
students how to record the data that they measure. For the first six weeks,
students will measure the temperature in Fahrenheit at the beginning of class
and they will record it in a x-axis/ y-axis graph as follows:
Te
mp
era
tur
e
Time
15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
SEPTEMBER
100°
90°
80°
70°
60°
50°
40°
30°
20°
10°
0°
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Math Unit 1 Bridges to Academic Success August 2013 Draft
Activity Guide
Here are some steps to follow:
The teacher provides a real thermometer (digital is ok, but mercury is
preferred) and mounts it outside the window. It is important that students
participate in the act of reading the thermometer.
The teacher models how to do this on a large flip-chart paper that gets
mounted on wall.
The teacher challenges students to do it as neatly as the model. At the
beginning of October, students set up a new graph and record the
temperature without the model.
When students begin a new graph in October, the teacher introduces the
fact that some countries measure the temperature in Celsius while others
prefer Fahrenheit. Give students the option of recording it in either
Fahrenheit or Celsius. At the end of October, compare the graphs and let
students see that they have the same shape even though the units are
different.
Initially (in September), the measuring of the temperature at the
beginning of class may take five minutes or more. In October, students
should be faster at recording the temperature in their graphs so that it is
possible to do another warm-up activity immediately after recording the
temperature.
Consider giving one student the job of reading the temperature and
rotate this job after one week.
Ask students occasionally what the coldest/ warmest day has been.
Get students to guess the temperature before reading it on thermometer.
Display the graphs at the end of October and consider rewarding the
neatest three graphs.
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Math Unit 1 - Week 5 Assessment
Math Unit 1 Bridges to Academic Success August 2013 Draft
Assessment
Name:__________________________________ Date: ___________________
1) Draw a time-line for Lisa's life. Make 1 year = 1cm.
Label the time-line:
a) Lisa was born in 2001.
b) Lisa's sister was born in 2004.
c) Lisa went to 1st grade in 2007.
d) Lisa came to America in 2011.
e) This is now (2013).
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Math Unit 1 - Week 5 Assessment
Math Unit 1 Bridges to Academic Success August 2013 Draft
Assessment
2) Name five measuring tools.
Tool What does it measure?
Clock
Time
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Math Unit 1 - Week 5 Assessment
Math Unit 1 Bridges to Academic Success August 2013 Draft
Assessment
3) I am 2 years old. How many days have I been alive?
Show your math
I have been alive for _________________________________.
4) What do we call this symbol?
=
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Math Unit 1 - Week 5 Assessment
Math Unit 1 Bridges to Academic Success August 2013 Draft
Assessment
5) Circle the correct answer:
What time is it?
a) It is ten to nine.
b) It is 7:50 pm.
c) It is eight past ten.
d) It is 10 o'clock.
6) Circle the correct answer:
How many seconds are in two minutes?
a) 60
b) 100
c) 120
d) 140
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Math Unit 1 - Week 5 Assessment
Math Unit 1 Bridges to Academic Success August 2013 Draft
Assessment
7) Complete the table:
Days Hours
1
2
48
72
4
120
8) How many seconds are in three minutes?
9) Circle the correct answer:
a) The sun moves around the earth.
b) The earth takes 1 day to move around the sun.
c) The earth moves around the sun.
d) The sun moves around the earth in one year.
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Math Unit 1 - Week 5 Assessment
Math Unit 1 Bridges to Academic Success August 2013 Draft
Assessment
10) Circle the correct answer:
a) A meter is smaller than a centimeter.
b) An inch is bigger than a centimeter.
c) An inch is bigger than a foot.
d) A centimeter is bigger than a inch.
11) What time is it?
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Math Unit 1 - Week 5 Assessment
Math Unit 1 Bridges to Academic Success August 2013 Draft
Assessment
12) Linda leaves her house at 8:30 a.m.
She arrives at school at 9:17 a.m.
How long did she travel?
She traveled for
13) I am in New York. I get on a plane at 5:15 p.m. and I fly to Atlanta.
I arrive in Atlanta at 8:10 p.m.
How long did I fly?
I flew for
14) When we measure how long something is, we call it LENGTH.
When we measure how heavy something is, we call it
___________________________________________________.
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Math Unit 1 - Week 1 Lesson 4 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Name: ________________________ Date:_______________
Measuring Length 2
How long is the nail?
How long is the pencil?
The nail is ____________________ long.
The pencil is ___________________ long.
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Math Unit 1 - Week 1 Lesson 4 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Estimate how long each object is.
Circle the correct length
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Math Unit 1 - Week 3, Lesson 13 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Name: ________________________ Date:_______________
Measuring Length
Word Bank:
door
yardstick
meter
estimate
long
table
ruler
centimeter
measure
wide
wall
measuring
tape
inch
fit
tall
finger
measuring
stick
yard
draw
high
arm
board
foot
spread
between
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Math Unit 1 - Week 3, Lesson 13 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 1: Yardsticks
Look at the yardstick. How long is one inch? Draw it here:
1) How many inches do you see on the yardstick?
The yardstick is ________________ inches long.
2) How long is the table?
The table is _______________ inches long.
3) How tall is the door?
The door is ________________ inches tall.
4) How many rulers fit on the yardstick?
______________ rulers fit on the yard stick.
5) How long is the wall?
The wall is __________ yards long.
6) What is longer? A measuring stick or a yardstick?
A _______________________ is longer than a ___________________ .
2
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Math Unit 1 - Week 3, Lesson 13 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 2: Ruler
Look at the ruler. How long is a centimeter (cm)? Draw it here:
1) How many centimeters do you see on the ruler?
We see __________________ on the ruler.
2) Draw a line that is 12 centimeters long.
3) How long are your pencils?
________________’s pencil is ____________ centimeters long.
________________’s pencil is ____________ centimeters long.
4) How long are your middle fingers?
________________’s middle finger is __________ centimeters long.
________________’s middle finger is __________ centimeters long.
3
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Math Unit 1 - Week 3, Lesson 13 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
5) How many centimeters fit into four inches?
__________ centimeters fit into four inches.
6) How many centimeters are equal to four inches?
_________ centimeters are equal to six inches.
7) How long are your hands?
Our hands are _____________cm and _______________ cm long.
8) How wide are your hands?
Our hands are _____________cm and _______________ cm wide.
9) Draw a box that is nine cm long and four cm wide:
4
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Math Unit 1 - Week 3, Lesson 13 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 3: Measuring Tape
1) How many centimeters do you see on the measuring tape?
We see __________ centimeters on the measuring tape.
2) How long are your arms?
_______________________’s arm is _________ cm long.
_______________________’s arm is _________ cm long.
3) How wide can you spread your arms?
________________ can spread her/ his arms ___________ cm wide.
________________ can spread her/ his arms ___________ cm wide.
4) How long is the Smart Board / Blackboard?
The board is ____________ cm long.
5) How high is the window?
The window is ____________ cm high.
6) How wide are your shoulders?
_________________’s shoulders are cm wide.
_________________’s shoulders are cm wide.
5
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Math Unit 1 - Week 3, Lesson 13 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 4: Measuring Sticks
1) How tall are you?
___________________________ is ________ inches tall.
___________________________ is ________ inches tall.
2) How wide can you spread your legs?
_________________can spread his/her legs _____________ inches.
_________________can spread his/her legs _____________ inches.
3) How many inches are there between the door and the Smart
Board?
There are _________________inches between the door and the Smart
Board.
4) How many inches are there between your desk and the Smart
Board?
There are _________________ inches between our desk and the Smart
Board.
6
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Math Unit 1 - Week 3 Lesson 14 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Name: ________________________ Date:_______________
Measuring Weight
Word Bank
flour
scale
grams
weigh
heavy
sugar
digital
kilograms
weight
light
beans
force
pounds
multiplication
balance
soil
measuring
stick
ounce
lift
force
paper-
clip
yardstick
times
height
gravity
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Math Unit 1 - Week 3 Lesson 14 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
1) How much do you weigh?
I weigh ____________________ kilograms.
I weigh ____________________ pounds.
2) Weigh 3 friends and complete the table
Name Weight in kilograms
1
2
3
4
2
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Math Unit 1 - Week 3 Lesson 14 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
3) Weigh the items on your table and complete the
table.
Item Weight in Pounds
1 Rice
2 Beans
3 Flour
4 Salt
5 Paper
3
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Math Unit 1 - Week 3 Lesson 14 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
4) List the items from light to heavy.
1. __________________________
2. __________________________
3. __________________________
4. __________________________
5. __________________________
5) Whose book bag is the heaviest?
________________________________________________
4
30
Math Unit 1 - Week 4 Lesson 18 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Name: Date:
Telling Time
One o’ clock
What time it is?
1
31
Math Unit 1 - Week 4 Lesson 18 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Some friends go play soccer at Riverside State Park after school
2
32
Math Unit 1 - Week 4 Lesson 18 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
From Bronx International High School they must
Walk to the Bx21 1 minute
Ride on Bx21 to 149street 15 minutes
Wait for a transfer to Bx19 for 10 minutes
Ride on Bx19 to the park for 30 minutes
How many minutes does it take to get to the park?
How long does it take? 3
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Math Unit 1 - Week 4 Lesson 18 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
How long does it take?
How long does it take to go from your school to your house?
How do you go? How many minutes does it take?
How long does it take to go from your house to Grand Central
Station?
How do you go? How many minutes does it take?
4
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Math Unit 1 - Week 4 Lesson 18 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
5 How long does it take?
You visit your aunt in Jamaica, Queens. How long does it take
to get to her?
How do you go?
How many minutes does it take?
35
Math Unit 1 - Week 4 Lesson 19 Worksheet
Math Unit 1 Worksheet Bridges to Academic Success August 2013 Draft
1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000
The 20th Century
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Math Unit 1 Word Bank Bridges to Academic Success August 2013 Draft
Week 1 Word Bank
hot cold warm add plus
equals ruler centimeter long line
how long blue red green yellow
black rods purple orange white
dark light brown draw see
think measure color world why
37
Math Unit 1 Word Bank Bridges to Academic Success August 2013 Draft
Week 2 Word Bank
picture axis graph temperature degree
time thermometer height length distance
foot inch millimeter How tall? heat
subtract tool How high? meter count
38
Math Unit 1 Word Bank Bridges to Academic Success August 2013 Draft
Week 3 Word Bank
group paper-clip times multiplication pound scale
weight heavy each inside outside height
weather measuring
stick
yardstick measuring
tape
use draw
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Math Unit 1 Word Bank Bridges to Academic Success August 2013 Draft
Week 4 Word Bank
clock century decade year month week
day home minute second sun earth
how long
does it take?
double divide late early what time is
it?
bigger than smaller than shorter than heavier than longer than taller than
40
Math Unit 1 Word Bank Bridges to Academic Success August 2013 Draft
Week 5 Word Bank
fast
slow distance speed divide capital
half quarter fly flight plane away
far travel walk bike drive direction
41
Math Unit 1 Word Bank Bridges to Academic Success August 2013 Draft
Unit 1: Week 6 Word Bank (Review)
long
short fast slow high big
small low calculate estimate
exactly straight
42
! "!
hot
4343
! #!
! !
cold
4444
! $!
! !
warm
4545
! %!
! !
add
4646
! &!
! !
plus
4747
! '!
! !
equals
4848
! (!
! !
ruler
4949
! )!
! !
centimeter
5050
! *!
! !
long
5151
! "+!
! !
line
5252
! ""!
! !
how long
5353
! "#!
! !
blue 5454
! "$!
! !
red 5555
! "%!
!! !
green 5656
! "&!
!! !
yellow 5757
! "'!
!! !
black 5858
! "(!
!! !
rods 5959
! ")!
!! !
purple
6060
! "*!
!! !
orange
6161
! #+!
!! !
white
6262
! #"!
!! !
dark 6363
! ##!
!! !
light
6464
! #$!
!! !
brown 6565
! #%!
!! !
draw 6666
! #&!
!! !
see 6767
! #'!
!! !
think 6868
! #(!
!! !
measure
6969
! #)!
!! !
color 7070
! #*!
!!!
world !
7171
! $+!
!!!
why
7272
! "!
picture
7373
! #!
! !
axis
7474
! $!
! !
time
7575
! %!
! !
foot
7676
! &!
! !
inch
7777
! '!
! !
subtract
7878
! (!
! !
tool
7979
! )!
! !
temperature
8080
! *!
! !
graph
8181
! "+!
! !
degree
8282
! ""!
! !
how tall?
8383
! "#!
!! !
millimeter
8484
! "$!
!! !
how high?
8585
! "%!
!!!!! !
thermometer
8686
! "&!
!! !
meter
8787
! "'!
!! !
height
8888
! "(!
!
length !
8989
Math Unit 1 Lesson Plan Bridges to Academic Success August 2013 Draft
Math Unit 2
WEEK_1_ LESSON # _4_ FOCUS: Math Symbols
Unit Essential Question: How do parts make up a whole?
Weekly Focus Question: How do we use “Math language” to talk about the world?
Daily Objectives:
Content: What is a symbol?
Language:
What do we call this symbol?
We call this symbol ________?
What do we use this symbol for?
We use this symbol for ___________ .
This story is about _____________ .
VOCABULARY: What will students do with the words and
how? Consider new words and/ or review words and word parts.
Students will be able to distinguish the names we use for mathematical operations and the symbols we use in mathematical expressions.
addition, subtraction, multiplication, division
plus, minus, times, divided by, equal(s)
symbol
1. WARM UP
Motivate, review yesterday’s learning, prepare for today’s learning
5 minutes individual /partners/ group
REVIEW: VOCAB or PRACTICE LANGUAGE NEW: BUILD BACKGROUND
Students chorally count in twos. Teacher signals “thumbs up” to make students count up; when teacher shows “thumbs down,” students have to count backwards (in twos).
2. CONNECT
Show, read and explain today’s objectives & link past to present learning
Explain or have student’s predict how today’s lesson supports the EQ or Focus question
1 minute whole class
We have done a lot of work in Math; today we want to make sure
we can pronounce and spell all our Math symbols. Can somebody tell me: “What is a symbol?”
Explain to students that a symbol is a picture that tells us what to do.
If students have the language capacity, let them know that a symbol stands for (represents) something particular.
3. PRESENT and MODEL
Present new content and language frames (if used)
Demonstrate how to perform the task that students need to do in
step 4 (*focus on
modeling disciplinary
thinking)
5 - 10 minutes whole class
Go through Symbols power point together. Let students practice
language through choral repetition. Use the language frames listed above and make sure they are posted on the board/ wall.
Then model three word problems and ask students if the stories are
about multiplication, division, addition or subtraction. Write each sentence on board with words, then with symbols.
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4. INTERACT
Students interact with activities and each other to meet objectives
This is bulk of the class & where most learning happens
Encourage students to use new vocabulary and language frames
20-30 minutes individual/ partners/ group
In partners, let each pair come up with their own story for each of
the four operations, then present it to the class and explain whether it
is a story about addition, subtraction, multiplication or division. Write the English sentences and Math expressions on the board.
4. REVIEW and ASSESSMENT
Review of lesson with input from students
Ask students to share what they have learned today
Assess individual learning
Connect to EQ or FQ
5 - 10 minutes whole class/ group / individual
Orally review the four operations and their corresponding symbols by using today’s language frames (listed above and on board). Then cover up the language frames on board and give each student an exit slip. In random order, ask students questions such as –
“What symbol do we use for addition?”
“What do we call this symbol?” (draw ÷)
1 Lesson Plan format was adapted from Echevarria, Vogt, & Short. 2013. Making Content Comprehensible for English
Learners: The SIOP Model
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Math Unit 1 Lesson Plan Bridges to Academic Success August 2013 Draft
Math Unit 1
WEEK_4_ LESSON # _17_ FOCUS _____Measuring Time_____________
Unit Essential Question: How and why do we measure the world?
Weekly Focus Question: How do we measure time?
Daily Objectives:
Content: Equivalence among units of time
Language:
1) There are _______ in ________ .
(e.g. There are 365 days in 1 year.)
2) How long does it take to __________ ?
It takes _________ to __________ .
VOCABULARY: What will students do with the words and
how? Consider new words and/ or review words and word parts.
Students will be able to state the relationship between various units of time, using the language frame “There are ___ in ___” and the vocabulary: century, decade, year, month, week, day, hour, minute, second.
1. WARM UP
Motivate, review yesterday’s learning, prepare for today’s learning
10 minutes individual /partners/ group
REVIEW: VOCAB. or PRACTICE LANGUAGE NEW: BUILD BACKGROUND
- How many minutes are in one hour? - How many minutes are in two hours?
2. CONNECT
Show, read and explain today’s objectives & link past to present learning
Explain or have student’s predict how today’s lesson supports the EQ or Focus question
1 minute whole class
In Social Studies you learned that the earth turns around the sun and
that the earth also turns around itself. That’s why we have day and night. Today we are going to learn to write Math sentences about it.
3. PRESENT and MODEL
Present new content and language frames (if used)
Demonstrate how to perform the task that students need to do in
step 4 (*focus on
modeling disciplinary
thinking)
5 - 10 minutes whole class
Get one student to be the sun and another student to be the earth.
Let students show what they remember from Social Studies class.
Help students simulate earth-sun rotation and remember to let earth
turn around its own axis. Ask students, “How long does it take for the
earth to go around the sun?” “How long does it take for the earth to
turn around itself?” Write out the sentences on board; then write the corresponding equations next to each sentence, for example:
24 hours = 1 day
365 days = 1 year.
4. INTERACT 20-30 minutes individual/ partners/ group
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Students interact with activities and each other to meet objectives
This is bulk of the class & where most learning happens
Encourage students to use new vocabulary and language frames
Present the word wall (year, decade, century, month, week, day,
hour, minute, second) and have students log the HL translation of these words in their WORD STUDY books.
Then challenge students to write up as many equations as they can
think of. Let each group present in turn, always letting one student write out the English sentence and another student the equation.
5.REVIEW & ASSESSMENT
Review of lesson with input from students
Ask students to share what they have learned today
Assess individual learning
Connect to EQ or FQ
5 - 10 minutes whole class/ group / individual
Give students an exit slip. Ask them to write down the number of decades, years, months and days they have been alive.
1 Lesson Plan format was adapted from Echevarria, Vogt, & Short. 2013. Making Content Comprehensible for English Learners:
The SIOP Model
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Math Unit 1- Week 5 lesson 22 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Name: ________________________ Date:_______________
Measuring Time
Word Bank
hand
time
minute
leaning
long
arms
stopwatch
second
blinking
short
leg
book bag
half
hold
fast
speed
wall
start
stand
slow
breath
chair
stop
spread
invisible
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Math Unit 1- Week 5 lesson 22 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 1:
How long can you look without blinking
Name Time he/she can look without blinking
1
2
3
4
5
2
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Math Unit 1- Week 5 lesson 22 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 2:
How long can you hold your breath?
Name Time he/she can hold their breath
1
2
3
4
5
3
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Math Unit 1- Week 5 lesson 22 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 3:
How long can you stand on one leg?
Name Time he/she can stand on one leg
1
2
3
4
5
4
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Math Unit 1- Week 5 lesson 22 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 4:
How long can you spread your arms and hold book bags in
each hand?
Name Time he/she can spread arms
1
2
3
4
5
5
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Math Unit 1- Week 5 lesson 22 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 5:
How long can you sit on an invisible chair, leaning against
the wall?
Name Time he/she can sit
1
2
3
4
5
6
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Math Unit 1- Week 5 lesson 22 Worksheet
Math Unit 1 Bridges to Academic Success August 2013 Draft
Worksheet
Table 6:
How fast can you solve 20 addition problems?
Name Number
completed
Number
correct
Time
1
2
3
4
5
Table 7:
How fast can you solve 20 subtraction problems?
Name Number
completed
Number
correct
Time
1
2
3
4
5
7
100