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Mathematics Governor’s Institute 2006

(Download as Microsoft Word Documents or Images: Instructional Plan, Nursery Time 1, Wee Willie Winkie 2, Nursery Times 3, Wee Willie Winkie 4, Time Ruler B, Ruler - Image, Spinner - Image, Clock - Image, Answer Keys)

Names of Group Members: Pat Miller, Cathy Weisser, Rochelle Marbury, Chris Giardini, Audrey Blust

Topic/Theme : Measurement – Elapsed Time

Key words: analog clock, digital clock

Level : 4^th - 5^th grades

Time Element : ( 3 – 50 minute periods)

NCTM Standards Addressed:

Measurement : Apply appropriate techniques, tools, and formulas to determine measurements, select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles
Reasoning : recognize reasoning and proof as fundamental aspects of mathematics; make and investigate mathematical conjectures; develop and evaluate mathematical arguments and proofs
Connections Standard : recognize and use connections among mathematical ideas; understand how mathematical ideas interconnect and build on one another to produce a coherent whole; recognize and apply mathematics in contexts outside of mathematics

PA Math Standards: M5.B Measurement

Measurement and Estimation: Select and use appropriate instruments and units for measuring quantities (e.g., perimeter, volume, area, time, weight, temperature)
Math Reasoning and Connections : Use models, number facts, properties and

and relationships to check and verify predictions and explain reasoning; draw inductive and deductive conclusions within mathematical contexts

Math Assessment Anchors: M5.B.1.2.2

· Add or subtract linear measurements (e.g. units of time)

Reading Assessment Anchors: R5.B.1.2.2

· Understand components within and between texts.

· Understand literary devices in fictional and nonfiction text.

Objectives:

Determine elapsed time
Use deductive reasoning to solve problems
Identify and determine the fractional parts of time.

Instructional Strategies and Plan:

Day 1 : Introduction of Time Elapse

Materials:

Copy of Mother Goose’s Nursery Rhyme, “Wee Willie Winkle” – Make into a Transparency ( See Template)
Fraction Circle Template- Make into a transparency (See Template)
Analog Template- Make into a transparency (See Template)
Circular Fractional Parts (1/4’s, ½’s) color code your fractional parts pieces

Have available ahead of time for manipulation. Circle sizes to match clock

faces.

Vocabulary card words: quarter after, half-hour, quarter of (See Template)
Time Line Worksheet - Make enough time lines for each of your students in

advance- if possible, laminate (See Template)

Two different colored paper clips
3 x 5 index cards

Vocabulary Words: quarter after, half hour, quarter of, elapse time

Procedure: Before class begins, if possible, COVER the analog clock in your

classroom

1. Read the Poem “Wee Willie Winkle”

Ask students for interpretation of the rhyme

Note the reference to “Time”

2. Put Circle Transparency onto the overhead

Briefly review and identify ½, ¼, ¾ using color-coded pieces

3. Put Analog Clock Transparency on the overhead

Numbers on the clock are missing. What do the whole numbers represent in terms

of measurement?

Example: 1 can represent 5 minutes or 1 can represent 1 hour depending upon the

unit of measure being used.

Where did you put the whole numbers?

Review that the whole numbers on the clock skip count by 5’s ( Making a

multiplication connection.)

Identify the minute markings on the clock

Now distribute the student copy of an analog clock. Fill in the whole numbers.

Adaptation if needed for next step: Have two different colored circles available

for cutting into ½ ‘s and ¼ ‘s for the students’ worksheets.

4. Place the ¼ circular fractional piece on the transparency analog clock between the 12

and 3. Students identify the part and the amount of time it represents. On what whole

number on the clock does this ¼ fractional piece end? Remove piece. Adaptation:

You can correlate the analog time to the digital time by writing the digital time in the

digital clock.

5. Place the ½ circular fractional piece on the transparency analog clock between 12 and

6. Students identify the fractional pieces and the amount of time it represents. On what

whole number on the clock does this ½ fractional piece end? Remove piece.

Adaptation: You can correlate the analog time to the digital time by writing the

digital time in the digital clock

6. Place ¾ circular fractional pieces on the transparency analog clock between 12 and 9.

Students identify the fractional piece and the amount of time it represents. On what

whole number on the clock does this ¾ fractional piece end? Remove piece.

Adaptation: You can correlate the analog time to the digital time by writing the

digital time in the digital clock.

7. Students make predictions on where to place the (3) vocabulary word cards on the

clock. Call on one or three different volunteers to come to the overhead to

demonstrate where these vocabulary words will be placed on the clock.

8. Distribute laminated time lines to each student.

Ask students to identify the attributes of time

Example: (24 hours in a day, 12 hours in the a.m., 12 hours in the p.m., distinguish

Between a.m. and p.m. and how Time is linear, connects in a circular form,

dividing line marks between each hour)

9. Can the students predict what the line marks represent between each hour mark?

(15min., 30 min.,45 min.)

Have students use vocabulary words, and the amount of time each mark represents

10. To show elapsed time, choose one colored paper clip to represent a starting time and

the other for the finishing time.

Teacher samples:

Willie eats breakfast at 9 a.m. and gets to the park in two hours. What time does

Willie arrive at the park?

Willie eats lunch at 11:45 a.m. He only has a half-hour to eat lunch. What time

is he finished?

Willie is finished lunch at 12:15 p.m. He has to finish his chores in an hour and

fifteen minutes. What time is it?

11. In pairs, students are to write onto a 3 x 5 card (one problem on each side) two

elapsed problems. Stay in pairs. Rotate each pair’s card to the right. The next

student pair is to solve the problems on the index card. Check answers with the

original authors.

Day 2

Mini review of Time Line Ruler
Group page – Nursery Times 1 – Teacher directed activity in a cooperative

group that reasoning strategies are verbally shared. After groups have completed

activity class is brought back together to discuss strategies.

Students will be given an opportunity to practice lesson objects independently with the activity Nursery Times 2. When completed students will write a journal entry describing strategies used to complete activity. Any work not completed will be completed for homework.

Day 3

Partner activity – Discuss the Nursery Times 2 activity.
In a large group review student answers. Discuss strategies used in Journal Entry.
Flex Grouping – Teacher works with students that are struggling with the concept.

The rest of the group will work on the next challenging activity.

All students will be given an Exit Slip Assessment.

Interdisciplinary Connections:

Reading - Reading Nursery Rhymes

Social Studies Connection – During colonial times dollar coins were cut into quarter pieces to give as change for a dollar.

Assessment Strategies:

Formative Evaluation

Journal Entry

Teacher observation

Summative Evaluation

Exit Cards - Exit cards are a quick one problem assessment card given at the end of a lesson to demonstrate understanding of a concept.

Remediation: Nursery Time 3

Flex grouping determined after practice page on Day 2
Day 3 remediation or extensions

Enrichment/Extensions:

Draw a map of where Willie went.

Make up your own nursery rhyme that uses time.

Find a nursery rhyme that has time included

Special Accommodations:

· Special Needs Students: larger font, manipulatives, analog clock, fractional pieces

· Talented Students - Nursery Time 4

· Extensions for student questions and possible answers.

Thinking and Reasoning Questions – Nursery Time 1

ST- Where do I start?

TR- Talk with a neighbor and come up with strategies to help you begin.

ST- Was the 4 1/2 hours just at the park?

TR – 4 ½ includes the time to get to the ice cream shop.

ST – Help – I’m stuck!

TR – Suggest they list all problem solving strategies – When they list draw a picture suggest they to do so…telling them that sounds like a plan.

TR - Pose a question…IS every piece of information important?

TR – What clues have you used? What clues can you eliminate? Number the clues to help you.

Wee Willie Winkie

runs through the town,

Upstairs

and

downstairs,

in his nightgown;

Rapping at the window,

crying through the lock,

"Are the children

in their beds?

Now

it's eight o'clock."

Mother Goose Nursery Rhyme

quarter after

quarter of

half-hour

quarter after

quarter of

half-hour

Name_______________________________ Date__________________

Nursery Times 1

Wee Willie Winkie runs through town making 5 stops before returning home rapping at the window at 8 p.m.

Use the clues below to find the arrival times at each stop. Be sure to include a.m. or p.m.

Clues

· Peter Piper’s house was Willie’s second stop.

· After spending 4 ½ hours at Humpty Dumpty Park reading and napping, Willie arrived at Jack and Jill’s Ice Cream Shop.

· Wee Willie left for his adventure at 11:06 a.m.

· He spent 48 minutes at his friend Peter Piper’s house before walking to the library, which was an 11 minute walk.

· Wee Willie arrived at school 27 minutes after leaving his house, running up and down stairs all along the way.

· It took Willie 49 minutes to do research at London Bridge Library before going to Humpty Dumpty Park.

· He played at Mother Goose playground, at school, for 14 minutes and then walked for 17 minutes before arriving at his second stop.

· The walk from the library to the park took ¼ hour to complete.

· Willie leaves Jack and Jill’s Ice Cream Shop 35 minutes after arriving.

Locations Arrival Time

Mother Goose School ____________

Humpty Dumpty Park ____________

Jack & Jill’s Ice Cream Shop ___________

London Bridge Library ____________

Peter Piper’s house ____________

Name________________________ Date ___________________

Nursery Times, 2

Wee Willie Winkie was very busy as he ran through town, before finally rapping on his window to inquire, “Are all the children in their beds…?”

Use the clues to find out what time Willie arrived at each place he visited. Be sure to include a.m. or p.m.

Clues

· It took Wee Willie ¾ hours to reach his first stop, the London Bridge Library.

· Willie hung out at Peter P.’s house for 1 hour 25 minutes, and then he jogged for 23 minutes to Jack and Jill’s Ice Cream Shop.

· The Library was closed when Willie arrived. He quickly headed to Mother Goose School, and got a drink, as it had been 1 hour since he had a glass of water when he left home.

· Willie had a nice 20 minute chat with the Principal, and then walked for 9 minutes to the nearby Humpty Dumpty Park.

· Wee Willy Winkie left the house at 11:45 a.m.

· At Humpty Dumpty Park, Willie played basketball with Little Bo Peep for ninety minutes. He then realized he had promised to stop at his friend Peter Piper’s house. It took him 50 minutes to get there, because he was so tired!

· At Jack and Jill’s Ice Cream Shop, Peter had dinner and dessert, and finally headed home.

Remember: Include a.m. or p.m. when you write the Arrival Times!

Location Arrival Time

Mother Goose School _____________

Humpty Dumpty Park _____________

London Bridge Library _____________

Jack and Jill’s Ice Cream Shop _____________

Peter Piper’s House _____________

See the back of this page for your journal writing assignment!

Nursery Times, Two Journal Writing

What strategy(s) did you use to solve this problem?

__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

___________________________________________________________________________________________________________________________________________________________________________

Name ______________

Nursery Times 3

Wee Willie Winkle leaves his home at 4:30 p.m. He runs upstairs and downstairs and all through Hey Diddle Diddle Town. He does get back at 8:00 p.m. to check if all the children are in their beds.

Below are clues to the places and times he went while wandering around town.

Clues

☺ Wee Willie is at the Mother Goose School 1 ¾ hours after he leaves home.

☺ Wee Willie goes to the Humpty Dumpty Park 45 minutes after being at school.

☺ Wee Willie is rapping at the library window 25 minutes before he gets to school.

☺ Wee Willie leaves home at 4:30 p.m.

☺ Wee Willie visits his friend, Peter Piper, 15 minutes after he leaves home.

☺ Wee Willie gets to Jack and Jill’s Ice Cream shop 40 minutes after leaving Humpty Dumpty Park.

What time did Wee Willie Arrive at each of these places? Be sure to include a.m. or p.m. in your answer.

Place Arrival Time

Mother Goose School ………………. ..
Humpty Dumpty Park ………………….
Jack and Jill’s Ice Cream Shop ………..
Visiting with Peter Piper ………………
Rapping at the Library …………………...

Answer Key Nursery Times, 3

Place Arrival Time

1.Mother Goose School ………………. .. 6:15 p.m.

2. Humpty Dumpty Park …………………. 7:00 p.m.

3. Jack and Jill’s Ice Cream Shop ……….. 7:40 p.m.

4. Visiting with Peter Piper ……………… 4:45 p.m.

5. Rapping at the Library …………………... 5:50 p.m.

Name _______________________

Nursery Time 4

Wee Willie Winkie leaves The Old Lady in the Shoe at 4:15 a.m. to visit Peter Piper in Londontown. Willie must be home by 8 p.m. for a rapping session. Willie needs to make 5 stops along the way.

Clues

· Willie’s train arrives in Chester at 8:38 a.m. to shop at the market

· The travel time from Londontown to Chester is 8 hours and 11 minutes

· The travel time from Londontown to Kingstown is 4 hours and 20 minutes

· To travel from Chester to York is half the travel time from London town to Kingstown.

· The train arrives in Jersey 10 3/4 hours after leaving the Old lady in the Shoe.

Use the clues to write Willie’s arrival times at each stop.

Be sure to include a.m. or p.m.

Willie’s Ride to Londontown

City Arrival Time

Londontown 1.

Kingstown 2.

Chester 3.

York 4.

Jersey 5.

When will Willie get home? _______________________

Draw a map and label the different stops on Willie’s adventure.

Rounded Rectangular Callout: Cut
Here

NOTE:

When cutting out the rulers you can keep the AM-PM component or cut below that strip to remove it. Make the cuts for the inserts then when making the inserts, make certain that the hours are overlapped so that the proper numbers are visible. By John Martin