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Graham Knutson

Math Unit Plan: Division

IRP’s

Number Operations

·        explore and demonstrate the processes of multiplication and division up to 50, using manipulatives, diagrams, and symbols

·        calculate and justify the methods they used to find sums, differences, products, and quotients using estimation strategies, mental math techniques, manipulatives, algorithms, and calculators

·        verify their solutions to problems by using inverse operations, estimation, and calculators

Number Concepts

·        recognize and explain whether a number is divisible by 2, 5, or 10

Objectives: TSWBAT

·        Solve division through equal groups

·        Divide by two

·        Divide by five

·        Use a calculator to solve division equations

·        Divide by three

·        Divide by four

·        Divide by one and zero

·        Relate multiplication and division facts

·        Solve missing factors

 

Note:

·        Take the time to teach the children Tic Tac Math if there is time

·        Students have to get into pairs and play against their partner

·        Teacher tells the students page and question from text book to answer

 

Lessons:

Equal Groups:

·        Journeys in Math 3 pp. 198,199

·        Teach: Working Together P. 198

·        Exercises for students p. 199

·        Quest 2000 pp. 126,127

 

Equal Groups and Division

·        JIM 3: pp. 200,201

·        Teach: Working Together p.200

·        Exercises for students: p.201

Dividing by Two

·        JIM 3: pp. 202,203

·        Teach: Working Together p. 202

·        Exercises for students p. 203

Dividing by Five

·        JIM 3: pp. 204-207

·        Teach: p. 204

·        Exercises for students p. 205-207

Dividing by Three

·        JIM 3: pp. 208,209

·        Teach: p. 208

·        Student Exercises: p. 209

Dividing by Four

·        JIM 3: pp. 210,211

·        Teach: p. 210

·        Student Exercises: p. 211

Dividing by one and zero

·        JIM 3: pp. 212,213

·        Teach: p. 212

·        Student Exercises: p.213

Relating Multiplication and Dvision

·        JIM 3: pp. 214,215

·        Quest 2000 pp. 130,131,132,133

·        Teach: p. 214

·        Student Exercises: p. 215

·        Possible game from Quest 2000 p. 132,133

Missing Factor

·        JIM 3: pp.216-218

·        Teach: p. 216

·        Student Exercises: pp. 217,218

Problem Solving

·        JIM 3: pp. 220-222

·        Teach: p. 220

·        Student exercises: p. 221,222

Review

·        JIM 3: pp. 223,224

·        Pretest p.223.224

Test

·        From the teacher’s manual

 

EquaL Groups

 

Objectives: TSWBAT

·        Understand division through diagrams, words, and blocks

·        Understand the concept of equal groups and division

 

Materials:

·        Blocks

·        Paper

·        Pencil

·        Journey in Math 3 Textbook

 

Hook:

·        We are going to begin our unit with mathematics for division.  Can anyone tell me an example of division?  I will show you division through these blocks.

 

Procedure:

Time

What Teacher Does

What Students Do

10 min

·        Introduce division by referring to the hook. 

·        The first activity for the children is to sit in the circle and discuss division

·        Show them examples of division using blocks and have them answer your questions

·        Students participate and ask questions

 

·        Point to the procedure of the lesson

·        Get students to read out the procedure

·        Tell them to return to their seats and one person from each table gathers 50 blocks

·        Everyone in the groups must participate and each draw the block formation.  They must also write a division question for that formation.

·        You will have 10 minutes for this activity

·        Pass out scrap pieces of paper

 

·        Read out the procedure and return to their seats

·        One person from each group gathers 50 blocks

·        Begin on the activity

·        Make equal groups with the blocks

·        Write division equations with the blocks

15 min

·        Tell students to return their blocks and gather back into the circle

·        Gather students back in the circle

·        Have a couple of students show their division formations with the blocks

·        Teach the working together section on p. 198 of JIM 3

·        Students participate and answer the questions

·        Return to the circle and participate in discussion

15 min

·        Students have to do exercises on page 199 of JIM 3 in their math notebooks

·        Whatever is not finished must be done for homework

·        Ask if they have any questions

·        If students finished early, no computer activities

·        Silent reading, homework, crosswords, etc.

·        Return to their seats and do the math exercises

 

·        Send students back to their seats

 

5 min

Conclusion:

·        Ask what they learned about division from this lesson

·        Do you have any questions?

·        Participate in discussion

 

Assessment:

·        Participation throughout the lesson

·        Understanding of division through blocks

·        Performance with the math exercies

·        Behavior during the lesson

 

Lesson: Equal Groups and Division

 

Objectives:

·        Understand division through equal groups and pictures

 

Materials:

·        Pencil

·        Coloring materials

·        Math Notebooks

·        JIM 3

 

Procedure:

Time

What Teacher Does

What Students Do

10 min

·        Gather students in circle

·        Let students know that we are continuing with equal groups

·        Today we are going to draw division

·        Do Working Together with the students

·        Tell students they can draw any animal in groups to represent division

·        Get students to read out procedure

·        Pass out sheets of paper to the students

·        Send them back to their seats

·        Participate in discussion

·        Read out procedure

·        Return to their seats with the paper

10 min

·        Each student draws their division question (10 minutes)

·        Shows their group members their division question and they try to solve them

·        Can color their drawings if they have enough time

·        Stop after 10 minutes

·        Return to the circle

·        Participate in drawing and answering group members division drawings

·        Stop after 10 minutes and return to the circle

5 min

·        Ask some students to show their work

·        Explain that they have to do the questions on p. 201 of JIM 3

·        Ask if they have any questions

·        Send them back to their seats

·        Participate in discussion and show work

·        Return to their seats

15 min

·        Circulate and ensure students understand the exercises

·        Whatever is not finished must be done for homework

·        Do the exercises from the text

5 min

Conclusion:

·        Ask if they have any questions regarding the lesson

 

 

Assessment:

·        Participation throughout the lesson

·        Understanding of division through drawing

·        Behavior during the lesson

·        Math exercises

 

 

Lesson: Dividing by two

 

Objectives:

·        To understand dividing by two

 

Materials

·        Pennies

·        Blocks

·        Pencil

·        Math notebook

·        JIM 3

 

Procedure:

Time

What Teacher Does

What Students Do

10 min

·        Gather students to circle

·        Do Working Together with the students

·        Explain to them that they can use blocks or pennies to make division questions

·        When you have figured out a question share with the rest of the group

·        One student from each group grabs 50 pennies or blocks

·        Ask if they have any questions

·        Tell students to return to their seats

·        Participate and discuss with Working Together

·        One person from each group grabs 50 pennies or blocks

·        Return to their seats

10 min

·        Circulate and observe for understanding

·        Ask students to stop and return the pennies or blocks.  Return the circle

·        Students begin on the exercise

·        Show their group members the equations they came up with

·        Stop after 10 minutes and return the materials.  Return to the circle

5 min

·        Discuss with students the activity and ask some students to show their work

·        Tell them to do the exercises on p. 203

·        A calculator has to be used for the bottom questions

·        Ask if they have any questions

·        Any work they have not finished must be done for homework

·        Send students to their seats

·        Participate in discussion

·        Return to their seats

15 min

·        Circulate and help the students

·        Do the exercises on p. 203

5 min

Conclusion:

·        Ask what they have learned and if they have any questions

 

 

Assessment:

·        Behavior during the activity

·        Understanding division by two through blocks or pennies

·        Participation in discussion

·        Exercises in JIM 3

 

 

Lesson: Dividing by 5

 

Objectives: TSWBAT

·        Understand dividing by five

 

Materials

·        Math notebooks

·        Pencil

·        Blocks

·        JIM 3

 

Procedure

Time

What Teacher Does

What Students Do

10 min

·        Gather students to circle

·        Do working together with them

·        Explain the routine that they will be doing with the blocks (same routine)

·        Ask if they have any questions

·        Send them back to their seats

·        Participate and discuss

·        One student in each group grabs 50 blocks

·        Return to their seats

10 min

·        Circulate and observe

·        Ask students to return the blocks and go back to the circle

·        Figure out division questions with the blocks and share with the group

·        Return materials and go back to the circle

5 min

·        Ask students if they have any questions

·        Some students can share their questions

·        Tell students that they have to do p. 205

·        Any unfinished work will have to be done for homework

·        Send them back to their seats

·        Participate in discussion and return to their seats

15 min

·        Circulate and observe

·        Do exercises from p. 205

5 min

Conclusion

·        What did you learn about division today?  Do you have any questions?

 

 

Assessment

·        Behavior

·        Understanding of division by 5 through blocks

·        Exercises on p. 205

 

 

Week 2: April 2-5

 

Lesson: Practice and Review

 

Objectives: TSWBAT

·        Understand and review the division learned over the week

 

Materials

·        Pencil

·        Math Notebooks with previous homework

·        At least two pieces of paper

·        JIM 3

 

Procedure:

Time

What Teacher Does

What Students Do

20 min

·        Review with the students the chapter by playing Division Bingo

·        Equal groups, dividing by two, and dividing by five

·        Do a little review to ensure understanding

·        Tell students they will be doing p. 206 from the text, when they are finished then they can try out Dividing with a Calculator

·        Get students to read out procedure

·        Ask if they have any questions

·        Tell students to return to their seats

·        Participate in discussion

·        Return to their seats

40 min

·        Sit in seat and be available for questions

·        Students to exercises on p. 206 and 207

·        They must follow the directions in the text.  Which means depending on the questions; draw, write, and solve the equation

·        Raise hand when finished or if have questions

·        Teacher will let them know next step in lesson (Tic Tac Math)

 

Extension:

·        Can play division Bingo again if everyone is finished early

·        Tic Tac Math

·        Students are placed in partner’s and ask questions from the chapter

·        If the student answering gets it correct then they place an X or an O on the grid

·        They then change jobs

·        If there is an odd group then they can play the dice game (Bah Humbug)

Conclusion

·        Ask if they have any questions

·        Discuss and ask questions

 

Assessment

·        Behavior

·        Understanding of the weeks work of math

·        Exercises from the text

·        Participation throughout lesson

 

 

Lesson: Dividing by Three

 

Objective: TSWBAT

·        Divide by three

 

Materials:

·        Pencil

·        Paper

·        Math Notebooks

·        JIM 3

 

Procedure:

Time

What Teacher Does

What Students Do

15 Min

·        Get students to play Tic Tac Math

·        Participate in activity

·        Must use questions from their homework

5 min

·        Teach “Working together” from page 208

·        Ask student s to read out procedure

·        Tell students that they will be doing Exercise and Try This from page 209

·        When they are finished or have a question they should raise their hand

·        Ask if they have any questions

 

·        Turn to page 208 and participate

·        Read out procedure

40 min

·        Sit at desk and go to students when they raise their hands

·        Work on the exercises

 

Extension:

·        Can play Division Bingo if everyone is finished

·        Tic Tac math in Pairs

·        Dice game or other math games

Conclusion:

·        Ask if they have any questions

·        Play a math game

·        Ask questions and makes suggestions

 

Assessment

·        Behavior

·        Understanding of the weeks work of math

·        Exercises from the text

Participation throughout lesson

 

 

 Lesson: Dividing by 4

 

Objectives:

·        Divide by 4

 

Materials:

·        White Paper

·        Paper

·        Pencil

·        JIM 3

·        Math notebook

·        Coloring materials

 

Procedure:

Time

What Teacher Does

What Students Do

15 min

·        Explain to students that you want them to each figure a division sentence and then draw it using whatever objects they want (e.g. frogs)

·        Expect this to be an individual quiet activity

·        Ask if they have any questions

·        Hand out paper and tell them to take out their pencils and coloring materials

·        Students draw their division sentence

5 min

·        Ask some students to come up and share their drawings

·        Ask students to take out their textbooks

·        Do “Working Together” with students from page 210

·        Ensure their understanding

·        Ask students to read out procedure

·        Ask the students to do p. 211

·        Come up and show drawings

·        Participate

·        Turn to page 210 of JIM 3

·        Read out procedure

40 min

·        Sit and be available for questions

·        Put up hand when have a questions or are finished

 

Extension:

·        Tic Tac Math

·        Bingo if all finished

·        Math Flash Cards

·        Dice Game

·        Other Math games

Conclusion:

·        Ask if they have any questions

Asessment:

·        Behavior

·        Understanding of the weeks work of math

·        Exercises from the text

Participation throughout lesson

 

 

·        Must play a math game

 

Lesson: 1 and 0 in Division

 

Objective: TSWBAT

·        Divide by 1 and 0

 

 

Materials:

·        JIM 3

·        Pencil

·        Paper

·        Math Notebook

 

Procedure:

Time

What Teacher Does

What Students Do

15 min

·        Ask for a vote:

·        Play division bingo, Tic Tac Math, or do some math art for 10 minutes

·        Do chosen activity

 

·        Vote and participate in activity

5 min

·        Ask students to get their text out and turn to page 212

·        Do Working Together from page 212 in JIM 3

·        Ask students to read out procedure

·        Have to do questions on page 213

·        Any Questions?

·        Let them know this is a quiet and individual activity and that you expect this

·        Must raise hand to ask questions or let me know that they are finished

·        Participation

·        Read out procedure and ask questions

40 min

·        Sit at desk and be available

·        Do exercises

 

Extension:

·        Bingo, Tic Tac math, Flashcards, Dice game, or other math games

Conclusion:

·        Ask if they need any clarifications or have any questions

·        Must do a math activity

 

Assessment:

·        Behavior

·        Understanding of the weeks work of math

·        Exercises from the text

Participation throughout lesson

 

 

 

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