Graham Knutson
Math Unit Plan: Division
· 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
· 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
· JIM 3: pp. 200,201
· Teach: Working Together p.200
· Exercises for students: p.201
· JIM 3: pp. 202,203
· Teach: Working Together p. 202
· Exercises for students p. 203
· JIM 3: pp. 204-207
· Teach: p. 204
· Exercises for students p. 205-207
· JIM 3: pp. 208,209
· Teach: p. 208
· Student Exercises: p. 209
·
JIM 3: pp. 210,211
·
Teach: p. 210
·
Student Exercises: p. 211
·
JIM 3: pp. 212,213
·
Teach: p. 212
·
Student Exercises: p.213
·
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
·
JIM 3: pp.216-218
·
Teach: p. 216
·
Student Exercises: pp. 217,218
·
JIM 3: pp. 220-222
·
Teach: p. 220
·
Student exercises: p. 221,222
·
JIM 3: pp. 223,224
·
Pretest p.223.224
·
From the teacher’s manual
EquaL Groups
· 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.
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
·
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 |
|
Objectives: TSWBAT
· Understand dividing by five
· Math notebooks
· Pencil
· Blocks
· JIM 3
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 |
|
Objectives: TSWBAT
· Understand and review the division learned over the week
· 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 |
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 |
|