Lesson: Multiplication  as repeated addition

Student Materials: This lesson makes use of the Base 10 or "Diene's blocks, paper and pencils.

Class Description: Open to the teacher's discretion.
 

Objectives:
1. After the lesson, the students will be able to to use numeric symbols to find the product of a set of integers.
 

Set:
Introduce the concept of Multiplication by displaying the Base 10 blocks to the students and asking them to isolate a specific number of them (2 to 20, depending on their level)

Role of Teacher:
First as a facilitator of discovery, second as an information provider.

Procedure:
1. After introducing the Base 10 blocks bring out 6 individual blocks by using the overhead and ask the students if they might be able to combine some of them to form  three groups of equal number (2, 2, 2, right?).  Arrange the blocks to form three groups with two blocks in the groups.

2.  Now use different numbers of groups to make up new products, like 4, 4, 4 or 5, 5, or 6, 6, 6, 6.  Each time asking the students to find the total.

3.  Write the correct answer on the overhead and regroup all of the blocks in groups to show the students the concept that you wish them to learn.

4.   Give the students enough base 10 blocks to work out the problems, which are ahead.

5. Write the  problems which you think will not be too hard for your students, yet still challenging to them

6.  Ask them to figure out the solutions.  Model the technique you wish them to use as often as is needed by the students to catch on.

7. When you judge that the students know how to find the sum of two sets of numbers, carry on to the next level and use the number symbols themselves.

8.  Ask the students to bring out their papers and have them copy the new problems that you will write on the overhead.

9. Write the new problems and have the students come up with the answers.  They may still you the blocks if you feel that they are still at that level.

10.  Remember- our objective is for the students to be able to work with the abstract number symbols themselves, so they will need to carry on to that level in due time.

Closure:
After you have completed the activities, have the students write out their own addition problems and have them share these with the class.

Evaluation:
Check to see if the objective was meet by the students by given them individual problems to work out.

Later activities:
You may also show other methods to find the products of sets of integers, such as combining combinations, and area.

Lesson:  Division  as repeated subtraction (partitioning)

Student Materials: This lesson makes use of the Base 10 or "Diene's blocks, paper and pencils.

Class Description: Open to the teacher's discretion.
 

Objectives:
1. After the lesson, the students will be able to to use numeric symbols to find the answer of dividing sets of integers.

Set:
Introduce the concept of division by displaying the Base 10 blocks to the students and asking them to isolate a specific number of them (2 to 20, depending on their level)

Role of Teacher:
First as a facilitator of discovery, second as an information provider.

Procedure:
1. After introducing the Base 10 blocks bring out 10 individual blocks by using the overhead and ask the students if they might be able to combine some of them to form  two groups of equal number (5, 5, right?).  Arrange the blocks to form two groups with five blocks in the groups.

2.  Now use different numbers of groups to make up new answers, like 20 divided into 4 equal groups  or 15 into 3 groups  or 36 into 6 groups.  Each time asking the students to find the answer.

3.  Write the correct answer on the overhead and regroup all of the blocks in groups to show the students the concept that you wish them to learn.

4.   Give the students enough base 10 blocks to work out the problems, which are ahead.

5. Write the  problems which you think will not be too hard for your students, yet still challenging to them

6.  Ask them to figure out the solutions.  Model the technique you wish them to use as often as is needed by the students to catch on.

7. When you judge that the students know how to find the sum of two sets of numbers, carry on to the next level and use the number symbols themselves.

8.  Ask the students to bring out their papers and have them copy the new problems that you will write on the overhead.

9. Write the new problems and have the students come up with the answers.  They may still you the blocks if you feel that they are still at that level.

10.  Remember- our objective is for the students to be able to work with the abstract number symbols themselves, so they will need to carry on to that level in due time.

Closure:
After you have completed the activities, have the students write out their own problems and have them share these with the class.

Evaluation:
Check to see if the objective was meet by the students by given them individual problems to work out.