(Factoring a quadratic expression using Algebra Tiles)

(Students responding at the Colombo Group II Lesson)

The Colombo group II consisted of the following specialists and teachers.

Content Specialist
Mr. Lasitha Fernando

Teachers
(1) Mr. Nihal Premaratne
(2) Mr. P.W.J. Peiris
(3) Mrs. Yamuna Lokuge
(4) Mrs Manel Senanayake

A creditable mention for this group is that the one of the group members (Mr Nihal Premarathne)went in to the extent of getting Alumni sponsorship to create sets of Algebra Tiles for the students. The lesson was highly organized and the following table describes the lesson and the methodology. The lesson was done in three Components.

The lessons were conducted at Royal college Colombo

(Students using Algebra Tiles during the lesson)

Component 1

Distribution of Algebra Tiles

The expressions 2x+4 and -4x+8 were put on the board and the students were asked to represent these using Algebra tiles

The expression 3x-6 was put on the board and the students were asked to represent it using Algebra tiles

The students were asked to draw the Tile pattern on the paper given

Students were asked to measure the rectangle length and width

Each group was asked to present its results

Groups were asked to write the results on the board

Discussed the observation regarding factors of 3x-6 with students

Component 2

Students were asked to represent and factor 4x+8 using Algebra Tiles

Students were asked to represent and factor 2x+4 and 2x-4y+6 using Algebra Tiles

Students were asked to represent and factor 2x^{2}+6x using Algebra Tiles

Students were asked to use the area to arrive at the optimal factorization
2x(x + 3)

Component 3

The students were asked to find the factors of the following expressions as exercises (using Tiles)

Check whether the rectangles were drawn and helped students who were having problems with drawing the rectangles

Observation and support

Explanation and the encouragement for student responses

Support students

Evaluation

Did the students identify tiles correctly?

Did the students represent the expressions correctly?

Did the students represent the expressions correctly?

Did the students draw properly ?

Did the students measure the dimensions correctly?

Did the students get the result
3x-6=3(x-2)

Evaluation

Have the students created the rectangle properly ?

Have the students got the correct factors of the given expressions?

Did the students get the factorizations 2(x^{2} + 3x) and x(2x + 6)?

Have the students obtained 2x(x + 3)?

Did the student accomplish the given tasks correctly ?

(The work of the groups dispaled on the board)

Short term lesson goals achieved
• Students to develop communication and work as a team .
• Teachers to learn the importance of “designing” a lesson
• Introduce students to Algebra Tiles
• Students to understand how to factor quadratic expressions using algebra tiles
• Students to understand how represent a given problem algebraically

Long term goal expected
• Students to develop communication and work as a team
• Teachers to learn the importance of “designing” a lesson
• Teachers to get used to the concept of “open door classroom”