Suggestions for Follow-up Actions (KS3-NA11-3)
Possible problems in students' learning (for reference only)
- Students fail to write a square number in the form of a2
- Students misunderstand that factorization is a way of addition or subtraction.
- Students misunderstand that x2- y2=(x - y)2
- Students misunderstand that ax2 - by2=(ax)2-(by)2
- Students fail to take out the H.C.F. in polynomials.
- Students fail to perform factorization by using perfect square expressions.
Suggestions for Follow-up Actions
| Name | Emphasis | Description | Problem addressed (see above) | Suggested duration (minutes) | Available for self - learning? |
|---|---|---|---|---|---|
Finding the Difference of Two Squares |
Performing Factorization by using difference of two squares | The classroom activity "Finding the Difference of Two Squares" is a guided discovery activity, through which students can discover that x2-y2=(x+y)(x-y) | 
|
30 |  |
Understanding Difference of Two Squares |
During the classroom activity "Understanding Difference of Two Squares", students have to prove that x2-y2=(x+y)(x-y) from the perspective of geometry. |
|
25 | |
|
Misconception in the Difference of Two Squares |
Through the classroom activity "Misconception in the Difference of Two Squares", students can discover that ax2-by2
(ax)2-(by)2 and ax2-by2
(ax-by)2 |
|
15 | |
|
Difference of Squares - What a Wonder! (Updating) |
Through the interactive exercise "Difference of Squares - What a Wonder!", students can consolidate their knowledge with appropriate feedback. |
|
15 |  |
|
Understanding Perfect Square (1)  |
Performing factorization using two perfect squares | During the classroom activity "Understanding Perfect Square (1)", students will prove that x2+2x+1=(x+1)2 from the perspective of geometry. |
|
25 | |
Understanding Perfect Square (2) |
During the classroom activity "Understanding Perfect Square (2)", students will prove that x2+2x+1=(x+1)2 from the perspective of geometry. |
|
25 | |
|
Factorization - Difference of Two Squares and Perfect Squares |
Performing factorization using difference of two squares or perfect squares | Through the interactive exercise "Factorization - Difference of Two Squares and Perfect Squares", students can consolidate their knowledge with appropriate feedback. |
|
15 | |
* The list of possible problems is for teachers' reference only and is not meant to be exhaustive or prescriptive. Teachers can always adapt the activities/materials in order to cater for students' needs.
Other Resources
-
Education Bureau - Mathematics Education
http://www.edb.gov.hk/index.aspx?nodeid=2403&langno=1 -
Hong Kong Education City - Resources Library : Resources Bank > Junior Secondary > Mathematics Education > Mathematics > Secondary Two > Observing Patterns and Expressing Generality > Factorization of Simple Polynomials
http://www.hkedcity.net/resources/ires/ires_browse.phtml?type=list&res_cat_id=2611 - Curriculum Development Institute - Educational Television: Polynomials
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