Suggestions for Follow-up Actions (KS3-NA11-2)
Possible problems in students' learning (for reference only)
- Students misunderstand that factorization is a way of addition or subtraction, showing lack of clear understanding of the concept.
- Students fail to take out the highest common factor in polynomials.
- After taking out common factor in a polynomial, students fail to factorize the remaining terms with correct positive or negative sign.
Suggestions for Follow-up Actions
| Name | Emphasis | Description | Problem addressed (see above) | Suggested duration (minutes) | Available for self - learning? |
|---|---|---|---|---|---|
Understanding Factorization (Taking Out Common Factors)(Updating) |
Recognizing that factorization is the reverse process of expansion | Through the interactive exercise "Understanding Factorization (Taking Out Common Factors)", students can acquire an initial understanding that factorization is the reverse process of expansion from the perspective of geometry. |  |
15 |  |
Understanding How to Take Out Common Factors |
Factorizing simple polynomials by factorization | Through the classroom activity "Understanding How to Take Out Common Factors", students can acquire further understanding of the concept of factorization and method of taking out common factors. | 
|
30 |  |
Taking Out Common Factors Exercise |
Then, ask students to complete the worksheet "Taking Out Common Factors Exercise" to consolidate their knowledge. |
|
10 | |
|
Factorization-Taking Out Common Factors (1) |
Then, through the interactive exercise "Factorization - Taking Out Common Factors (1)", students can learn how to take out the highest common factor in polynomials, with appropriate feedback. |
|
15 | |
|
Factorization-Taking Out Common Factors (2) |
Through the interactive exercise "Factorization - Taking Out Common Factors (2)", students can learn how to complete the process of factorization with a given common factor, with appropriate feedback. |
|
10 | |
|
Understanding Grouping Terms |
Factorizing simple polynomials by grouping terms | Through the classroom activity "Understanding Grouping Terms", students can acquire an understanding of the method of grouping terms from the perspective of geometry. |
|
30 | |
* 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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