Suggestions for Follow-up Actions (KS3-NA11-4)
Possible problems in students' learning (for reference only)
- Students misunderstand that factorization is a way of addition or subtraction.
- Students fail to distinguish between the distributive law of multiplication and factorization.
- Students are unable to understand the concept of using the cross method to perform factorization.
- Students fail to use the cross method to perform factorization correctly. For example, they wrongly assume that 2x2+x-6= equals to (2x-2)(x+3) .
- Students fail to use the correct + or - signs when factorizing -ax2+bx+c.
Suggestions for Follow-up Actions
| Name | Emphasis | Description | Problem addressed (see above) | Suggested duration (minutes) | Available for self - learning? |
|---|---|---|---|---|---|
Factorization of Quadratic Polynomials in One Unknown (1) |
Using the Cross Method to Factorize Quadratic Polynomials in One Unknown | The classroom activity "Factorization of Quadratic Polynomials in One Unknown (1)" enables students to discover the relationship between a, b, c and r, t when ax2+bx+c=(x+r)(x+t), and thereby understand how to factorize ax2+bx+c. | 
|
30 |  |
Cross Method |
Using the Cross Method to Factorize Quadratic Polynomials in One Unknown | Through the classroom activity "Cross Method", students will learn how to factorize polynomials using the cross method. |
|
30 | |
Cross Method Exercise (1) |
The teacher asks students to complete "Cross Method Exercise" (1) to (3) to consolidate their knowledge. |
|
15 | |
|
Cross Method Exercise (2) |
|
15 | |
||
Cross Method Exercise (3) |
|
15 | |
||
Factorization of Quadratic Polynomials in One Unknown (2) |
Using the cross method to factorize polynomials | In the classroom activity "Factorization of Quadratic Polynomials in One Unknown (2)", students are required to factorize quadratic polynomials in one unknown by using a simplified cross method. |
|
25 | |
Soccer Kid (Updating) |
Using the cross method to factorize polynomials | Through the interactive exercise "Soccer Kid", students will learn the cross method with appropriate feedback. |
|
20 |  |
* 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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